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EleoNora [17]
3 years ago
15

A manager must select 5 delivery locations from 9 that are available. Find the number of

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
C^9_5=\dfrac{9!}{5!4!}=\dfrac{6\cdot7\cdot8\cdot9}{2\cdot3\cdot4}=2\cdot7\cdot9=126
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Trigonometry
Alla [95]

90° is equal to  \frac{\pi}{2} or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 90°,

90 (\frac{\pi}{180} ) = \frac{\pi}{2}.

0.5 \pi = 1.5707 radians.

So 90° is equal to \frac{\pi}{2} or 1.5707 radians.

3 0
4 years ago
Simplify the expression <br>(2x-6) - (4x+4)​
ollegr [7]

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4)​    multiply (4x+4)​  by -1   -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4  Re-arrange

2x - 4x - 6 - 4

-2x - 10

5 0
3 years ago
A van travels 320 miles on 16 gallons of gas. Find how many gallons the van needs to travel 420 miles
MrRissso [65]

The van needs 21 gallons of gas. Take 16/(320/420)

3 0
4 years ago
A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?​
Elina [12.6K]

Answer:

  P55,000

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale(s).

  commission = rate × sales

  commission = 0.10 × p550,000 = P55,000

The agent will receive P55,000 in commission.

_____

<em>Check</em>

The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.

3 0
2 years ago
Draw a two-card hand from a well-shuffled standard deck of cards. Given that the first card is a King, what is the chance the se
Leni [432]

Answer:

P ≈ 0,94

Step-by-step explanation:

The normal deck of cards consists of  52 cards, (with 4 kings )

If we take a king a deck will have 51 cards ( three kings )

The probability to get a non-king card is

Probability of non-king card (P)  = 1 - Probability of getting a king card (P₁)

Probability of getting a king card  P₁= 3/51 ≈ 0,059

Then P = 1 - 0,059

P ≈ 0,94

7 0
3 years ago
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