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maxonik [38]
2 years ago
6

Evaluate the expression 4 1/2 ÷ 3/4

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer: 6

Step-by-step explanation:

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The two sides of a right triangle differ by one. If the hypotenuse is 29 cm, then determine the
erma4kov [3.2K]

Answer:

Let the sides be a and b

a^2 + b^2 = c^2 = 29^2 = 841

a^2 + (a + 1)^2 = 841

a^2 + a^2 + 2 a + 1 = 841

2 a^2 + 2 a = 840

a (a + 1) = 420

21 * 20 = 420     trial and error

So the sides are 20 and 21

20^2 + 21^2 = 29^2

3 0
3 years ago
A population has mean 187 and standard deviation 32. If a random sample of 64 observations is selected at random from this popul
Zina [86]

Answer:

11.51% probability that the sample average will be less than 182

Step-by-step explanation:

To solve this question, we have 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, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 187, \sigma = 32, n = 64, s = \frac{32}{\sqrt{64}} = 4

What is the probability that the sample average will be less than 182

This is the pvalue of Z when X = 182. So

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

By the Central Limit Theorem

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

Z = \frac{182 - 187}{4}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that the sample average will be less than 182

8 0
3 years ago
A $900 notebook computer is discounted 5% what is the sale price of a notebook computer
fenix001 [56]

The sale price of computer is $855

Step-by-step explanation:

First of all the discount is calculated and then subtracted from the original price to calculate the sale price

Given

price of notebook computer = $900

Discount = 5%

So,

Discount = 5\%\ of\ 900\\= 0.05 * 900\\= \$45

Now,

Sale\ price = Original\ price - Discount\\= 900-45\\=855

Hence,

The sale price of computer is $855

Keywords: Discount, percentage

Learn more about percentage at:

  • brainly.com/question/5873564
  • brainly.com/question/5798698

#LearnwithBrainly

5 0
3 years ago
Picture of female reproducitve part​
Sophie [7]
I don’t understand this question
4 0
3 years ago
9.<br> Kyle ran 150 feet in 15 seconds, how many hours would it take him to<br> run 30 miles?
PtichkaEL [24]
She runs 30 miles in 3 seconds
8 0
3 years ago
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