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3 years ago

Determine if the following relation represents a function or not.

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

It is a function.

Step-by-step explanation:

Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.

{(2,3), (4,3), (6,3), (5,9), (3,9)}

There are no repeating x-values given.

The relation should be a function.

Hope this helps.

You might be interested in

How do you add 1/3 and 1/6 together?

Leya [2.2K]

Multiply the numerator and denominator of the first question by 2 in order for both of the denominators to be the same.

1*2=2
3*2=6

Now that the denominators are the same, we can simply add the numerators and simplify if possible.

(2/6)+(1/6)= (3/6)

(3/6)= (1/2)

Final answer: 1/2

8 0

3 years ago

Read 2 more answers

PLEASE HEP ME QUICK!!!!: Tom travels between the two mile markers shown and then finds his average speed in miles per hour. Sele

slega [8]

Answer:

$speed=\frac{195\ miles}{3\ hours}$

$3\ hours=\frac{195\ miles}{speed}$

$3\ hours*(speed)=195\ miles$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the distance in miles

y ----> the time in hours

$speed=\frac{x}{y}$

we have

The distance is equal to subtract 35 miles from 230 miles

$x=230-35=195\ miles$

The time is equal to subtract 1:30 pm from 4:30 pm

$y=4:30\ pm-1:30\ pm=3\ hours$

substitute in the formula of speed

$speed=\frac{195\ miles}{3\ hours}$

Isolate 3 hours

$3\ hours=\frac{195\ miles}{speed}$

Isolate 195 miles

$195\ miles=3\ hours*(speed)$

7 0

3 years ago

The Candela brothers own two pizza restaurants, one on Park Street and one on Bridge Road.

koban [17]

The mean, median and mode are measures of central tendency, that is they tend to indicate the location middle of the data

Required values;

(a) The performance for the week for Park Street

Revenue is Q₂ < $7,500 < Q₃

The sales for the week is better than 72.91% of all sales

The performance for the week for Bridge Road

Revenue; Q₂ < $7,100 < Q₃

The sale for the week is better than 59.87% of all sales

(b) The mean is $3611

The median is $3,600

The standard deviation is $3250

The Interquartile range is $6075

Reason:

The table of values that maybe used to find a solution to the question is given as follows;

$\begin{array}{|l|l|l|}\mathbf{Variable} &\mathbf{Park}&\mathbf{Bridge}\\N&36&40\\Mean&6611&5989\\SE \ Mean&597&299\\StDev&3580&1794\\Minimum&800&1800\\Q_1&3600&5225\\Median&6600&6000\\Q_3&9675&7625\\Maximum&14100&8600\end{array}\right]$

(a) Park Street revenue = $7,500

Bridge Road's revenue = $7,100

The two stores sold close to but below the 75th percentile

Bridge Road revenue;

The z-score is given as follows;

$Z = \dfrac{x - \mu }{\sigma }$

$Z = \dfrac{7100 - 5,989 }{1794 } \approx 0.6193$

From the Z-Table, we have;

The percentile= 0.7291

Therefore, the sale for the week for Park Street is better than 72.91% of all the sales

Park Street revenue;

The z-score is given as follows;

$Z = \dfrac{7500 - 6611}{3580} \approx 0.25$

From the Z-Table, we have;

The percentile = 0.5987

Therefore, the sale for the week is better than 59.87 % of all the sales

(b) Given that the operating cost is $3,000, frim which we have;

The subtracted value is subtracted from the mean and median to find the new value

Profit = The revenue - Cost

New mean = 6611 - 3000 = 3611

The new mean = $3,611

The new median = 6600 - 3000 = 3600

The new median = $3,600

The standard deviation and the interquartile range remain the same, therefore, we have;

The standard deviation = $3,580

The interquartile range = 9675 - 3600 = 6075

The interquartile range = 6075

Learn more here:

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5 0

2 years ago

Do students that are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student governme

balu736 [363]

Answer:

Option B is correct.

The alternative hypothesis is given Mathematically as

Ha: pA - pB > 0

Step-by-step explanation:

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared. It usually confirms the the theory being tested by the experimental setup.

For this question, we want to test if students who are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student government events than students who are "Not Greek" by checking the proportion of each group of students that turn out to vote in the student government elections.

If the proportion of Greek students that turn out to vote in the student government elections = pA

And

The proportion of non-Greek students that turn out to vote in the student government elections = pB

And the difference between them is given as

μ₀ = pA - pB

The theory to be tested that pA > pB, would constitute the alternative hypothesis and the null hypothesis would say that either the proportions are equal or proportion of non-greek students that turn out to vote is more than the proportion of Greek students that turn out to vote in the student government elections.

Mathematically,

The null hypothesis would be that

H₀: μ₀ = pA - pB ≤ 0

H₀: pA = pB

And the alternative hypothesis would be that

Hₐ: μ₀ = pA - pB > 0

Hₐ: pA > pB

Thereby, confirming the theory to be tested.

Hope this Helps!!!

3 0

3 years ago

Write and evaluate the expression. Then, complete the statements. A 1-column table with 5 rows. Column 1 is labeled Multiplicati

77julia77 [94]

Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6

We have given that k = 12. 2

We have to find the expression

<h3>What is the writing and evaluating the expression?</h3>

Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.

Write the expression as 3k

Second, substitute 12.2 in for the variable, k.

Third, simplify by multiplying 3 and 12.2.

Therefore the answer is 36.6

Learn more about expression here:

brainly.com/question/723406

4 0

2 years ago