4.
A. 3x + 1.50y the variables are x and y
B. If x = 73 wristbands and 47 buttons then:
3(47) + 1.50(47)
141 + 70.5 = 211.5
There you go!!
Answer:
First Graph is Correct
Step-by-step explanation:
We are given the inequality:

This means any number EQUAL TO or LESS than 46
Since, we have "equal to", there should be a "closed" circle on 46 (it means 46 is included).
LESS THAN means all numbers to the "LEFT".
Looking at the 4 number lines, we can eliminate last 2 choices since they don't have closed circles.
As for the first two choices, the first choice is correct because it shows us all the numbers left of 46 and 46 included (signified by the closed circle).
So, the first number line is the solution
The first fraction is 7/10.
The second bag has the same probability as the top so just copy the fractions into the boxes.
To calculate the probability of the same colour being chosen you follow these steps.
P(RR) = 3/10 x 4/9 = 12/90
P(GG) = 7/10 x 5/9 = 35/90
Then add the two fractions.
12/90 + 35/90 = 47/90
The last box is 47/90.
Answer:
circumfrence = 2 x pi x r
C = 2 x 3.14 x 3
C = 18.84 feet
Don't agree with Conclusion.
Mistake was he didn't multiply by pi (3.14)
Step-by-step explanation:
(1) Looks like the joint density is

In order for this to be a proper density function, integrating it over its support should evaluate to 1. The support is a triangle with vertices at (0, 0), (4, 0), and (4, 4) (see attached shaded region), so the integral is


(2) The region in which <em>X</em> > 2 and <em>Y</em> < 1 corresponds to a 2x1 rectangle (see second attached shaded region), so the desired probability is

(3) Are you supposed to find the marginal density of <em>X</em>, or the conditional density of <em>X</em> given <em>Y</em>?
In the first case, you simply integrate the joint density with respect to <em>y</em>:

In the second case, we instead first find the marginal density of <em>Y</em>:

Then use the marginal density to compute the conditional density of <em>X</em> given <em>Y</em>:
