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4 years ago

Please help me , I have been try to solve it for 2 hours. thank you very much.

Mathematics

1 answer:

Alexxandr [17]4 years ago

3 0

Answer:

See the three answers with their explanation below

Explanation:

<u>a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.</u>

In this case it is 2×3 = 6

See how you do it:

$6\times \frac{1}{2}(x-4)=6\times \frac{1}{3}x+6\times 2\\ \\ 3(x-4)=2x+12$

<u>b. This word problem would lead to the given equation:</u>

Half the age of Alice 4 years ago equals 2 more than one third of her current age.

Current age: x
Age four years ago: x - 4
Half the age of Alice four years ago: $\frac{1}{2}(x-4)$

2 more than one third of her current age: $2+\frac{1}{3}x=\frac{1}{3}x+2$

Equality condition:

$\frac{1}{2}(x-4)=\frac{1}{3}x+2$

<u>c. Solution</u>

$\frac{1}{2}(x-4)=\frac{1}{3}x+2\\ \\ 3(x-4)=2x+12\\ \\ 3x-12=2x+12\\ \\ x=24$

Meaning: Alice is currently 24 years old.

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Which of the following statements are not true in developing a confidence interval for the population mean?

frutty [35]

Answer:

b) The width of the confidence interval becomes narrower when the sample mean increases.

Step-by-step explanation:

The confidence interval can be calculated as:

$\bar{x} \pm \text{Test Statistic}\displaystyle\frac{\sigma}{\sqrt{n}}$

a) The width of the confidence interval becomes wider as the confidence level increases.

The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.

b) The width of the confidence interval becomes narrower when the sample mean increases.

The above statement is false. As the sample mean increases the width of the confidence interval increases.

c) The width of the confidence interval becomes narrower when the sample size n increases.

The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.

8 0

3 years ago

Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.

Marysya12 [62]

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

$\ln25+\ln1$
$\ln25$

Given information-

The expression given in the problem is,

$\ln x+2 \ln 5 +\ln1$

<h3>Equivalent expression-</h3>

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

$\ln x+2 \ln 5 +\ln1$

As the above function is the function of <em>x. </em>Thus it can be written as,

$f(x)=\ln x+2 \ln 5 +\ln1$