Answer:
d. x ≥ 2 or x ≤ -2
Step-by-step explanation:
The domain is the set of all possible x-values that will make the function work.
For the function to work, the radicand cannot be negative.
x² - 4 ≥ 0
x² ≥ 4
x ≥ 2 -x ≥ 2
x ≤ -2
The domain is x ≥ 2 and x ≤ -2.
The graph of your function shows that ƒ(x) does not exist when -2 < x < 2.
Answer: A
Step-by-step explanation: you have to use the 2 points distance formula that is ✓(xb - xa)^2 + (yb - ya)^2 so ✓(6+6)^2 + (-3-4)^2 = ✓144 + 49 = ✓193
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
Answer: 15 students in her second class.
Step-by-step explanation:
Let A, B, and C stand for the number of students in each class. See the attached table.
The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.
The total students amount to 65, whcih is the sum of A, B, and C:
A + B + C = 65
Substitute the values of A and C into this equation:
A + B + C = 65
2B + B + (B+5) = 65
4B + 5 = 65
4B = 60
B = 16
Use B=16 and solve for the other two classes (dotted blue line).