Answer:
x = 10
PQ = 27
QR = 20
Step-by-step explanation:
You can add up PQ and QR and set it equal to PR. Solve for x.
(2x + 7) + (2x) = 47
2x + 7 + 2x = 47
4x + 7 = 47
(4x + 7) - 7 = 47 - 7
4x = 40
4x/4 = 40/4
x = 10
Now, use the solved x-value to find PQ and QR.
PQ = 2x + 7
PQ = 2(10) + 7
PQ = 20 + 7
PQ = 27
QR = 2x
QR = 2(10)
QR = 20
Answer:
61
Step-by-step explanation:
(2x + 3) + (x - 6) = 180
3x - 3 = 180
3x = 183
x = 61
Answer:
The confidence interval for the true mean calorie content is

Step-by-step explanation:
In this problem we know the mean and standard deviation fo the sample, so we can compute the CI like this:

We need to determine t for 10-1=9 degrees of freedom and 99% confidence level. We look up in the t-table and the value for t is 3.2498.
Then we can calculate the limits of the CI:
