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Oduvanchick [21]
3 years ago
13

Simplify this expression: (a^8*a^6)^1/7/a^2

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0
<span><span>Simpliest form is a^2/a^2 to get 1

</span></span>

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The scale of two similar quadrilaterals is 1:4. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perime
ddd [48]
The perimeter is 320. Just multiply 80 times 4 
8 0
3 years ago
Suppose monthly rental prices for a one-bedroom apartment in a large city has a distribution that is skewed to the right with a
omeli [17]

Answer:

a) Nothing, beause the distribution of the monthly rental prices are not normal.

b) 1.43% probability that the sample mean rent price will be greater than $900

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

(a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?

Nothing, beause the distribution of the monthly rental prices are not normal.

(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?

Now we can apply the Central Limit Theorem.

\mu = 880, \sigma = 50, n = 30, s = \frac{50}{\sqrt{30}} = 9.1287

This probability is 1 subtracted by the pvalue of Z when X = 900.

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

By the Central Limit Theorem

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

Z = \frac{900 - 880}{9.1287}

Z = 2.19

Z = 2.19 has a pvalue of 0.9857

1 - 0.9857 = 0.0143

1.43% probability that the sample mean rent price will be greater than $900

8 0
3 years ago
Each base in this right prism-like figure is a semicircle with a radius of 7 cm.
zheka24 [161]

Answer:490pi

Step-by-step explanation:just trust me

5 0
3 years ago
N || 0, and m A) 47°<br> B) 133°<br> C) 180°<br> D) 227°<br> E) 313°
Dvinal [7]

Answer:

180

Step-by-step explanation:

im sure that is 180 so if you did not believe me solve that and be ready for your task and your brain

3 0
3 years ago
How do you close question
atroni [7]
You close a question with a question mark..right?
6 0
3 years ago
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