Solve for x in the diagram below

Mathematics

2 answers:

bearhunter [10]2 years ago

6 0

Answer:

x = 15

Step-by-step explanation:

4x is the vertical angle to the sum of 45 and 15 so they are equal

4x = (45+15)

4x = 60

Divide each side by 4

4x/4 = 60/4

x = 15

vitfil [10]2 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

4x is congruent to 45 + 15

4x = 45 + 15

simplify 4x = 60

divide both sides by 4 x = 15

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8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators

Kitty [74]

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55$