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sineoko [7]
3 years ago
7

What is the function?

Mathematics
2 answers:
Jet001 [13]3 years ago
8 0

Answer:

C. f(x)= 0.5(3ˣ)

Step-by-step explanation:

C. f(x)= 0.5(3ˣ) is the function as per table

sineoko [7]3 years ago
5 0

Answer:

C

Step-by-step explanation:

For the exponential function in the form

y = a b^{x}

Use ordered pairs from the table to find a and b

Using (0, 0.5 ), then

0.5 = a b^{0} ( b^{0} = 1 ), thus

0.5 = a

y = 0.5 b^{x}

Using (1, 1.5 ) , then

1.5 = 0.5 b^{1} , hence

b = \frac{1.5}{0.5} = 3

Thus

f(x) = 0.5(3^{x}) → C

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8.71 xx10^(12)

The exponent is a positive number. This means the decimal point moves to the right by  the number of the exponent.

There are two digits to the right of the decimal point, so to move the decimal 12 places, you would need to add 10 zeros.

8.71 x 10^12 becomes 8,710,000,000,000.

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Let f(x)=4x+9. Write a function g whose graph is a reflection in the y-axis of the graph of f. g(x)= ?
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Answer:

g(x)=-4x+9

Step-by-step explanation:

So we know that:

f(x)=4x+9

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1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)
Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that \mu = 8, \sigma = 1.5

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{9.5 - 8}{1.5}

Z = 1

Z = 1 has a p-value of 0.8413.

X = 6.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.5 - 8}{1.5}

Z = -1

Z = -1 has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

7 0
3 years ago
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