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mr_godi [17]
3 years ago
14

What is the angle of pi over 2 radians?

Mathematics
1 answer:
Gwar [14]3 years ago
8 0
The angle of pi over 2 radians is 90 degrees.
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According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one tha
Ostrovityanka [42]

Answer:

The standard deviation of this distribution is 0.8850.

Step-by-step explanation:

For each U.S. mortgage in the sample, there are only two possible outcomes. Either it is delinquent, or it is not. The probabilities of each mortgages being delinquent are independent from one another. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

11% of U.S. mortgages were delinquent last year.

This means that p = 0.11

A random sample of eight mortgages was selected. What is standard deviation of this distribution?

This is \sqrt{V(X)} when n = 8

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8*0.11*0.89} = 0.8850

The standard deviation of this distribution is 0.8850.

7 0
3 years ago
Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
dedylja [7]

Answer:

b

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1)

m = \frac{1-2}{3+1} = - \frac{1}{4}, thus

y = - \frac{1}{4} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 2), then

2 = \frac{1}{4} + c ⇒ c = 2 - \frac{1}{4} = \frac{7}{4}

y = - \frac{1}{4} x + \frac{7}{4} ← in point- slope form

Multiply through by 4

4y = - x + 7 ( add x to both sides )

x + 4y = 7 → b

3 0
3 years ago
Read 2 more answers
Kamals bedroom has an area of 120 square feet the width of the room is 5/6 the length of the room what are the dimension of kama
avanturin [10]
120.\frac{5}{6}=>20.5=100 \\  \\ 120\: square\: meters
 \\  \\ \framebox[1.1\width]{Good Luck!} \par

4 0
3 years ago
Read 2 more answers
I need help with this please...
Luda [366]
Answer:
I think it should be 56
5 0
3 years ago
Read 2 more answers
Joe's grandma lives 36 blocks up the street from Joe. On Saturday, Joe
Kay [80]

Answer:

108 blocks.

Step-by-step explanation:

Joe's grandmother lives 36 blocks away from Joe.

Joe rode two thirds of the way to the house is 2/3 * 36= 24 blocks.

Then he rode back to his house (1 - 2/3) * 36= 12 blocks.

Then Joe rode back to grandma's house= 36 blocks.

Then he rode straight home= 36 blocks.

Total number of blocks he rode is 24+12+36+36= 108 blocks.

5 0
3 years ago
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