Answer:

And we can find this probability like this:

And we can replace the values and we got:

Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y | 0 1 2 3 4
P(Y) | 0.005 0.114 0.429 0.381 0.071
And we want to find the following probability:

And we can find this probability like this:

And we can replace the values and we got:

Answer:
339.12 cubic millimeters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder
so
step 1
Find the volume of the cylinder
The volume is given by

where
B is the area of the base of cylinder
h is the height of cylinder
we have

we have

----> the radius is half the diameter


substitute

step 2
Find the volume of the sphere
The volume is given by

we have
----> the radius is half the diameter
substitute

step 3
Adds the volumes

First, you must change all of this into improper fractions, like shown below.

Now you must change the sign.

Then we must reciprocalize 2/3.

Now we multiply, to get 2 4/10.
Answer:
This equation has one solution so given statement is true.
Step-by-step explanation:
7a +4 – 2a = 7a + (-20)+4
5a + 4 = 7a - 16
5a - 7a = -16 - 4
- 2a = - 20
a = 10
This equation has one solution so given statement is true.
Answer:
Step-by-step explanation:
If a table is linear, Y must change at a constant rate as X increases by 1. If a table is not linear, Y doesn't change at a constant rate at all. In fact, nonlinear tables don't even have an equation because there's no predicting what the Y-value is.