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balandron [24]
3 years ago
7

What is the first step to solving the following equation?5x –11 = 42

Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

add the 11 to both sides to cancel it out.

Step-by-step explanation:

so basically

5x - 11 + 11 = 42 +11

5x = 53

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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard d
Ostrovityanka [42]

The margin of error of the random selection is 0.29

The given parameters are:

n = 320 --- the sample size

\sigma = 2.9 --- the standard deviation

\bar x = 24 --- the mean

\alpha = 90\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{3.2^2}{320}}

E = z \times \sqrt{\frac{10.24}{320}}

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

E = 1.645 \times \sqrt{\frac{10.24}{320}}

E = 1.645 \times \sqrt{0.032}

Take square roots

E = 1.645 \times 0.1789

Multiply

E = 0.2943

Approximate

E = 0.29

Hence, the margin of error is 0.29

Read more about margin of error at:

brainly.com/question/14396648

5 0
2 years ago
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How do you solve equations and check for solutions
Kobotan [32]
It all depends on the math question but usually you solve for x, then check it. Plug x back in and see if it works. But it all depends on the math problem

3 0
3 years ago
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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting P=14000,r=0.10,n=2,t=11 in the above formula, we get

A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}

A=14000\left(1+0.05\right)^{22}

A=14000\left(1.05\right)^{22}

A\approx 40953.65

Therefore, the accumulated value of the given investment is $40953.65.

8 0
2 years ago
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Which of the following are ways whole numbers and rational numbers are different? Select all that apply. ︎whole numbers are a su
mihalych1998 [28]

Answer:

asd

Step-by-step explanation:

asd

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3 years ago
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