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Nadine saw that there was 4/5 of a pie left after their family picnic. Each slice of pie was 1/15 of the total pie. How many sli

Virty [35]

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = $\dfrac{1}{15}$

Remaining part of total pie in x slices = $\dfrac{1}{15}x$

According to the question, 4/5 of a pie left after their family picnic.

$\dfrac{1}{15}x=\dfrac{4}{5}$

Using cross multiplication, we get

$5\times x=15\times 4$

$5x=60$

Divide both sides by 5.

$x=12$

Therefore, the remaining number of slices of pie is 12.

4 0

3 years ago

Find the odds of each of the following events. (a) an event E with Pr(E) = 4/7 (b) an event E with Pr(E) = 0.6 (a) The odds are

Dafna1 [17]

Answer:

(a) The odds of event E is 4/3.

(b) The odds of event E is 3/2.

Step-by-step explanation:

Formula for probability of an event:

$Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Formula for odds of an event:

$odds=\frac{\text{Favorable outcomes}}{\text{Unfavorable outcomes}}$

(a)

It is given that

$P(E)=\frac{4}{7}$

The probability of unfavorable event

$P(E')=1-P(E)=1-\frac{4}{7}=\frac{3}{7}$

Odds of event E is

$odds=\frac{P(E)}{P(E')}$

$odds=\frac{\frac{4}{7}}{\frac{3}{7}}$

$odds=\frac{4}{3}$

Therefore the odds of event E is 4/3.

(b)

It is given that

$P(E)=0.6$

The probability of unfavorable event

$P(E')=1-P(E)=1-0.6=0.4$

Odds of event E is

$odds=\frac{P(E)}{P(E')}$

$odds=\frac{0.6}{0.4}$

$odds=\frac{3}{2}$

Therefore the odds of event E is 3/2.

3 0

3 years ago

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights ear

Phantasy [73]

Answer: option a. A customer earns 1 free night per 10 nights stayed.

Explanation:

Building a table can help you:

x: number of nigths stayed ---------- f(x) = 1/x: number of free nights

10 --------------------------------------------- 10/10 = 1

20 -------------------------------------------- 20/10 = 2

30 -------------------------------------------- 30/10 = 3

40 -------------------------------------------- 40/10 = 4

Then, the pattern permits you to conclude that a customer earns 1 free night per each 10 nights stayed, which is the option a.

5 0

3 years ago

Read 2 more answers

Facto made chicken dish for dinner. She added a 10-ounce package of vegetables and 14-ounce package of rice to 40 ounces of chic

grandymaker [24]

The answer is four pounds

7 0

4 years ago

Read 2 more answers

Divide sh 810,000 among Sarah, John, Monica in ratio 4:3:2 respectively.

Marat540 [252]

Answer:

Step-by-step explanation:

Let,4x,3x, and 2x be the share .

Now we have,

$4x+3x+2x=810000\\\\9x=810000\\\\x=\frac{810000}{9} \\\\x=90000$

Again,

Share of Sarah=4x=4×90000=360000

Share of John=3x=3×90000=270000

Share of Monica=2x=2×90000=180000

6 0

3 years ago