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3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x. 80° 39

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:

61 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees. We already know 80 and 39. 80+39 is 119. 180-119+61

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Step-by-step explanation:

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3 years ago

A trucking firm suspects that the mean lifetime of a certain tire it uses is more than 30,000 miles. To check the claim, the fir

grandymaker [24]

Answer:

We conclude that the lifetime of tires is less than 30,000 miles.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30,000 miles

Sample mean, $\bar{x}$ = 29,400 miles

Sample size, n = 54

Alpha, α = 0.05

Population standard deviation, σ =1200 miles

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ miles}\\H_A: \mu < 30000\text{ miles}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{29400 - 30000}{\frac{1200}{\sqrt{54}} } = -3.6742$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the lifetime of tires is less than 30,000 miles.

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3 years ago