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alisha [4.7K]
3 years ago
12

how do you know if your anwser in absolut value is extranious after you plug it back into the equation?

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0
If an number is an absolute value, it means that the number will be positive. You would plug and check the same way you would for any other equation and it a solution is considered extraneous if the equation is not equal
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A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are
Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. 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.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that p = 0.75, and four games means that n = 4

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

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

P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164

0.3164 = 31.64% probability the team wins all its conference games

4 0
3 years ago
Reduce the fractions using the greatest common factor 6 over 16
baherus [9]
3/8 greatest common factor is 2
6 0
3 years ago
Write L if it is likely to happen and U if unlikely to happen.
maria [59]

Answer:

Probabilities

        Likely to happen (L)      Unlikely to happen (U)

a.      4/5                                 5/8

b.     3/5                                  3/8

c.     4/5                                  4/7

d.    0.3                                  0.09

e.    5/6 and 4/5                   2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms.  When this is done, the relative sizes become obvious, and then, comparisons can be made.

3 0
3 years ago
738 x 695<br><img src="https://tex.z-dn.net/?f=795%20%5Ctimes%20695%20%20" id="TexFormula1" title="795 \times 695 " alt="795 \t
Furkat [3]

Answer:

738 x 695 = 512910

795 x 695 = 552525

Step-by-step explanation:


8 0
3 years ago
Explain how the pythagorean theorem is used to derive the distance formula​
kenny6666 [7]

Answer:

In the Pythagorean Theorem, a right triangles hypotenuse is found by a^2 +b^2= c^2. The distance formula is basically the same thing. With two points, a right triangle can be formed and the slop would be the hypotenuse. That's where the distance formula comes from

Step-by-step explanation:

3 0
4 years ago
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