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3 years ago

Pls help I need a good grade I will brainlest

Mathematics

2 answers:

kobusy [5.1K]3 years ago

8 0

The correct answer is 4/3

Naily [24]3 years ago

7 0

Answer:

1 1/3

Step-by-step explanation:

We simplify it into 3 1/6 - 1 5/6.

Since 5 cannot subtract from 1, we convert 3 1/6 into 2 7/6 because it is equivalent to 3 1/6, and subtract 1 5/6 from that fraction to get 1 1/3.

You might be interested in

Find the zeros of the function.

Reika [66]

Answer:

x = - 4, x = - $\frac{1}{5}$

Step-by-step explanation:

To find the zeros let g(x) = 0, that is

(- 5x - 1)(2x + 8) = 0 ← in standard form

Equate each factor to zero and solve for x

- 5x - 1 = 0 ( add 1 to both sides )

- 5x = 1 ( divide both sides by - 5 )

x = $\frac{1}{-5}$ = - $\frac{1}{5}$

2x + 8 = 0 ( subtract 8 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

Thus

smaller x = - 4

larger x = - $\frac{1}{5}$

8 0

3 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution 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.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

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

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$