What is the value of x

Mathematics

1 answer:

azamat3 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is

$\frac{10}{5x+10}$ = $\frac{11}{121}$ = $\frac{1}{11}$ ( cross- multiply )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

You might be interested in

The average adult gets 7.45 hours of sleep each night, with a standard deviation of 0.65 hours. A pharmaceutical company develop

eduard

Answer:

At least 8.96 hours of sleep to be in the top 1%.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 7.45, \sigma = 0.65$