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alisha [4.7K]
3 years ago
11

Jay is buying pumpkins at a pumpkin patch to decorate his front porch. The pumpkins are $3.50 each and he wants to spend less th

an $25. Write an inequality that represents how many pumpkins, p, Jay can buy.
Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that:

Let x represent the number of pumpkins that can be purchased for $25

The cost of a particular pumpkin to decorate a porch = $3.50

The amount to be spent on pumpkins by Jay is x < $25

Thus,

With such an amount;

Jay would be able to buy $25/$3.50 = 7 pumpkins

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Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

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In this problem:

  • Mean of 5m, hence \mu = 5.
  • Standard deviation of 2 cm, hence \sigma = 0.02

To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:

z = \frac{0.0515}{0.02}

z = 2.575

The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.

Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.

0.995 - 0.05 = 0.99

Out of 500 measurements:

(0.99)500 = 495

495 readings fall within 5.15cm of the mean value.

A similar problem is given at brainly.com/question/24663213

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