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2 years ago

Who made an error? The correct scale factor= ?

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

4 0

Answer:

reggie made an error

the correct scale factor is 2/3

Step-by-step explanation:

we want to get from A to A', B to B', and ultimately C to C'

to get there, we must multiply each value in each point by the scale factor.

let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A

for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor

now, onto hillary's scale factor of 2/3

for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error

the correct scale factor is thus hillary's: 2/3

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Answer:

Range:

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3 years ago

A 180 pound person is hanging onto a 15-foot rope. Assuming the rope is uniform and that it weighs 2 pound per foot, set up (but

aleksklad [387]

Answer:

The answer is "g= 32 FPS"

Step-by-step explanation:

Given value:

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by solving the value we get the value of g that is equal to 32.

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2 years ago

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

3 years ago

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expeople1 [14]

Answer:

$Y=(\frac{4}{7}) x+2$

Step-by-step explanation:

$Y=mx+b$

$M=\frac{x2-x1}{y2-y1}$

$M=\frac{0-(-4)}{-10-3}$

$M=\frac{-4}{-7}$

$Y=(\frac{4}{7}) x+2$

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3 years ago

A salesperson earns $350.25 per week plus 12% of her weekly sales. Which of the following describes the sales necessary for the

Lynna [10]

Let X describes the sales

350.25+0.12x=800.5
Now solve for x
0.12x=800.5-350.25
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X=450.25÷0.12
X=3,752.08

the sales necessary for the salesperson to earn at least $800.50 in one week is 3,752.08

5 0

3 years ago