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3 years ago

Solve the following equation. Round your answer to the nearest thousandth.

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Steps to solve:

$9^x=4$

~Take log of both sides

$log(9^x)=log(4)$

$x*(log(9))=log(4)$

$x = \frac{log(4)}{log(9)}$

$x = 0.63093$

~Round to the nearest thousandth

0.63093 → 0.631

Best of Luck!

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Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

Online By Mail Total

Male 12 8 20

Female 24 6 30

Total 36 14 50

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

$\frac{6}{50}$ P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$

Now, Probability that customer is female = $\frac{30}{50}$

Also, Probability that customer pays bill by mail and is female = $\frac{6}{50}$

So, Required probability = $\frac{\frac{6}{50} }{\frac{30}{50} }$

= $\frac{6}{50}\times \frac{50}{30}$

= $\frac{1}{5}$ = 0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

6 0

3 years ago

The sales at Marty's Meat Market increased from $130,000 per month to $136,500. Determine the percent increase.

kicyunya [14]

Hello! For this question, we are looking for the percent of change. The formula for percent of change is change/original = x/100, where change is tge difference between two numbers, and the original is the previous number. 136,500 - 130,000 is 6,500. The original number is 130,000. It would be set up like this:

6,500/130,000 = x/100

Let's cross multiply the values. 6,500 * 100 is 650,000. 130,000 * x is 130,000x. That makes 650,000 = 130,000x. Now, divide each side by 130,000 to isolate the x. 130,000x/130,000 cancels out. 650,000/130,000 is 5. There. x = 5% increase. The answer is A: 5%.

8 0

4 years ago

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in t

julsineya [31]

Well, 5 is less than 6, but -5 is bigger than -6, so it's when you multiply by a negative number.

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3 years ago

Convert the following number to a percent 68/ 23 If needed, round to the nearest whole.

zepelin [54]

Step-by-step explanation:

$\frac{68}{23}$