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kvv77 [185]
2 years ago
9

A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are

possible if the order doesn't matter.
Mathematics
2 answers:
skad [1K]2 years ago
4 0

Answer: 363242880

Step-by-step explanation:

We know that the of to calculate the number of combinations, we use the formula :-

^nC_r=\dfrac{n!}{r!(n-r)!}, where n : the total number of items

r: the number of items being chosen at a time.

Given: The total number of scarves contained in a box= 14

The number of scarves picked = 4

The number of different combinations is given by :-

^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880

Hence,  If 4 scarves are picked randomly from the box, <u>363242880</u> different combinations are possible if the order doesn't matter.

Irina18 [472]2 years ago
3 0
This would be 14C4   = (14*13*12*11) / (4*3*2*1)  =   1001
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Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.

The table was not provided, but it is not necessary since the exponential regression equation was provided.

The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ

where:
a = initial value of the model
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x = time passed from the beginning

In our case,
y = 9.92 · (0.8208)ˣ

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a = 9.92
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Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.

We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11

Now, substitute this value in the equation:
<span>y = 9.92 · (0.8208)</span>¹¹
   = 1.13

In 2011 we can predict there will be only 1.13 million VHS movie rentals.
3 0
2 years ago
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During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
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So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

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Hope this helped! :)
6 0
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You are having a meeting with the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit
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The shape of the graph is similar to the letter W; however, the region of interest will lie on the right of the origin, which means only the right half of the W(a negative number of cans cannot be produced). The profit produced will be maximized if the number of cans produced is greater than 3. The company will be at a loss if the number of cans produced is near 2.5. The break even situations are present if the company produces 2 or 3 cans.
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Answer: equations 1,3,4 and 5 stated has solutions.

Step-by-step explanation:

From the question, (x + 5) + 5 = (x + 5) + 5

The equations that represent the situation are:

1. x + 5 = (5 − x) − 5 :which has one solution

2. x + 5 = (x + 5) − 5 : many solutions

3. x + 5 = (x + 5) − 5: no solution

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You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

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the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
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