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Sav [38]
2 years ago
14

Help me with 1 through 7 please and thank you

Mathematics
1 answer:
Serggg [28]2 years ago
5 0
That’s actually all of them.

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) One year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million. Suppose a samp
Nutka1998 [239]

Answer:

Probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

Step-by-step explanation:

We are given that one year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million.

Suppose a sample of 400 major league players was taken.

<em>Let </em>\bar X<em> = sample average salary</em>

The z-score probability distribution for sample mean is given by;

                 Z = \frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }  ~ N(0,1)

where, \mu = mean salary = $1.5 million

            \sigma = standard deviation = $0.9 million

             n = sample of players = 400

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the average salary of the 400 players exceeded $1.1 million is given by = P(\bar X > $1.1 million)

    P(\bar X > $1.1 million) = P( \frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} } >  \frac{ 1.1-1.5}{{\frac{0.9}{\sqrt{400} } }} } ) = P(Z > -8.89) = P(Z < 8.89)

<em>Now, in the z table the maximum value of which probability area is given is for critical value of x = 4.40 as 0.99999. So, we can assume that the above probability also has an area of 0.99999 or nearly close to 1.</em>

Therefore, probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

4 0
3 years ago
Find the closest point to y in the subspace w spanned by bold v 1v1 and bold v 2v2. yequals=left bracket start 4 by 1 matrix 1st
Dmitrij [34]

Answer:

See attached picture.

Step-by-step explanation:

6 0
3 years ago
Need help with this one. TY!!
xxMikexx [17]

Answer:

(a) 6x + (x + 12) = 180  

(b) m<1 = 144       m<2 = 36

Step-by-step explanation:

7x + 12 = 180

7x = 168

x = 24

6(24) = 144

(24) + 12 = 36

8 0
3 years ago
Read 2 more answers
If you know the volume of a cylinder and that a cone has the same base and height of a cone, how would you determine the volume
ratelena [41]

Answer:

Multiply the cone's volume by 3

Step-by-step explanation:

Cylinder's Volume is

V = pi r ^2(h)

Cone's Volume is

V = 1/3 pi r^2 (h)

5 0
3 years ago
Read 2 more answers
Sam decides to build a square garden. If the area of the garden is 25x2 + 30x + 9 square feet, what is the length of one side of
seropon [69]
The correct answer is C. (5x+3) feet, and here is how I got it.
This is the equation you need to use:
(a+b)^2 = (a+b) (a+b)
So, let us plug in 5x and 3 here:
(5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9 which is the area of the garden. 
5 0
3 years ago
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