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NeTakaya
3 years ago
13

Use the graph of the function y=4^x to answer the following questions

Mathematics
2 answers:
ozzi3 years ago
8 0

The domain of a function is all the x-values which it passes through.  The function is a continuous exponential function, and therefore, it will contain every x value.  The answer is:

The domain of the function is negative infinity to positive infinity.

Hope this helps!!

IgorC [24]3 years ago
3 0

Answer: negative infinity

Positive infinity

Zero

Positive infinity

Step-by-step explanation: On e2020 yw

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MIA PLAYED A VIDEO GAME. SHE STARTED WITH 10 1/2 POINTS. IN THE FIRST ROUND, SHE EARNED 5 1/4 POINTS. SHE LOST 2 1/2 POINTS IN R
dolphi86 [110]
9 2/4

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5 0
2 years ago
You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob
Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c)   P(win first game)  = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game)  × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

P(X = 0)  =  P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game)  × P(win second game)] + [ P(win first game)  × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value  \mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66

f) Variance \sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844

Standard deviation \sigma=\sqrt{variance} = \sqrt{0.3844}=0.62

8 0
3 years ago
3. Heating from the sun is more direct at the equator then at the North and
inna [77]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The product of 3 and a number X is 2/3 what is the value of X
ANEK [815]

Answer:

x = 2/9

Step-by-step explanation:

3x = 2/3

3*3x = 2

9x = 2

x = 2/9

Check:

3*2/9 = 2/3

6/9 = 2/3

5 0
3 years ago
Answer true or false to each statement concerning a confidence interval for a population mean. Give reasons for your answers. a.
Rainbow [258]

Answer:

(a) True

(b) True

(c) False

(d) True

Step-by-step explanation:

The general form of a confidence interval is:

CI=SS\pm MOE

Here,

SS = Sample statistic

MOE = margin of error

The formula to compute the MOE is:

MOE=\frac{length}{2}

Here, length implies the length of the confidence interval.

(a)

The statement is:

"The length of a confidence interval can be determined if you know only the margin of error."

The length of the confidence interval is twice the MOE.

So, yes one can compute the length of the confidence interval if they know the value if MOE.

The statement is True.

(b)

The statement is:

"The margin of error can be determined if you know only the length of the confidence interval."

The margin of error of the confidence interval is half the length.

So, yes one can compute the MOE if they know the length of the confidence interval.

The statement is True.

(c)

The statement is:

"The confidence interval can be obtained if you know only the margin of error."

The confidence interval formula is:

CI=SS\pm MOE

So, if we only knew the value of MOE we cannot compute the confidence interval. We will also need the value of the sample statistic.

The statement is False.

(d)

The statement is:

"The confidence interval can be obtained if you know only the margin of error and the sample mean"

The confidence interval formula is:

CI=SS\pm MOE

So, if we knew the value of MOE and the sample statistic we can compute the confidence interval.

The statement is True.

5 0
3 years ago
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