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3 years ago

What is the value of in e^4? A.0 B.1 C.2 D.4

Mathematics

2 answers:

Alex777 [14]3 years ago

7 0

The answer should be D.

Hope it helped you.

UNO [17]3 years ago

4 0

Answer:

Option D is correct.

The value of $\ln e^4$ is, 4

Step-by-step explanation:

Given that: $\ln e^4$

This is a logarithmic function with base e.

Using trigonometric rule:

$\ln a^b = b\ln a$

$\ln e = 1$

Apply these rule on the given function.

$\ln e^4 = 4 \ln e = 4 \times 1 = 4$

therefore, the value of $\ln e^4$ is, 4

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An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 23 home

yanalaym [24]

Using the t-distribution, it is found that:

a. The margin of error is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

Sample mean of $\overline{x} = 24$ .
Sample standard deviation of $s = 9$ .
Sample size of $n = 23$ .

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The confidence interval is:

$\overline{x} \pm M$

The margin of error is:

$M = t\frac{s}{\sqrt{n}}$

Item a:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 23 - 1 = 22 df, is t = 2.508.

Then, the margin of error is:

$M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7$

Item b:

The interval is:

$\overline{x} - M = 24 - 4.7 = 19.3$

$\overline{x} + M = 24 + 4.7 = 28.7$

The 98% confidence interval for the population mean is (19.3, 28.7).

A similar problem is given at brainly.com/question/15180581

3 0

2 years ago

Name the fraction equivalent to 20 over 6

navik [9.2K]

10/3. To find this answer you have to either multiply or divide by a specific number. You choose the number that goes into each of them. In this case I divided by 2 to both the top and bottom number. When I did this I got the answer of 10/3

8 0

3 years ago

Read 2 more answers

(7x²+8+5)+(3x²-2x-2) add polynomials

eimsori [14]

Answer:

10x²+11-2x

Step-by-step explanation:

I hope you mean 7x²+8+5, not 7x²+8x+5.

We need to combine like terms. Anything with squared should be added together, et cetera.

(7x²+8+5)+(3x²-2x-2)

You can take out the parenthesis, because they don't matter in addition.

7x²+8+5+3x²-2x-2

Add the terms, step by step. Each bold pair needs to be added together.

7x²+8+5+3x²-2x-2

10x²+8+5-2x-2

10x²+11-2x

Now there's no more we can add together.

3 0

3 years ago

h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b

Nesterboy [21]

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

Given the function $h(x)=\dfrac{1}{8}x^3-x^2$

The average rate of change of the function h(x) over the interval $a\le x\le b$ can be calculated using formula

$\dfrac{h(b)-h(a)}{b-a}$

In your case,

$a=-2,\\ \\b=2,$

so the average rate of change is

$\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}$

6 0

3 years ago

Please help me !! ASAP!

Anettt [7]

Answer:

3√265

Step-by-step explanation:

The distance between the given points is √265. If all the side are the same length on an equilateral triangle, then the perimeter is 3 times as long.

3 0

3 years ago