Jeremy wants to buy a backpack that costs $65. Luckily, the store is having a 35% off sale. What will be the sale price of the backpack?

A)$22.75
B)$42.25
C) $87.75
D) $30

Answer:

Step-by-step explanation:

1895 x 7895 + 6575 - 1.753

14961025 + 6575 - 1.753

14967600 - 1.753

14,967,598.247

(a) The mean of C is 1.0 and the standard deviation is 1.0.

(b) The mean of the total number of adult and child tickets purchased is 3.0, and the standard deviation is approximately 1.56.

(c) The mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.

(a) To compute the mean of C, we multiply each value of C by its corresponding probability and sum them up:

Mean (μ) = (0 * 0.4) + (1 * 0.3) + (2 * 0.2) + (3 * 0.1) = 0 + 0.3 + 0.4 + 0.3 = 1.0

To compute the standard deviation, we first need to calculate the variance. The variance (σ²) is found by summing the squares of the differences between each value of C and the mean, weighted by their corresponding probabilities:

Variance (σ²) = [(0 - 1)² * 0.4] + [(1 - 1)² * 0.3] + [(2 - 1)² * 0.2] + [(3 - 1)² * 0.1] = 0.4 + 0 + 0.2 + 0.4 = 1.0

Finally, we take the square root of the variance to obtain the standard deviation (σ):

Standard Deviation (σ) = √(1.0) = 1.0

(b) Since the numbers of child tickets and adult tickets purchased are independent, the mean of the total number of adult and child tickets purchased is the sum of their individual means:

Mean (μ) = Mean of child tickets (μ c) + Mean of adult tickets (μ a) = 1.0 + 2 = 3.0

The variance of the total number of tickets purchased is the sum of the variances of the child and adult tickets:

Variance (σ²) = Variance of child tickets (σ c²) + Variance of adult tickets (σ a²) = 1.0 + (1.2)² = 2.44

The standard deviation of the total number of tickets purchased is the square root of the variance:

Standard Deviation (σ) = √(2.44) ≈ 1.56

(c) To compute the mean and standard deviation of the total amount spent per purchase, we need to multiply the number of child tickets and adult tickets purchased by their respective prices and sum them up.

Mean (μ) = Mean number of child tickets (μ c) * Price of child ticket + Mean number of adult tickets (μ a) * Price of adult ticket

Mean (μ) = 1.0 * $15 + 2 * $25 = $15 + $50 = $65

Variance (σ²) = Variance of child tickets (σ c²) * (Price of child ticket)² + Variance of adult tickets (σ a²) * (Price of adult ticket)²

Variance (σ²) = 1.0 * ($15)² + (1.2)² * ($25)² = $225 + $900 = $1125

Standard Deviation (σ) = √(1125) ≈ $33.54

Therefore, the mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.

To know more about standard deviation:

https://brainly.com/question/13498201

#SPJ6

Answer:

6

Step-by-step explanation:

6 is in the middle with 2 numbers on each side so it is the medium

Answer:

1. - 6.75

2. 15/28

3. - 3.3

Step-by-step explanation:

The first is correct because a positive times a negative is a negative.

The second is incorrect. It should be 15/28 because a negative times a negative is a positive.

The third is incorrect because a positive times a negative is a negative.

The answer should be

1. - 6.75

2. 15/28

3. - 3.3

Answer:

Step-by-step explanation:

0.34

Answer: I took a screen shot of it hope it helps

Step-by-step explanation:

Answer:E

Step-by-step explanation:

( row total * column total ) / ( Table total)

Answer:

2.5 times 4.5 times .5 = 5.625 ft squared

Step-by-step explanation:

Lets look at our Formula

.5 times base of triangle (b) times height of triangle (h)

Based on the photo, the height is 4.5 feet and the base is 2.5 feet.

4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.

Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared

Answer:

51

Step-by-step explanation:

Answer:

$9052

Step-by-step explanation:

a= starting car price

(1-r)= exponential decay

r= rate

t= # of years

Equation:

a(1-r)^t

Plug in the numbers.

a= 24000   r=15%=0.15   (1-r)= 1-0.15 = 0.85  

a(1-r)^t      =      24000(0.85)^6

               =    24000(0.37714951562)

                  = 9051.588375

                    = 9052

Answer:

N = 50

Step-by-step explanation:

Of means multiply and is means equals

3/5 * N = 30

Multiply each side by 5/3 to isolate N

5/3 * 3/5 * N = 30 * 5/3

N = 50

Answer:

z=3

Step-by-step explanation:

-12=-8z+12

-12-12=-8z

-24=-8z

-24/-8=z

z=24/8

3=z

z=3

Answer and Step-by-step explanation:

To solve for z, we have to get everything away from z.

First, subtract 12 from both sides of the equation.

-24 = 8z

Now, divide each side by 8.

-3 = z

z is equal to -3 (negative three).

#teamtrees #PAW (Plant And Water)

Answer:17

Step-by-step explanation:

first off find the rate in which he made in an hour.

so 104/8 which is 13. then divide 221 by 13 and u get 17.

17 hours

Answer:

729/4096

Step-by-step explanation:

3^6/4^6 = 729/4096

Step-by-step explanation:

1 case- 8 cans

If you have 32 cans and you know that 1 case can have 8 cans you do this:

32:8=4 cases

Then if you have 10 cases in each you get 8 cans so it equals:

10*8=80cans

And last:

You have 96 cans and again you know that one case can contain 8 cans so it is:

96:8=12 cases

When you write that:

1. answer: 8

2.answer:4

3.answer:80

4.answer:12

Answer:

245x^2+2520x^2−2175x−2750

Step-by-step explanation:

=((7x−10)(7x+5))(5x+55)

=((7x−10)(7x+5))(5x)+((7x−10)(7x+5))(55)

=245x^3−175x^2−250x+2695x^2−1925x−2750

=245x^2+2520x^2−2175x−2750

Hope it helps :)

Answer:

last graph

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

300/20 = 15

Step-by-step explanation:

There are a number of ways to solve this problem, but I will show you the easiest way.

3/20 x 100/1 =

First, do 3 x 100. This gives you 300.

Next, do 20 x 1. This gives you 20.

So now, your answer is 300/20.

300 divided by 20 is 15, so this simplified version of 300/20 is 15!

300/20 = 15 (simplified)

Answer:

Points in Euclidean geometry

In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.

Step-by-step explanation:

Answer:

88 half gallons

Step-by-step explanation:

We can solve this problem by creating an equation. First we will need a variable. Since we are trying to find how many half gallons the store bought, that will be what our variable represents.

Let g = the number of half gallons

Since the store bought milk for $2.60 per half gallon, the amount of money they spent will be 2.6g.

The remaining milk is sold for $4.08 per half gallon. Remember, the store lost 15 half gallons so the number of gallons is currently g-15. This means that to find the amount of profit they made, we use 4.08(g-15).

We already know that the profit is $69.04, so we can make this into an equation.

This profit is the amount of money made minus the cost.

4.08(g-15) - 2.6g = 69.04

We can begin to solve this by simplifying the left side.

4.08(g-15) - 2.6g

4.08g - 61.2 - 2.6g

1.48g - 61.2

This makes our new equation:

1.48g - 61.2 = 69.04

We can begin to isolate our variable, g, by adding 61.2 to both sides.

1.48g = 130.24

Then we divide both sides by 1.48.

g = 88

Answer:

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Answer: I think its C (12/25) I'm not completely sure though.

Step-by-step explanation:

Answer:

What's the question?

Step-by-step explanation:

Answer:

0.25 = 25% probability of choosing white shoes and a green shirt

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The probability of choosing a shoe is independent of the shirt. So we find each separate probability, and then multiply them.

Probability of choosing white shoes:

2 shoes option, one of which is white. So

[tex]P(A) = \frac{1}{2}[/tex]

Probability of choosing a green shirt:

2 shirts options, one of which is green. So

[tex]P(B) = \frac{1}{2}[/tex]

What is the probability of choosing white shoes and a green shirt?

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}[/tex]

0.25 = 25% probability of choosing white shoes and a green shirt

Answer:

the original price of the book is $20

Step-by-step explanation:

sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.

Things that are useless:

Things that are helpful:

Ok, now that we know those, let's work on the question.

let b be the original book price

we need to find 10% so we have to use 90% (because 100 - 10 = 90)

if we needed to find 20% we would use 80% (because 100 - 20 = 80)

and so on.

  90% of b = 18    (90% of the og. book price equals 18)

90/100 × b = 18    (write a correct equation and make the percent a fraction)

    9/10 × b = 18    (simplify both sides of the equation)

         9 × b = 180  (multiply both sides of the equation to get rid of fraction)

               b = 20   (divide both sides of the equ. to get b by itself)

the original price of the book is $20

hope this helped :D

good luck my friend

- cheesetoasty

x=54°

Answer:

x+126=180 supplementary

x=180-126

x=54