Answer:
20
Step-by-step explanation:
This is a binomial distribution
n = 100; p = 1/5
E(x) = np = (100)(1/5) = 20
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
First you would want to find the length of one eraser and then multiply that by 2. To find the length of one you take the total length or all of them and divide it my the total number of them. 29 1/4 is 117/4.
(117/4) / 13 Dividing by something is the same as multiplying by the opposite.
117/4 × 1/13 = 117/52
Now you multiply by 2.
117/52 * 2/1 Cross simplify
117/26 * 1/1
117/26 inches or 4 1/2 inches.
Alright, so the rate of change is the same thing as the slope, so we can find this by using the slope formula (which I took a picture of because it's super messy to type it out like this)
Now that we know the slope formula, we need to find the x values and the y values to plug into the equation. We'll say that the years are our x values and the money spent (in billions) are our y values. Now that we've set up an axis, we can create points! Our points would be (2000, 1243) and (2005, 1838)
Now we can plug our points into our equations! On the top of our equation, we'll put (1838-1243), and on the bottom we'll put (2005-2000). When we simplify that, we end up with 595/5, which simplifies to 119. Now we know that the rate of change for the credit cards was 119 billion!
Answer:
935
Step-by-step explanation:
Let's solve the rectangle first. We are dividing this figure into two sepreate shapes, can you see that?
-
1/2*B*h
630
-
Now for the other shape.
Volume = 315
630+315=935