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expeople1 [14]
4 years ago
5

Use the properties of exponents to enter an equivalent expression with a single exponent.

Mathematics
1 answer:
Gelneren [198K]4 years ago
5 0

({10}^{2} ) {}^{4}  =  {10}^{2 \times 4}  =  {10}^{8}

I hope this can help you ^_^

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The value of blank divided 40.01 is much less than one?
patriot [66]

Answer:400

Step-by-step explanation: im coo like that

6 0
3 years ago
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9x^2+6x+5=0, solve using the quadratic formula
AleksAgata [21]

Step by step explanation:

9x^{2}+6x+5=0

Uses the "a", "b", and "c" from "ax^{2} + bx + c", where "a", "b", and "c" are numbers

So in this case:

a would be 9

b would be 6

c would be 5

Then plug in from there..

Another way you can do it is using the square method.

8 0
4 years ago
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
Woovis danced with 3/4 of the 24 dogs at the dance. How many dogs did Woovis dance with?
Ksivusya [100]

Answer:18

Step-by-step explanation:24/3/4 =18

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3 years ago
A video games originial price was 55$ it is 30% off. What is the new price?
Ahat [919]

Answer: $38.50

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