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Mathematics

1 answer:

Mademuasel [1]2 years ago

3 0

Step-by-step explanation:

A quotient is a fraction.

A sum is addition.

A variable is an unknown number shown by using a letter.

Therefore, the answers for quotient and variable in this picture should be switched. However, the negative sign has to be included, so the quotient should be a -9/y.

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Cadie is going to toss three coins simultaneously. What is the probability that exactly two of the coins will land on heads?

Contact [7]

For each coin, there are 2 outcomes, heads (H) or tails (T), so for the 3 coins, the number of outcomes are:

2 x 2 x 2 = 8 outcomes:

HHH / HHT / HTH / THH / TTT / TTH / THT / HTT

Out of all these outcomes, there are 3 ways, we get exactly 2 Heads:

HHT / HTH / THH

So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375

4 0

2 years ago

Is the following inequality true : 4 <_ 4 ?

marissa [1.9K]

Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

8 0

2 years ago

Solve the equation for x:

never [62]

3x - 17 = 9x + 7

Rearrange on same sides
-17 - 7 = 9x - 3x
-24 = 6x

Divide by 6 on either sides to isolate 6
$-\frac{24}{6} = \frac{6x}{6}$
6 and 6 cancels out
-4 = x

Answer is:
B. x = -4

8 0

3 years ago

(a) A photography student borrows RM2 500 to buy a camera. The bank loans this money at a rate of 9 % capitalized monthly. What

Monica [59]

Answer:

The student will have to reimburse 2,991.03 two years later.

Step-by-step explanation:

This is a compound interest problem:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

A is the amount the student will have to reimburse two years later.

P is his loan. so $P = 2,500$

The bank loans this money at a rate of 9 % capitalized monthly. This means that $r = 0.09$ and $n = 12$ , since the money is compounded monthly, this means, 12 times in a year.