A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:1.5

Step-by-step explanation:

Y=1/2 of x

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

A. \(V = a^{3}\)

   a= V^1/3 = 12167^1/3 = 23cm

The height = 23cm

B. Area of one face of the cube = \(6*S^{2}\) = \(6*23^{2}\) = 3174\(cm^{2}\)

Step-by-step explanation:

A. To find the height of the cube, I used the cube root of the given volume, since the volume of a cube is equal to the cube root of its length/height

B. To find the area of one side of the cube, I sustitute S for the side length/height of the cube, which is 23cm. Then I multiplying the length of the cube's side by its width to find its area, since the length and width of a cube's side is the same.

Answer:

Step-by-step explanation:

its 186

Answer: okay so first solve for x which is going to be x=10

Step-by-step explanation:

Combine like terms:

2 x + x + x + 2x + 2x = 8x

-1 -3 = -4

The equation becomes 8x -4 = 76

If you need to solve it:

8x-4 = 76

Add 4 to both sides:

8x = 80

Divide both sides by 8:

X = 10

My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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Answer:

  -1

Step-by-step explanation:

The average rate of change is the ratio of the difference in y-values to the difference in x-values of corresponding points.

At x=-1, f(x) = (-1)^2 -(-1) -1 = 1

At x=1, f(x) = (1)^2 -(1) -1 = -1

So, points on the graph are (-1, 1) and (1, -1).

Then the change in y over that interval is -1 -1 = -2.

The change in x over that interval is 1 -(-1) = 2.

The average rate of change is ...

  ∆y/∆x = -2/2 = -1 . . . . average rate of change on (-1, 1)

Answer:

7 15 178

Step-by-step explanation:

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The amount of paint needed to paint 20 pillars is 9.874 gallons.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The curved surface area of a single-cylinder with a diameter of 2.5 feet and a height of 22 feet will be,

Curved surface area = πDh = π × 2.5 × 22 = 172.7875 ft²

The total area of 20 pillar = 20 × 172.7875 ft² = 3,455.75191 ft²

Since a gallon of paint can cover only 350 ft², therefore, the amount of paint that will be needed to paint 3,455.75191 ft² can be written as,

\(\text{Amount of paint needed} = \dfrac{3,455.75191\rm\ ft^2}{350\rm\ ft^2} = 9.874\rm\ gallons\)

Hence, the amount of paint needed to paint 20 pillars is 9.874 gallons.

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Answer:

-74 your welcome

Step-by-step explanation:

Answer:

-1/4 is the correct answer

Step-by-step explanation:

you’re going down 1 and over 4 :)

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

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

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

Answer:

C)

Step-by-step explanation:

Sides:

WX = FE

XY = EY

WY = FY

Angles:

∠W = ∠F

∠X = ∠E

∠Y = ∠Y

Answer:

a= x-f

b=y-b

Step-by-step explanation:

Answer: $80.16 ($748.16)

Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12

(i'm doing your math in the middle of my math class. you're welcome.)

The amount of money originally in Austin's mother's account was $736.38.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To find out how much money was originally in Austin's mother's account, we need to add up all of the transactions and then subtract that total from the amount of money she has left,

Total transactions = -$32 - $35.13 - $38.07 - $119.50 + $5.95 - $295 - $26.20 - $89.17 - $96.63 = -$725.75

Amount originally in account = $10.63 - (-$725.75) = $736.38

Therefore, the amount of money originally in Austin's mother's account was $736.38.

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Answer:

the value of x is 7

Step-by-step explanation:

First, find the half of the perimeter that is 36 divided by 2 which is 18

Next, write like this

18= l+w( length = width)

which means you have to get the sum of 18

so try sums of 18 randomly like

17 + 1

11 + 7

16+2 etc

but the thing is the value of x must be the same it must not be different so

11 + 7 will be suitable because

11 = 7 + 4

7 = 2 x 7 - 7 = 7

and to find the area which is l x b

11 x 7= 77sq. cm

please mark me the brainliest and a thanks too

Answer:

x=7

Step-by-step explanation:

7+4=11(2)=22

2(7)-7= 14-7= 7(2)=14

22+14=36

Answer:

A(3,-1) and B( -2,1)

Step-by-step explanation:

2x+5y=1. , or. y=(1–2x)/5………….(1)

x^2+5xy-4y^2+10=0…………………..(2)

Putting y=(1–2x)/5 from eqn. (1)

x^2+5x.(1–2x)/5–4/25.(1–2x)^2 +10=0

or. 25x^2+25x.(1–2x)-4.(1+4x^2–4x)+250 = 0

or. 25x^2+25x-50x^2–4–16x^2+16x+250=0

or. 41x^2–41x-246=0

or x^2– x - 6=0

or. (x-3).(x+2)=0

=> x= 3 or -2

But y=(1–2x)/5

=> y= (1–6)/5 or. (1+4)/5

hence, y= -1. or. 1

Answer:

68 and 40

Step-by-step explanation:

x - y = 28

x * y = 2720

x = 28 + y

(28+y)y = 2720

28y+y^2 = 2720

y^2 + 28y - 2720 = 0

discriminant = 28^2 - 4(-2720) = 784 + 10 880 = 11 644

we are searching only the positive value

y = (-28 + 108)/2 = 80/2 = 40

x = 28 + 40 = 68

In terms of part A, the solution set is a triangular region with vertices at (0,4), (2,3), and (4,0).

Part B: Yes, the point (2, 3) included in the solution area for the system.  The solution of the inequalities is (4, 0).

Part C. I choose the point (1,3) in the solution set. This implies that Michael can buy 1 cupcake and 3 pieces of fudge with $16 as well as feed at least 4 siblings.

Part A: The inequalities limit Michael's purchase of cupcakes and fudge with $16 to feed at least 4 siblings. The first one, 4x + 2y ≤ 16, restricts the total cost to be $16 or less. To graph y ≤ -2x + 8, draw the line with slope -2 and y-intercept 8, and shade below it. The inequality x + y ≥ 4 means Michael must feed at least 4 siblings. It can be graphed as y ≥ -x + 4, a line with slope -1 and y-intercept 4. To graph the inequality, draw a dashed line with slope -1 and y-intercept 4. Shade the region above the line for y ≥ -x + 4. The solution set is the intersection of the shaded regions. Triangle with vertices (0,4), (2,3), and (4,0).

Part B:

To check if (2,3) is in solution area, we test if it satisfies both inequalities. We substitute x=2, y=3 into 4x + 2y ≤ 16 and get 14. When x=2 and y=3 in x+y≥4, we get 5, which is true. However, (2, 3) is not included in the solution area because it does not satisfy 2x+y≤8.

Part C:

Let select (2,2) in the solution set. Michael can buy 2 cupcakes and 2 pieces of fudge while feeding 4 siblings within his budget. Michael can spend $8 on 2 cupcakes and $4 on 2 fudge pieces to feed his siblings. Michael can buy various combinations of cupcakes and fudge within his budget to feed at least 4 siblings.

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See full question below

Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.

This system of inequalities models the scenario:

4x + 2y ≤ 16

x + y ≥ 4

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)

Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)

Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Answer:

BLDM

Step-by-step explanation:

Answer:

6 pieces of candy

Step-by-step explanation:

50% is a half (of 100%)

12 pieces of candy in 100% divide by 2

6 = 50%

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

y= 3x + 5

Step-by-step explanation:

y

the intecept cross x=3 and y=5

Answer:

True

Step-by-step explanation:

I took the test!

Answer:

true is the answer

There are an infinite number of triangles which can be constructed with angles measuring this.

There are an infinite number of lengths the sides of the triangles can be while the angles stay the same measure.

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

Answer:

\(Absolute\ Change = -0.766\)

Step-by-step explanation:

Given

\(2008\ CPI = 215.303\)

\(2009\ CPI = 214.537\)

Required

Determine the absolute change

Absolute change is calculated as thus:

\(Absolute\ Change = 2009\ CPI - 2008\ CPI\)

\(Absolute\ Change = 214.537 - 215.303\)

\(Absolute\ Change = -0.766\)

Hence:

The absolute change from 2008 to 2009 is -0.766