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Katen [24]
1 year ago
6

Suppose g(x)=f(x-3)-4. which statement best compares the graph of g(x) with the graph of f(x)

Mathematics
1 answer:
saw5 [17]1 year ago
8 0

Answer:

D.) The graph of g(x) is shifted 3 units right and 4 units down

Step-by-step explanation:

When a number is added directly to an "x" variable, the graph of the function shifts to the left. When this number is negative, the graph shifts to the right. Therefore, if a -3 is directly modifying the "x" variable, the graph shifts 3 units to the right.

When a number is added to the overall function, the graph of the function shifts up. When this number is negative, the graph shifts down. Therefore, if a -4 is being added to the overall function, the graph shifts down 4 units.

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The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute
kirza4 [7]

Answer:

P(X

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(412,68)  

Where \mu=412 and \sigma=68

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

4 0
3 years ago
Emilio writes the inequality 17(f+2)+45.99<200 The situation using the variable as to represent the number of friends solve a
larisa [96]

Answer:

7 friends

Step-by-step explanation:

Given the inequality expression

17(g+2)+45.99<200

We are to find the value of g that satisfies the inequality

Expand

17g+34 +45.99<200

17g+79.99<200

Subtract 79.99 from both sides

17g+79.99-79.99<200-79.99

17g<120.01

g<120.01/17

g<7.059

Hence the max number of friend that can attend is 7friends.

7 0
3 years ago
A triangle that has no sides of equal length and one angle greater than 90° is which type of triangle?
Ganezh [65]

Answer:

It’s a obtuse triangle/scalene triangle

Step-by-step explanation:

Giving the information that is provided if the sides are not equal then it seems to be that the correct answer would be Obtuse Scalene

6 0
2 years ago
Read 2 more answers
I will give brainlist
Anestetic [448]

Answer:

C.

Hope this helped!!!

4 0
3 years ago
Again i will give brainllest to the 1st one who solves this!!!<br> 4+4=x solve for x
igor_vitrenko [27]

Answer:

x=8

Step-by-step explanation:

4+4=x

4+4=8

x=8

6 0
2 years ago
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