There are 12 costumes for a play that

Mathematics

1 answer:

Sergio [31]3 years ago

5 0

Each costume gets 4.67 yards of blue fabric and 2.25 yards of red fabric.

Step-by-step explanation:

Given,

Total costumes = 12

Blue fabric = 56 yards

Red fabric = 27 yards

One costume contains blue fabric;

1 Costume = $\frac{Total\ fabric}{No.\ of\ costumes}$

1 costume = $\frac{56}{12} = 4.67\ yards$

One costume contains red fabric;

1 costume = $\frac{27}{12}=2.25\ yards$

Each costume gets 4.67 yards of blue fabric and 2.25 yards of red fabric.

Keywords: Division

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

Whitepunk [10]

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.

Let $\bar X$ = sample mean weight of the pepperoni.

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)