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4 years ago

Analyze the diagram below and complete the instructions that follow. 550 450

Mathematics

1 answer:

svetlana [45]4 years ago

6 0

Answer:

130 degrees

Step-by-step explanation:

let the angle be x

2x+45+55=360(Sum of angles in quad)

2x=260

x=130

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37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers hers

valina [46]

Answer:

(a) 2.22

(b) 1.3986

Step-by-step explanation:

Let X denote the number of women who consider themselves fans of professional baseball.

The proportion of women who consider themselves fans of professional baseball is, p = 0.37.

A random sample of n = 6 women are selected and each was asked if she considers herself a fan of professional baseball.

Each woman's reply is independent of the others.

The random variable X thus follows a binomial distribution with parameters n = 6 and p = 0.37.

(a)

Compute the mean of the binomial distribution as follows:

$\text{Mean}=np=6\times 0.37=2.22$

(b)

Compute the variance of the binomial distribution as follows:

$\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986$

(c)

Compute the standard deviation of the binomial distribution as follows:

$\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183$

5 0

3 years ago

What kind of triangle is 3,8,9

dybincka [34]

Answer:

have a nice day! God bless

Step-by-step explanation:

Obtuse scalene triangle

7 0

3 years ago

Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.

Natali5045456 [20]

Answer:

a) $X\sim(27293,(7235)^2)$

b) 0.1567

c) $P_{70}=31084.14$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

$X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)$

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

$P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)$

Calculation the value from standard normal z table, we have,

$P(x < 20000) = 0.1567$

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

$P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14$

The 70th percentile for the distribution of college cost is $31,084.14

4 0

3 years ago

The length of a rectangular art canvas is 36 inches, and the width is 24 inches. What is the length of the diagonal of this fram

igor_vitrenko [27]

Answer:

43.3

Step-by-step explanation:

pythagoras theorem

6 0

3 years ago

Simplify. Remove all perfect squares from inside the square root. \sqrt{175}=

drek231 [11]

Answer:

First, simplify each square root: √175 , is 175 divisible by a perfect square (other than 1)? So √175=√25×7=√25×√7=5√7 . We cannot further simplfy √7 so we'll simplify the other square

Step-by-step explanation:

5 square

6 0

3 years ago