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3 years ago

The manager of an accounting department wants to form a two

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

5 0

Answer: 153

Step-by-step explanation:

When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:

$C (N, K) = \frac{N!}{(N-k)!*K!}$

Where N! = N*(N - 1)*(N - 2)*...*2*1

In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).

Using the above equation we get:

$C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153$

There are 153 different ways in which the manager can do this.

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Write an equation of a line wit the given slope and y intercept

Orlov [11]

Answer:

Step-by-step explanation:

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3 years ago

Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she u

Alex787 [66]

Answer with explanation:

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4 years ago

Read 2 more answers

In ΔEFG, the measure of ∠G=90°, FG = 67 feet, and EF = 98 feet. Find the measure of ∠F to the nearest tenth of a degree.

Mama L [17]

Answer:

46.9 degrees is the answer

6 0

3 years ago

100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago

Need help pls answer asap. Sorry the photo quality is bad.

castortr0y [4]

Answer:

Step-by-step explanation:

1 + 3 = 4

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4 0

3 years ago