Answer:
<1 = 114° and <2 = 66°
Step-by-step explanation:
The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.
Explanation:
Supplementary angles are two angles with a sum of 180 degrees.
Let the smaller angle = x
If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals
x+48
.
The sum of the two angles is 180, so...
x+x+48=180
Add the variableterms
2x+48=180
Subtract 48 from both sides
2x=132
Divide both sides by 2
2x/2=132/2
x=66
This is the measure of the smaller angle.
The bigger angle = x+48=114
Answer:
Your graph should look something like this:
Step-by-step explanation:
"p(x)" is a fancy way of saying "y". The slope is 4/1. When the y-intercept is not given in the equation, you always assume it is 0.
Hope this helps! Let me know!
The value of x would be:
180-124 so its 56!
Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z=
where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)=
≈ -1.035
For the sample proportion 0.5:
z(0.5)=
≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895