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3 years ago

5

Given that (-7,-7) is on the graph of f(x), find the corresponding point for the function f(x-5)

1 answer:

elena-s [515]3 years ago

8 0

Answer: (-2,-7)

Step-by-step explanation:

A function f(x-c) , where c>0 , represents the horizontal shift of original function to the right c units.

The function f(x-c) is going to add c to the x value, while keeping the y value the same.

Similarly,

The function f(x-5) is going to add 5 to the x value, while keeping the y value the same.

So, the corresponding point to (-7,-7) on f(x-5) = (-7+5,-7)

= (-2,-7)

hence, the corresponding point to (-7,-7) on f(x-5) = (-2,-7)

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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

Is this set of ordered pairs a function ? (1,9) (0,8) (3,0) (4,9) (7,7).

AURORKA [14]

Answer:

It is not a function because the output of 9 repeats.

(1,9) (4,9)

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3 0

3 years ago

Allan put $7000 in a 2-year CD paying 3% interest, compounded monthly. After 2 years, he withdrew all his money. What was the am

aliya0001 [1]

I believe he would have $7,432 once he withdraws it. The formula is <span>A = P (1 + r/n)^<span>(nt)</span></span>

8 0

3 years ago

Gus makes 48 fluid ounces of spiced cider. If he serves an equal amount to each of 7 people, will each person get more than I cu

Anni [7]

Answer:

Each person get less than 1 cup of cider.

Step-by-step explanation:

1. Calculate the amount of cider served to each person:

Total amount of cider is 48 fluid ounces

Gus serves 7 people

Let Q the amouunt of cider served to each person:

$Q=\frac{48}{7}=6.85$

Then, each person recived 6.85 fluid ounces of spiced cider.

2. Calculate the number of cups served:

Considering that 1 cup=8 fluid ounces, then:

$Q=6.85\frac{1}{8}=0.85$

That means that each person recived 0.85 cups of spiced cider.

Each person get less than 1 cup of cider.

4 0

3 years ago

Read 2 more answers

$1,000 for 40 years at 8% annual simple interest

bekas [8.4K]

Answer:

$3200

Step-by-step explanation:

1000x40x8/100

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5 0

4 years ago