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bearhunter [10]
3 years ago
15

What is the altitude of a rhombus if its area is 50 square meters and the length on one side is 12.5 meters

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0
It’s 8 meters or 4 meters !
SVETLANKA909090 [29]3 years ago
3 0

<u>Answer:</u>

8 meters or 4 meters

<u>Step-by-step explanation:</u>

We know that for finding the area of a rhombus, there are two diagonal sides: one of which is 12.5 meters in length and the other one we'll assume to be y.

Then, we can write:

Area of rhombus = \frac{1}{2} *12.5*y

50=\frac{1}{2} *12.5*y

y=\frac{100}{12.5}

y=8 meters

If the sides of the rhombus are not internally diagonal, then we can simply use the following formula:

Area of rhombus = altitude * side

50=a*12.5

a=4 meters

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Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

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<em>Let </em>\bar X<em> = sample mean</em>

The z-score probability distribution for sample mean is given by;

               Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

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            n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P(\bar X > $52,000)

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                                                                    = 1 - 0.9943 = 0.0057

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

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