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ivanzaharov [21]
2 years ago
14

A company has recently been hiring new employees. Today the company has 29% more employees than it did a year ago. If there are

currently 38700 employees, how many employees did the company have a year ago?
Mathematics
1 answer:
mezya [45]2 years ago
5 0

Answer:

27477

Step-by-step explanation:

Subtract 38700 from 29% = 27477.

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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. 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.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

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

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
3 years ago
-8(x+5)=-3x-7+x-3 what is the value of x​
Jet001 [13]
The correct answer is 8 1/3. Hope this helps!!
8 0
3 years ago
Write 108.92 in expanded form.
Vlada [557]

Answer:

1.0892*10²

Step-by-step explanation:

1.0892*10²

5 0
3 years ago
Read 2 more answers
What is the volume of the prism. 4.1 2.8 5.1
Fed [463]
So, when finding the volume, we would just add up every side, and from the question above, it look like that the numbers that we would be adding are the following above.

4.1+ 2.8+ 5.1=(11.2)

The volume would be 11.2
3 0
3 years ago
Read 2 more answers
The point (5, -2) is rotated 90° about the origin. Its image is
Nadya [2.5K]

Answer:

(2,5)

Step-by-step explanation:

The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.

8 0
3 years ago
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