Answer:
3
Step-by-step explanation:
4. A park charges $8 for adults and $4 for kids. How many of each type of ticket was sold if a total of 325 tickets were sold for a total of $1812?
Answer:
1300 and 750
Step-by-step explanation:
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imma lose all my points but someone PLS HELP ME OUT WITH THIS I really need it done ASAP PLS
increase the amount of the ingredients by 5 and by 20
If increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.
Given that, Ingredients: 2 teaspoons Worcestershire sauce
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Converted to Metric measurements : 10.35 g
Increased by 5 = 10.35 × 5
= 51.75 grams
Increased by 20 = 10.35 × 20
= 207 grams
Therefore, if increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.
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14. the mean price of a pound of ground beef in 75 cities in the midwest is $2.11 and the standard deviation is $0.56. suppose the histogram of the data shows that the distribution is unimodal and symmetrical. a local grocer is selling a pound of ground beef for $3.50. what is this price in standard units? assuming the empirical rule applies, would this price be unusual or not? round to the nearest hundredth.
For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.
A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.
The standard score (z) is given by:
z = (x - µ)/σ where µ is the mean and σ is the standard deviation.
To determine the value of z for $3.50 price:
z = (3.5 – 2.11)/0.56 = 2.482
From the z-table, the probability of z ≥ 2.282
P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%
Hence, the price of $ 3.50 is unusually high.
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the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that thesum of the four numbers on each face is the same. what is this common sum?
The common sum is 18 as "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same".
What is sum?A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. The outcome or conclusion we arrive at when we add two or more numbers is known as the SUM. Addends are the numbers that are added.
Here,
The sum of the numbers on one face of the cube is equal to the sum of the numbers on the opposite face of the cube; these 8 numbers represent all of the vertices of the cube.
=(1+2+3+4+5+6+7+8)/2
=18
Since "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same," the common sum is 18.
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a popular resort hotel has 300 rooms and is usually fully booked. about 6% of the time a reservation is cancelled before the 6:00 p.m. deadline with no penalty. what is the probability that at least 275 rooms will be occupied? use the binomial distribution to find the exact value. a. 0.01 b. 0.96 c. 0.93 d. 0.85
When binomial distribution is used, the probability that at least 275 rooms are occupied is 0.96
Option b. is correct
We have the following parameters:
sample, n=300
proportions of rooms reserved, p=6%
We first get the sample mean,
Sample mean=n*p
=300*6%
=18
Now, we get population mean according to binomial distribution, μ'
μ=n-sample mean
=300-18
=282
We get the standard deviation, σ
σ=(sample mean*(1-p))^1/2
=(18*(1-6%))^1/2
=4.11
We now, calculate z-score:
z=(x-μ)/σ, given x should be at least 275
z=(275-282)/4.11
=-1.703
Now, we have p(x>275)=p(z>-1.703)
From z-score of probabilities, we have p(z>-1.703) as 0.95572
So, p(x>275)=0.95572
=0.96
Hence, the probability that at least 275 rooms are occupied is 0.96
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Find the slope of the line that passes through the pair of points (8, −2), (1, 1)
The slope of the line that passes through the given pair of points is, -3/7.
What is slope of the line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.
Given: (8, -2), (1, 1)
Since, if two points [tex](x_1, y_1), (x_2, y_2)[/tex] are given then slope (m) is defined as,
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex].
Here,
[tex](x_1, y_1) = (8, -2)\\(x_2, y_2)=(1, 1)[/tex]
So, the slope can be defined as,
[tex]m = \frac{1-(-2)}{1-8} \\m=\frac{3}{-7} \\m=-\frac{3}{7}[/tex]
Hence, the slope of the line that passes through the given pair of points is, -3/7.
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Antonio has read at most 8 more books than Benji. If Benji has read 38 books, at most how many books has
Antonio read?
Find where the line 2y - 3x - 7=0 intersects the:
i y-axis
ii x-axis
Answer:
i = 7/2
ii = -7/3
Step-by-step explanation:
The line intersects one of the two axis when the vale of the other axis is 0
When x=0:
2y - 7 = 0
2y = 7
y = 7/2
When y = 0
-3x - 7 = 0
-3x = 7
x= -7/3
Find X in all three problems below
The lengths for the missing side of each case, determined by the use of trigonometric functions, are listed below:
Case D: 50.513
Case E: 46.165
Case F: 2.052
How to determine missing lengths of right triangles by trigonometric functions
In this problem we have three cases of right triangles, each of which has an unknown side length. Each length can be found by using trigonometric functions. Now we proceed to determine it for each case:
Case D
tan 29° = 28 / x
x = 28 / tan 29°
x ≈ 50.513
The missing side length is approximately 50.513 units.
Case E
tan 18° = 15 / x
x = 15 / tan 18°
x ≈ 46.165
The missing side length is approximately 46.165 units.
Case F
cos 70° = x / 46
x = 46 · cos 70°
x ≈ 2.052
The missing side length is approximately 2.052 units.
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how many ways are there to select 5 scoops of ice cream to put into a bowl, chosen from baskin robbins 31 flavors? a flavor may be selected multiple times.
In permutation, ³¹C₅ are there to select 5 scoops of ice cream to put into a bowl .
What are some examples of permutation?
A permutation is a set up of things in a specific order. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. The components of set A cannot be arranged in any other way, as you can see.Total ice cream flavor n = 31 flavor
selection of (r) = 5 scoop
total number of ways to select 5 scoops of ice cream from 31 flovers
= ³¹C₅
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Can anyone write the equation of the graph?
Answer:
use absolute value
Step-by-step explanation:
absolute of x +5
Your Spanish club is selling T-shirts for $20 each. The club has $400 in its account left over
from last year and needs to have a total of $2000 for a trip. How many T-shirts does your club
need to sell to reach its goal of $2000.
Had:
T-shirts:
otal:
Answer:
80
Step-by-step explanation:
first you need to substract 400 from 2000, then you divide the remaining by 20
a small airline runs commuter flights with a plane that holds 10 people. each ticket-holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight. which is an appropriate plan for a simulation that uses a table of random digits to estimate the probability that exactly ten people show up for the flight?
The probability that exactly 10 people will show up is 0.230
Let X measure the number of people (out of 12) who show up for a flight. For each passenger
we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.
(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)
∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]
P(10) = 0.230
So , the probability that exactly 10 people show up for the flight is 0.230 .
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a restaurant has special menu that features three choices of salad, six choices of entree, and eight choices of dessert. how many different three course meals could you order
72 three course meals we can order.
Question states that;
A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.
Counting Principle:
The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.
We need to find how many three course meals we can order;
Total number of ways,
P(A) = 3 * 6 * 8
P(A) = 72
72 three course meals we can order.
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Find the slope of the line that passes through (10, 6) and (3, 11).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-5/7
Step-by-step explanation:
know what to put here don't know how to explain!
Solve for v. Write your answers in simplified, rationalized form.
64v^3+1=0
Answer: v=-.25
Step-by-step explanation:
Step 1: Subtract 1 from both sides.
64v^3+1−1=0−1
64v^3=−1
Step 2: Divide both sides by 64.
64v^3 64 = −1 64
v^3= −1 64
Step 3: Take cube root.
v=( −1 64 )^(1/3 )
Step 4: There is no step 4 lol
v=−0.25
omg !!! please help so much !
Answer:
75
Step-by-step explanation:
15*3=45
6*5=30
45+30=75
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angelina drove at an average rate of 80 kmh and then stopped 20 minutes for gas. after the stop, she drove at an average rate of 100 kmh. altogether she drove 250 km in a total trip time of 3 hours including the stop. which equation could be used to solve for the time t in hours that she drove before her stop?
The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let t = time she drove before her stop
If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.
If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.
(80 km/h)(t) + (100 km/h)(8/3 - t) = 250
Simplify the equation.
80t + 100(8/3 - t) = 250
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PLEASE HELP MEEE!!!!!!!!!
Each function operation should be matched with what it is equivalent to as follows:
f(x) + g(x) = -2x² + x + 6.
g(x) - f(x) = -2x² - 5x + 2.
f(x) · g(x) = -6x³ - 10x² + 8x + 8.
h(x) - f(x) = 3x² - 7x - 2
f(x) · h(x) = 9x³ - 6x² - 8x.
f(x) + g(x) + h(x) = x² - 3x + 6.
How to determine the solutions of the given function?In order to determine the solutions of the given function, we would have to evaluate each of the function based on the required mathematical operations as follows.
From the information provided, we have the following functions:
f(x) = 3x + 2
g(x) = -2x² - 2x + 4
h(x) = 3x² - 4x
f(x) + g(x) = 3x + 2 + (-2x² - 2x + 4)
f(x) + g(x) = 3x + 2 - 2x² - 2x + 4
Next, we would rearrange the function by collecting like terms as follows:
f(x) + g(x) = -2x² + (3x - 2x) + (2 + 4)
f(x) + g(x) = -2x² + x + 6 (solution).
g(x) - f(x) = -2x² - 2x + 4 - (3x + 2)
Opening the bracket, we have:
g(x) - f(x) = -2x² - 2x + 4 - 3x - 2
Next, we would rearrange the function by collecting like terms as follows:
g(x) - f(x) = -2x² + (-2x - 3x) + (4 - 2)
g(x) - f(x) = -2x² - 5x + 2 (solution).
f(x) · g(x) = (3x + 2) × (-2x² - 2x + 4)
Opening the bracket, we have:
f(x) · g(x) = -6x³ - 6x² + 12x - 4x² - 4x + 8
Next, we would rearrange the function by collecting like terms as follows:
f(x) · g(x) = -6x³ + (-6x² - 4x²) + (12x - 4x) + 8
f(x) · g(x) = -6x³ - 10x² + 8x + 8 (solution).
h(x) - f(x) = 3x² - 4x - (3x + 2)
h(x) - f(x) = 3x² - 4x - 3x - 2
h(x) - f(x) = 3x² - 7x - 2 (solution).
f(x) · h(x) = (3x + 2) × (3x² - 4x)
f(x) · h(x) = 9x³ - 12x² + 6x² - 8x
f(x) · h(x) = 9x³ - 6x² - 8x (solution).
f(x) + g(x) + h(x) = 3x + 2 + (-2x² - 2x + 4) + (3x² - 4x)
f(x) + g(x) + h(x) = -2x² + x + 6 + 3x² - 4x
f(x) + g(x) + h(x) = x² - 3x + 6 (solution).
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Evaluate the numerical expression.
7.5 × 6.6 ÷ 0.6 − 15.3
Responses
A 67.2
B 97.8
C −32.25
D 197.25
The required numerical expression is evaluated as 67.2. Option A is correct.
Given that,
An expression is given 7.5 × 6.6 ÷ 0.6 − 15.3, we have to evaluate the given expression.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
= 7.5 × 6.6 ÷ 0.6 − 15.3
Simplify,
= 7.5 × 11 - 15.3
= 82.2 - 15.3
= 67.2
Thus, the required numerical expression is evaluated as 67.2. Option A is correct.
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if a password is to have 4 digits, each from 0 to 9, what is the probability that there will be no repeats on the digits?
The probability that there will be no repeats on the digits is 0.504.
What is meaning of probability?
The ratio of favorable outcomes with the total number of outcomes is known as probability of that event.
The number of digits of the password is 4.
The numbers from 0 to 9 is 10.
If the digit can repeat, then we can chose first digit in 10 ways, the second digit in 10, third digit in 10 ways and fourth digit in 10 ways.
The total number of ways is 10 × 10 × 10 × 10 =10000.
If the digit can't repeat, then we can chose first digit in 10 ways, the second digit in 9 (because we can't use first digit) , third digit in 8 ways (because we can't use first digit and second digit) and fourth digit in 7 ways(because we can't use first digit, second digit, and third digit).
The total number of ways is 10 × 9 × 8 × 7 =5040.
The favorable outcomes for this event is 5040.
The total number of outcomes is 10000.
The required probability is 5040/10000 = 0.504.
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Given f(x) = 19 - 4x|, find f (7)
The value of f(7) is 9 given that f(x) = |19 - 4x|
How to determine the value of f(7)?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: f(x) = |19 - 4x|
To find f(7), substitute x = 7 into f(x) = |19 - 4x|:
f(7) = |19 - 4(7)| = |19-28| = |-9| = 9
Note: The sign | | means absolute, the sign of any value inside it will be discarded and only the number is written
Therefore, f(7) is 9
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a/4 - 5/6 = -1/2
URGENT!
ACTUALLY DO THE MATH
Get it right and ill make the first person the brainiest!
Answer:
a = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a}{4}[/tex] - [tex]\frac{5}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
multiply through by 12 ( the LCM of 4, 6 and 2 ) to clear the fractions
3a - 10 = - 6 ( add 10 to both sides )
3a = 4 ( divide both sides by 3 )
a = [tex]\frac{4}{3}[/tex]
Answer:
[tex]a=\frac{4}{3}[/tex]
Step-by-step explanation:
Move all terms not containing [tex]a[/tex] to the right side of the equation.
Add [tex]\frac{5}{6}[/tex] to both sides of the equation.
[tex]\frac{a}{4}=-\frac{1}{2} +\frac{5}{6}[/tex]
To write [tex]-\frac{1}{2}[/tex] as a fraction with a common denominator, multiply by [tex]\frac{3}{3}[/tex].
[tex]\frac{a}{4}=-\frac{1}{2}*\frac{3}{3} +\frac{5}{6}[/tex]
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
[tex]\frac{a}{4}=-\frac{3}{2*3} +\frac{5}{6}[/tex]
[tex]\frac{a}{4}=-\frac{3}{6} +\frac{5}{6}[/tex]
Combine the numerators over the common denominator.
[tex]\frac{a}{4}=\frac{-3+5}{6}[/tex]
Add [tex]-3[/tex] and [tex]5[/tex] .
[tex]\frac{a}{4}=\frac{2}{6}[/tex]
Cancel the common factor of [tex]2[/tex] and [tex]6[/tex].
Factor [tex]2[/tex] out of [tex]2[/tex].
[tex]\frac{a}{4}=\frac{2(1)}{6}[/tex]
[tex]\frac{a}{4}=\frac{2*1}{2*3}[/tex]
Cancel the common factor.
[tex]\frac{a}{4}=\frac{1}{3}[/tex]
Multiply both sides of the equation by [tex]4[/tex].
[tex]4\frac{a}{4} =4(\frac{1}{3})[/tex]
Simplify both sides of the equation.
Simplify the left side.
Cancel the common factor of [tex]4[/tex].
[tex]a=4(\frac{1}{3})[/tex]
Simplify the right side.
Combine [tex]4[/tex] and [tex]\frac{1}{3}[/tex]
[tex]a=\frac{4}{3}[/tex]
Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also asked them to rate their mood on a scale from 0,10, with ten being the happiest. A line was fit to the data to model the relationship.
Answer:
The answer is B. y = -x + 7.5.
Step-by-step explanation:
The slope is -1 and the y-intercept is 7.5.
PLEASE MARK AS BRAINLIEST!!!pls help! Last year, 180 new houses were built in a neighborhood. So far this year, 5/6 of them have been sold. How many new houses have been sold this year? Write your answer in simplest form.
Answer:
150 Houses
Step-by-step explanation:
180/6=30. Every 1/6 is 30 houses. Therefore you multiply 30x5 to get 150. 150 is 5/6 of the houses sold.
Use estimation or fraction multiplication to determine if your answer is reasonable. Calculate the product. 78.93 x 32.45
Answer:
2561.2785
Step-by-step explanation:
All you gotta do is calculate and times 78.93 x 32.45
Help find the Perimeter of 4,5,6 please
The perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm and 28 inches respectively.
We need to find the perimeter of given figures.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
4) Now, sum of all the sides
= 5+3.5+1.5+3.5+5+3.5+1.5+3.5 m
= 27 m
5) Here, radius = Diameter/2 = 17 cm
Perimeter = 2 semicircles+2(17) cm
= 2 × 1/2 πr + 2×17
= 2 × 3.14 × 17 + 34
= 140.76 cm
6) In the given figure here, there are 4 similar triangles
= 4(4+3) inches
= 4 × 7
= 28 inches
Therefore, the perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm and 28 inches respectively.
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Here you go LOL didn't get all the files. I need help TWT
Answer:
First option
Step-by-step explanation:
→ Define domain
The set of x values a function can take
→ Identify
2 to negative infinity
a flagpole has a height of 15 yards it will be supported by 3 cables edach of which is attached to the flagpole at a point 3 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole find the total number of yards of cable that will be required
There are 45 yards of cable that will be required.
Let us find the total number of yards of cable that will be required.Since we have given that
Height of cable = 15 yards - 3 yards = 12 yards
Distance from pole = 9 yards
cable is the hypotenuse of the right-angled triangle.
So, it becomes,
[tex]c^{2} = b^{2}+p^{2}[/tex]
[tex]c^{2} = 12^{2}+9^{2}[/tex]
[tex]c^{2} = 144+81[/tex]
[tex]c^{2} = 225[/tex]
[tex]c = \sqrt{225}[/tex]
c=15 yards
Since the number of cables supported = 3
So, the number of yards of cable that will be required would be
= 3 x 15 = 45
Hence, there are 45 yards of cable will be required.
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Write an equation that has a variable on both sides and x = -11
as a solution.
The equation that has x = -11 as the solution is given by -
y = x + 11
Write the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation that has a variable on both sides and x = -11 as a solution.
An equation of a straight line can be used to depict the problem given. We can write the equation as -
y = x + 11
Therefore, the equation that has x = -11 as the solution is given by -
y = x + 11
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