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3 years ago

What is the solution to the equation 2/3x-2=2/7

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

5 0

Answer:

x= 24 /7

Step-by-step explanation:

2 /3x−2= 2/7

add 2 both sides

multiply by both sides by 3/2.

irga5000 [103]3 years ago

3 0

Answer:

x=3

Step-by-step explanation:

2/3(3)-2=2/7

2/9-2=2/7

2/7=2/7

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Which expression is equivalent to?

AlekseyPX

Answer:

Step-by-step explanation:

multiply the inside by -0.5

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2 years ago

Read 2 more answers

Liam is going on a vacation to Australia. His flight leaves at 3:15 P.M. It takes 1 hour and 35 minutes to get to the airport, a

Leni [432]

Answer:

12:40 is the anwser

Step-by-step explanation:

If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so

3:15 minus 1 hour is 2:15

2:15 minus 35 minutes is 1:40

so now he wants to be and hour and 35 minutes earlier so the anwser would be

2:15 minus 1 hour is 1:15

1:15 minus 35 minutes is 12:40

8 0

2 years ago

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that $\mu = 8.7, \sigma = 20.2$

40 years:

This means that $n = 40, s = \frac{20.2}{\sqrt{40}}$

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$