Answer:
w = 48
w = 196
Step-by-step explanation:
Width = w
Length = l = 4 + 4w
Use the values for length and width above along with the given value for perimeter in the formula for perimeter.
P = 2l + 2w
488 = 2(4 + 4w) + 2w
488 = 8 + 8w + 2w
488 = 8 + 10w
488 - 8 = (8 + 10w) - 8
480 = 10w
(480)/10 = (10w)/10
48 = w
w = 48
The width is 48 yards. Use this value to solve for length.
l = 4 + 4w
l = 4 + 4(48)
l = 4 + 192
l = 196
The length is 196 yards.
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:
1.6
this is a rational number, since it can be written in fraction form, however it is not an integer because it is a decimal number and not a whole number.
Answer:
The answer is 2/5.
Step-by-step explanation:
<span> Write an exponential growth function to model the situation. A population of
422,000 increases by 12% each year.
2. Describe the transformations (from the parent function) of this exponential
function: y=3(2^x-1)+1
3. Find the inverse function of g(x)
g(x)=7x+18/2</span>