-2(x + 3) = -2(x + 1) - 4
-2x - 6 = -2x - 2 - 4 <em>distributed -2 on the left and on the right</em>
-2x - 6 = -2x - 6
<u>+2x </u> <u>+2x </u>
-6 = -6
TRUE
Since this is a true statement, there are infinite solutions (aka All Real Numbers)
Answer: C
Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
Answer:
32.
Step-by-step explanation:
64
4 x 10 = 40
4 x 6 = 24
(40)+(24) = 64
Answer:
The probability that exactly two of the four live in their own household and are income-qualified is = .0975
Step-by-step explanation:
Given -
Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.
Probability of sucess ( p ) = 85% =.85
Probability of failure ( q ) = 1 - .85 =.15
n = 4
From combination of n events taking r sucess we use binomial distribution

where , r = 2
the probability that exactly two of the four live in their own household and are income-qualified is =

= 
= 
= .0975