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2 years ago

An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

8 0

Answer:

Fantasy: 3 barrels
Ecstasy: 1 barrel

Step-by-step explanation:

Given

Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

In stock are 16 lb of nuts, 10 lb of chocolate

Find

amount of each to maximize profit

Solution

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

4x +4y ≤ 16 . . . lb of nuts

3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

50x +40y

The graph shows the feasible region. Its vertices are ...

(0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

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The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta

viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = $\mu = 15.50$

Standard deviation = $\sigma = 1.72$

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : $z=\frac{x-\mu}{\sigma}$

At x = 14

$z=\frac{14-15.50}{1.72}$

$z=-0.8720$

Refer the z table for p value

P(x<14)=0.1922

At x = 16

$z=\frac{16-15.50}{1.72}$

$z=0.290$

Refer the z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

4 0

1 year ago

1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per nig

Vladimir [108]

Answer:

Option E

Step-by-step explanation:

This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.

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1 year ago

What is the completely factored form 8x2-50y2?

lorasvet [3.4K]

Remember
a²-b²=(a-b)(a+b)

8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)

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2 years ago

Find 3 rational numbers between ¼ and ½

ozzi

Answer:

5/16 and 3/8 are two

Step-by-step explanation:

idk a third

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1 year ago

The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown. 9x2 + 49x = 22 − 5

Vladimir79 [104]

Answer:

9x²+49x=22-5x

==>9x²+54x-22=0

==>9(x²+2*3x+9)-22-81=0

==>9(x+3)²-103=0

5 0

2 years ago

Read 2 more answers