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3 years ago

Help please!! Step by step!!

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

Answer:

$P(Ice Cream|Frogtown) = 67.4\%$

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

$P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}$

From the attachment;

$P(Ice\ Cream\ n\ Frogtown) = 0.31$

$P(Frogtown) = 0.31 + 0.15 = 0.46$

So, we have:

$P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}$

$P(Ice Cream|Frogtown) = \frac{0.31}{0.46}$

$P(Ice Cream|Frogtown) = 0.6739$

Express as percentage

$P(Ice Cream|Frogtown) = 0.6739 * 100\%$

$P(Ice Cream|Frogtown) = 67.39\%$

$P(Ice Cream|Frogtown) = 67.4\%$ -- approximated

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3 years ago

PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformatio

Montano1993 [528]

Answer:

$g(x) = 12 {e}^{ - x - 7}$

Step-by-step explanation:

The parent function is

$g(x) = e {}^{x}$

First it is asked to reflect over the y axis so using the rule

$g(x) = g( - x)$

Our function looks like

$g(x) = e {}^{ - x}$

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

$g(x) = g(x - h)$

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

$g(x) = a \times g(x)$