Please help me i’m confused

According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

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;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

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%

LET X = Number of U.S. mortgages those were delinquent in 2011

So, it means X ~ $Binom(n=8, p=0.08)$

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

P(X = 1) = $\binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}$

= $8 \times 0.08 \times 0.92^{7}$

= 0.357

Hence, the probability that exactly one of these mortgages is delinquent is 0.357.

4 0

3 years ago

Help please thank you!!!!

Nana76 [90]

1. You have that:

- The trapezoids are similar.
- The larger base of the smaller trapezoid is 18 m and its area is 310 m².
- The larger base of the larger trapezoid is 32 m.

2. Then:

Sides=18/32
Sides=9/16

Area=(9/16)²
Area=81/256

3. Now, you can find the area of the larger trapezoid, as below:

81/256=310/x
81x=(310)(256)
x=79360/81
x=980 m²

Therefore, the answer is: The area of the larger trapezoid is 980 m².

4 0

3 years ago

Mm

Novay_Z [31]

Answer:

x + 2(2x-4) = 10

Step-by-step explanation:

Here in this question, we want to select which is the correct answer if we substitute for the value of y in the second equation, using the first.

In the first, we have;

y = 2x -4

Now, let’s input this value of y into the second equation.

By direct substitution, what we have is the following;

x + 2y = 10

—-> x + 2(2x -4) = 10

8 0

4 years ago

6 in 24 in I don’t get this at all and I have trouble with math

nekit [7.7K]

What’s the full question?

6 0

2 years ago

1. m – 7 < 6 A) m < –1 B) m > 1 C) m < 13 <---------------------- D) m < –13 2. x + 4.5 ≥ 5.5 A) x ≥ 10 B) x ≥

ikadub [295]

1) m - 7 < 6
Add 7 to the both sides,
m - 7 + 7 < 6 + 7
m < 13

So, Option C is your answer for this part.

2) x+4.5 ≥ 5.5
Subtract 4.5 from both sides,
x ≥ 1

So, Option B is your answer for this part.

3) p +12 > 9
Subtract 12 from the both sides,
p > -3

So, Option D is your answer for this part.

4) x - 5 ≥ 9
So, Option A is your answer for this part

Hope this helps!

6 0

3 years ago