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Masja [62]
3 years ago
14

How many combinations of four books can be made from eight different books? 24 70 1,680?

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

70

Step-by-step explanation:

four books can be made from eight different books

4 books to be chosen from 8 books

The order does not matters so we use Combination.

four books can be made from eight different books, so we find 8C4

nCr= \frac{n!}{r!(n-r)!}

8C4= \frac{8!}{4!(8-4)!}

8C4= \frac{8!}{4!(4)!}

8C4= \frac{8*7*6*5*4!}{4!(4)!}=70

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The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term, but a
Tom [10]

Answer:

H₀: µ ≤ $8,500; H₁: µ > $8,500

z= +1.645

Step-by-step explanation:

From the given problem  As average cost of tuition and room and board at a small private liberal is less than the financial administrator As hypothesis is true.

As standard deviation is $ 1,200

α = 0.05

H₀: µ ≤ $8,500

if the null hypothesis is true then value for critical z is +1.645.

6 0
3 years ago
Elevation is a measure of height in relation to sea level. The highest feature on Earth is Mount Everest with an elevation +29,0
Sphinxa [80]

Answer:

Sea\ Level = 0\ ft

The farthest point is the Challenger Deep

Step-by-step explanation:

Given

Highest = +29029ft

Least = -35,797ft

Solving (a): The sea level

Both elevations had signs in front of them.

The sea level is the point at the neutral level, neither positive nor negative.

Hence:

Sea\ Level = 0\ ft

Solving (b): Farthest Point.

The farthest point is the one with the highest magnitude.

Comparing

Highest = +29029ft  to   Least = -35,797ft

-35,797 ft has the highest magnitude.

Hence:

<em>The farthest point is the Challenger Deep</em>

5 0
3 years ago
Factor the common factor out of the expression 8+20a+18a^2
ruslelena [56]
First let's rewrite it...

18a^2 + 20a + 8

Factor out a 2

2 (9a^2 + 10a + 4)
5 0
3 years ago
How do I solve this finding the first four of the sequence?
irga5000 [103]

Answer:

Step-by-step explanation:

a(1) = -7 (given)

a(2) = a(1) + 4 = -7 + 4 = -3

a(3) = a(2) + 4 = -3 + 4 = 1

a(4) = a(3) + 4 = 1 + 4 = 5

and so on.

4 0
2 years ago
Read 2 more answers
Events C and D are____.<br><br> P(A) = 1/3<br> P(B) = 1/3<br> P(A ∩ B) = 0<br> P(A | B) ≠ 0
snow_tiger [21]
The answer is A hope you get it right (:
6 0
3 years ago
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