At the movies, Hunter bought 3 popcorn and 5 drinks. Each popcorn
costs $0.40 less than a drink. If he spent a total of $24.00, what was the
cost of each popcorn?


Step by step explanation pls!!!!

Fill the blanks this way

1. Given

2. Segment addition postulate

3. Substitution property of equality

4. Substraction property of equality

5. Division property of equality

The percentage of items that cost less than $10.5 is 44.78%.

To solve this problem, we need to use the properties of the exponential distribution. We know that the mean cost per item is $13.5, which means that the parameter λ (the rate parameter) of the exponential distribution is 1/13.5 = 0.0741.

To find the percentage of items that cost less than $10.5, we need to calculate the cumulative distribution function (CDF) of the exponential distribution at $10.5:

CDF($10.5$) = 1 - e^(-λ*$10.5$) = 1 - e^(-0.0741*$10.5$) = 0.4478

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Answer:

C ≈ 25.1 yd

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )

Answer:

25.1

Step-by-step explanation:

Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd

π = 3.14
=  2 x π x r
= 2 x 3.14 x 4
= 25.12

Rounded up:
= 25.1

The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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Answer:

A 3/19

Step-by-step explanation:

There are 4 candies of each color. If you take out one yellow, you not only have three yellows; you have 19 candies. 3/19 is the answer.

Answer:

3/19

Step-by-step explanation:

There is an equal number of colored candies, in which there are 20 candies in all, and 5 colors:

20/5 = 4

Each color has 4 candies.

Savannah was able to obtain a yellow candy, and she does not replace it:

4/20 removing one yellow candy = 3/19

A) 3/19 is her chance of getting another yellow.

Answer: J. A = 12 (4⋅6).

Step-by-step explanation:

Answer: J. A = 12 (4⋅6).

This equation can be used to find the area of the triangle in the diagram because it uses the formula for the area of a triangle, which is A = 1/2 * b * h, where b is the base and h is the height. Since the triangle in the diagram has a base of 4 and a height of 6, the equation A = 12 (4⋅6) can be used to find the area.

Answer:

The diagram is not provided, so it's difficult to determine the exact dimensions of the triangle and parallelogram. However, we can make some general observations to determine which equation can be used to find the area of the triangle.

First, we know that the area of a triangle is given by the formula:

A = 1/2 * base * height

We also know that the area of a parallelogram is given by the formula:

A = base * height

In the diagram, the triangle can be formed into a parallelogram by taking one of its sides and using it as the base of the parallelogram. The height of the parallelogram is the same as the height of the triangle.

Based on these observations, we can conclude that the equation that can be used to find the area of the triangle is:

A = 1/2 * base * height

where the base is one of the sides of the triangle, and the height is the height of the parallelogram (which is the same as the height of the triangle).

None of the answer choices provided match this equation, so the correct answer is not given.

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).​

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

Answer:

its 60 / (72/12) + 34 = 44. So divide, divide, add.

Step-by-step explanation:

First, solve the what's in the parentheses. 72/12 = 6.

60/6 = 10.

34+10 = 44.

Answer:

$445

Step-by-step explanation:

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

The company expects $445 in sales.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.

Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.

Here, x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y as;

y = 2.1 x + 130

y = 2.1 (150) + 130

y = 445

Thus, The company expects $445 in sales.

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(a) The mean of X, the number of adults who believe that the overall state of moral values is poor, can be calculated using the formula for the mean of a binomial distribution. In this case, the probability of an adult believing that the overall state of moral values is poor is given as 0.62. So, the mean is calculated as follows:

Mean (μ) = n * p

where n is the number of trials (100 adults) and p is the probability of success (0.62).

μ = 100 * 0.62 = 62

The mean of X is 62.

The standard deviation of X can be calculated using the formula for the standard deviation of a binomial distribution:

Standard deviation (σ) = √(n * p * (1 - p))

σ = √(100 * 0.62 * (1 - 0.62)) ≈ 4.15

The standard deviation of X is approximately 4.15.

(b) The correct interpretation of the mean is C.

For every 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. In this case, the mean of 62 indicates that, on average, out of every 100 adults surveyed, approximately 62 of them would be expected to believe that the overall state of moral values is poor.

(c) To determine whether it would be unusual for 66 of the 100 adults surveyed to believe that the overall state of moral values is poor, we need to consider the concept of unusual or statistically significant values.

Since we know the mean (62) and standard deviation (approximately 4.15) of the distribution, we can calculate the z-score for 66 using the formula:

z = (x - μ) / σ

where x is the observed value (66), μ is the mean (62), and σ is the standard deviation (approximately 4.15).

z = (66 - 62) / 4.15 ≈ 0.964

Next, we can compare the calculated z-score to the standard normal distribution to determine if it is considered unusual. Assuming a significance level of 0.05 (commonly used), we look up the z-score in the standard normal distribution table or use a statistical calculator.

The z-score of 0.964 corresponds to a p-value of approximately 0.166, which is greater than 0.05. Therefore, it would not be considered unusual if 66 of the 100 adults surveyed believed that the overall state of moral values is poor.

In summary:

The mean of X, the number of adults who believe that the overall state of moral values is poor, is 62. The standard deviation is approximately 4.15.

For every 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. In this case, 62 adults, on average, would be expected to believe so.

C. It would not be considered unusual if 66 of the 100 adults surveyed believed that the overall state of moral values is poor, as the calculated z-score of 0.964 corresponds to a p-value greater than 0.05.

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The equation of proportion is y equals 2 over 9 x and , y = ( 2/9 )x

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

where y varies directly with x, and y is 16 when x is 72

So , when x = 72 , y = 16

y = kx

16 = k ( 72 )

Divide by 72 on both sides , we get

k = 16 / 72

k = 2/9

Therefore , the value of A is y = ( 2/9 )x

Hence , the equation is y = ( 2/9 )x

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Answer:3/2

Step-by-step explanation:

i just had this on a test a triangle always equals this

The ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

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.

Given that, a triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm.

The ratio of the lengths is 3.2:4.8:3.6

= 1.6:2.4:1.8

= 0.8:1.2:0.9

Therefore, the ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

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Answer: 7.5

Step-by-step explanation:

Answer:

12 degrees

Step-by-step explanation:

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

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3) \(3(2x-6)=\boxed{6x-18}\)

4) \(2x(5x+11)=10x^{2}+22x\)

Answer:

B 8÷2

Step-by-step explanation:

because of pemdas.

Answer:

B

Step-by-step explanation:

Follow the order of PEMDAS. So you gotta solve inside the prenthesis first following the order of pemdas and division comes first.

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

The cost of one cherry pie is $7 and the cost of one pumpkin pie is $13. To find the cost of each cherry pie and each pumpkin pie, we can set up a system of equations based on the given information. Let's represent the cost of a cherry pie as 'c' and the cost of a pumpkin pie as 'p'.

From Lelia's sales, we can write the equation: 12c + 11p = 227.

From Saige's sales, we can write the equation: 2c + 3p = 53.

To solve this system of equations, we can use various methods such as substitution or elimination. Let's use the elimination method in this case.

Multiplying the second equation by 6 to make the coefficients of 'c' the same in both equations, we get:

12c + 18p = 318.

Now, subtracting the first equation from this new equation, we have:

(12c + 18p) - (12c + 11p) = 318 - 227,

7p = 91.

Dividing both sides by 7, we find p = 13.

Substituting this value of p back into either of the original equations, we can solve for c. Let's use the first equation:

12c + 11(13) = 227,

12c + 143 = 227,

12c = 227 - 143,

12c = 84,

c = 7.

Therefore, the cost of one cherry pie is $7 and the cost of one pumpkin pie is $13.

In conclusion, based on the given information and by setting up a system of equations, we found that one cherry pie costs $7 and one pumpkin pie costs $13.

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The option that is least likely to be an application where statistics will be useful is "Choosing the wording of a corporate policy prohibiting smoking".

This is because statistics are generally used to analyze numerical data and make predictions or decisions based on that data.

However, choosing the wording of a corporate policy does not involve numerical data and therefore would not require the use of statistics.

The other options, such as deciding whether offering Rice Krispies improves restaurant sales, predicting whether an airfare is likely to rise or fall, and designing the most desirable features for a ski pass, all involve the analysis of numerical data and therefore would benefit from the use of statistics.

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data.

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The diameter of the basketball is increasing at a rate of 0.24 inches per second when the radius is 1 inch.

Let's denote the radius of the basketball as r and the volume of the basketball as V. The volume of a sphere can be calculated using the formula V = (4/3)π\(r^3\).

Given that the basketball is being filled with air at a rate of 6 \(in^3\)/sec, we can write dV/dt = 6. Since the basketball is a perfect sphere, the radius and the diameter are related by the equation D = 2r, where D is the diameter.

To find how fast the diameter is increasing, we need to find dD/dt. Since D = 2r, we have dD/dt = 2dr/dt.

We can find dr/dt by differentiating the volume formula with respect to time. Taking the derivative of both sides of V = (4/3)π\(r^3\), we get dV/dt = 4π\(r^2\)(dr/dt).

Substituting the given value of dV/dt and the known value of r (1 inch), we can solve for dr/dt.

6 = 4π\((1^2)\)(dr/dt)

6 = 4π(dr/dt)

dr/dt = 6/(4π)

Finally, substituting this value into dD/dt = 2dr/dt, we get dD/dt = 2(6/(4π)) = 3/(2π) ≈ 0.477 inches per second.

Therefore, when the radius is 1 inch, the diameter of the basketball is increasing at a rate of approximately 0.477 inches per second.

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Answer:

The square of a number is greater than the number is true because The square of 2 is 4

There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

5x/5 = (8 - y)/5

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

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Answers:

========================================================

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

Answer:

y = 1/2x - 9

Answer:

y = 1/2x - 9/2

Step-by-step explanation:

if the x-intercept is (9,0) and the slope is 1/2 we can find the y-intercept ('b'):

0 = 9(1/2) + b

0 = 9/2 + b

-9/2 = b

Answer:

10

Step-by-step explanation:

No of coffee mugs = m

No of water glasses = g

g = m + 6

g + m = 26

m + 6 + m = 26

m + m = 26 - 6

2m = 20

2m/2 = 20/2

m = 10

As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Answer:

im pretty sure the Answers b, but i've never done this before so sorry if its not

Step-by-step explanation:

Hello !

\(a - (a - b) - b - (b - a)\\\\= a - a + b - b - b+a\\\\\boxed{= a - b}\)

Answer:

Step-by-step explanation:

a - ( a - b ) - b - ( b - a )

= a - a + b - b - b + a

= a - b

The probability of rolling a sum of six or two even numbers.

is P = 1/3

Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:

6*6 = 36

Now, the outcomes that given a sum of 6 are:

dice 1    dice 2.

1              5

5              1

2              4

4              2

3             3

We have 5 outcomes there.

The outcomes where both numbers are even are:

dice 1    dice 2.

2             2

2             4

4             2

4             4

4            6

6             2

6             4

6             6

We have 8 outcomes here (such that 2 are in the ones we counted before).

Then the total number of outcomes that either add to 6 or have both even numbers are:

5 + 8 - 2 = 12

Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:

P = 12/36 = 1/3

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