Find the value of x by solving the equation below

Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25

stellarik [79]

Using the binomial distribution, it is found that there is a 0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 25, p = 0.62.

The probability that exactly 18 of them say job applicants should follow up within two weeks is P(X = 18), hence:

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

$P(X = 18) = C_{25,18}.(0.62)^{18}.(0.38)^{7} = 0.1008$

0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.

More can be learned about the binomial distribution at brainly.com/question/24863377

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6 0

2 years ago

Please help !!!<br> I can’t solve this <br> The teacher doesn’t teach well

Scorpion4ik [409]

So here are 4 rules when it comes to exponents:

When you raise a power to a power, you really just multiply the exponents: $(x^m)^n=x^{m*n}$
When you multiply 2 exponents of the same base, you add the exponents together: $x^m*x^n=x^{m+n}$
When you divide 2 exponents of the same base, you subtract the exponents: $\frac{x^m}{x^n}=x^{m-n}$
To convert a negative exponent into a positive one, flip it to its reciprocal: $x^{-m}=\frac{1}{x^m}\\ \frac{1}{x^{-m}}=\frac{x^{m}}{1}=x^m$

<u>Part A:</u>

$\frac{2x^3y^3}{4y^2}=\frac{1}{2}x^{3-0}y^{3-2}=\frac{1}{2}x^3y$

$(\frac{x^{-8}}{y^{11}})^{-2}=\frac{x^{-8*-2}}{y^{11*-2}}=\frac{x^{16}}{y^{-22}}=\frac{x^{16}y^{22}}{1}=x^{16}y^{22}$

$\frac{(2x^3)(x^4)^2}{8x^{11}}=\frac{(2x^3)(x^{4*2})}{8x^{11}}=\frac{(2x^3)(x^8)}{8x^{11}}=\frac{2x^{3+8}}{8x^{11}}=\frac{2x^{11}}{8x^{11}}=\frac{1}{4}x^{11-11}=\frac{1}{4}x^0=\frac{1}{4}$

5 0

3 years ago

Leon created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inche

drek231 [11]

Answer:

The scale that Leon used to create the scale drawing is 1:72.

Step-by-step explanation:

Given that Leon created a scale drawing of the school library in his art class, and in the scale drawing, the length of the library is 13 inches while the length of the actual library is 78 feet, to determine which scale did Leon use to create the scale drawing of the school library, the following calculation must be performed:

1 foot = 12 inches

78 feet = 12 x 78 = 936 inches

936/13 = 72

So, the scale that Leon used to create the scale drawing is 1:72.

8 0

3 years ago

Read 2 more answers

Some insurance companies charge more if you smoke cigarettes. The difference in the annual life insurance premiums paid by a 35-

ELEN [110]

The difference between the smoker and the non-smoker is $151

1000 x $7.85 = $785
1000 x $9.36 = $936
= $151

4 0

3 years ago