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bogdanovich [222]

2 years ago

14

Given a dilation where k=2, would the image be an enlargement or a reduction?

1 answer:

stepan [7]2 years ago

5 0

For this case we have the following possible cases:

Case 1:
If the scale factor meets 0 <k <1 then the original figure shows a reduction.

Case 1:
If the scale factor complies with k> 1 then, the original figure presents an expansion.

In this case, the scale factor is:
k = 2 (k> 1)
Therefore, the figure presents an expansion.

Answer:
b) Enlargement

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne

Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that $n = 533, \pi = \frac{351}{533} = 0.6585$

90% confidence level

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923$

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0

2 years ago

Evaluate x(y+3)/(3+y)z for x=12, y=1, and z=6.<br><br> A) 2<br><br> B) 5<br><br> C) 8<br><br> D) 6

fgiga [73]

Answer:

2

Step-by-step explanation:

We take the equation

$x(y+3)/(3+y)z$

and substitute the values for each individual variable in the problem. It looks like this:

$12(1+3)/(3+1)6$

Now we can solve the equation.

When solved, it equals 2.

5 0

2 years ago

Read 2 more answers

Junior's brother is 1 1/2

AlladinOne [14]

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters

= (1+1/5) x (1+1/2)

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2

= 1 + 1/2 + 1/5 + 1/10

= 1 + (1x5+1x2+1)/10

= 1 8/10

= 1 4/5 meters

6 0

2 years ago

WILL GIVE BRAINLIEST

Elenna [48]

Answer:

C is correct

Step-by-step explanation:

do you know why? haha

5 0

2 years ago

The probability distribution histogram shows the number of days a book is checked out of a library. Find P(3 ≤ X < 12)

grin007 [14]

0.4 is your answer your welcome

4 0

3 years ago