Answer:
Angle A = 97.5º
Step-by-step explanation:
Supplmentary means 2 angles that equal 180º. So we already have 1 angle, so now all we have to do is subtract 82.5 from 180.
180 - 82.5 = 97.5
Answer:
a. We reject the null hypothesis at the significance level of 0.05
b. The p-value is zero for practical applications
c. (-0.0225, -0.0375)
Step-by-step explanation:
Let the bottles from machine 1 be the first population and the bottles from machine 2 be the second population.
Then we have
,
,
and
,
,
. The pooled estimate is given by
a. We want to test
vs
(two-tailed alternative).
The test statistic is
and the observed value is
. T has a Student's t distribution with 20 + 25 - 2 = 43 df.
The rejection region is given by RR = {t | t < -2.0167 or t > 2.0167} where -2.0167 and 2.0167 are the 2.5th and 97.5th quantiles of the Student's t distribution with 43 df respectively. Because the observed value
falls inside RR, we reject the null hypothesis at the significance level of 0.05
b. The p-value for this test is given by
0 (4.359564e-10) because we have a two-tailed alternative. Here T has a t distribution with 43 df.
c. The 95% confidence interval for the true mean difference is given by (if the samples are independent)
, i.e.,
where
is the 2.5th quantile of the t distribution with (25+20-2) = 43 degrees of freedom. So
, i.e.,
(-0.0225, -0.0375)
Answer:
I think it's x=-12 for the buttom one
Step-by-step explanation:
I think when you get open equations like these you would asume 1 is there so rewrite it as 2x + 25 = 1
so take the 25 away from 1. to do that we need to do the opisite of +
2x + 25 = 1
1 - 25 = -24
rewrite
2x = -24
take the 2 away. oppisite of mulitplication is division. so divide 2 by -24
-24 divided by 2 = -12
Hope this helps! Please mark as brainliest! Thanks! If you need me to solve the top one too, I'll do it! Just comment bellow. :D
Answer:
The answer is 5 1/3 or five one thirds
To solve a problem like this, we can setup a basic algebraic equation.
52+14=x
66=x
We know this equation is true because 14 years ago, she was 52 so 14 years later, she is 66.