Answer:
Yes, evidence shows that the cream will improve the skin of more than 40% of women over the age of 50 in 0.01 significance level.
Step-by-step explanation:
We need to make a hypothesis test.
Let p be the proportion of women who used cream report skin improvement.
: p=0.4
: p<0.4
To test the hypothesis, we need to calculate z-score of the sample mean and compare its probability with the significance level.
z= where
- p(s) is the sample proportion of women reported improvement (0.5)
- p is the proportion assumed under null hypothesis. (0.4)
- N is the sample size (70)
Putting the numbers:
z= ≈ 1.71
And P(z<1.71) ≈ 0.955. Since 0.955>0.01 we fail to reject the null hypothesis that the cream will improve the skin of more than 40% of women.
Answer:
-3 +2x
Step-by-step explanation:
-10+10x-8x+7
Combine like terms
-10 +7 + 10x -8x
-3 +2x
So just add equation 1 and equation 2
You will get
2x-2x + 5y + 3y = 12 + 4
8y = 16
y = 16/8
y = 2
Substituting y in equation 1
2x + 5*2 = 12
2x + 10 = 12
2x = 12 - 10
x = 2/2
x = 1
=
Answer:
B. 2 seconds, 5 seconds
Step-by-step explanation:
Looking at the graph, you can see that the vertex, or the point where the graph is at it's highest point, is at 2 seconds and a little over 2 meters in height. So, the time the ball reached it's maximum height was 2 seconds. Looking at the x-axis, which shows the overall time of the ball in the air, you see the ball does not reaching the ground (0 meters) until 5 seconds, so the total time in the air is 5 seconds.