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4 years ago

On call= 3.5 hours:$10 Talk Time= 1/2 hour: $1.25

1 answer:

6 0

On call = 3.5 hours for 10 dollars => ½ hour for 1.25 dollars. Now, let’s solve the unit rate for each company first = 3.5 hour / 10 dollars => 10 / 3.5 => Unit rate is 2.9 dollars/hr Second company = ½ hour for 1.25 dollars => 1.25 / .5 => 0.25 dollars / hr. Thus, the first company pays better than the second one because it pays 2.9 dollars every hour of talk compare to the 2nd one which pays only 0.25 dollars per hr.

Hope that helps =3

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3 years ago

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Eureka Math : 5 ÷ 1/3= ____. There are ___ thirds in 1 whole. There are ___ thirds in 5 wholes. If 5 is 1/3, what is the whole?

oksian1 [2.3K]

Let me edit your question to simplify it.

Eureka Math :

A)5 ÷ 1/3= ____.

B) There are ___ thirds in 1 whole.

C) There are ___ thirds in 5 wholes.

D) If 5 of 1/3, what is the whole? ___

E) 3 ÷1/5= ____ .

F) There are ___ fifths in 1 whole.

G) There are ___ fifths in 3 wholes.

H) If 3 of 1/5, what is the whole?___

Answer:

A) 15

B) three thirds

C) 15 wholes

D) whole is 2

E) 15

F) five fifths

G) 15 fifths

H) whole is 1

Step-by-step explanation:

$5$ ÷ $\frac{1}{3} =5*\frac{3}{1}$

$5$ ÷ $\frac{1}{3}=15$

Third:

third means $\frac{1}{3}$

To make 1 whole from thirds, we need three thirds i.e. $\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{3}=1\ Whole$

In 1 whole there are three thirds, so in 5 wholes there are $5*3=15$ wholes.

In $5\ of\ \frac{1}{3}=5*\frac{1}{3} =\frac{5}{3}$

$\frac{5}{3}=1.6$

The whole of $1.6$ or $\frac{5}{3}$ is 2 (rounding 1.6 to 2)

$3$ ÷ $\frac{1}{5}=3*5=15$

Fifth: means $\frac{1}{5}$

To make 1 whole of fifths we need five fifths i.e. $\frac{1}{5} +\frac{1}{5} +\frac{1}{5} +\frac{1}{5} +\frac{1}{5}=\frac{1+1+1+1+1}{5}=\frac{5}{5}=1$

In 1 whole we have 5 fifths, so in 3 wholes we have $3*5=15$ fifths

$3\ of\ \frac{1}{5}=3*\frac{1}{5}=\frac{3}{5}=0.6$

rounding 0.6 equals to 1

thus whole is 1.

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3 years ago

On rainy days, Joe is late to work with probability .3; on nonrainy days, he is late with probability .1. With probability .7, i

Likurg_2 [28]

Answer:

a) 76% probability that Joe is early tomorrow.

b) 64.47% conditional probability that it rained

Step-by-step explanation:

We have these following probabilities:

A 70% probability that it will rain tomorrow.

A 30% probability that it does not rain tomorrow.

If it rains, a 30% probability that Joe is late and a 100-30 = 70% probability that Joe is early.

if it does not rain, a 10% probability that Joe is late and a 100-10 = 90% probability that Joe is early.

(a) Find the probability that Joe is early tomorrow.

Either it rains(70% probability) and he is early(70% probability when it rains), or it does not rain(30% probability) and he is early(90% probability when it does not rain). So

$P = 0.7*0.7 + 0.3*0.9 = 0.76$

76% probability that Joe is early tomorrow.

(b) Given that Joe was early, what is the conditional probability that it rained?

By the Bayes theorem, this probability is:

The probability that it rained and he was early divided by the probability he was early.

Rained and early

70% probability it rains.

70% probability he is early when it rains.

$0.7*0.7 = 0.49$

Early

From a), 0.76

Probability

$P = \frac{0.49}{0.76} = 0.6447$

64.47% conditional probability that it rained

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4 years ago