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madreJ [45]
4 years ago
12

The owner of the pizza chain wants to monitor the total weight of pepperoni. Suppose that for pizzas in this population, the wei

ghts have a mean of 250g and a standard deviation of 4g. Management takes a random sample of 64 of these pizzas and calculates the mean weight of the pepperoni on the pizzas. Assume that the pizzas in the sample are independent. What is the probability that the mean weight of the pepperoni from the sample of 64 pizzas is greater than 251g
Mathematics
1 answer:
Whitepunk [10]4 years ago
4 0

Answer:

The probability that the mean weight of the pepperoni from the sample of 64 pizzas is greater than 251 g is 0.02275.

Step-by-step explanation:

We are given that the owner of the pizza chain wants to monitor the total weight of pepperoni. Suppose that for pizzas in this population, the weights have a mean of 250 g and a standard deviation of 4 g.

Management takes a random sample of 64 of these pizzas.

<u><em>Let </em></u>\bar X<u><em> = sample mean weight of the pepperoni.</em></u>

The z score probability distribution for sample mean is given by;

                                Z =  \frac{X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean weight = 250 g

            \sigma = standard deviation = 4 g

            n = sample of pizzas = 64

Now, the probability that the mean weight of the pepperoni from the sample of 64 pizzas is greater than 251 g is given by = P(\bar X > 251 g)

   P(\bar X > 251 g) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{251-250}{\frac{4}{\sqrt{64} } } ) = P(Z > 2) = 1 - P(Z \leq 2)

                                                     = 1 - 0.97725 = 0.02275

<em>The above probabilities is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.</em>

<em />

Hence, the probability that the mean weight of the pepperoni from the sample of 64 pizzas is greater than 251 g is 0.02275.

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The square root of 1536 is equal to 39.19

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If CF = 5, CD = 12, and EF = 5, what is the perimeter of triangle CDE?
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3 years ago
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Answer:1

1. x = 30

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula(n-2)\cdot 180, a 4 sided figures angles will add up to

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This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

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Combine like terms:

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We know now substitute x for 30 in for all of the side lengths.

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∠DAB = 3x = 3\cdot 30 = 90°

Hope this helped!

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3 years ago
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