The maximum number of hours Connor can work in landscaping is 5 hours.
What is the inequalities?In mathematics, inequalities are statements that compare two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), and "!=" (not equal to).
Let's denote the number of hours Connor works in landscaping as x. Then we have the following system of inequalities:
x ≤ 15 - 12 (since Connor can work a maximum of 15 hours in total, and he already worked 12 hours walking dogs)
8(12) + 12x ≥ 160 (since Connor must earn no less than $160)
Simplifying the second inequality, we get:
96 + 12x ≥ 160
12x ≥ 64
x ≥ 64/12
x ≥ 5.33
Since we need to have a whole number of hours, the maximum number of hours Connor can work in landscaping is 5 hours. We can check that this satisfies both inequalities:
5 ≤ 15 - 12
5.33 (rounded up to the nearest whole number) × 12 + 8(12) = 68. 16 ≥ 160
Therefore,Let's denote the number of hours Connor works in landscaping as x. Then we have the following system of inequalities:
x ≤ 15 - 12 (since Connor can work a maximum of 15 hours in total, and he already worked 12 hours walking dogs)
8(12) + 12x ≥ 160 (since Connor must earn no less than $160)
Simplifying the second inequality, we get:
96 + 12x ≥ 160
12x ≥ 64
x ≥ 64/12
x ≥ 5.33
Since we need to have a whole number of hours, the maximum number of hours Connor can work in landscaping is 5 hours.
We can check that this satisfies both inequalities:
5 ≤ 15 - 12
5.33 (rounded up to the nearest whole number) × 12 + 8(12) = 68. 16 ≥ 160
Therefore, the answer is 5.
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How many Hamiltonian circuits exists in a complete graph with 11 vertices?
10!
12!
11!
9!
An [tex]11[/tex]-vertex full graph has around [tex]19,958,931,200[/tex] Hamiltonian circuits in a complete graph.
Describe the Hamiltonian circuit with an example.At one vertex, the Hamiltonian route begins, and at another, it finishes. Yet, when following a Hamiltonian route, every vertex is encountered. At the same vertex, the Hamiltonian circuit begins and terminates. For instance, if a Hamiltonian circuit's path began at vertex 1, the loop will also conclude at that vertex.
The Hamiltonian circuit: what is it?Single circuit is the sole trip a Hamiltonian circuit makes to each vertex. It must begin and terminate at same vertex since it is a circuit. A Hamiltonian route does not start and end in a single location, but it does visit each vertex just once with no repetitions.
We have to divide by [tex]2(n-2)[/tex]
[tex]11!/(2(11-2)!) = 11!/2,520[/tex] Hamiltonian circuits we get:
[tex]11!/2,520 = 19,958,931,200[/tex]
Therefore, there are approximately [tex]19,958,931,200[/tex] Hamiltonian circuits in a complete graph with [tex]11[/tex] vertices.
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Dan had 50% fewer stickers than Jeff. After Jeff gave 20 of his stickers to Dan, Dan had 40% fewer stickers than Jeff (had after he gave away 20 of his stickers). How many stickers did Dan have at first?
Dan had 50% fewer stickers than Jeff. After Jeff gave 20 of his stickers to Dan, Dan had 40% fewer stickers than Jeff. Dan had 320 stickers first.
Dan had 50% fewer stickers than Jeff.
After Jeff gave 20 of his stickers to Dan, Dan had 40% fewer stickers than Jeff (had after he gave away 20 of his stickers).
How many stickers did Dan have at first?
The total number of stickers that Jeff had is denoted by J, and the total number of stickers that Dan had is denoted by D.
In order to solve the question, let us first represent the given data mathematically:
J = 1.5D; D+20 = 0.6(J-20)
We have 2 equations and 2 unknowns, J and D.
We can solve these equations using simultaneous linear equations.
Substitute the first equation in the second equation:
D+20=0.6(J-20)
⇒ D+20=0.6J-12
⇒ D=0.6J-32
Now substitute the value of D in the first equation:
J=1.5D
⇒ J=1.5(0.6J-32)
⇒ J=0.9J-48.
Therefore, J=480
The total number of stickers that Jeff had initially was 480.
Now, to calculate the total number of stickers that Dan had, we can use the equation
J=1.5D:J=1.5D
⇒ 480=1.5D
⇒ D=320
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Tanya painted a mural that was 8 feet tall. The area of the mural was 224 square feet. What is the length of Tanya’s mural?
The length of Tanya's mural is 28 feet.
What is the length of Tanya’s mural?A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.
Area of a rectangle is expressed as;
Area = length × width
We know that the area of Tanya's mural is 224 square feet, and the height of the mural is 8 feet.
So we can use these values to find the length of the mural:
Area = length × width
224 = length × 8
To solve for the length, we can divide both sides of the equation by 8:
length = 224 ÷ 8
length = 28 feet
Therefore, the dimension of the length is 28 feet.
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if you are a 54 % free-throw shooter and the random variable y denotes the total number of shots in order to make one free-throw, then:
The expected number of shots required to make one free-throw is approximately 1.85.
To calculate the expected value of Y, denoted by E[Y], we need to consider the probability distribution of Y.
The probability distribution of Y is a geometric distribution, since we are counting the number of trials required until the first success (i.e., making a free-throw). The probability of success on each trial is p = 0.54, since you have a 54% chance of making each free-throw. The probability of failure (missing the free-throw) on each trial is q = 1 - p = 0.46.
The probability mass function (PMF) of a geometric distribution is given by:
P(Y = k) = q^(k-1) * p
where k is the number of trials required to achieve the first success.
In this case, we want to find the expected value of Y, which is defined as:
E[Y] = Σ(k=1 to ∞) k * P(Y = k)
We can simplify this expression using the PMF of the geometric distribution:
E[Y] = Σ(k=1 to ∞) k * q^(k-1) * p
This sum can be evaluated using the formula for the sum of an infinite geometric series:
E[Y] = 1/p
Substituting in the value of p = 0.54, we get:
E[Y] = 1/0.54 ≈ 1.85
This means that on average, you need to take about 2 shots to make one free-throw if you have a 54% free-throw shooting percentage.
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Complete question is:
If you are a 54 % free-throw shooter and the random variable y denotes the total number of shots in order to make one free-throw, then:
Calculate E[Y]
ill give brainiest for help lol
Answer:
[tex]\pi(r - a)(r + a)[/tex]
Step-by-step explanation:
Area of larger circle is
[tex]\pi {r}^{2} [/tex]
Area of smaller (yellow) circle is
[tex]\pi {a}^{2} [/tex]
So the area of the green region is
[tex]\pi {r}^{2} - \pi {a}^{2} [/tex]
[tex]\pi( {r}^{2} - {a}^{2} )[/tex]
[tex]\pi(r - a)(r + a)[/tex]
You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per
kilometer.
Write an inequality to determine the distance in kilometers, d, you can
ride for $20.
What is the maximum distance, in kilometers, you can ride for $20?
kilometers
Answer: Therefore, the maximum distance you can ride for $20 is 6 kilometers.
Step-by-step explanation: The inequality to determine the distance in kilometers, d, you can ride for $20 is:
$5 + $2.50d ≤ $20
Simplifying the above inequality, we get:
$2.50d ≤ $15
Dividing both sides by $2.50, we get:
d ≤ 6
calculate the percent yield of copper (ii) oxide. 4. explain why you obtained a yield different than g
To calculate the percent yield of copper (II) oxide, you need to have the actual yield and the theoretical yield. The percent yield can be calculated using the following formula: Percent Yield = (Actual Yield / Theoretical Yield) * 100
1. Obtain the actual yield: This is the amount of copper (II) oxide produced in your experiment or reaction, typically measured in grams.
2. Calculate the theoretical yield: Use the balanced chemical equation and the stoichiometry of the reaction to determine the maximum amount of copper (II) oxide that could be produced from the given reactants.
3. Plug the values into the formula: Divide the actual yield by the theoretical yield and multiply the result by 100 to get the percent yield.
If you obtained a yield different than the expected or theoretical yield, there could be several reasons, including experimental errors, impure reactants, or side reactions occurring during the process. These factors can cause the actual yield to be higher or lower than the theoretical yield.
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In a car park,
the number of cars: the number of vans = 7:4
the number of vans: the number of lorries = 3:2
The total number of cars, vans and lorries in the car park is 205
How many vans are in the car park?
Therefore , the solution of the given problem of unitary method comes out to be the parking lot has 60 trucks.
What is an unitary method?It is possible to accomplish the objective by using this widespread convenience, pre-existing variables, or all significant components from the initial Diocesan adaptable survey that adhered to a specific methodology. If it doesn't, both of the essential components of a term confirmation outcome will undoubtedly be lost, but if it is, there is going to be another opportunity to contact the entity.
Here,
Let's begin by giving the unknowns variables:
x = number of vehicles
Van count = 4 times
Since there are 205 cars overall, the number of lorries is equal to (205 - 11x).
The value of x can be determined using the second bit of knowledge:
=> 4x/3 = (205 - 11x)/2
When we simplify this solution, we obtain:
=> 8x = 3(205 - 11x)
=> 8x = 615 - 33x
=> 41x = 615
=> x = 15
We can now determine the quantity of vans:
Van count = 4x = 4(15) = 60
Consequently, the parking lot has 60 trucks.
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p(x) = 4x; Find p(-6)
p(x)= (x-4)²-(x-6)². ... 4X - 20 = 0 => X = 20/4 => X= 5.
Question content area top
Part 1
The granular fertilizer 12-12-12 is composed of 12% nitrogen, 12% phosphate, and 12% potassium. Similarly, the fertilizer 16-17-0 is composed of 16% nitrogen, 17% phosphate, and 0% potassium. If a gardener mixes a 10 pound bag of 12-12-12 with a 5 pound bag of 16-17-0, what are the concentrations of nitrogen, phosphate, and potassium in the mixture? Express the answers as percents
the concentrations of nitrogen, phosphate, and potassium in the mixture are 13.33%, 13.67%, and 8%, respectively. To find the concentrations of nitrogen, phosphate, and potassium in the mixture, we need to calculate the total amount of each nutrient in the two bags and then divide by the total weight of the mixture.
First, let's calculate the amount of each nutrient in the 10 pound bag of 12-12-12:
Nitrogen: 12% of 10 pounds = 1.2 pounds
Phosphate: 12% of 10 pounds = 1.2 pounds
Potassium: 12% of 10 pounds = 1.2 pounds
Next, let's calculate the amount of each nutrient in the 5 pound bag of 16-17-0:
Nitrogen: 16% of 5 pounds = 0.8 pounds
Phosphate: 17% of 5 pounds = 0.85 pounds
Potassium: 0% of 5 pounds = 0 pounds
Now, let's add up the total amount of each nutrient in the two bags:
Nitrogen: 1.2 + 0.8 = 2 pounds
Phosphate: 1.2 + 0.85 = 2.05 pounds
Potassium: 1.2 + 0 = 1.2 pounds
Finally, let's divide the total amount of each nutrient by the total weight of the mixture (10 + 5 = 15 pounds) and express the answers as percentages:
Nitrogen: (2 / 15) x 100% = 13.33%
Phosphate: (2.05 / 15) x 100% = 13.67%
Potassium: (1.2 / 15) x 100% = 8%
Therefore, the concentrations of nitrogen, phosphate, and potassium in the mixture are 13.33%, 13.67%, and 8%, respectively.
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(HELPHEKO PLS)
Milwaukee's average high temperature in the summer is four
degrees lower than other cities in its same latitude.
Which option best describes
the reason for that change?
O Sioux Falls is near mountains.
OMilwaukee is beside a lake.
Sioux Falls is closer to a desert.
O Milwaukee has more mountains.
OSioux falls is closer to a desert
The option that best describes the reason for the change in Milwaukee's average high temperature in the summer is:
"Milwaukee is beside a lake."
What does a high temperature that is typical mean?The normalised high or low temperature for at least a 30 year period is the average high or low temperature. As a result, a statistical average is a mean high or low. The statistical significance of an average high or low temperature depends on the length of the records, which must be at least 30 years.
One of the Great Lakes of North America, Lake Michigan, has Milwaukee situated on its western side. The lake's existence influences the climate in a moderating way, especially in the summer when it serves as a "cooling" agent. Milwaukee's July high average is consequently lower than that of comparable cities at the same latitude that are not situated close to significant bodies of water.
The other possibilities don't offer a convincing justification for the observed temperature difference. The temperature of cities at the same latitude would not necessarily change because of Sioux Falls' closeness to mountains or deserts because temperature is impacted by a number of factors, including latitude, elevation, ocean currents, prevailing winds, and more. Milwaukee also doesn't have any notable mountains nearby, and Sioux Falls isn't any closer to a desert than Milwaukee is.
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The median is greater than the mean, and the majority of the data points are to the left of the mean. the median is greater than the mean, and the majority of the data points are to the right of the mean. the mean is greater than the median, and the majority of the data points are to the left of the mean. the mean is greater than the median, and the majority of the data points are to the right of the mean.
The option that describes the probability distribution is option (A) The mean is greater than the median, and the majority of the data points are to the left of the mean.
To find the mean of the probability distribution, we can use the formula:
mean = Σ(xi × pi)
where xi is the value of the random variable and pi is the corresponding probability.
Using this formula, we get:
mean = (1 × 0.75) + (2 × 0.1) + (3 × 0.1) + (4 × 0.05) + (5 × 0)
= 0.75 + 0.2 + 0.15 + 0.2
= 1.3
To find the median, we need to arrange the values in increasing order of x and then find the middle value.
Arranging the values in increasing order of x, we get:
x = 1, 2, 3, 4, 5
p(x) = 0.75, 0.1, 0.1, 0.05, 0
The median is the middle value, which is 3 in this case.
Therefore, the mean is 1.3 and the median is 3.
Since the mean is greater than the median, we can eliminate options C and D.
To determine whether the majority of the data points are to the left or right of the mean, we can examine the shape of the distribution.
Since the probability of x=1 is much higher than the other values, the distribution is skewed to the left. This means that the majority of the data points are to the left of the mean.
Therefore, the correct option is (A) The mean is greater than the median, and the majority of the data points are to the left of the mean.
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The given question is incomplete, the complete question is:
Which of the following describes the probability distribution below?
A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
B.) The mean is greater than the median, and the majority of the data points are to the right of the mean.
C.) The median is greater than the mean, and the majority of the data points are to the left of the mean.
D.) The median is greater than the mean, and the majority of the data points are to the right of the mean.
help my math math math
Pr(total)=pr(blue)+pr(green)+pr(red)=4+1+2
=7
a) pr(blue)= pr(blue)/pr(total)=4/7
b) pr(green)= pr(green)/pr(total)=1/7
c) pr(not green)= pr(blue)+pr(red)= 4/7+2/7=6/7
d)pr(not purple)= ???
e)pr(red)=pr(red)/pr(total)=2/7
Question d seems like it is a problem cause we were not told that a purple ball was in the bag.
solve ABC subject to the given conditions if possible. Round the lengths of the sides and measures of the angles (in degrees) to one decimal place it necessary.
B=64 degrees, a=25, b=41
To solve triangle ABC, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and opposite angles A, B, and C, respectively:
c^2 = a^2 + b^2 - 2ab*cos(C)
We are given B, a, and b, so we can solve for c as follows:
c^2 = 25^2 + 41^2 - 2(25)(41)cos(64)
c^2 = 625 + 1681 - 2135cos(64)
c^2 = 1829 - 2135*cos(64)
c^2 = 311.90
Taking the square root of both sides, we get:
c ≈ 17.7
So the length of side c is approximately 17.7 units.
To find the measures of angles A and C, we can use the Law of Sines, which states that for any triangle with sides a, b, and c and opposite angles A, B, and C, respectively:
a/sin(A) = b/sin(B) = c/sin(C)
We know a, b, and c, and we just solved for c, so we can use the Law of Sines to solve for angles A and C:
a/sin(A) = c/sin(C)
sin(A) = asin(C)/c
A = sin^{-1}(asin(C)/c)
A = sin^{-1}(25*sin(C)/17.7)
Similarly,
b/sin(B) = c/sin(C)
sin(B) = bsin(C)/c
B = sin^{-1}(bsin(C)/c)
B = sin^{-1}(41*sin(C)/17.7)
To find angle C, we can use the fact that the sum of the angles in a triangle is 180 degrees:
C = 180 - A - B
Using a calculator, we get:
A ≈ 41.6 degrees
B ≈ 74.1 degrees
C ≈ 64.3 degrees
Therefore, the measures of the angles in triangle ABC are approximately:
A ≈ 41.6 degrees
B = 64 degrees
C ≈ 64.3 degrees
And the lengths of the sides are approximately:
a = 25
b = 41
c ≈ 17.7
using a single composite transformation matrix for k transformations of n points, what is the required number of multiplications?
The required number of multiplications using a single composite transformation matrix for k transformations of n points is n × k.
In computer graphics, composite transformation matrices are used to transform points and shapes. These matrices are created by combining multiple transformations into a single matrix, allowing for efficient processing of large amounts of data. The number of multiplications required to perform a composite transformation depends on the number of points being transformed and the number of transformations being applied.
If there are n points and k transformations, then the required number of multiplications is n × k.
This is because each point needs to be multiplied by the composite transformation matrix k times.
Therefore, the total number of multiplications is n × k.
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a) r = 29 cm, b) Angle AOC = 1.39 rad,
c) Shaded Region= 68 cm sq, d) Perimeter = 87.7 cm
a) r = 130 cm, b) Angle AOC = 12.9 rad,
c) Shaded Region= 675 cm sq, d) Perimeter = 867 cm
a) r = 30 cm, b) Angle AOC = 1.29 rad,
c) Shaded Region= 67.5 cm sq, d) Perimeter = 86.7 cm
ABC is the segment of a circle, centre O, radius
r. This segment is enclosed in a rectangle APQC.
Given that AC = 36 cm and AP = 6 cm,
Find
a) r
b) the angle AOC is radian
c) the area of the shaded region
a) r = 30 cm
b) The angle AOC is 0.523598775 radian
c) The area of the shaded region is 541.9 cm²
d) The perimeter of the shaded region is 106.8 cm.
What is area?The area of a circle is a measure of the size of the surface of the circle. It is calculated by multiplying the radius of the circle (the length from the center of the circle to its edge) by itself, and then multiplying the result by the constant pi (3.14). The formula for calculating the area of a circle is A = πr2, where “A” represents the area, “π” is pi, and “r” is the radius of the circle.
The radius of the circle, r, can be determined by the Pythagorean theorem. Since AC = 36 cm and AP = 6 cm, the hypotenuse of the right triangle formed by AC and AP is the radius of the circle, r. By applying the Pythagorean theorem, we get:
r² = 362 + 62
r² = 1296
r = √1296
r = 36 cm
b) The angle AOC is 0.523598775 radians
The angle AOC can be determined using the formula for arc length. The arc length of ABC is 36 cm and the radius of the circle is 30 cm. Therefore, the angle AOC is:
AOC = 36/30
AOC = 1.2 radians
c) The area of the shaded region is 541.9 cm²
The area of the shaded region can be determined using the formula for the area of a sector. The angle AOC is 1.2 radians and the radius of the circle is 30 cm. Therefore, the area of the shaded region is:
Area = (1.2)(30)(30)/2
Area = 541.9 cm²
d) The perimeter of the shaded region is 106.8 cm
The perimeter of the shaded region can be determined using the formula for the circumference of a circle. The radius of the circle is 30 cm. Therefore, the perimeter of the shaded region is:
Perimeter = 2π(30)
Perimeter = 106.8 cm
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An arithmetic series of A has first term a and common difference d.
The sum of Sn of the first n termof A is given by Sn=(15+2n)
(a) Find the value of a and d
(b) Find the 20th term of A
Given that S2p - 2Sp = 1 + S(p-1)
(c) find the value of p
PLS HELP ME THIS IS REALLY ESSENTIAL FOR MY SCORE.
Answer:
(a) To find the value of a and d, we use the formula for the sum of first n terms of the arithmetic series A which is given by:Sn = n/2[2a + (n-1)d]We are also given that Sn = 15 + 2n. So we can equate these two expressions to get:15 + 2n = n/2[2a + (n-1)d]Multiplying both sides by 2 and simplifying, we get:30 + 4n = n[2a + (n-1)d]Expanding the brackets and simplifying, we get:2an + nd - d + 30 = 2n^2Rearranging terms, we get:2a = 2n^2 - nd + d - 30Now we also know that the first term of the series A is a. So we can substitute this value of a in the formula above to get:a = (2n^2 - nd + d - 30)/2Simplifying, we get:a = n^2 - (n-1)d - 15Therefore, we have found the values of a and d in terms of n. (b) To find the 20th term of A, we use the formula for the nth term of an arithmetic series which is given by:an = a + (n-1)dSubstituting the value of a and d that we found in part (a) we get:a20 = (20^2 - 19d - 15) + 19dSimplifying, we get:a20 = 391 - dTherefore, the 20th term of A is given by a20 = 391 - d.(c) Given that S2p - 2Sp = 1 + S(p-1), we can use the formula for the sum of first n terms of an arithmetic series which we used in part (a) to get:2p/2[2a + (2p-1)d] - 2p/2[2a + (p-1)d] = 1 + p/2[2a + (p-2)d]Simplifying, we get:2apd = d(p^2 - 3p + 2)Dividing both sides by d and simplifying, we get:2ap = p^2 - 3p + 2Rearranging terms, we get:p^2 - 3p + (2-2ap) = 0This is a quadratic equation with coefficients a=1, b=-3, and c=2-2ap. We can use the quadratic formula to solve for p:p = [3 ± sqrt(9 - 4(1)(2-2ap))]/2Simplifying, we get:p = [3 ± sqrt(4ap + 1)]/2Therefore, we have found the value of p in terms of a.
What is the mode of this data set?
The line graph is titled Amount of Rainfall. The Y axis is labeled inches. The X axis is labeled weeks. Week 1 has a dot at 2 inches. Week 2 has a dot at 3 inches. Week 3 has a dot at 1 inch. Week 4 has a dot at 3 inches. Week 5 has a dot at 5 inches. Week 6 has a dot at 4 inches. The dots are connected one to the next by a line to show a change in the amount of rainfall.
2
3
4
There is no mode.
The mode of this data set is 3 inches.
In the given data set, the values of rainfall in inches for each week are as follows:
Week 1: 2 inches
Week 2: 3 inches
Week 3: 1 inch
Week 4: 3 inches
Week 5: 5 inches
Week 6: 4 inches
The mode is the value that appears most frequently, which in this case is 3 inches. Therefore, the mode of this data set is 3 inches.
Note that a data set can have more than one mode if there are two or more values that appear with the same frequency and are more frequent than any other value in the data set.
However, in this data set, there is only one mode, which is 3 inches.
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need help to this what would the variance be?
The variance of the set of data is 10. Option A
What is variance?Variance can be defined as a statistical measurement of the spread of numbers in a data set.
It is used to measure how far each number in the set is distant from the mean and from every other number in the set.
It is sometimes described as the measure of variability.
It is denoted with the mathematical symbol,'σ²'
The formula for calculating the variance of a set of data is;
Variance = ∑(x-x⁻)²/n - 1
Substitute the values, we have;
Variance = 16 + 4 + 4 + 16 + 0/5 - 1
Add the values
Variance = 40/4
Divide the values
Variance = 10
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a population has a mean of 50 and a standard deviation of 10. if a random sample of 64 is taken, what is the probability that the sample mean is greater than 52?
The probability that the sample mean is greater than 52 is 5.5%.
Given population mean (μ) = 50 and standard deviation (σ) = 10Sample size (n) = 64 Sample mean (X-bar) = 52The formula for finding the probability of a sample mean is greater than a given value is:
P ( X-bar > 52 ) = P ( z > (52-50) / (10/√64) ) = P ( z > 1.6 )The formula for finding the probability of z-score is:
P ( z > 1.6 ) = 1 - P ( z < 1.6 )Now, we need to find the value of P ( z < 1.6 ) from the standard normal distribution table.P ( z < 1.6 ) = 0.9452 (approx)Now, substitute this value in the above equation, we get:
P ( z > 1.6 ) = 1 - 0.9452 = 0.0548 .Therefore, the probability that the sample mean is greater than 52 is 0.0548 or approximately 5.5%.
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A baker me two batches of cookies the first batch contain 36 cookies in the second batch contain 48 cookies bakery divide the cookies into seven equal groups with non-leftover Right numerical expression using parentheses that show how to determine the total number of cookies the baker we should put into each
The total number of biscuits the baker should place into each, according to the declaration, is 12.
What does an arithmetic expression mean?The mathematical expressions consist of at least a couple of integers or issues, no fewer than one math procedure, and a sentence. It's achievable to multiply, divide, add, or remove with this algebraic method. An expression's form is as follows: Expression: (Math Operator, Number/Variable, Arithmetic Operator)
The total number of cookies in both batches is:
36 + 48 = 84
To divide the cookies into seven equal groups, we need to divide the total number of cookies by 7:
84 / 7 = (12 x 7) / 7 = 12
So the baker should put 12 cookies into each of the seven groups.
A numerical expression that shows how to determine the total number of cookies the baker should put into each group with parentheses is:
(36 + 48) / 7 = (84) / 7 = 12
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Question 5(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.
Question 6(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There are two dots above 1, 2, 3, 5, and 6. There are four dots above 7.
Which measure of center is most appropriate to represent the data in the graph, and why?
The median is the best measure of center because there are no outliers present.
The median is the best measure of center because there are outliers present.
The mean is the best measure of center because there are no outliers present.
The mean is the best measure of center because there are outliers present.
Therefore, the correct answer is: The range is the best measure of variability, and it equals 78.
What is range?Range is a measure of variability that represents the difference between the maximum and minimum values in a dataset. It gives an indication of how spread out the data is. To find the range of a dataset, you simply subtract the minimum value from the maximum value. Range is often used as a quick and simple measure of variability, but it can be sensitive to outliers and extreme values.
Here,
1. For question 5, the appropriate measure of variability for the given data set is the range, which is the difference between the maximum value and the minimum value in the data set.
To find the maximum and minimum values from the given stem-and-leaf plot, we can look at the highest and lowest digits in each row. The highest value is 83 and the lowest value is 5, so the range is:
Range = 83 - 5 = 78
2. For question 6, the appropriate measure of center to represent the data in the given line plot is the median, because the data is skewed to the right and there are outliers present. The median is less sensitive to outliers than the mean.
Therefore, the correct answer is: The median is the best measure of center because there are outliers present.
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state the meaning of the central limit theorem in your own words. how important is it to the development and use of statistical quality control techniques?
The central limit theorem is a statistical theory that specifies the probability distribution of a sum or average of several random variables whose distribution is not known.
It is an important theorem since it is utilized to help forecast or estimate the behavior of a specific set of data.
This theorem holds that when you take repeated samples of the same size from a population with a finite standard deviation, the means of those samples will be normally distributed, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
Further more, the theorem indicates that the larger the sample size, the more closely the sample mean distribution will approximate a normal distribution.
This is why it is vital in the development and use of statistical quality control techniques, since they rely on correct assumptions about the population’s normality.
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HELP** complete the problem by creating two binomials that represent that sides of the shape . Then multiply to get a quadratic equation . Draw a picture to help set up the problem . 6. Albert installs swimming pools . While the pools can come in different sizes, Albert only offers rectangular pools that are always twice as wide as they are long. He also puts a deck around the entire pool, and the deck is always 4ft wide on each side. Write an equation to represent the total area of the pool and deck.
Let's denote the width and length of the pool by “w” and “l” respectively. Then, the width of the pool and deck combined would be:So the equation that represents the total area of the pool and deck as binomials is [tex]: A = 2(L + 8)(2L + 8)[/tex]
What binomials that represent that sides of the shape?Let's start by drawing a diagram of the rectangular pool and the surrounding deck:
___________ Pool Length (L)
| |
| |
| |
| |
W|___________|
| Deck Width|
| = 4ft |
|___________|
We know that the width of the pool (W) is twice its length (L), so we can write:
[tex]W = 2L[/tex]
We also know that the deck is 4ft wide on each side, so the total width of the pool and deck is:
[tex]W_total = W + 8 = 2L + 8[/tex]
And the total length of the pool and deck is:
[tex]L_total = L + 8[/tex]
The total area of the pool and deck can be found by multiplying the total width by the total length:
[tex]A = W_total \times L_total[/tex]
Substituting our expressions for W_total and L_total, we get:
[tex]A = (2L + 8) * (L + 8)[/tex]
Expanding the brackets, we get:
[tex]A = 2L^2 + 24L + 64[/tex]
So the equation that represents the total area of the pool and deck is:
2L^2 + 24L + 64
To represent the sides of the shape as binomials, we can factor out a common factor of 2 from the quadratic expression:
[tex]A = 2(L^2 + 12L + 32)[/tex]
Then we can write the sides of the shape as:
[tex]L + 8[/tex] and [tex]2L + 8[/tex]
Therefore, So the equation that represents the total area of the pool and deck as binomials is: [tex]A = 2(L + 8)(2L + 8)[/tex]
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In circle S with m/RST = 56 and RS = 19 units, find the length of arc RT.
Round to the nearest hundredth.
R
S
In circle S with m∠RST= 56 and RS = 19 units, the length of arc RT ≈ 8.87 units (rounded to two decimal places).
Describe Arc of Circle?An arc of a circle is a portion of the circumference of the circle. It is defined by two endpoints and the collection of all points on the circle's circumference that lie between these endpoints. The length of an arc is proportional to the measure of its corresponding central angle. The formula to find the length of an arc of a circle is L = (m/360) x 2πr, where L is the length of the arc, m is the measure of the central angle, and r is the radius of the circle. The symbol for an arc is a segment of the circle with a curved line over it.
We know that in a circle with radius r, the measure of the arc of a central angle with measure θ degrees is (θ/360) × 2πr units.
In circle S with center S, we are given that RS = ST = r (say) and m∠RST = 56 degrees. So, the measure of minor arc RT is also 56 degrees.
Therefore, the length of arc RT = (56/360) × 2πr = (7/45) × 2πr.
We are also given that RS = 19 units. Since RS = ST = r, we have r = 19 units.
Substituting this value of r, we get:
Length of arc RT = (7/45) × 2πr = (7/45) × 2π(19) ≈ 8.87 units (rounded to two decimal places).
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Answer:
RT= 18.57
Step-by-step explanation:
TRUST THE PROCESS
please help me solve this i’ll mark brainliest
Answer:
measure of angle MPQ is 125
Step-by-step explanation:
1) Corresponding angles are congruent
5x=3x+50
2x=50
x=25
2) Substitute back into the equation
3(25)+50 = 125
Combine like terms: -4x - 2 - 6x + 8 =
*
Answer: 21
Step-by-step explanation:because 21 savage is #1
iii) iv) 1 km 200 m - 500 m = 876 m + 1 km 500 m = v) 2 km 50 m - 950 m =I want answers my questions
The solution to the conversion of units are:
iii) 1 km 200 m - 500 m = 700 m
iv) 876 m + 1 km 500 m = 2km 376 m
v) 2 km 50 m - 950 m = 1 km 100 m
How to carry out conversion of units?iii) We want to solve:
1 km 200 m - 500 m
From conversion factors, we know that:
1 km = 1000 m
Thus:
1 km 200 m = 1000m + 200 m = 1200 m
Thus:
1 km 200 m - 500 m = 1200 m - 500 m
= 700 m
iv) We want to solve:
876 m + 1 km 500 m
From conversion factors, we know that:
1 km = 1000 m
Thus:
876m = 0.876 km
1 km 500 m = 1.5 km
Thus:
876 m + 1 km 500 m = 0.876 km + 1.5 km
= 2.376 km or 2km 376 m
v) We want to solve:
2 km 50 m - 950 m
From conversion factors, we know that:
1 km = 1000 m
Thus:
2 km 50 m = 2.05 km
950m = 0.95 km
Thus:
2 km 50 m - 950 m = 2.05 km - 0.95 km
= 1.1 km or 1 km 100 m
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the current in a certain river is known to be 2 kph. at full throttle, a boat makes a 4 km trip in this river (2 km upstream and 2 km downstream)in a total of 11 minutes. at full throttle, what is the speed of the boat in still water?
The speed of the boat in still water is 5 km/h.
Let's denote the speed of the boat in still water as "v" (in km/h). Since the boat travels 2 km upstream and 2 km downstream, we know that the total distance traveled is 4 km.
Let's first calculate the time taken to travel 2 km upstream. We know that the current is flowing at 2 km/h, so the effective speed of the boat relative to the river is (v - 2) km/h (since it is going against the current). Therefore, the time taken to travel 2 km upstream is
time taken = distance / speed = 2 / (v - 2) hours
Similarly, the time taken to travel 2 km downstream is
time taken = distance / speed = 2 / (v + 2) hours
The total time taken for the round trip (2 km upstream and 2 km downstream) is given as 11 minutes, which is equivalent to (11/60) hours. Therefore, we can write
2 / (v - 2) + 2 / (v + 2) = 11/60
Multiplying both sides by (v - 2)(v + 2) gives
2(v + 2) + 2(v - 2) = (v - 2)(v + 2)(11/60)
Simplifying the right-hand side gives
(v - 2)(v + 2)(11/60) = (11/3)v^2 - 44/3
Substituting this expression into the previous equation and simplifying gives
22v = (11/3)v^2 - 44/3
Multiplying both sides by 3 gives
66v = 11v^2 - 44
Rearranging and solving for v using the quadratic formula gives
v = (11 ± √(11^2 + 4×44))/22
Taking the positive solution (since v must be positive) gives
v = 5 km/h
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a company conducted a marketing survey for families with young children and found that 113 113 families own a nintendo ds and 192 192 families own a nintendo wii. if 22 22 own a wii and a ds, how many own either a wii or ds, but not both?
out of the families that have DS, 20 have both, so subtract them from the absolute to get 124 - 20 = 104.
out of the families that have WII, 20 have both, so subtract them from the all-out to get 186 - 20 = 166.
you presently have 3 classifications that are unadulterated.
104 own DS in particular.
266 own WII in particular.
20 own both.
the complete that possesses either a DS or a WII however not both is equivalent to 104 + 266 = 370.
you need to subtract 20 from every classification since it is remembered for both.
it is remembered for DS and it is remembered for WII.
Market surveys are apparatuses to straightforwardly gather criticism from the interest group to grasp their qualities, assumptions, and prerequisites. Marketers foster previously unheard-of techniques for impending items/benefits however there can be no affirmation about the outcome of these methodologies.
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the complete question is:
A company conducted a marketing survey for families with young children and found that 124 families own a Nintendo DS and 186 families own a Nintendo Wii. If 20 own a Wii and a DS, how many own either a Wii or DS, but not both?