Please I need help right now it’s all in the picture please please help

John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach i

MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

$2.7 million
$2.4 million
$2.2 million
$2 million
$1.5 million
$1.5 million
$0.5 million
$0.5 million
$0.2 million
$0.1 million

sample mean = $1.36 million

the standard deviation:

$2.7 million - $1.36 million = 1.34² = 1.7956
$2.4 million - $1.36 million = 1.04² = 1.0816
$2.2 million - $1.36 million = 0.84² = 0.7056
$2 million - $1.36 million = 0.64² = 0.4096
$1.5 million - $1.36 million = 0.14² = 0.0196
$1.5 million - $1.36 million = 0.14² = 0.0196
$0.5 million - $1.36 million = -0.86² = 0.7396
$0.5 million - $1.36 million = -0.86² = 0.7396
$0.2 million - $1.36 million = -1.16² = 1.3456
$0.1 million - $1.36 million = -1.26² = 1.5876
total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

7 0

3 years ago

The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. If the total cost to carpet an office is $810

dimaraw [331]

Answer:

<h2>11.11 square yard </h2>

Step-by-step explanation:

Step one:

given data

charges=$90

installation=$9 per square yard

total cost of installation= $810

let x represents the number of square feet

Step two:

The expression for the installation cost is given as

810=9x+90------------1

solve for x, collect like terms

810-90=9x

720=9x

divide both sides by 9 we have

x=720/9

x=11.11 square yard

4 0

3 years ago

Of the members of a student choir, 60% are boys. If there are 21 boys in the choir, how many members does the choir have in tota

rjkz [21]

The answer is 35 hopes this help

6 0

3 years ago

Read 2 more answers

Ms. Williams wanted information about how well her students were

Arturiano [62]

Answer:

https://www.pittsfordschools.org/cms/lib/NY02205365/Centricity/Domain/683/ANSWER%20KEY%20TO%20ALL%20HOMEWORK.pdf

Step-by-step explanation:

If this doesn’t work I’m sorry but that’s the link!

5 0

3 years ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

6 0

2 years ago