Answer:

Step-by-step explanation:
Given


Required

This is calculated as:

Since, it is a probability with replacement, we have:

So, we have:


The answer of 74 divided by 8 hope this helps
Supplementary angles sum up to 180°, suppose the supplement of 161° is x. Then
161+x=180
solving for x we subtract 161 from both sides
161-161+x=180-161
x=19
thus the supplement is 19°
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is

, the volume of a pyramid/cone is

.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is

where r is the radius.

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

Answer:
y = 6.50x + 6 or 71 = 6.50x + 6
10 people are the max you can invite
Step-by-step explanation:
We have the simple equation
y = 6.50x + 6
6.50x because it it per person
6 because it is a flat one time charge
We want the max to be 71 so that will be our y
71 = 6.50x + 6
We are now going to solve for x
65 = 6.5x
x = 10
Hope it helps! (: