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3 years ago

Find the measure of the indicated angle

Mathematics

2 answers:

aniked [119]3 years ago

7 0

Answer:

Step-by-step explanation:

180-(90+33)=57

90-57=33

180-(120+33)=27

vampirchik [111]3 years ago

5 0

Answer:

? = 27

Step-by-step explanation:

Keep in mind that all angles in a triangle equal 180

Add up all the known angles in triangle 1

90 + 33 = 123

and subtract it by 180 to find the third angle

180 - 123 = 57

then subtract 57 by 90 to find the other side of 90 degree angle the to triangles share

90 - 57 = 33

next add the angle we just found by 120

120 + 33 = 153

finally subtract 180 by 153

180 - 153 = 27

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Step-by-step explanation:

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3 years ago

A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars

motikmotik

Answer:

$t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value for this case is given by:

$p_v =P(t_{(7)}$

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

Step-by-step explanation:

Information given

$\bar X=25.5$ represent the sample mean

$s=1$ represent the sample standard deviation

$n=8$ sample size

$\mu_o =26$ represent the value to verify

$\alpha=0.06$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value

Hypothesis to est

We want to test if the true mean is at least 26 mpg, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25.5$

Alternative hypothesis: $\mu < 25.5$

The statistic for this case is given by;

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value for this case is given by:

$p_v =P(t_{(7)}$

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4 years ago