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NNADVOKAT [17]
2 years ago
8

Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p ) he will need

to make 60 cookies. He assumes each cookie will have the same number of sprinkles.
Mathematics
1 answer:
Arisa [49]2 years ago
3 0

Answer:

960

Step-by-step explanation:

<u>Given:</u>

  • Stan's cookie recipe makes 24 cookies.
  • It needs exactly 384 sprinkles.

<u>To Find:</u>

  • Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>

<u>Find the number of sprinkles needed for 1 cookie:</u>

  • 24 cookies = 384 sprinkles
  • 1 cookie = 384 ÷ 24
  • 1 cookie = 16 sprinkles

<u>Find the number of sprinkles needed for 60 cookies:</u>

  • 1 cookie = 16 sprinkles
  • 60 cookies = 16 x 60
  • 60 cookies = 960 sprinkles

Answer:  Stan will need 960 sprinkles for 60 cookies.

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10 points! How do I factor 8x^2-26x+15
Rufina [12.5K]
<h3><u>(2x - 5)(4x - 3)</u></h3>

The AC method, also known as splitting the middle, can be shown like this:

8x^2 - 26x + 15

<em><u>Check factors of 120.</u></em>

1 * 120

-1 * -120

2 * 60

-2 * -60

3 * 40

-3 * -40

5 * 24

-5 * -24

6 * 20

-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)

<em><u>Split the middle term.</u></em>

8x^2 - 6x - 20x + 15

<em><u>Group in terms of 2.</u></em>

(8x^2 - 6x) - (20x + 15)

<em><u>Factor each binomial.</u></em>

2x(4x - 3) - 5(4x - 3)

<em><u>Rearrange the terms.</u></em>

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6 0
3 years ago
Read 2 more answers
Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2
Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

E(x) = \sum x* P(x)

So, we have:

E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2

This gives

E(x) = 2.7

Next, calculate E(x^2) using:

E(x^2) = \sum x^2* P(x)

So, we have:

E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2

E(x^2) = 9.5

The variance is then calculated as:

Var(x) = E(x^2) - (E(x))^2

So, we have:

Var(x) = 9.5 - 2.7^2

Var(x) = 2.21

Approximate

Var(x) = 2.2

Hence, the variance of the data is 2.2

Read more about variance at:

brainly.com/question/15858152

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2 years ago
Jhvjkelhndbkjehlhdbhlfoei;hljkdv joer
alexandr1967 [171]

Answer:

2.5

Step-by-step explanation:

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