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3 years ago

5

A rectangle has a length of 11" and a width of 8.5" this rectangle is dilated by a scale factor of 2.2 to create a new rectangle

which figure represents the new rectangle

1 answer:

KonstantinChe [14]3 years ago

7 0

The width is 18.7in because you multiply 2.2 by 8.5 in. And the length is 24.2in because you multiply 2.2 by 11 also.

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In order to set rates, an insurance company is trying to estimate the number of sick days that full-time workers at an auto repa

kotegsom [21]

Answer: 31

Step-by-step explanation:

Formula to find the sample size is given by :_

$n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where z*= critical value corresponds to confidence level.

$\sigma$ = population standard deviation.

E= Margin of error.

As per given , we have

$\sigma=2.8$

E=1

We know that critical value corresponding to 95% confidence level = z*=1.96

Then, the required sample size would be :

$n=(\dfrac{(1.96)\cdot (2.8)}{1})^2$

$n=(5.488)^2$

$n=30.118144\approx31$

Hence, the required minimum sample size = 31

3 0

4 years ago

Solve for a... u=k/a

Bond [772]

First, to multiplying by a from the both sides.

au=k

Secondly, to divide by u from the both sides.

au/u as a fraction, and it equals to k/u as a fraction.

it equals a=k/u.

Answer is A. a=k/u.

3 0

4 years ago

Read 2 more answers

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

Alona [7]

$\displaystyle \\ 
\text{We use the following equation:} \\ \\ 
 \frac{n}{2} = n - 38 \\ \\ 
We solve for n: \\ \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\ \\ 
n = 2 \times n - 2 \times 38 \\ \\ 
n = 2n - 76 \\ \\ 
2n - n = 76 \\ \\ 
\boxed{n = 76} \\ \\ 
\text{Verification: } \\ \\ 
\frac{n}{2} = n - 38 \\ \\ 
\frac{76}{2} = 76 - 38 \\ \\ 
\boxed{38 = 38 ~~~ Correct }$

8 0

4 years ago

What is the frequency of the sinusoidal graph?

FrozenT [24]

Answer:

$\boxed{f=\dfrac{3}{2\pi}}.$

Step-by-step explanation:

Notice that the wave completes 3 oscillations at $x=2\pi$ . This means that the period is:

$T = \dfrac{2\pi}{3}.$

Since the frequency is the reciprocal of the period, we get:

$f= \dfrac{1}{T} = \dfrac{1}{2\pi/3} = \dfrac{3}{2\pi}.$

So the frequency is:

$\boxed{f=\dfrac{3}{2\pi}}.$

5 0

4 years ago

Question 14 options: The personnel department of a large corporation wants to estimate the family dental expenses of its employe

never [62]

Answer:

The sample mean is of 266.5 dollars.

Step-by-step explanation:

Sample mean:

The sample mean is given by the sum of all values in the sample divided by the number of values.

In this question:

12 values.

The sum is:

115 + 370 + 250 + 93 + 540 + 225 + 177 + 425 + 318 + 182 + 275 + 228 = 3198

The sample mean is:

$S = \frac{3198}{12} = 266.5$

The sample mean is of 266.5 dollars.

3 0

3 years ago