Answer:
The 95% confidence interval based on this sample is =
[6.41, 7.79]
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Sample mean = 7.1 hours
Standard deviation = 5 hours
n = 200 students
z = 95% confidence interval z score
= 1.96
C.I = 7.1 ± 1.96 × 5/√200
C.I = 7.1 ± 0.693
Hence, Confidence Interval
= 7.1 - 0.693
= 6.407
Approximately = 6.41
= 7.1 + 0.693
= 7.793
Approximately = 7.79
Therefore, the 95% confidence interval based on this sample is
[6.41, 7.79]
Answer
Find out the what fraction of the sandcastle did they build together .
To prove
Let us assume that the fraction of the sandcastle they build together be x .
As given


Than the equation becomes

L.C .M of (3,7) = 21
solving


Therefore the fraction of the sandcastle did they build together be

Hence proved
Answer:-0.125 or 1/8
Step-by-step explanation: :)
Answer:
Angle Z is 33.
Step-by-step explanation:
Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.
Answer:
- Tamara needs to cover a total of <u>476</u> square feet.
- Tamara <u>will</u> have enough material to cover all four walls.
Step-by-step explanation:
If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...
P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet
The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...
A = PH = (39 2/3 ft)(12 ft) = 476 ft²
Tamara needs to cover a total of <u>476</u> square feet.
__
If Tamara orders 480 square feet of material, ...
Tamara <u>will</u> have enough to cover all four walls.