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4 years ago

State which of the following sets of ordered pairs represents a function. Please pick the best option

Mathematics

1 answer:

IRINA_888 [86]4 years ago

3 0

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range

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Sasha has $90 to spend on clothes. She wants to buy a pair of jeans for $27 dollars and spend the rest on t-shirts. Each t-shirt

umka21 [38]

Answer:

Step-by-step explanation:

Total money - What she uses in thePair of jeans = Money Available for t-shirts

90-27=63

Available Money/ Each T-shirt Value= Maximum Amount of T-shirts she can buy

63/9=7

Her max is 7

5 0

3 years ago

Simplify the Expression<br> - 1/2 (8b+3)+3b=

Anna35 [415]

Answer:

-b -3/2

Step-by-step explanation:

-1/2(8b+3) + 3B (a negative times a positive equals a negative)

1. Mutiply -1/2 by 8b and then by 3

(-1/2 x 8b -1/2 x 3) + 3b

-4b - 3/2 + 3b

2. Add -4b + 3b = -b

-b - 3/2

5 0

3 years ago

The Amazon rainforest is gradually being destroyed by pollution and agricultural and industrial development. For simplicity, sup

KATRIN_1 [288]

The Amazon rainforest is gradually being destroyed by pollution and agricultural and industrial development. For simplicity, suppose that each year, 10% of the remaining forest is destroyed. Assume, also for simplicity, that the present area of the Amazon rainforest is 1,200,000 square miles.
1.a) What will the area of the forest be after 1 year of this destruction process?
1.b) What will the area of the forest be after 2 years of this destruction process?
2) Make a graph showing your results from Question 1 and continuing through 5 years of the destruction process. Include the present situation as a point on your graph.
3) Find a rule for how much rain forest will remain after X years. That is, express the area of the rain forest as a function of X.

7 0

3 years ago

15% a football originally priced at $18.00

lesantik [10]

Answer:

2.7

Step-by-step explanation:

15% of 18.00 is 2.7

7 0

3 years ago

Laser scanning for fish volume estimation. engineers design tanks for rearing commercial fish to minimize both the use of natura

AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X=240$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=4-1=3$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that $t_{\alpha/2}=5.84$

Now we have everything in order to replace into formula (1):

$240-5.84\frac{15}{\sqrt{4}}=196.2$

$240+5.84\frac{15}{\sqrt{4}}=283.8$

So on this case the 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

What assumption about the data is necessary for the inference derived from the analysis to be valid?

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

4 0

3 years ago