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telo118 [61]
2 years ago
9

Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A

ll of the support staff
have less than five years of experience. Consider the two events, J and K.
• Event J: Employee is considered support staff.
• Event K: Employee has more than five years of experience.
How many outcomes are possible for the complement of the union of Events J and K?

Mathematics
1 answer:
polet [3.4K]2 years ago
6 0

Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.

<h3>What is the union of events J and K?</h3>

It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.

<h3>What is the complement?</h3>

The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:

15 + x = 58

x = 43.

The number of outcomes that are possible for the complement of the union of Events J and K is of 43.

More can be learned about complementary events at brainly.com/question/9752956

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The volume of a cylinder is 4 pi x3 cubic units and its height is x units.
Rzqust [24]

Answer:

2x

Step-by-step explanation:

The volume of a cylinder, V is given by the formula,

V=\pi r^{2}h

Where, r is the radius and h is the height of the cylinder.

Here, V=4\pi x^{3}, h=x. Plug in these values and solve for radius, r.

This gives,

V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\

Taking square root both sides, we get

\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x

Therefore, the radius of the cylinder can be expressed as 2x.

6 0
3 years ago
Using a compass, construct an accurate copy of triangle DEF. Check that EF = 4.6 cm. ​
MaRussiya [10]

Step-by-step explanation:

construct 90° then measure 4.6 cm and draw a line from F to D

5 0
2 years ago
Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) d
Doss [256]

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83

4 0
2 years ago
You make $5000 per morth. If you spend 50% on necessitles, 30% on stuff you want and 20% of it you end up saving, how much money
liubo4ka [24]

Answer:

$1000 per month

Step-by-step explanation:

5000 dollars is 100 percent so we put 5000 over 100

5000/100

then since we need to find 20 percent of something, we put x over 20

x/20

Then we cross multiply

<u>5000</u>      times       <u>x   </u>            

100                        20

so 100x = 100000

and x = 1000

Good luck, and hope I did this correctly

8 0
3 years ago
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3 meters below sea level represents a -3
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