Answer:
(-11, 1)
Step-by-step explanation:
moving to the left by 4 means -7 - 4 = -11
up one unit changes the 0 to 1
ABC is a isosceles triangle
AC = BC
so
<A = <B
2x - 20 = x + 8. solve for x
subtract x to both sides
2x - 20 - x = x + 8 - x
x - 20 = 8
add 20 to both sides
x - 20 + 20 = 8 + 20
simplify
x = 28
<A = <B = 28 + 8 = 36
<C = 180 - 2(36)
<C = 180 - 72
<C = 108
Answer
B. 108 degrees
Answer:
The 95% confidence interval for the mean weight per apple is between 119.14 and 125.86 grams per apple. This means that we are 95% sure that the true mean weight per apple for all the apples they ship is between 119.14 and 125.86 grams per apple.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 122.5 - 3.36 = 119.14 grams per apple
The upper end of the interval is the sample mean added to M. So it is 122.5 + 3.36 = 125.86 grams per apple
The 95% confidence interval for the mean weight per apple is between 119.14 and 125.86 grams per apple. This means that we are 95% sure that the true mean weight per apple for all the apples they ship is between 119.14 and 125.86 grams per apple.
Answer:
x-9
Step-by-step explanation:
"Less than" switches the way of the expression.
If the "less than" was not there it would have been:
9-x
"Less" means subtract so you would subtract x from 9.
Hope this helped!