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yarga [219]
3 years ago
11

The "Liars Index," defined by work done by Jude Werra, states that 18.4% of individuals applying for executive positions in comp

anies lie on their resumes. If the resumes of three executive job applicants are randomly selected, the probability that none lied on their application is:
Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

0.5433 is the probability that out of three executive job applicants, none lied on their application.

Step-by-step explanation:

We are given the following information:

We treat individuals lying on the resume as a success.

P(Individuals lie on resume) = 18.4% = 0.184

Then the number of job applicants follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3

We have to evaluate:

P(None lied on resume)

P(x =0)\\\\= \binom{3}{0}(0.184)^0(1-0.184)^3\\\\= 0.5433

0.5433 is the probability that out of three executive job applicants, none lied on their application.

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1\leqx\leq3

Step-by-step explanation:

This inequality shows that the values of x lie between 1 and 3 and they can be of values 1,2 or 3

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The total estimated cost of attending a public two-year college in Hasani’s home town last year was $2,265. The cost of attendin
AlekseyPX

Last year total estimated cost: $2,265

This year (after 1 year) total estimates cost for 2 years is: 1.05 X $2,265 = $2,378.25

So, for 1 year will be the half of the above amount: $2,378.25 : 2 = $1,189.13


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Answer:

A = 30 inches^2

Step-by-step explanation:

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3 years ago
Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
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