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Firlakuza [10]
3 years ago
11

Find m A. 24 B. 36 C. 136

Mathematics
2 answers:
umka21 [38]3 years ago
6 0

Answer:

11.750

Step-by-step explanation:

timurjin [86]3 years ago
5 0

Step-by-step explanation:

please mark me as brainlest

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If 96 grams of carbon-14 are originally present in a fossilized plant at the present time, how much will remain after 17,000 yea
Elden [556K]
Well, you already have the decay model, so just plug that in

\bf A=96e^{-0.000121\cdot 17000}\implies A=96e^{-2.057}
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3 years ago
(assume no variable equals 0) PLEASE HELP
saw5 [17]

(3n^2 + 1) + (8n^2 - 8)\\= 3n^2 + 1 + 8n^2 - 8\\= 11n^2 - 7

5 0
3 years ago
1 Kg = 2.2046 pounds what will be the answer in round to nearest tenth 4550 pounds = ______ kg
Harrizon [31]

Answer:

2063.9 kg

Step-by-step explanation:

Given,

<u>1 kg = 2.2046 pounds</u>

This can also be written as:

<u>1 pound = 1/2.2046 kg</u>

We have to calculate the value of 4550 pounds in kg up to nearest 10th

Thus,

4550 pounds= \frac{4550}{2.2046} kg

Solving the above equation, we get:

4550 pounds = 2063.8664 kg

Rounding the above result to nearest tenth as:

<u>4550 pounds = 2063.9 kg</u>

6 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

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
If m&lt;3 = 54° find each measure.
oee [108]

Answer:

m<15

Step-by-step explanation:

m<15 promise ko heheh

8 0
3 years ago
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