Answer:
The probability that exactly one of these mortgages is delinquent is 0.357.
Step-by-step explanation:
We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.
A random sample of eight mortgages was selected.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 8 mortgages
r = number of success = exactly one
p = probability of success which in our question is % of U.S.
mortgages those were delinquent in 2011, i.e; 8%
<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>
So, it means X ~ 
Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)
P(X = 1) = 
= 
= 0.357
<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>
Answer:
Step-by-step explanation:
lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.
120/2=60
120/3=40
120/4=30
we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.
do not forget there is only one x so it must stay in side the radical.
your answer is 2sqrt(30x)
No
X would have to equal 6 or greater as if x was 5
5+3 is the same as 8
Answer:
Front: 33 ft
Back: 66 ft
Step-by-step explanation:
Let w be the width of the front yard
½[w + 2w]×2w = 3300
3w² = 3300
w² = 1100
w = 33.1662479036
w = 33 ft
2w = 66 ft
Hi there!
Reflections across the line y = -x always go by the rule (-y, -x). We can use this rule to get our answer here. We are given the aftermath of the reflection coordinates, which are <span>A'(-1, 1), B'(-2, -1), and C'(-1, 0). All we have to do now is switch up the coordinate values and multiply them by -1. Here is the work -
A'(-1, 1) => (1, -1) => x -1 => A(-1, 1)
B'(-2, -1) => (-1, -2) => x -1 => B(1, 2)
C'(-1, 0) => (0, -1) => x -1 => C(0, 1)
Therefore, the coordinates of Triangle ABC are A(-1, 1); B(1, 2); C(0,1). Hope this helped and have a phenomenal day!</span>
