X=the measure of first angle.
Supplementary angle of an angle x=180º-x (the measure of the second angle)
We solve this equation:
x+67.8=180-x
2x=180-67.8
2x=112.2
x=112.2/2
x=56.1
Supplementary angle of 56.1º=180º-56.1º=123.9º
answer: our angles would be 56.1º and 123.9º
Answer:
The appropriate null hypothesis is 
The appropriate alternative hypothesis is 
Step-by-step explanation:
The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.
At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:
At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So
Answer:
9
Step-by-step explanation:
w+13-
=16
w · 
-+13=16
+13=16
=3
w=9
Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
Starting amount = g
Throughout the day 200 pounds is added and 1400 pounds is removed ( 700 x 2 = 1400)
Final weight is 1,100 pounds
g + 200 - 1400 = 1100
Simplify:
g - 1200 = 1100
Add 1200 to both sides:
g = 2300 pounds
