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3 years ago

A city has 5 houses for every 8 old houses. If there are 35 new houses in the city, how many old houses are there?

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Answer:

56 old houses

Step-by-step explanation:

For every 8 old houses there are 5, so there are 3 more.

For this reason, if there are 35 houses, it means that there are 5 times the houses.

So if we multiply 3 by 5 (which is the difference between old and new houses) it would give 21, which when adding it to 35 gives 56

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If 4/5 of the population of a certain town is

kkurt [141]

Hi! I'm happy to help!

Our town is composed of 2,000 people. Of those 2,000 people, 4/5 of them are middle class. The word 'of' usually means multiplication when it is in a word problem. So, we will multiply 2,000 by 4/5. When multiplying a whole number, we just multiply it by the numerator (top) and leave the denominator. (bottom)

2,000×4

8,000

8,000/5

Fractions are just a different way of putting division, so we can change this to a division problem:

8,000÷5=

1,600

1,600 of the people are middle class.

I hope this was helpful, keep learning! :D

8 0

3 years ago

Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to o

vladimir2022 [97]

Answer:

x = 63.6

Step-by-step explanation:

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 and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.

In this problem, we have that:

$\mu = 38, \sigma = 11$

Find a value of x that has area 0.01 to its right

This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.

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

$2.3267 = \frac{X - 38}{11}$

$X - 38 = 11*2.3267$

$X = 63.6$

So x = 63.6

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3 years ago

Devon is trying to find the unit price on a 6-pack of drinks on sale for 2.99$. His sister says that at that price, each drink w

Andrew [12]

She is not correct, because $3.00 divided by 6 is 50 cents, so by using that equation she could evaluate that she is wrong and find the correct answer.

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3 years ago

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State the appropriate null and alternate hypothesis

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The null hypothesis states that a population parameter is equal to a hypothesized value. the alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis

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Raphael wants to buy a new car. He needs a down payment of $3000 if he saves $340 a month about how many months will it take him

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