Answer:
59°
Step-by-step explanation:
Difference=54-(-5)
=54+5=59
Answer:
The appropriate probability model for X is a Binomial distribution,
X 
Bin (<em>n</em> = 5, <em>p</em> = 1/33).
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of American births resulting in a defect.
The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.
A random sample of <em>n</em> = 5 American births are selected.
It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.
In this experiment the success is defined as a defective birth.
The random variable <em>X</em> satisfies all criteria of a Binomial distribution.
The criteria are:
- Number of observations is constant
- Independent trials
- Each trial has only two outcomes: Success and Failure
- Same probability of success for each trial
Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).
Answer:
a = 1
Step-by-step explanation:
1. distribute the -6 on the left into the parentheses. you should get -36a + 30.
2. on the side right of the =, distribute the -2 to get -16 + 10a.
now it should look like -36a + 30 = -16 + 10a.
3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)
4. move the 10a on the right to the left by subtracting it to the other side.
(-46a=-46)
5.divide by -46 to get a=1
Let's call x = profit from the sweatshirt sales 1) A vendor pays to rock band 13% of the total profit from T-shirts and sweatshirts sold at every concert. 2) the profit from T-shirts sales was $ 1,632 3) The vendor paid the rock band $ 726 after the last concert We then have the following equation: 0.13 * (1632 + x) = 726 Clearing x: (1632 + x) = (726 / 0.13) x = (726 / 0.13) - 1632 = 3953 $ Answer: the profit from sweatshirt sales was 3953 $
Just reflect C and D across the y-axis
C is (-4, -4) so A is (-4, 4)
D is (4, -4) so B is (4, 4)
