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Reika [66]
3 years ago
10

On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees

are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent from other employees. 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.

5% of the production employees at Midland States Steel are absent from work.

This means that p = 0.05

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

This is P(X = 0) when n = 10. So

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

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

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Which expression is equivalent to (c-2d) times (3c-2d)?
timama [110]

Answer:

B

Step-by-step explanation:

(c - 2d) (3c - 2d) =  c*(3c -2d) - 2d(3c - 2d)

6 0
2 years ago
A quarter coin is tossed two times. What is the probability that the coin will land heads up both times?
Brut [27]

Answer:

1 in 4 chance

Step-by-step explanation:

because if it is a 50% chance to get heads on one toss, then for two tosses you have to multiply 1/2 * 1/2 and that equals 1/4

8 0
3 years ago
Find the midsegment of triangle ABC so that it is parallel to side BC and label it as segment EG on the graph coordinate of E: _
Sholpan [36]

Answer:

Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)

Step-by-step explanation:

You first have to find the midpoints of AC and AB.

AC X coordinate:

X1+X2/2

Substitute the x points of AC in

1+(-5)/2=-2

AC Y coordinate:

Y1+Y2/2=3

Substitute the y points of AC in

5+1/2=3

You do the same thing with the AB line. I am pretty sure this works and I hope this helps!




5 0
3 years ago
Jamison needs a total of $395 to buy a new bike. He has $35 saved. He earns $15 each week delivering newspapers . How many more
dmitriy555 [2]

An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

Learn more about Equation here:

brainly.com/question/10413253

#SPJ1

5 0
2 years ago
Can someone help me please
ki77a [65]
<span>x = -2.375 Hopefully that helps :)</span>
8 0
3 years ago
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