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Drupady [299]
3 years ago
10

A sequence of a translation and a reflection_________has a point that does not

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

i think its A im not to sure but i hopeit helps

Step-by-step explanation:

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Public health officials claim that people living in low income neighborhoods have different Physical Activity Levels (PAL) than
Naddika [18.5K]

Answer:

The z-score for this data is Z = -0.26.

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}}

This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55.

This means that \mu = 1.65, \sigma = 0.55

A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.

This means that n = 51, X = 1.63

Using a one-sample z test, what is the z-score for this data

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

By the Central Limit Theorem

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

Z = \frac{1.63 - 1.65}{\frac{0.55}{\sqrt{51}}}

Z = -0.26

The z-score for this data is Z = -0.26.

4 0
3 years ago
What number is 0.4% of 82.1?
STALIN [3.7K]
0.4% / 100 =0.004
0.004 x 82.1 = 0.3284
5 0
4 years ago
Simify the following expression (show work ) IF YOU CAN
Mashutka [201]

(4d)(6d)(0.25d)=d^3[(4)(6)(0.25)]=\boxed{6d^3}

5 0
2 years ago
a company's income before interest expense and taxes is $250,000 and its interest expense is $100,000. its time interest earned
meriva

Answer:

Its times interest earned ratio is 2.5

Step-by-step explanation:

Math explanation: 250,000 divided by 100,000 is 2.5

Economic explanation: The amount of FICA tax that employers must pay is twice the amount of the FICA taxes withheld from their employees.

8 0
4 years ago
What is the value of f(–1) when f(x) = 2x + 2?<br><br> f(–1) =
EleoNora [17]

Answer:

-3/2 = f

Step-by-step explanation:

f(-1) =2x+2

-1f=2x+2

-1f-2=2x

-3=2x

-3/2=x

4 0
3 years ago
Read 2 more answers
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