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kiruha [24]
2 years ago
5

Help me pls

Mathematics
1 answer:
aksik [14]2 years ago
4 0

Answer:

We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:

f(x) = 3*(4)^x + 45

We do not know the initial function, but with the given information we can assume that the original equation is:

g(x) = 3*(4)^x

Then the new function is:

f(x) = g(x) + 45.

This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:

k(x) = h(x) + N

if N is positive, we have a translation of N units up

if N is negative, we have a translation of N units down.

in this case we have;

f(x) = g(x) + 45

This means that f(x) is a vertical translation of 45 units of g(x), then:

the graph of the new function is 45 units above the original function.

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Analyze this student's work. What did the student do correctly? What did he do incorrectly?
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3 years ago
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. I
HACTEHA [7]

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36]  = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42]  = 42/72  = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84]  = 30

30/42  = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.

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