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lisabon 2012 [21]
2 years ago
14

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level

.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?

1. It cannot be a fraction or decimal because the depth of the well is a whole number.

2. It must be a positive number since it represents a number of hours.

3. It must be a negative number because the depth is below sea level.

4.It cannot be greater than –72 because that is the depth of the well.
Mathematics
1 answer:
jek_recluse [69]2 years ago
8 0

Answer:

Step-by-step explanation:

Is this the entire question? Some of it makes no sense without a diagram or something.

To get rid of A you actually have to solve the equation.

7h – 5(3h – 8) = –72        Remove the brackets

7h - 15h + 40 = - 72          Combine the like terms

- 8h + 40 = - 72                Subtract 40 from both sides

- 8h = -112                        Divide by -8

    h = 14

Well the depth is a whole number so A is true.

We don't know anything about time. But the answer is positive.

C is false because B is true.

We don't know exactly what the depth of the well is.

I would pick A, but you need the entire question.

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A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
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Answer:

(A)  H_0 : μ = 22 ; H_A : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, H_0 : \mu = 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, H_A : \mu \neq 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

             T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounces

            n = sample of bottles = 65

(B) So, <u>test statistics</u> =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }

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Hence, the value of test statistics is -2.69.

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Given:

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Total pounds of briskets and hamburgers = no more than 150 lb

number of hamburgers = x

number of briskets = y

No more than in inequality = (≤)

The inequality:

5y + 0.25x ≤ 150

Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

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Answer:

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