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Hatshy [7]
2 years ago
8

If a relation is represented by a set of ordered pairs, explain how to determine whether the relation is a function.​

Mathematics
1 answer:
yulyashka [42]2 years ago
3 0

To determine if the relation is a function, no two ordered pair must have the same abscissa or x coordinate

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Find the total amount<br> $20,700 at 9% compounded<br> semiannually for 4 years
Phantasy [73]

Answer:

41,246.046 which could be rounded to .05 cents at the end.

Step-by-step explanation:

20700(1.09)^8

we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.

hope this helps, please rate and mark as brainelst.

4 0
2 years ago
How to solve this question. I need to show my work for this question.
IrinaK [193]

Step-by-step explanation:

Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:

\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) and \left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)

a) 12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}

b) 18 dozen cookies = 216 cookies

216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}

4 0
3 years ago
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
amm1812

Answer:

6546 students would need to be sampled.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that n = 200, \pi = \frac{118}{200} = 0.59

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}

0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}

\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2

n = 6545.9

Rounding up:

6546 students would need to be sampled.

3 0
3 years ago
Geometry help please
Neporo4naja [7]
P = 15 x 6 = 90
A = 1/2 P a = 1/2 (90)(20)
A = 900

answer B. 900
7 0
4 years ago
Write 6,000,370 in scientific notation.
adell [148]
First count the number of digits after the first one 6  This = 6 and is the exponent of 10  so the required notation is

6.000370 * 10^6
4 0
3 years ago
Read 2 more answers
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