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neonofarm [45]
3 years ago
15

Mike is picking out 4 books to read out of collection of 12. How many ways can the books be picked?

Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0
You have to choose 4 books out of 12 books. You can choose any 4 books.

You can do that in 12C4 ways.

{}^{12} C_4 = \frac{12!}{4! \times (12 - 4)!} \\ \\ = \frac{12!}{4! \times 8!} \\ \\ = \frac{12 \times 11 \times 10 \times 9}{4 \times 3 \times 2 \times 1} \\ \\ = 495 \\

You can choose 4 books in 495 ways.
AURORKA [14]3 years ago
6 0
3 sets or it you could divide which would still give you 3
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8. For circle A, the circumference is 31.4 ft. What is the area? Use 3.14 for pi
telo118 [61]

Answer:

\huge\boxed{\sf A = 78.5\ ft\²}

Step-by-step explanation:

Circumference = C = 31.4 ft

We know that,

<h3>C = 2πr</h3>

Where, r is the radius

31.4 = 2(3.14)r

31.4 = 6.28(r)

Divide 6.28 to both sides

31.4/6.28 = r

5 ft. = r

<h3>r = 5 ft.</h3>

Now,

<h3><u>Finding area:</u></h3>

A = πr²

A = (3.14)(5)²

A = (3.14)(25)

<h3>A = 78.5 ft²</h3>

\rule[225]{225}{2}

7 0
2 years ago
Read 2 more answers
22. Write the equation in Slope-Intercept form of the line with an x-intercept of 2
Thepotemich [5.8K]

Answer:

y = \frac{1}{2} x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts

m = \frac{-1-0}{0=2} = \frac{-1}{-2} = \frac{1}{2}

The y- intercept is - 1 ⇒ c = - 1

y = \frac{1}{2} x - 1

5 0
3 years ago
Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of
Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is C=25(1.025)^x

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28

It will take 28 years

5 0
3 years ago
What is the common difference for the arithmetic sequence?
kramer
The common difference is -6.

Because,
14 - 6 = 8
 8 - 6 = 2
 2 - 6 = -4
 -4 - 6 =-10
5 0
3 years ago
Read 2 more answers
If a person rolls a six dash sided dierolls a six-sided die and then flips a coinflips a coin​, describe the sample space of pos
Olegator [25]

Answer:

S={1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Step-by-step explanation:

The sample space for a six sided die is {1,2,3,4,5,6} as there are 6 possible outcomes and for flipping a coin is {H,T} as there are two possible outcomes.

If a person rolls a six sided die and then flips a coin then the sample space for this event will be written as

S={1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}.

The number of elements in the sample space are

n(S)=12.

7 0
3 years ago
Read 2 more answers
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