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hammer [34]
3 years ago
12

Which angles are consecutive interior angles?

Mathematics
1 answer:
fredd [130]3 years ago
5 0
YXU and VUX are consecutive interior angles
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In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

p = 0.82, n = 225.

So

\mu = 0.82

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

7 0
3 years ago
Read 2 more answers
Isabella purchased 3 books from the book store. She now owns 11 books that she wants to read before the end of the year. If x re
Vesna [10]
The answer is X = 11 - 3. This is because to calculate the original value of how many books Isabella had, you have to take away the amount purchased from the overall total amount. Therefore, the equation is x = 11-3
4 0
3 years ago
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additiona
11111nata11111 [884]

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

3 0
2 years ago
Which of the following choices translates the sentence “the difference of three times a number and 20 is 13”?
evablogger [386]

Answer:

3x - 20 = 13

Step-by-step explanation:

1. The word is signals the equal sign.

The difference of three times a number and 20 = 13

2. The word difference signals subtraction.

3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.

4. Three times that number = 3x.

The difference = subtraction.

3x-20=13

8 0
3 years ago
Read 2 more answers
Proving triangle similarity given QR PT and QPR STR prove PQR TSR
Vikki [24]

Answer:

1. QR- PT given

2. <QPR=<STR given

3. <QRP and <SRT (are right angles) def. of perpendicular

4. <QRP = <SRT all right angles are =

5. PQR~ TSR AA similarity theorem

Step-by-step explanation:

edge 2021

3 0
3 years ago
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