A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets End of exam of vertical a
2 answers:
Answer:
The resulting acute angles are 35 degrees each.
Step-by-step explanation:
As given, the carpenter intersects two pieces of wood to make two sets of vertical angles. The resulting obtuse angles formed are each 145°.
So, the acute angles can be given by the following formula:
=
=
Hence, the resulting acute angles are 35 degrees each.
We can also check by adding both the obtuse angles and acute angles. The sum will be 360 degrees.
degrees.
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Answer:
The p value would be given by:
For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG
Step-by-step explanation:
Information given
represent the mean
represent the population standard deviation
sample size
represent the value to verify
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean for this case is 46.7, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation the statistic is given by:
(1)
Replacing we got:
The p value would be given by:
For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG