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3 years ago

Consider the graphs of the parent logarithmic function f and transformed function g.

Mathematics

1 answer:

enot [183]3 years ago

6 0

From the graph of the parent logarithmic function f and transformed function, to produce g

To produce g , function f was vertically stretched by a factor of 2

Function g is defined as 2f

<h3>How can a graph be modified</h3>

It is clear from the given graph that, the function g has a graph that is the stretch of f by a factor of 2.

For instance, for X=4, Y is 2 for f and 4 for g.

This proofs that, the g function is double to that of f function.

Therefore,

To produce g , function f was vertically stretched or expand by a factor of 2.

Function g is defined as 2f.

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A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-r

Keith_Richards [23]

Answer:

Part (A) The probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder is 0.286

Part (B) The probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder is 0.163.

Step-by-step explanation:

Consider the provided information.

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-related disorder, and 4% are diagnosed with both disorders.

P(M) = P(Mental disorder) = 24.5% = 0.245

P(A) =P(Alcohol-related disorder) = 14% = 0.14

P(M and A) =P(Both disorder) = 4% = 0.04

Part (A) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{P(M\ and\ A)}{P(A)}$

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{0.04}{0.14}=0.286$

Hence, the required probability is 0.286.

Part (b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder.

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{P(M\ and\ A)}{P(M)}$

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{0.04}{0.245}=0.163$

Hence, the required probability is 0.163.

8 0

3 years ago

What is the explicit formula for the arithmetic sequence 2, 7, 12, 17,

Ray Of Light [21]

Answer:

x + 5

Step-by-step explanation:

Every time it goes up by a factor of 5

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4 years ago

The lines below are parallel. If the slope of the green line is -3, what is the

siniylev [52]

Answer:

m=-3

Step-by-step explanation:

Since the lines are parallel to each other, their gradients are equal.

∴ gradient of green line = gradient of red line

∴ m = -3

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2 years ago

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9x2/3 help due in 3 min

sattari [20]

Answer:

Step-by-step explanation:

9/1 × 2/3

(9 × 2 = 18)

(1 × 3 = 3)

18 ÷ 3 = 6

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3 years ago

$5,000 is invested in two different accounts yielding 3% and 3.5% interest. The interest earned on the two accounts is $155.

MatroZZZ [7]

<span>Equations:
x + y = 5000
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30x + 30y = 150000
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y = $1000.00 (amt invested at 3.5%)

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x = $4000.00 (amt. invested at 3%)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

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