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puteri [66]
3 years ago
9

What is the domain of f(x) = -x2 + 4 g(x) = -3x

Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

Step-by-step explanation:

(−∞,∞)

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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
What is the surface area of this design?
vichka [17]

Answer:

280in

Step-by-step explanation:

10×6=60

60×2=<u>120</u>

6×10=<u>60</u>

4×4=16

16×2=<u>32</u>

4×6=<u>24</u>

4×4=<u>16</u>

6×6=<u>36</u>

<u>120+60+32+24+16+36=280</u>

<u />

4 0
3 years ago
Use the parabola you graph the quadratic function y = x^2 + 4x + 5 graph the parabola by first plotting its vertex and then plot
SVETLANKA909090 [29]

Answer:

Vertex : (-2,1)

other points : (0,5) & (-4,5)

Step-by-step explanation:

6 0
3 years ago
Law of sines formula
Gnoma [55]
The formula for the law of sines is:

sin(A)/a = sin(B)/b = sin(C)/c

Big letters denote angle measures while smaller letters denote side lengths.
6 0
3 years ago
Maria spent 1/5 of her savings on a storybook. She spent 3/8 of the remaining amount on a comic book. What fraction of her savin
Natali [406]
I believe the answer is 23/40 but I don’t have paper and pencil hope this helps


8 0
3 years ago
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