There is some ambiguity here which could be removed by using parentheses. I'm going to assume that you actually meant:
x-3
h(x) = ---------------
(x^3-36x)
To determine the domain of this function, factor the denominator:
x^3 - 36x = x(x^2 - 36) = x(x-6)(x+6)
The given function h(x) is undefined when the denominator = 0, which happens at {-6, 0, 6}.
Thus, the domain is "the set of all real numbers not equal to -6, 0 or 6."
Symbolically, the domain is (-infinity, -6) ∪ (-6, 0) ∪ (0, 6) ∪ (6, +infinity).
Answer:
a. P(x>20)=0.19
b. P(x≥6)=0.72
c. P(x≤20)=0.81
d. A and C
Step-by-step explanation:
We know that:
1) the probability that a student makes fewer than 6 mistakes is 0.28

2) The probaiblity that a student makes between 6 to 20 mistakes is 0.53.

We will express the proabilibities in function of the information we have.
a. Probability that a student makes more than 20 mistakes.

b. Probability that the student make 6 or more mistakes

c. Probability that a student makes 20 mistakes at most

d. A and C, because A takes a event of more than 20 mistakes and C takes the event of 20 or less mistakes. Both events cover a probability of 1.
<em>x = - 2</em>
<em>y = 5</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>2x + 9 = y</em>
<em>y = - 4x - 3</em>
<em>
</em>
<em>equality</em>
<em>2x + 9 = - 4x - 3</em>
<em>2x + 4x = - 9 - 3</em>
<em>6x = - 12</em>
<em>x = - 12 : 6</em>
<em>x = - 2</em>
<em>replace x = - 2</em>
<em>2(-2) + 9 = y</em>
<em>- 4 + 9 = y</em>
<em>y = 5</em>
<em>Good luck !</em>
<em />
<em />
Simple, what you're basically doing is simplifying,

well, you have 3x and you have

12/3=4
and you can "cancel" out an x, making your answer,

.
Answer:
B.1/2
Step-by-step explanation:
Half of the numbers on a dice are even, so you have a 1 half probability of landing on an even number