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leva [86]
3 years ago
9

Simplify completely 25 w to the sixth power over 10 w to the third power divided by 30 w squared over 5 w

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

5w^2 over 12 is your answer. hope it helped!

Step-by-step explanation:

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What is the quotient if the dividend is 2286 and the divisor is 6
Anna11 [10]

Answer:

381

Step-by-step explanation:

2,286/6=381

Good luck!

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3 years ago
What is the area of the rectangle?
almond37 [142]
Take a look at the picture i sent you

8 0
3 years ago
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A homeowner policy has a face value of 57,000 with a 975 deductible,
DanielleElmas [232]

The amount of money that the insurance company will pay on a $2410.19 loss is $1435.19Answer:

<u>Explanation:</u>

Given:

Face value = $57,000

Deductible = $975

Loss = $2410.19

Insurance company pay = ?

The amount that insurance company will pay will be

= $2410.19 - $975

= $1435.19

Therefore, the amount of money that the insurance company will pay on a $2410.19 loss is $1435.19

8 0
3 years ago
A boat travels 30 miles due North and then turns and travels 40 miles due
Elan Coil [88]

Answer:

50 miles

Step-by-step explanation:

This represents a 3-4-5 right triangle, where 3-4-5 is the ratio. Multiply those numbers by 10 to get 30-40-50. 30 and 40 are already in the problem, so 50 is the answer.

5 0
2 years ago
A random sample of n = 100 observations is selected from a population with mean 20 and standard deviation 15. What is the probab
hjlf

Answer:

25.14% probability of observing a mean greater than 21

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 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.

In this question, we have that:

\mu = 20, \sigma = 15, n = 100, s = \frac{15}{\sqrt{100}} = 1.5

What is the probability of observing a mean greater than 21?

This is 1 subtracted by the pvalue of Z when X = 21. So

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{1.5}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

1 - 0.7486 = 0.2514

25.14% probability of observing a mean greater than 21

6 0
3 years ago
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