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Orlov [11]
3 years ago
12

What is the solution to the equation ?

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0
40/7=5x/35
1400/7=5x
200=5x
40=x
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In triangle ABC, the side lengths are AB = 13, AC = 21, and BC = x. Write a compound inequality that represents the range of pos
Ipatiy [6.2K]

Answer:

7 < x < 34

Step-by-step explanation:

The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.

4 0
3 years ago
Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector rand
iVinArrow [24]

Answer:

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Step-by-step explanation:

For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. 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.

Five percent of all blue ray players manufactured by a large electronics company are defective.

This means that p = 0.05

A quality control inspector randomly selects three players from the production line.

This means that n = 3

What is the probability that exactly one of these three blue ray players is defective?

This is P(X = 1). So

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

P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

6 0
3 years ago
Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
patriot [66]

x+2

Step-by-step explanation:

x+2

If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.

7 0
4 years ago
Pls can someone do this for me
lawyer [7]

Answer:

is this your homework or someone's

3 0
3 years ago
Y
hichkok12 [17]

Answer:

the correct ones are the 1st, 3rd and 4th

the range is (0:+infinity)

and the second statemend is false because 2²=4, but 2³=8, and 8=4=4 not 2

3 0
3 years ago
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