Answer:
1/4
Step-by-step explanation:
Step 1: Find the GCF. List out the factors of the numerator and the denominator. 1, 3, 9 are the factors of 9, while 1, 2, 3, 4, 6, 9, 12, 18, and 36 are the factors of 36. 9 is a common factor of both of them, so the GCF is 9.
Step 2: Divide the numerator and denominator by 9 (the GCF). 9/9 is 1. 36/9 is 4. This means that our fraction is 1/4. The fraction is in simplest form.
Answer:
y ≈ 32.0°
Step-by-step explanation:
Since the triangle is right use the sine ratio to find y
sin y =
=
, thus
y =
(
) ≈ 32.0° ( nearest tenth )
Answer:
C.
and 
Step-by-step explanation:
The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.
Hope it helps!
Answer:
1 and 4/35
Step-by-step explanation:
Use distribution property to solve:
6/5 × -5/7 -3/4 -5/7 × 4/5 = -5/7 ( 6/5 - 3/4 ) x 4/5 = -5/7 ( 24/20 - 15/20 ) x 4/5 = -5/7 (-39/20) x 4/5 = 780 / 700 = 1 4/35
Answer:
Check the explanation
Step-by-step explanation:
Going by the first attached image below we reject H_o against H_1 if obs.
here obs.T=1.879

we accept
at 5% level of significance.
i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.
1.
this problem is simillar to the previous one except the alternative hypothesis.
Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.
we assume that
independently
We want to test 
define 
now 
the hypothesis becomes

in the third attached image, we use the same test statistic as before
i.e at 5% level of significance there is not enough evidence to indicate a difference in average bonuses .