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zepelin [54]
3 years ago
15

HELP±! FASTWhat is the scale factor?

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

\frac{5}{3}

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal.

To determine the scale factor calculate the ratio of corresponding sides, that is

\frac{NO}{GH} = \frac{15}{9} = \frac{5}{3}

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A video game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $606 a year on
victus00 [196]

Answer:

Multi facets

Step-by-step explanation:

First company surveys best customers so they are highest spending

First company standard deviation is high @ $62 so their spends are $606 a year plus or minus $180 (rounded up)

Second company has a Random sample so includes all customers

Second company has larger number of responses

Second company has a range of plus or minus $40

6 0
3 years ago
In July, the average temperature in one US city was 29 degrees by December, the average temperature had fallen by 29 degrees. Ex
VikaD [51]

Step-by-step explanation:

In July, it was positive 29 degrees, but in December it was negative 29 degrees. When you have 29-29 you get 0. Hope that helped

4 0
3 years ago
Read 2 more answers
The mean of this data set is 9. What number is missing?<br><br> 11,20,_,3,1
kherson [118]
Let the missing number be x

Mean is the total sum of data over the number of data therefore,

(11+20+x+3+1) / 5 = 9
Then simplify
(35 + x) / 5 = 9
Then multiply 5 to both sides
35 + x = 45
Then subtract 35 to both sides to find x
X= 10

Hope this helps!

7 0
2 years ago
Which of the following statements is most correct? Select one:
olga_2 [115]

Answer:a

Step-by-step explanation:

the answer is a because it is

7 0
3 years ago
Read 2 more answers
it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random samp
Lady_Fox [76]

Answer:

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Proportion of 0.6

This means that p = 0.6

Sample of 46

This means that n = 46

Mean and standard deviation:

\mu = p = 0.6

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6*0.4}{46}} = 0.0722

Probability of obtaining a sample proportion less than 0.5.

p-value of Z when X = 0.5. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.5 - 0.6}{0.0722}

Z = -1.38

Z = -1.38 has a p-value of 0.0838

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

8 0
3 years ago
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