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2 years ago

What is the value of x, if 105% of 90 is equal to 200% of x?

Mathematics

2 answers:

quester [9]2 years ago

8 0

X = 47.25 because 105/200 equals 0.525. 0.525 times 90 equals 47.25

lisov135 [29]2 years ago

7 0

From the given equation

105% * 90 = 200% * x

105/100 * 90 = 200/100 * x

105*90 = 200*x

x = 105*90/200

X = 21*9/4

X = 189/4

x = 47.25

Value of x = 47.25 or 47 1/4

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In this problem, we have that:

The population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch. This means that $\mu = 120, \sigma = 0.05$ .

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We are working with the sample mean, so we use the standard deviation of the sample, that is, $s$ instead of $\sigma$ in the z score formula.

This probability is the pvalue of Z when $X = 120.0125$ subtracted by the pvalue of Z when $X = 119.985$ .

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