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user100 [1]
3 years ago
5

Worth 14 points I need 2 more answers for this one question

Mathematics
2 answers:
aliya0001 [1]3 years ago
6 0

8f + 4g and 4 (2f + g)

saw5 [17]3 years ago
5 0
D and e because it’s the only two answers that equal 8f+4g
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Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis
tiny-mole [99]

Answer:

a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.

b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.

Step-by-step explanation:

For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Significantly high:

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.

25% of the challenges are successfully upheld with the call overturned.

This means that p = 0.25

879 challenges

This meas that n = 879

a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.

This is P(X = 231). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209

0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.

b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high

The mean is:

E(X) = np = 879*0.25 = 219.75

The standard deviation is:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84

219.75 + 2.5*12.84 = 251.85 > 231

231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.

5 0
2 years ago
The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
Alexxx [7]

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

8 0
3 years ago
A fair coin is flipped 10 times and the results are observed. The coin lands heads-side up 4 times.
Vedmedyk [2.9K]

Answer:

The experimental probability of the coin landing tails-side up is <u>60</u><u>%</u><u>.</u>

Step-by-step explanation:

The probability of it landing heads up is 4/10. You can use 4/10 to find how many times it landed on tails.

10/10 - 4/10= 6/10 now convert 6/10 into a percentage, 60/100=<u>60%</u>

5 0
3 years ago
Read 2 more answers
I think of a number, add 3 to it and multiply the result by 7.
Alla [95]

Answer:

7(x + 3)

<em>Step-by-step explanation</em>

<em>thinked number = x</em>

<em>add 3 = +3 </em>

x + 3

<em>multiply</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>by</em><em> </em><em>7</em>

<em>7(  x+ 3)</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

6 0
3 years ago
Please help me. I suck at math
serg [7]

Answer:

Answer is ...Obtuse

Step-by-step explanation:

\frac{m

\frac{5x + 4}{2}  =  \frac{3}{2} x + 21

\frac{5x + 4}{2}  =  \frac{3x + 42}{2}

5x + 4 = 3x + 42

5x -  3x = 42 - 4

2x = 38

x = 19

substituting \: x = 19  \: \:in \:  \:  \:  \:  \:  \:  \: \\ m

We get,

m<ABC =

(5 \times 19) + 4 = 99

Hence <ABC is obtuse

4 0
2 years ago
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