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3 years ago

Given that (-8,-5) is on the graph of f(x), find

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

Answer:

(-6,-5)

Step-by-step explanation:

Let a function be f(x)

So, f(x-a) would be the same function BUT translated a units to the RIGHT.

So, that changes all x coordinates a units to the right (+a) and all the y-ccordinates remains same.

Our function goes through the transformation f(x-2), which means 2 units to the right, so we "ADD" 2 to all x-coordinates and y remains same.

Thus, the point (-8,-5) would become (-8+2,-5) = (-6,-5)

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The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc

Ludmilka [50]

Answer:

$\mu = 12.1\\\sigma = 0.3$

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

$z=\frac{x-\mu}{\sigma}$

$z=\frac{11.9-12.1}{0.3}$

$z=-0.67$

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

$z=\frac{x-\mu}{\sigma}$

$z=\frac{11.6-12.1}{0.3}$

$z=-1.67$

x= 11.9

We will use z score formula :

$z=\frac{x-\mu}{\sigma}$

$z=\frac{11.9-12.1}{0.3}$

$z=-0.67$

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

$z=\frac{x-\mu}{\sigma}$

$z=\frac{12.6-12.1}{0.3}$

$z=1.67$

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

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3 years ago

Monica’s checkbook register balance is $456.98. She has written checks in the amounts of $10.00, $14.95, $6.07, and $109.10. She

Setler79 [48]

456.98-10-14.95-6.07-109.10-30=286.86

So her new checkbook balance is $286.86

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3 years ago

What is 19 divided by 20 using long division & decimals?

andrew-mc [135]

Answer:

0.95

(Don't have paper, because I accidentally threw away paper )

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3 years ago

Please help me with this question!

Westkost [7]

Answer:

Your Answer Is 10

Step-by-step explanation:

1st Factor the Numerator and Denominator then cancel the common factor.

Hope It Help You If Yes then Please make me the Brainiest.

Thank You

Parshv

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Lisa [10]

The first one, |x|>-2

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3 years ago

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