In this case, the vector is passing through a right angle as shown with the little square on the left side. (all right angles equal 90 degrees) so you would simply subtract 64 from 90. (90 - 64 = 26) so x equals 26 degrees.
Answer:
Part a: So the number of business owners giving holiday gift to their employees from survey is 12.
Part b: p-value is 0.00003
Part c: value of p is less that a we reject the null hypothesis.
Step-by-step explanation:
Part a
number of business owners=20% x n
number of business owners= 0.2x 60
number of business owners=12
Part b
H0: p=0.46
H1: p<0.46
Here
n=60,
=0.2, p=0.46
So test statistics is given as

p-value is P(z<-4.04)= 0.00003
Part c
As value of p is less that a we reject the null hypothesis.
Answer:
19 is B
Step-by-step explanation:
7/8 x 8x = 7x
7/8 x 16 = 14
P (smaller) : P (larger) = 5 : 8
P (larger) = 72 in
P s : 72 = 5 : 8
8 P s = 72 * 5
8 P s = 360
P s = 360 : 8
P s = 45 in
Answer:
The perimeter of the smaller rectangle is 45 inches.