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4 years ago

Solve for w. 6/9 = w/12 Simplify your answer as much as possible.

1 answer:

8 0

Multiply both sides by 12, which becomes (12*6)/9 = w as the the 12 cancels out on the right side. This becomes 72/9 = w and since 9 goes into 72 8 times, 8 = w

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Solve the system of equations using addition<br> x+y = 3<br> x-y = 1<br> The solution is ( )

Contact [7]

The solution is (2,1)

3 0

4 years ago

The town of manchester (50,000) has the shape of a rectangle that is 5 miles wide and 7 miles long.

Anna [14]

First calculate the area of the rectangle in square miles:

A = L x w 5 x 7 = 35 square miles

Now divided the number of people into the area: 50,000 / 35 = 1,428.57143

Round to nearest whole number of people: 1,429 people per square mile.

To check: 1428.57143 * 35 = 50,000

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4 years ago

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Darla drives at a constant speed of 45 miles per hour.

choli [55]

9 because that is the answer trust me
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3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sa

melisa1 [442]

Answer:

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

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.

In this question:

We need a sample size of at least n.

n is found when M = 3. We have that $\sigma = 18$ .

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

$3 = 1.645*\frac{18}{\sqrt{n}}$

$3\sqrt{n} = 1.645*18$

Simplifying by 3

$\sqrt{n} = 1.645*6$

$(\sqrt{n})^{2} = (1.645*6)^{2}$

$n = 97.41$

Rounding up,

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

8 0

3 years ago

Can someone help me in 5 and 7 please

pav-90 [236]

Write -22 in the middle of the graph, number the rest of the graph accordingly and draw an open circle around the line under the -22 and draw a line along the graph to the right

Write 15 in the middle of the graph and number the rest of the graph accordingly, draw a colored in circle under the 15 on the graph and draw a line to the to the right

Sorry, I'm on the road and couldn't take a picture of the solution

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3 years ago