Answer:
54.5°
Step-by-step explanation:
You know that in a right triangle, the sine of an angle is given by ...
Sin = Opposite/Hypotenuse
sin(D) = EF/ED = 57/70
The inverse sine function is used to find the angle:
∠D = arcsin(57/70)
∠D ≈ 54.5°
6x + 9 < 63
Subtract 9 from both sides.
6x < 54
Divide 6 by both sides.
x < 9
Answer:
There is no sufficient evidence to reject the company's claim at the significance level of 0.05
Step-by-step explanation:
Let
be the true mean weight per apple the company ship. We want to test the next hypothesis
vs
(two-tailed test).
Because we have a large sample of size n = 49 apples randomly selected from a shipment, the test statistic is given by
which is normally distributed. The observed value is
. The rejection region for
is given by RR = {z| z < -1.96 or z > 1.96} where the area below -1.96 and under the standard normal density is 0.025; and the area above 1.96 and under the standard normal density is 0.025 as well. Because the observed value 1.4583 does not fall inside the rejection region RR, we fail to reject the null hypothesis.
No its not the same.
Maurice walked 1 mile in 22 mins
Monica walked 1 mile in 20 mins