12. A number has an absolute value

Mathematics

1 answer:

Tema [17]3 years ago

8 0

Answer:

8 and -8

Step-by-step explanation:

cause thats how math work

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raul invests $1000 in a savings account that earns 5% interest compounded annually. how much money will he have in the account a

12345 [234]

Amount in the bank account = 1000(1 + 0.05)^5 = $1,276.28

3 0

3 years ago

Read 2 more answers

There are three exams in your linear algebra class, and you theorize that your score in each exam (out of 100) will be numerical

Romashka [77]

Answer:

a) 40 hours

b) 60 hours

C) 100 hours

Step-by-step explanation:

0.2a + 0.3b+0.5c = 76

Hence: 0.2* (0.2 λ) +0.3*(0.3 λ )+0.5*(0.5 λ ) = 76

0.38 λ =76

λ = 76/0.38 =200

Thus : 40, 60, 100

7 0

3 years ago

Max points!! help please!!! tyyyyy

krek1111 [17]

Answer:

b. 70

Step-by-step explanation:

The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.

<u>Binomial Coefficient</u>

$\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}$

The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.

As there are 8 friends ⇒ n = 8.

As each car takes 4 friends ⇒ r = 4.

Substitute these values into the formula:

$\begin{aligned} \implies \displaystyle \rm \binom{8}{4} \: = \:^{8}C_{4} & = \rm \frac{8!}{4!(8-4)!}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1\times 4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5}{4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{1680}{24}\\\\ & = \rm 70\end{aligned}$