Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Margin of error = 0.5 years
Standard deviation = 5
At 90% confidence, z = 1.645
We need to find the minimum size of the sample they must take.
So,

Hence, Option 'd' is correct.
24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88
Here are all the factors.^^
The common factors are 1,2,3,4,6
Hope this helps!
we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that

in this problem

so

Step 
Find the measure of angle A

therefore
the answer is the option
35.5° and 54.5°
Answer:
(-3, 3) and (8, -8)
Step-by-step explanation:
having the rule (x + 3, y – 5) and an input point (x,y) you just plu th iput point into the rule and you will get the output point.
With an input point (-6,8) you plug -6 in for x and 8 in for y into the rule.
(x + 3, y – 5)
(-6 + 3, 8 - 5)
(-3, 3)
Now we do the same for (5, -3) as the input
(x + 3, y – 5)
(5 + 3, -3 - 5)
(8, -8)
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by

We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,

Substituting the values, r = 6.3 and π = 3.14, we have;

Simplifying the values, we have;


Dividing, we have;

Rounding off to the nearest tenth, we get;

Thus, the volume of the hemisphere is 523.5 cm³