Answer:
X equals 6°.
Step-by-step explanation:
There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.
Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
The critical value = -1.645
c) Calculating the test statistic, we have:


Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.
Answer:
They will need to hire 5 testers.
Step-by-step explanation:
This question can be solved using a simple rule of three.
For each 10 developers, we need 2.5 testers. So how many testers are needed for 20 developers?
10 developers - 2.5 testers
20 developers - x testes




They will need to hire 5 testers.
Answer:
35 ft
Step-by-step explanation:
See attached file for detailed solution of the given.
Point slope form is:
y -

= m(x -

)
With

and

being the coordinate points, and m being the slope.
So the coordinate points are (4, -5), and the slope is -6 in this case.
So just substitute everything in, to get:
y - ( -5) = -6(x - 4)
Or
y + 5 = -6 (x - 4)