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bixtya [17]
2 years ago
5

Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 wee

ks?
Mathematics
1 answer:
Katena32 [7]2 years ago
5 0
For this case, the first thing we must do is define a variable.
 We have then:
 x: number of weeks
 y: amount of cereal that Melanie eats
 We now write the function that models the problem:
 y = 1.5x

 Then, for 5 weeks we have:
 y = 1.5 (5)

y = 7.5 pounds
 Answer:
 
A model that best represents the number of pounds of cereal she eats is:
 
y = 1.5x

 For 5 weeks we have:
 
y = 7.5 pounds
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3 years ago
Help Pleasee i need help really bad
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3 years ago
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A normal population has a mean of 19 and a standard deviation of 5.
dangina [55]

Answer:

a) Z = 1.2

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so \mu = 19, \sigma = 5.

(a) Compute the z value associated with 25

This is Z when X = 25

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 19}{5}

Z = 1.2

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when X = 25 subtracted by the pvalue of Z when X = 19.

X = 25 has Z = 1.2, that has a pvalue of 0.8849.

X = 19 has Z = 0, that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when X = 17

Z = \frac{X - \mu}{\sigma}

Z = \frac{17 - 19}{5}

Z = -0.40

Z = -0.40 has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0
2 years ago
a recipe for sweet potato pie calls for 3/4 cup of milk. Martina has 6 cups of milk. How many sweet potato pies can she make wit
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3 years ago
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Answer:

Yes, look at the explanation:

Step-by-step explanation:

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