X = B.......x - 17 = A
x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes
x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes
Answer:
3(x - 12)(x + 2)
Step-by-step explanation:
Given
3x² - 30x - 72 ← factor out 3 from each term
= 3(x² - 10x - 24) ← factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) and
3x² - 30x - 72 = 3(x - 12)(x + 2)
Answer:

Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

If the modulus function is positive then:

If the modulus function is negative then:

multiply through by -1

combining the resulting inequalities, the estimate of the possible range of heights will be 
Answer:
7) circumference = 11.78 ft
8) arc NMP = 198° or 27.63 ft
Step-by-step explanation:
7) circumference = πd = (3.14) (3 3/4) = 11.78 ft
8) radius = 8 ft
diameter = 2 x 8 = 16 ft
arc NM + arc QP = 360° - 162° - 162° = 36°
arc NM = arc QP because they are arcs of vertical angles.
arc QP = 18°
arc NMQ = 180°
arc NMP = 180° + 18° = 198°
circumference = πd = (3.14)(16) = 50.24 ft
(198°/360°)(50.24) = 27.63 ft
Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08

The null and alternate hypothesis are:

We use one-tailed z test to perform this hypothesis.
Formula:

Now, 
Since,

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.