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Lerok [7]
4 years ago
11

4. Round to the nearest 100 toestimate the difference.390 - 122 =​

Mathematics
1 answer:
VARVARA [1.3K]4 years ago
3 0

Answer:

400-100=300

boom

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I need to show my work for 6a = 36​
zaharov [31]

Answer:

6a =36

a = 36/6

a = 6

that is the answer

pls mark brainiest

Step-by-step explanation:

5 0
3 years ago
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9 divided by what equals 18?
Vikentia [17]

Answer:

0.5

planation:

9/18  = 0.5

If you write the problem out x will represent the missing number

9 ÷ x = 18

You can write it as 9 ÷ 18

which is 0.5

The problem is asking what is 9 divided by to get 18

4 0
3 years ago
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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

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

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

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
Pls helppp I will mark brainlist if correct !! :)
klemol [59]

Answer:

J) 2.4

Step-by-step explanation:

8[6.3-4(1.5)] Simplify the expression 2.4

5 0
3 years ago
-5x-12=18 solve for x ty
emmasim [6.3K]

Answer:

<h2>X=-6</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
  • PEMDAS
<h3>let's solve:</h3>
  1. add 12 to both sides:-5x-12+12=18+12=>-5x=30
  2. divide both sides by-5:-5x/-5=30/-5
  3. therefore x=-6
7 0
3 years ago
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