On a recent​ test, students had to determine whether the relation represented by the ordered pairs ​(​4,​5), ​(​9,​15), ​(14​,​22), ​(​18,​37) is a function. Bobby drew the arrow diagram on the right and said the relation was not a function. What error did Bobby most likely make? (The answer is NOT B I just chose that before and it was wrong!)

On A Recent Test, Students Had To Determine Whether The Relation Represented By The Ordered Pairs (4,5),

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Answer 1

The error that Bobby most likely made in verifying if the relation is a function is given as follows:

C. Bobby drew the incorrect arrow diagram. The correct arrow diagram of the relation is a function. Bobby's arrow diagram is not a function.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output.

The ordered pairs from this data-set are given as follows:

(​4,​5), ​(​9,​15), ​(14​,​22), ​and (​18,​37).

The input and the output for the pairs are given as follows:

The input of 4 is mapped to the output of 5.The input of 9 is mapped to the output of 15.The input of 14 is mapped to the output of 22.The input of 18 is mapped to the output of 37.

Each value of the input is mapped to only one value of output, hence the relation represents a function.

However, Bobby made a mistake, in mapping the point (9, 15), as he mapped an input of 14 to an output of 9, and thus it would not represent a function. Hence the correct statement is given by option C.

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Related Questions

b. suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm?

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The average waist size of the population is 85 cm, and the standard deviation is 15 cm. then A sample mean waist size of at least 86.3 cm has a 0.931 probability of occurring.

We can use the Z-score formula to find the probability.

Z = (86.3 - 85) / (15 / sqrt(277))

Z = 0.2 / 0.106

Z = 1.89

The probability of a sample mean waist size of at least 86.3 cm is 0.931.

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The melting point of a solid is the temperature at which is solid melts to become a liquid. The melting point of the element bromine is about 19°F. This is about 57°F more than the melting point of mercury. Which of the following equations can you use to find the melting point of mercury? What is the melting point of mercury?
x + 57 = 19
x - 57 = 19
x + 19 = 57
x + 19 = -57

Answers

Answer: A

Step-by-step explanation: If the melting point of Bromine is 19 degrees and the melting point of mercury is 57 degrees less than that then x (which is mercury's melting point) plus 57 degrees will equal 19.

Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=1k=1 successes given the probability p=p=9/10 of success on a single trial.
(Report answer accurate to 4 decimal places.)
P(X=k)=

Answers

By using Binomial Distribution, it can be calculated that -

P(X = 1) = 0.0005

What is Binomial Distribution?

Binomial distribution is a discrete type probability distribution whose probability density function is given by

P(X = x) = [tex]{n \choose x} p^xq^{n - x}[/tex]

Where p is the probability of success and q is the probability of failure

Here, Binomial Distribution of probability is used

k = 1

p = 0.9

q = 1 - 0.9 = 0.1

n = 5

P(X = 1) = [tex]{5 \choose 1} (0.9)^1(0.1)^{5 - 1}[/tex]

            = 0.00045

            = 0.0005

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the number 120 is increased by 50%, and the result is then decreased by 30% to give the number x. what is the value of x?

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Answer:

x = 126

Step-by-step explanation:

1. 120 + 120(.50) = 180

2. 180 - 180(.30) = 126

Which number line represents the solutions to |x + 4 = 2?

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C is the answer hope it helps

pretty please can someone answer this for me????? ty

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The value of the function f(1)-f(-7) = -11

What is a function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

Given are a function,

For x = 1, take -x²-3x

f(1) = -1²-3 = -4

For x = -7, take |x+5|-9

f(-7) = |-7+5|-9 = -7

f(1)-f(-7) = -7-4 = -11

Hence, The value of the function f(1)-f(-7) = -11

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(1 point) find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have distinct digits :

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The number of positive integers with exactly four decimal digits that is positive integers between 1000 and 9999 is 4536.

The positive integers between 1000 and 9999 inclusive have 4 digits.

The first digit cannot be zero because otherwise, it will become a  digit integer.

So, the first digit can be filled in 9 ways.

The second digit can be filled by 9 different ways.

Because the second digit cannot be the same as that of the first digit but zero can be the second digit.

The third digit can be filled by 8 different ways.

The fourth digit can be filled in 7 different ways.

Number of four decimals digits = 9 * 9 * 8 * 7

= 81 * 8 * 7

= 81 * 56

= 4536 digits.

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To lose weight, Kelly reduced her caloric intake from 2000 per day to 1360 per day. What is the percent of decrease in calories​

Answers

Step-by-step explanation:

2000-1360=640

%change=640/2000×100

=32%

One serving of a fruit punch recipe serves 16 people.
Which of the following answer choices correctly lists the ordered pairs for 1, 2, 3, and 4 servings? (number of servings, number of people served)
This is the correct answer
(1, 16), (2, 32), (3, 48), (4, 64)

Now for part 2 Plot the ordered pairs from question 1. You can only plot one point at a time. Plot serving 1 below. The image is below. Please snip and sketch the image then edit the image and draw where the points go. Thanks :)

Answers

The required list of the ordered pairs for 1, 2, 3, and 4 servings as (1, 16), (2, 32), (3, 48), (4, 64).

What is an ordered pair?

An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.

One serving of a fruit punch recipe serves 16 people.

As per the given question, the required solution would be as:

1 x 16 = 16 ⇒ (1, 16)

2 x 16 = 16 ⇒ (2, 32)

3 x 16 = 16 ⇒ (3, 48)

4 x 16 = 16 ⇒ (4, 64)

Thus, the required list of the ordered pairs for 1, 2, 3, and 4 servings as (1, 16), (2, 32), (3, 48), (4, 64).

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Y= -4 cos 5x -10 please answer this someone

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The trigonometric function, Y = -4·cos 5·x - 10 is undefined at Y = 0, but the function arranged as Y = -4·cos(5·x - 10) has an x-intercept at x = π/10 + 2

What is a trigonometric function?

A trigonometric function indicates the relationship between angles and the lengths of sides of angles.

The specified function can be presented as follows;

Y = -4·co(5·x) - 10

There are two unknown variables

The number of equations is one

The number of equations is less than the number of unknowns, the equation is said therefore, to be undetermined.

The function, at Y = 0, can be evaluated as follows;

Y = 0 = -4·co(5·x) - 10

cos(5·x) = 10/(-4) = -2.5

5·x = arccos(-2.5) = Undefined

However, when the function is; Y = -4·cos((5·x) - 10), we get;

At Y = 0

0 = -4·cos((5·x) - 10)

cos((5·x) - 10) = 0/(-4) = 0

5·x - 10 = arccos(0) = π/2

Therefore;

x = (π/2 + 10)/5 = π/10 + 2

(-π/2 + 10)/5

An x-intercept is at x = π/10 + 2

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directions in attachment!

Answers

The answers are 285 and 7392.

Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
r(t) = 2 cos(t)i + 2 sin(t)j + k r(0 (x, y, z) = (x, y, z) = -() -C (39) (x, y, z) = (x, y, z) = (Tt) (x, y, z) = (1) (X, Y, 2) = (33) (1) (x, y, z) = (x, y, z) = r(27) (x, y, z) =

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I don’t know the answer

What is the measure of angle A in this triangle?

Enter your answer in the box.
​ m∠A= ​

Answers

The measure of angle A in this triangle is 50°.

How to calculate the angle?

It is important to note that a triangle has three sides and the total angle is 180°.

Therefore A = 2x - 10

B = 70

C = x + 30

The angles will be illustrated thus:

2x - 10 + 70 + x + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

Divide

x = 90/3

x = 30

Therefore A will be:

= 2x - 10

= 2(30) - 10

= 60 - 10

= 50°

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Zoe goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 5% is applied to the bill. Zoe decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Zoe paid.

Answers

The expression in terms of x that represents the total amount that Zoe paid is 1.2075x

What is an expression that represents the total amount that Zoe paid?

Expression are simply used to illustrate the datathat are given. It should be noted that it's usually represented by the variables given.

From the information, Zoe goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill and Zoe decides to leave a tip of 15% on the entire bill.

The expression will be:

= x + (5% × x) + (15% × 1.05x)

= x + 0.05x + 0.1575x

= 1.2075x

Therefore, the expression based on the above will be 1.2075x.

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if f=72 when a=9 find a when f=56

Answers

Answer: just use the internet

Step-by-step explanation:

boom yo answer

how to write the expression 12 and

Answers

Answer: What is the last part of the question?

Step-by-step explanation:

I can't answer the question because it is incomplete. Sorry :(

Before doing laundry, an unlucky student must recover from illness. The number of days the student is ill is determined as follows. We toss a fair coin and we roll a fair 6-sided die. If the coin is heads, the student is ill for n days, where n is the outcome of the die roll. If the coin is tails, the student is ill for 2n days, where n is the outcome of the die roll. What is Ex(u)? Example: If the die roll is 5, the student delays for U = 5 days if the coin toss is heads and U = 10 days if the coin toss is tails.

Answers

The student will be out of class for 2n days if the coin comes up tails, where n is the result of the die roll, which the probability will be 25.

An unfortunate student must recover from illness before washing laundry. The following formula is used to calculate the student's illness duration. We roll a fair 6-sided die and toss a fair coin. The student is absent from class for n days if the coin comes up heads, where n is the result of the die roll.

Ex(u) = (1/2)(1/6)*5+(1/2)(1/6)10+(1/2)(1/6)15+(1/2)(1/6)20 + (1/2)(1/6)25+(1/2)(1/6)*30

Probability = 25

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If the cos 0 = 5/13 and tan 0 = 12/5, what is sin 0?

Answers

Answer:

sin(x) = 12/13

Step-by-step explanation:

cos^(-1)(5/13) = 0.176

tan^(-1)(12/5) = 0.176

sin(0.176 radians) = 12/13

Brainliest, please!

a If you have 2/3 of your first 18-egg carton full, how many more eggs will fit in that
carton? What fraction card will you need to draw to fill the first carton exactly?

Answers

Answer:

6 eggs

Step-b6y-step explanation:

18 - (18× 2/3) = 6

●●●●●●/●●●●●●/○○○○○○

Determine the slope of the line​
A. 1/3
B. -1/3
C. 3/1
D. -3/1

Answers

Answer: C

Step-by-step explanation:

The graph is going up not going down so it can't be a negative slope and we can eliminate choices B & D. We know that the slope is rising over run, and we see that the y increase by 3, and x increase by 1, so the slope is 3/1.


What is the value of x?

1/4 (6x - 2) = x - 2

Answers

Answer:

Step-by-step explanation:

0

Answer:

x = 3

Step-by-step explanation:

1/4 (6x - 2) = x - 2

1.5x - 0.5 = x - 2

1.5x = x - 1.5

0.5x = 1.5

x = 3

Could you please give me brainliest for this? Thank you!

7. A square pyramid has triangular faces, each with a base, of 8 inches and a height of 14 inches. The total surface area of the square pyramid is 288 in2. What is the area of the base of the square pyramid?​

Answers

Uh…the 288 sq in is not needed; neither is the 14 in. If the base of each of the triangular sides is 8, and it’s a square pyramid, the AREA of the base length times width, or 8^2, which is 64 square inches. Peace!

A daycare center has a weekly revenue of $15,000. The daycare director has created a monthly budget using the following percentages for expenses:


Percent
Employee Wages 40%
Building Rent 5%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 13%
Utilities 10%
Maintenance 5%
Emergency/Repair 5%


Which balance sheet correctly represents the daycare's income, expenses, and balance?

A: Income
Amount
Weekly Income $15,000.00
Total Monthly Income $65,000.00
Expenses
Percent Amount
Employee Wages 40% $26,000.00
Building Rent 5% $3,250.00
Supplies 15% $9,750.00
Equipment 5% $326.29
Educational Licensing 2% $1,300.00
Food 13% $8,450.00
Utilities 10% $6,500.00
Maintenance 5% $3,250.00
Emergency/Repair 5% $3,250.00
$65,000.00
Balance
Income $65,000.00
Expenses $65,000.00
Balance $0

B; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $30,000.00
Expenses
Percent Amount
Employee Wages 40% $12,000.00
Building Rent 5% $1,500.00
Supplies 15% $4,500.00
Equipment 5% $1,500.00
Educational Licensing 2% $600.00
Food 13% $3,900.00
Utilities 10% $3,000.00
Maintenance 5% $1,500.00
Emergency/Repair 5% $1,500.00
$30,000.00
Balance
Income $30,000.00
Expenses $30,000.00
Balance $0

C; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $60,000.00
Expenses
Percent Amount
Employee Wages 40% $24,000.00
Building Rent 5% $3,000.00
Supplies 15% $9,000.00
Equipment 5% $3,000.00
Educational Licensing 2% $1,200.00
Food 13% $7,800.00
Utilities 10% $3,000.00
Maintenance 5% $3,000.00
Emergency/Repair 5% $1,500.00
$60,000.00
Balance
Income $60,000.00
Expenses $60,000.00
Balance $0

D; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $67,500.00
Expenses
Percent Amount
Employee Wages 40% $27,000.00
Building Rent 5% $3,375.00
Supplies 15% $10,125.00
Equipment 5% $3,375.00
Educational Licensing 2% $1,350.00
Food 13% $8,775.00
Utilities 10% $6,750.00
Maintenance 5% $3,375.00
Emergency/Repair 5% $3,375.00
$67,500.00
Balance
Income $67,500.00
Expenses $67,500.00
Balance $0

Answers

The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:

C; Income

Amount

Weekly Income $15,000.00

Total Monthly Income $60,000.00

Expenses

Percent Amount

Employee Wages 40% $24,000.00

Building Rent 5% $3,000.00

Supplies 15% $9,000.00

Equipment 5% $3,000.00

Educational Licensing 2% $1,200.00

Food 13% $7,800.00

Utilities 10% $3,000.00

Maintenance 5% $3,000.00

Emergency/Repair 5% $1,500.00

$60,000.00

Balance

Income $60,000.00

Expenses $60,000.00

Balance $0

How to obtain the balance sheet?

The first step in obtaining the balance sheet is obtaining the total monthly income.

The weekly income is of $15,000, while a month is composed by four weeks, hence the monthly income is of:

4 x $15,000 = $60,000.

Then the percentages of each expenses are applied to find the values, for example, 40% of that is for employee wages, hence:

0.4 x 60,000 = $24,000.

From the percentages stated in the problem, 100% of the income is turned into expenses, hence the balance will be of zero and option C is correct.

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Prove that x^3+15x^2+74x+120 is always divisible by 6. Please

Answers

It is true that the polynomial is divisible by 6

How to prove the division of the polynomial?

From the question, we have the following polynomial that can be used in our computation:

Polynomial = x^3+15x^2+74x+120

Divisor = 6

Rewrite the given parameters as

P(x) = x³ +15x² + 74x + 120

x = -6

Substitute x = -6 in the equation P(x) = x³ +15x² + 74x + 120

P(-6) = (-6)³ +15(-6)² + 74(-6) + 120

Evaluate

P(-6) = 0

because the result is 0, the polynomial is divisible

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5. Find the value of x.
48
8x

Answers

Answer:

Step-by-step explanation:

try 6

Answer: 6

Step-by-step explanation: 6 x 8 = 48

a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces. b. let m

Answers

The answer of the given question is A rectangular block of mass m has an inertia moment of Bh3/3.

What is moment of inertia?

When a body resists having the direction of its rotation along an axis changed by the application of a torque, this resistance is referred to as having moment of inertia. There are four types of axes: internal, external, fixed, and moving. It is possible to calculate the moment of inertia (I), which is always expressed in terms of that axis, by adding the results of multiplying each particle's mass by the square of its distance from the axis within the particular body. Moment of inertia is the same as mass in linear momentum when calculating the angular momentum of a rigid body.

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approximately what does the box portion of a boxplot display? group of answer choices the upper quarter of the data the middle half of the data the lower quarter of the data the middle quarter of the data

Answers

The box portion of a boxplot display the middle half of the data.

We know that  a box and whisker plot which is also known as a box plot.

It represents the five-number summary of dataset.

This five-number summary is nothing but the minimum, first quartile, median, third quartile, and maximum.

In box and whisker plot, we draw a box from the first quartile to the third quartile.

In bosplot, the left and right sides of the box are the lower and upper quartiles.

The box covers the 50% of the data is found. It covers the interquartile range.

Therefore, the box portion displays the middle half of the data.

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The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. The most recent survey estimates with confidence that the mean household income in the U.S. falls between . Find the point estimate for mean U.S. household income and the error bound for mean U.S. household income.

Answers

the error bound for the mean U.S. household income is +/- $234, while the point estimate is $63179.

A yearly census identical to the one performed every ten years is conducted by the American Community Survey (ACS), a division of the United States Census Bureau, but with a lower participation rate. Since the most recent poll has high confidence that the mean household income in the United States is between, the point estimate for that income is $63179, and the error bound is +/- $234.

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-3(x-4)=-9(x-1) solving linear equations

Answers

-3(x-4)=-9(x-1)

-3x+12=-9x+9

-3x+9x=9-12

6x=-3

x= -3/6

x=-1/2

how would the test statistic change for the wilcoxon rank sum test for the crickets data if the largest value in the fed group had actually been 100 hrs?

Answers

The assumptions of the two-sample t-test for comparing two population means:

1. The two samples are independent of one another.

2. The two populations have equal variance or spread.

3. The two populations are normally distributed.

The Wilcoxon test is based upon ranking the nA +nB observations of the combined sample. Each observation has a rank: the smallest has rank 1, the 2nd smallest rank 2, and so on. The wilcoxon rank-sum test statistic is the sum of the ranks for observations from one of the samples.

The Wilcoxon signed rank test is a non-paracontinuouse-level test, in contrast to the dependent samples t-test.

Wilcoxon tests have about 95% of the power of a t-test if the data really are normal, and are often far more powerful if the data is not, so just use a Wilcoxon.

The Wilcoxon test may produce misleading results if many measurements are the same value. When many values are the same, their relative ranks are the same, and this has the effect of diluting the test.

 

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you're not the only seashell at the beach. the above sentence contains (choose the best answer): a. a simile b. an idiom c. a metaphor d. an analogy Who was the leader in Britain encouraging the British to stand firm as the Battle of Britain raged?Francisco FrancoBenito MussoliniAdolf HitlerWinston Churchill I need helpTell us what activity is engaged in malala yousafiza what he is fighting for. Her life.What a reward she got.Express opinions about it Enter the equation of the line in slope-intercept form that has a slope of -4 and passes through (0, 21). M inverly proportional to g^3 M=24 when g=2. 5a) find a formula for M in term of gb) work out the value of g when M=1/9 according to the documentary, the end of which song on sgt. pepper's lonely hearts club band includes wordless, vocal grunting noises that might suggest a sexual encounter? Before the invention of __________, modes of livelihood were all extensive rather than intensive. according to the etextbook, a company that believes in social responsibility values three things, sustainability, commitment to the community, and: Consider the quadratic function f(x) = x2 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, 8). The graph contains the point (0, 0). Company A has established itself in a global market. Company B entered the market with a lower cost structure due to efficient manufacturing and lower priced products and has taken the global market share from Company A. This is an example of a negative aspect of pursuing an international strategyTrue or False Briefly explain how manufacturers have updated the materials used in automobiles. Discuss some future trends in the automobile industry, such as electric cars and self-driving cars -4 3/4 = x-1 1/5Whats the value of x Find the slope of the line.The slope of the line is ? Select the correct answer.Why did the French government send Samuel de Champlain to set up a colony in Quebec?O A.to spread the Catholic faith among the nativesO B.to form an alliance with the natives against the SpanishO C.to monopolize the fur trade with the nativesO D.to form an alliance with the natives against English colonists use the indicated verb form if an orbital in the 2p subshell is completely filled before each orbital in the 2p subshell is partially filled, it is a violation of which rule? Direct proportion is two quantities related and dependent in such a way that as one increases the other decreases, and conversely, as one decreases the other increases.false a client comes to the outpatient center for preoperative testing one week prior to the elective procedure. when is the best time to perform perioperative teaching? When a model car speeds up to three times its original speed, its kinetic energy. you have been hired to evaluate a client's building security. in your walkthrough, you notice the following: all pieces of equipment have cable locks installed. server racks are locked and have alarms. the wap for the guest wi-fi is located on the receptionist's desk. biometric locks are installed on high security rooms. which of the following would you most likely recommend that your client do to increase security based on this information?