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Alecsey [184]
3 years ago
13

Can someone plz give me the answer for this question?

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = e^{2x} - 4

let f(x) = y

y = e^{2x} - 4

Switch x and y and solve for y, that is

x = e^{2y} - 4 ( add 4 to both sides )

x + 4 = e^{2y}

Take the ln of both sides

ln(x + 4) = ln e^{2y} = 2y ln_{e} = 2y

Divide both sides by 2

y = \frac{ln(x+4)}{2}, that is

f^{-1} (x) = \frac{ln(x+4)}{2}

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If n = the term number, then:
A(4) = 6-4(4-1)
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3 years ago
If the measure of angle BDC=100°, measure of angle A = 50°, and measure of angle DBC= 30°. which statement is true?
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7 0
3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
3 years ago
Multiply the sum of X and Y by 5 and divide the result by the product of two and a​
kvv77 [185]

Answer:

\frac{5(x+y)}{2a} or you could write it as 5(x+Y) ÷ 2a

Step-by-step explanation:

So this is a question that kind of uses spoken words rather than numbers and it involves PEMDAS (if you haven't gotten to PEMDAS yet, don't worry about it, it's ok, it's easy). PEMDAS is simply an acronym for Parenthesis, Exponent, Multiply, Divide, Add, Subtract. Its the order in wwhich you do more complicaterd math problems.

Lets break apart the question:

- We have the sum of x and y, we just write that as x+y

- We have that sum multiplied by 5, we have the sum from the step above, now we'll multiply that by 5. 5(x+y) parenthesis means multiply what is outside with what is inside.

- We have the product (multiply) of 2 and a, 2 times a = 2a.

- We divide the x, y, and 5 term with the 2, a term. Take the first part 5(x+y) and divide it by the second part 2a.

6 0
3 years ago
Real answers and explanations ONLY! I’ll name you brainiest if correct
Juli2301 [7.4K]

Answer:

  • 1/10⁶ or 0.000001

Step-by-step explanation:

<u>For every time you have a probability of getting 1 is:</u>

  • P(1) = 1/10

<u>For all 6, the probability of outcome of 1 is:</u>

  • P(1x6) = (1/10)⁶ = 0.000001
8 0
2 years ago
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