Answer:
A
Step-by-step explanation:
It looks like M is composed of all real numbers and that U = R also means its composed of all real numbers. This means that M and U are equal and both are composed of all real numbers.
To define the complement of M, it includes all values which are not in M. However, since M already has all real numbers and U doesn't have any values that M doesn't then the complement is nothing. It is an empty set with no items in it. This means A is the correct answer.
We need more information or a picture please :)
Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
Step-by-step explanation:
x+13⁰+10x+13⁰+2x-2⁰= 180⁰
13x= 180-24
13x=156
x = 12⁰
now angle Q = 10x+13⁰
= 10(12)+13= 120+13
= 133⁰
Answer:
Correct rate of change is -5; correct initial value is 3.
Step-by-step explanation:
The rate of change is the coefficient of the x term, which here is -5. So Bryan has the rate of change wrong.
The initial value of the function is found by letting x = 0. Here, we get
y = -5(0) + 3, or y = b = 3. The initial value is 3, not -5.