Answer:
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.7247
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48
The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Easy peasy
slope intercept form is y=mx+b where m=slope
we see taht we have y=7/2x-2
therefor m=slope=7/2
the slope is 7/2
Answer:
a = 25 , b = 14
Step-by-step explanation:
For A
a/5 + 3 = 8
a/5 = 8 - 3
a/5 = 5
Cross multiply
a = 5 * 5
a = 25
For B
3b/7 - 1 = 5
3b/7 = 5 + 1
3b/7 = 6
Cross multiply
3b = 42
b = 42 / 3
b = 14
Hope it will help
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x=
x=<u />
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
Let y = the distance between the top left corner and the bottom right corner
y^2 = 24^2 + 15^2
y^2 = 801
y = 3 * sqrt(89)
Now we can find x.
12^2 + x^2 = (3 * sqrt(89))^2
x^2 = 657
x = 3 * sqrt(73) or 25.63