31 Americans should be surveyed by Z mean.
What does critical value of Z mean?
The Z-score will show you how far a specific data point is from your sample's mean. This kind of critical value will inform you of the amount of standard deviations above or below the population mean for your sample.If the prior population proportion is unavailable then the formula to find the sample size is given by
n = 0.25[tex](\frac{z^{*} }{E} )^{2}[/tex]
where z* = Critical z-value
E = margin of error
Given, Confidence level = 98%
The critical z-value for 98% confidence interval is 2.326 ( BY z-table)
Margin of error : E= 0.21
n = 0.25 [tex](\frac{2.326}{0.21})^{2}[/tex]
n = 0.25 * ( 11 .07)²
n = 0.25 * 122.5449
n = 30.363225 ≈ 31
Hence, 31 Americans should be surveyed.
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find the slope of each line
Answer:
A. 5/3
Step-by-step explanation:
The line is in a positive trend we can see it because when we read it from left to write we can see it go up. The point where we start is 5 levels down from the second point 3 units to the left.
We can model this using rise/run
Rise = 5
Run = 3
5/3
a department store chain is expanding into a new market, and is considering 24 different sites on which to locate 6 stores. assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected? a) 144 b) 96,909,120 c) 168 d) 134,596 e) 30 f) none of the above.
Option b. 96,909,120 is the correct answer. The number of ways in which the new site can be chosen to locate 6 stores in 96,909,120 ways
We can find the number of ways by multiplying the number of possibilities each store can have.
Store 1, can be placed on 24 sites. Store 2 can be placed on 23 sites (since store 1 is already on site 1). Store 3 can be placed on 22 sites. Store 4 can be placed on 21 sites. Store 5 can be placed on 20 sites. Store 6 can be placed on 19 sites
Therefore the number of ways is:
C = 24 * 23 * 22 * 21 * 20 * 19
C = 9,69,09,120 possibilities
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what are the coefficients in 4x + 8y - 5
Answer:
Step-by-step explanation:
A coefficient is a number before the variable that shows how many groups of the variable there are. For example, 2b would be two groups of B.
The coefficients in this expression would be 4 (as in 4x) and 8 (as in 8y).
How can the dimensions of algebra tile rectangles and area models be used to represent expressions and multiplication?
The dimensions of algebra tile rectangles and area models can be used to represent expressions and multiplication by measuring the length and breadth of the tiles and multiplying them.
What is a Rectangle?This is referred to as a quadrilateral which has four right angles and the area is calculated by multiplying the length with the breadth.
In as situation where the algebra tile rectangles is used , it is best to first measure the length and the breadth after which they are then multiplied to give the appropriate answer. For example if the length is 8cm and the breadth is 5cm then the area will be 8cm × 5cm = 40cm²
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the ph measurements of water specimens from various locations along a given river basin are normally distributed with mean 8 and standard deviation 0.3. what is the approximate probability that the ph measurement of a randomly selected water specimen is greater than 8.2? 0.7475 0.2525 0.7525 0.2475
0.7475 is the approximate probability that the ph measurement of a randomly selected water specimen is greater than 8.2
P( A ≥ 8.2) = P( (Z ≥ 8.2 − 8)/0.3)
= P(Z ≥0.66)
= 0.7475
normsdist(0.666666) =0.7475
The standard normal cumulative distribution function is returned. The mean of the distribution is 0 (zero), while the standard deviation is one. Instead of a table of standard normal curve areas, use this function.The concentration of hydronium (H3O+) ions in an aqueous solution is measured by pH. It is measured from 0 to 14 on a negative logarithmic scale.
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An astronaut has an annual income of $161,141.00.
The income tax an astronaut must pay is 8%.
What is the amount of income tax in dollars and cents that the
astronaut must pay?
Which ordered pair gives a solution of the system of equations represented in
the graph below?
A. (-1.5, 2.5)
B. (-2.5, 1.5)
C. (2.5, -1.5)
D. (2.5,1.5)
Answer: The correct answer is D. (2.5,1.5)
Step-by-step explanation:
As noted in the graph, the lines intersect at the location where x=2.5 and y=1.5 in Quadrant I (both positive).
PLEASE HELP ASAP express
Answer: 5+3*3(3)-2= 30
Step-by-step explanation: Replacing x with 2 and using PEMDAS
yesterday, Austin burned 199 calories while exercising. Today, he burned 1008.8 calories. How many more calories did Austin burn today than yesterday?
Answer: Austin burn 809.8 more calories today than yesterday.
10. A life insurance company found that
among its last 200 claims, there were six
dozen smokers. What is the ratio of smokers
to nonsmokers in this group of claimants?
Write in lowest terms.
for homework .
what is the mean of 10,4,2,4
Answer:
5
Step-by-step explanation:
10+4+2+4=20
20/4=5
The mean is five.
Answer:
Mean = 5
Step-by-step explanation:
Mean = ( Sum of Data Points ) / ( Number of Data Points )
Sum of Data Points = 10 + 4 + 2 + 4 = 20
Number of Data Points = 4
Mean = 20 / 4 = 5
Glad to Help
Weekly
wages at a certain factory
are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
[ ? ]%
The probability that a worker selected at random makes between $350 and $400 = 0.34134
What is a z score formula?
The standard score represents how far a raw score deviates from or exceeds the mean of the phenomenon being observed or measured. Positive standard scores are assigned to raw scores that are greater than the mean, while negative standard scores are assigned to raw scores that are less than the mean.
By using the z score formula:
z = (x - μ) / σ
Where,
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
Consider, x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 = 0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
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help meeeeeeeeeeeeeee pleaseee
Answer:
You have to place the numbers given or your left in the formula given. So for example: y= 2*(-2)^2
that's: y=2*4, so: y=8
1) y=8
2) y= 2*(-1)^2. y=2
3) y= 2*(0)^2. y=0
4) y= 2*(1)^2. y=2
5) y= 2*(2)^2. y=8
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Equation of the line for the given graph in slope-intercept form is given by y = 5x -1.
As given in the question,
From the given graph,
Consider pair of two coordinates we have,
(x₁ , y₁) = (1, 4)
(x₂ , y₂) = (0,-1)
Equation of the line for the given graph in slope-intercept form is given by:
(y -y₁) / (x -x₁)= (y₂ -y₁) / (x₂ -x₁)
⇒ ( y - 4)/ (x -1) = (-1-4)/(0-1)
⇒(y-4)/(x-1) = 5
⇒y-4 = 5(x-1)
⇒y = 5x -5 +4
⇒ y= 5x -1
Therefore, equation of the line for the given graph in slope-intercept form is given by y = 5x -1.
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Question 5 (5 points)
Find the equation of the line passing through the point (-1, 5) and perpendicular to
the line y=-3x+4.
A) 3y=-x+16
B) 3y=x+16
OC) y=-3x+8
D) y=-3x+2
OLD
Answer:
Option B is perpendicular to y=-3x+4 and goes through point (-1,5)
Step-by-step explanation:
We will look for an equation of the form y=mx+b, where m is the slope and b the y-intercept. The reference line, y=-3x+4, has a slope of -3. A line perpendicular to this line will have a slope that is the "negative inverse" of the refence lines slope. In this case, it's slope would be +(1/3).
We could graph each of the equation options and look for one that is perpendicular, but it might be faster to simply rearrnaged the options into standard format of y=mx+b. which we'll do here:
Option Rearranged Equation Slope
A) 3y=-x+16
y = -(1/3)x+(16/3) -(1/3)
B) 3y=x+16
y = (1/3)x + (16/3) (1/3)
C) y=-3x+8 -3
D) y=-3x+2 -3
There is only one option that has the required slope to be parallel to the reference equation (y=-3x+4), option B: y = (1/3)x + (16/3)
Does it go through point (-1,5)?
y = (1/3)x + (16/3)
Enter x = -1 and find 5:
y = (1/3)(-1) + (16/3)
y = (16/3)-(1/3)
y = (15/3) or 5
Yes, it goes through point (-1,5)
Option B is perpendicular to y=-3x+4 and goes through point (-1,5).
At the local petting zoo, 65% of the goats are female. A researcher selects a sample of five and the goats and notes that three are female. What are p nd p^(p-hat) for female goats?
The values of p and ρˆ (p-hat) in the sample are
p = 0.65 and ρˆ (p-hat) = 0.4
How to determine the values of p and ρˆ (p-hat)?From the question, we have the following parameters that can be used in our computation:
Proportion of female goats = 65%
Sample = 5
Female = 3
The proportion of female represents the variable p
So, we have
p = Proportion of female = 65%
This gives
p = 65%
Express as decimal
p = 0.65
The variable ρˆ (p-hat) is then calculated as
ρˆ = x/n
In this case,
x = Female = 2
n = Male + Female = 2 + 3 = 5
So, we have
ρˆ = 2/5
Evaluate
ρˆ = 0.4
Hence, the values are 0.48 and 0.44, respectively
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Write your answers hhere
Answer:
Step-by-step explanation:
The answer is 6.
I got this by subtracting 23 by 12 (the number of numbers shown). Then I got 11. So I followed the pattern until I got six.
23-12=11
2,4,6,8,2,4,6,8,2,4,6,8,......2,4,6,8,2,4,6,8,2,4,6
Christian buys 18 bottles of grapefruit juice at the corner store for a total cost of $15.66. If each bottle costs the same amount, how much is 3 bottles of juice?
Answer:$2.61
Step-by-step explanation:
18=$15.66
÷6 ÷6
3=$2.61
The cost of 3 bottles of juice based on the given ratio will be $2.61.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
18 bottles cost = $15.66
1 bottle cost = $15.66/18 = $0.87/ bottle
For 3 bottles = 3 × $0.87 = $2.61
Hence "The cost of 3 bottles of juice based on the given ratio will be $2.61".
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six thousand seven hundred and fifty (6750) people who were free of disease x were enrolled in a cohort study in 1985 and followed with annual exams and interviews through 1995. exposure to factor a was determined at study enrollment and the participants were followed until 1995 to observe new cases of disease x. data from the study at the end of follow-up are shown in the table (below). what is the incidence rate of disease x among persons exposed to factor a?
Option A is the correct choice (0.04)
The incidence rate of disease x among persons exposed to factor a is 0.04
The frequency of a particular incident over a predetermined time period is measured by the incidence rate or incidence. In the corporate world, sampling, surveys, and product testing can all be used to calculate an incidence rate.
Because 120 divided by the total number of exposed people yields the occurrence rate for disease X among those who have been exposed.
The incidence rate would be 4 per 100 people if multiplied by 100, however, this statistic is not specifically specified.
Therefore, those who were exposed to factor a had an incidence risk of disease x of 0.04
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COMPLETE QUESTION:
6,750 people who were free of disease X were enrolled in a cohort study in 1985 and followed by annual exams and interviews through 1995. Exposure to factor A was determined at study enrollment and the participants were followed until 1995 to observe new cases of disease X. Data from the study at the end of the follow-up are shown in the following table. What is the incidence rate of disease X among persons exposed to factor A? Exposure to Factor A People with Disease X People without Disease X Not Exposed 30 3,720 Exposed 120 2,880
Select one:
a. 0.04
b. 0.19
c. 0.25
d. 4.00
e. 5.17
wade is skiing on a circular ski trail that has a radius of 0.8 km. wade starts at the 3-o'clock position and travels 2.3 km in the counter-clockwise direction. how many radians does wade sweep out? 2.875 correct radians when wade stops skiing, how many km is wade to the right of the center of the ski trail? .7717 incorrect km when wade stops skiing, how many km is wade above of the center of the ski trail?
The solutions are,
The radians wade sweep out is 2.875 radians.
When wade stops skiing, he is 0.799km to the right of the center of the ski trail.
When wade stops skiing, he is 0.003km above the center of the ski trail.
Given that;
Wade is traveling along a 0.8 km-radius circular ski trail. Wade moves 2.3 kilometers counterclockwise starting at the three o'clock position.
Radius (r) = 0.8km
Distance (s) = 2.3km
Here, we need to find three cases, they are;
Case(I): how many radians does wade sweep out;
The relation between radians and radius is given by,
s = rθ
2.3 = 0.8*θ
θ = 2.3/0.8
θ = 2.875
The radians wade sweep out is 2.875 radians.
Case (II): when wade stops skiing, how many km is wade to the right of the center of the ski trail;
Let, Ф = π - 2.875
Ф = 0.266 radians
Then, x = r*cosФ
x = 0.8*cos(0.266)
x = 0.799
When wade stops skiing, he is 0.799km to the right of the center of the ski trail.
Case (III): when wade stops skiing, how many km is wade above the center of the ski trail;
Let, y = r*sinФ
y = 0.8*sin(0.266)
y = 0.003
When wade stops skiing, he is 0.003km above the center of the ski trail.
Therefore, the required solutions are;
The radians wade sweep out is 2.875 radians.
When wade stops skiing, he is 0.799km to the right of the center of the ski trail.
When wade stops skiing, he is 0.003km above the center of the ski trail.
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Which equation has the solution x = 9? Select each correct answer 0 +7=8 24-2x = 13 | | 4 + 5x = 18 0¹²-3=6 02x-3 = 15 3x + 2 = 25
HELP PLS!
For x to be a solution, there must be the quantity x in the equation.
All the equations that contain x are :
+) 24 - 2x = 13
+) 4 + 5x = 18
+) 2x - 3 = 15
+) 3x + 2 = 25
We will solve for the value of x for each of the equation :
+) 24 - 2x = 13
-> 2x = 24 - 13 = 11
-> x = 11/2 = 5.5
+) 4 + 5x = 18
-> 5x = 18 - 4 = 14
-> x = 14/5 = 2.8
+) 2x - 3 = 15
-> 2x = 15 + 3 = 18
-> x = 18/2 = 9
+) 3x + 2 = 25
-> 3x = 25 - 2 = 23
-> x = 23/3.
We can see, only the equation 2x-3 = 15 has x=9 as a solution.
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second number? Justify your reasoning
.
Answer:
40
Step-by-step explanation:
Looking at the other examples, its shows the the second number is always 4 times bigger/ahead then/of the first number.
The length of the base of an isosceles triangle is x. The length of a leg is 4x-3. The perimeter of the triangle is 129 Find x.
The value of x in the given isosceles triangle is x = 15
Perimeter of an isosceles triangle: Calculating the value of xFrom the question, we are to determine the value of x.
From the given information,
The length of the base of the isosceles triangle is x
Also,
The length of a leg is 4x - 3
Since, the length of the legs of an isosceles triangle are equal,
Then,
The length of the other leg is 4x - 3
Also, form the given information,
The perimeter of the triangle is 129
Thus,
x + 4x - 3 + 4x - 3 = 129
Now, solve for x
x + 4x - 3 + 4x - 3 = 129
Collect like terms
x + 4x + 4x = 129 + 3 + 3
9x = 135
Divide both sides by 9
9x/9 = 135/9
x = 15
Hence, the value of x is 15
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The approximate average distances from the sun to Mars and Mercury are listed below:
Mars: 2.28\times 10^{8}2.28×10
8
kilometers
Mercury: 5.79\times 10^{7}5.79×10
7
kilometers
How much farther from the sun is Mars? Express your answer using scientific notation?
The distance from the Sun to Mars is 3. 9 times farther
What is ratio?Ratio can be described as a mathematical comparison between two or more numbers or elements in relation to each other on the basis of their sizes or magnitudes.
It is however known to show how many times one number or elements contains another.
Based on the information given, we have;
Distance from the Sun to Mars = 2.28×10^8Distance from the Sun to Mercury = 5.79×10^7To determine the ratio of their distances from the Sun, we have;
Distance from the Sun to Mars /Distance from the Sun to Mercury
Substitute the values
2.28×10^8/5.79×10^7
Divide through
3. 9 times
Hence, the distance is 3. 9 times farther.
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III. Write each quadratic equation in standard form
1. 3x-2x² = 7
2.5-2x² = 6x
3.(x+3)(x+4)=0
4.(2x + 7)(x-1)=0
5,2x(x-3) = 15
ax²+bx+c=0
Answers are attached
how do I solve this?
Answer:
7
Step-by-step explanation: -13(-1) + 36 + 42(-1)
Step 1: -13(-1)= 13
Step 2: 13 + 36= 49
Step 3: 49 + 42(-1)= 49 + (-42)= 7
Solution: 7
Juan has a piano recital next month. Last week he practiced for 4 hours in the morning and 9 hours in the afternoon. A full practice session is 2 hours long. How many full practice sessions does Juan complete?
Jeanne has 3 7/8 yards of fabric. The table shows the amount of fabric she needs for different items. How many pairs of shorts can she make?
Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric.
What do you mean by ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
The total amount of fabric = 3 7/8 yards = 31/8 yards.
Amount of fabric needed to make 1 pair of shorts = 1 1/4 = 5/4 yards.
The number of shorts that can be made = 31/8 ÷ 5/4
⇒ 3.1 so it will be 3 because no relevance of decimal shorts.
Hence "Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric".
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1/7*5/3 um i need help plese i only have 1 secont
The product of the fractions 1/7*5/3 is 5/21.
The product of the fractions= product of the numerator/product of the denominator.
The numerical numbers that make up a fraction of the whole are called fractions. A whole can be a single item or a collection of items. When anything or a number is divided into equal parts, each piece represents a portion of the total. A fraction is represented as a/b, where a and b are the numerator and denominator, respectively.
We multiply the 1 and 5, the numerators and 7 and 3 the denominators.
Therefore the product of the fractions is 5/21.
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Answer:
5/21
Step-by-step explanation:
Given problem,
→ (1/7) × (5/3)
Let's solve the problem,
→ (1/7) × (5/3)
→ (1 × 5)/(7 × 3)
→ 5/21
Thus, the answer is 5/21.
Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the following expression, where c represents the original cost of the coffee pot.
c−0.2c
Which other expression could Kelly use to calculate her cost before sales tax?
Answer:
0.2c-c
Step-by-step explanation: