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jarptica [38.1K]
3 years ago
9

The human resources manager at a company records the length, in hours, of one shift at work, X. He crests the probability distri

bution below. What is the probability that a worker chosen at random works at least 8 hours?
Mathematics
1 answer:
Ahat [919]3 years ago
5 0
Hello!

The words at least means that the worker needs to work 8, 9 or 10 hours. We can add probabilities, so we will add .6 (for those working 8 hours), .15 (for those working 9 hours) and .08 (for those working 10 hours) to get a total probability of .83.
Hope this helps!
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Ivanna purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Ivanna used her card
Wewaii [24]

Answer:

11 Minutes

Step-by-step explanation:

$30 - $28.24 = $1.76

$1.76/ 0.16 Cents /minute =  11 Minutes

7 0
2 years ago
What is the greatest common factor of 32 and 48
Bond [772]
Turn each number into the product of it's prime factors.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.
4 0
3 years ago
Read 2 more answers
Fred the ant is on the real number line, and Fred is trying to get to the point $0.$
Pavlova-9 [17]

Complete question is;

Fred the ant is on the real number line, and Fred is trying to get to the point 0

If Fred is at 1 then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2 then on the next step, Fred always moves to 1

Let e1 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 1. Similarly, let e2 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 2

Determine the ordered pair (e1, e2)

Answer:

(e_1,e_2) = (2,3)

Step-by-step explanation:

We can track the probabilities using the scenario that Ant gets to 0 after 1 steps, 2 steps, 3 steps, 4 steps, 5 steps and so on.

This gives us e_1 = 1(1/2^(1)) + 2(1/2²) + 3(1/2³) + 4(1/2⁴) + ...

By arithmetico-geometric series, which is given by;

S_(∞) = [a/(1 - r)] + dr/(1 - r)²

From the online calculator, i got;

e_1 = 2

Similarly, e_2 = 2(1/2^(1)) + 3(1/2²) + 4(1/2³) + 5(1/2⁴) + ...

By arithmetico-geometric series, e_2 = 3,

Thus, (e_1,e_2) = (2,3).

6 0
2 years ago
A square and a triangle have equal perimeters. The square has a perimeter of 4(x + 9), and the triangle has a perimeter of 3(x +
cricket20 [7]

Answer: x=36

4(x+9)=3(x+24)

4 0
2 years ago
HELP! last one of the day!
quester [9]
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.

.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5

___
According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
7 0
3 years ago
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