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3 years ago

Directions: Write the expression for each sentence below.

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:

y-4??

Step-by-step explanation:

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A keyboard that costs $475 is marked down 15% for a sale. How much is the savings.

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The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 20-inch pizzas.

7nadin3 [17]

Answer:

The sample must be of at least 48 pizzas.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample must she take if she wants the margin of error to be under 0.5 inch?

She needs a sample of at least n, in which is found when $M = 0.5, \sigma = 2.1$

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.645*\frac{2.1}{\sqrt{n}}$

$0.5\sqrt{n} = 2.1*1.645$

$\sqrt{n} = \frac{2.1*1.645}{0.5}$

$(\sqrt{n})^{2} = (\frac{2.1*1.645}{0.5})^{2}$

$n = 47.73$

Rounding up

The sample must be of at least 48 pizzas.

3 0

3 years ago

A movie theatre charges adults $10 to see a movie and charges children $6. If there wereq 120 people who saw a movue and the the

forsale [732]

Answer:

The number of adults tickets sold equals 52.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adults tickets sold

y= number of kids tickets sold

10x + 6y= 928

x + y=120

Now, we isolate x in one equation and change it in the other to obtain its value:

x= 120 - y

10(120 - y) + 6y = 928

1,200 - 10y + 6y = 928

272 = 4y

68 = y

x= 120 - 68= 52

8 0

3 years ago