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AlekseyPX
3 years ago
13

A person who is 3 m tall casts a shadow that is 6 m long. At the same time, a building

Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

13.5 meters

Step-by-step explanation:

25 / 2 = 13.5

because if a human is 3 meters tall and cast 2 times the length of himself then if a building casts 25 meters then it should be 2 times less than its shadow.

You might be interested in
Here's the revenue and expenses for the month. Calculate whether Mia had a profit or loss.
Oksanka [162]

Answer:350

Step-by-step explanation:

Just take away 9,550 - 9,200 = 350

3 0
3 years ago
IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the p
Masja [62]

Answer:

47.06% of the population has an IQ between 85 and 105.

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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 100, \sigma = 15

What percent of the population has an IQ between 85 and 105?

This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So

X = 105

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

Z = \frac{105 - 100}{15}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

X = 85

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

Z = \frac{85 - 100}{15}

Z = -1

Z = -1 has a pvalue of 0.1587

So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.

5 0
3 years ago
in 2014 there were about 126 million women in the United States, and women were about 51.4% of the total population. what was th
erastova [34]

Answer:

Step-by-step explanation

51.4% of the total population is 126 million

let x be the total population

turn ur percent to a decimal

0.514x = 126,000,000

x = 126 / 0.514

x = 245,136,186.77 <==

6 0
3 years ago
Read 2 more answers
Please help this is due very soon show the steps in how you found the answer
meriva

Answer:

4x-6

Step-by-step explanation:

this is correct ans

4 0
3 years ago
Help me with this plz!,
Pie

Answer:

\frac{12}{27} Simplified version

Step-by-step explanation:

(\frac{4}{5} + \frac{1}{3}) × \frac{5}{9}

The first step would be to add together what is in the parenthesis. Make sure that both fractions have the same denominator. In this problem they don't, so we have to find the least common number that they both have. The number here would be 15. 5 × 3 = 15 and vise versa.

((\frac{4}{5} x \frac{3}{3}) + (\frac{1}{3} x \frac{5}{5})) × \frac{5}{9}

(\frac{12}{15} + \frac{5}{15}) × \frac{5}{9}

(\frac{17}{15} × \frac{5}{9} Multiply straight across (denominators do <u>NOT</u> need to be the same)

\frac{85}{135} = \frac{12}{27}

4 0
3 years ago
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