Answer:
So the value of the test statistic is -0.85.
Step-by-step explanation:
We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.
We get that:

We calculate the standar deviation:

We calculate the value of the test statistic:

So the value of the test statistic is -0.85.
Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons :
...(i)
Total cost :
...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).



Divide both sides by -4.

Therefore, the number of children is 5.
Answer:
A
Step-by-step explanation:
RT=12
TU=5
RU=12+5=17
RS=17+7=24
SU=√(RS²-RU²)=√(24²-17²)=√(24-17)(24+17)=√(7×41)=√287
area=1/2×12×√287=6×√287≈101.6 unit²
Answer:
8 times
Step-by-step explanation:
We know that the radius of smaller sphere is r,
The volume of sphere is given by:

where V_1 is the volume of the small sphere.
As we know that the radius of large sphere is double of the smaller sphere, the radius of large sphere will be 2r
Let V_2 be the volume of large sphere

Separating 8 aside

We can see that the volume of large sphere is eight times the volume of small sphere ..