Select all the expressions that are equivalent to 8w - 9 + 5

Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of

Alexxx [7]

Answer:

a) 0.018

b) 0

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.4 in

Standard Deviation, σ = 1 in

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

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

$P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)$

$= 1 - P(z \leq 2.1)$

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

$P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%$

0.018 is the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected men, these men have a mean hip breadth greater than 16.5 in)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(x > 16.5)

$P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)$

$= 1 - P(z \leq 23.29)$

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

$P(x > 16.5) = 1 - 1 = 0$

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

4 0

3 years ago

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

tatiyna

Answer:

y+3 = -6(x+9)

Step-by-step explanation:

m(x-x1)= (y-y1)

-6[x-(-9)] = [y-(-3)]

-6(x+9) = y+3

.....

6 0

3 years ago

The cost for taking a taxi is $1.80 plus $0.10 per eighth of a mile. What is the cost of a ride that is 4.5 miles long?

Sergio039 [100]

Answer:

$1.80 + (8x$0.10)*4.5 = $5.40

Step-by-step explanation:

$1.80 base cost

$0.10 for an 8th of a mile, thus multiply by 8 = $0.80 per mile

So, $1.80 + (4.5 * $0.8) = $5.40

7 0

3 years ago

Read 2 more answers

Y=6-x In this case, what would be the slope and y-intercept? I'm having a hard time trying to get it to the y=mx+b format.

frutty [35]

Answer:

Slope = $\frac{-1}{1}$ or -1

y = 6

Step-by-step explanation:

The equation given (y = 6 - x) is the same as saying

y = -1x + 6

Since we have a negative x variable and a positive 6 and would also be graphed the same. The only difference is that the second equation I just mentioned resembles the y = mx + b expression more. In this case the slope would be

Slope = $\frac{-1}{1}$ or -1

While the y-intercept would be

y = 6 - x

y = 6 - 0

y = 6

4 0

3 years ago

50 decreased by twice craig's score use the variable c to represent craig's score

ikadub [295]

Answer:

50 - 2c

Step-by-step explanation:

i think its incomplete

3 0

3 years ago

Select all the expressions that are equivalent to 8w - 9 + 5 - 2w.