Answer:
The 95% confidence interval is ( 27.126 , 34.674)
Step-by-step explanation:
Given
The t critical value at 0.05 level = 2.023 for the df = 39
Confidence interval = 95%
Mean

Substituting the given values we get -

Hence, the 95% confidence interval is
( 27.126 , 34.674)
Answer:
They are equal x = 110
Step-by-step explanation:
Answer:
The envelop is 15.49 inches tall
Step-by-step explanation:
To find how tall the envelop is, we will follow the steps below;
We can use Pythagoras theorem formula to find the height of the envelop'
adjacent =width of the envelop= 11 inches opposite= height (h) of the evelope = h and hypotenuse = diagonal of the envelop= 19 inches
Using Pythagoras theorem;
opposite² + adjacent² = hypotenuse²
h² + 11² = 19²
h² + 121 = 361
subtract 121 from both-side of the equation
h² + 121-121 = 361-121
h² = 240
Take the square root of both-side
√h² =√ 240
h≈15.49 inches
The envelop is 15.49 inches tall
9514 1404 393
Answer:
(-1, 3)
Step-by-step explanation:
The midpoint is the average of the end points.
M = (H +K)/2
M = ((-4, 10) +(2, -4))/2 = (-4+2, 10-4)/2 = (-2, 6)/2
M = (-1, 3)
The coordinates of the midpoint are (-1, 3).
Answer:
How many One-sixths are in Two-thirds?
Step-by-step explanation: