Which graph is not a function?
Please help me!!!

Which Graph Is Not A Function?Please Help Me!!!
Which Graph Is Not A Function?Please Help Me!!!
Which Graph Is Not A Function?Please Help Me!!!

Answers

Answer 1

Answer:

First one

Step-by-step explanation:

The first is not a function ( the flower-looking one) ...it does not pass the 'vertical line test'


Related Questions

Jayda takes 4 hours to complete 156 pages of her book. What is her unit rate of pages per hour?

Answers

Answer: Jayda finishes 39 pages in 1 hour

Step-by-step explanation:

156/4 gives us her rate since we have to find 1 hour, not 4 hours.
This is 39

I hope this way able to help you :D

what is square root
\(what is \: square \: root \: of \sqrt{81} \)

Answers

Answer:

9 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Find the length of the unknown side using the Pythagoras theorem

SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!

Find the length of the unknown side using the Pythagoras theoremSOMEONE PLEASE HELP ME WITH THESE! ILL

Answers

Answer:

Step-by-step explanation:

12

Find the length of the unknown side using the Pythagoras theoremSOMEONE PLEASE HELP ME WITH THESE! ILL

Answer:

a) 12

b) 11

c) 8

Step-by-step explanation:

Using the Pythagorean Theorem: \(a^2 + b^2 = c^2\)

a is the shorter side,

b is the longer side,

c is the hypotenuse.

a) \(a^2 + b^2 = c^2\\5^2+b^2=13^2\\25+b^2=169^2\\b^2=169-25\\b^2=144\\b=\sqrt{144}=12\\ b=12\)

b)\(a^2 + b^2 = c^2\\a^2+60^2=61^2\\a^2+3600=3721\\a^2=3721-3600\\a^2=121\\a=\sqrt{121}=11\\ a=11\)

c)\(a^2 + b^2 = c^2\\a^2+15^2=17^2\\a^2+225=289\\a^2=289-225\\a^2=64\\a=\sqrt{64}=11\\ a=8\)

Solve and graph. Thank you so much.

Solve and graph. Thank you so much.

Answers

Answer:

Step-by-step explanation:

-9 + b/4 >= -4

b/4 >= 5

b >= 20

the solution is d

Answer fast!!!!!!!!!!!!!!

Answer fast!!!!!!!!!!!!!!

Answers

this is the answer 0.7
decimal form is 0.7, hope this helps

Find the slope the in clearest form

Find the slope the in clearest form

Answers

Answer:

Step-by-step explanation:

5.1

Solve the proportion

x:40 = 5:100

Answers

Answer:

X=2

Step-by-step explanation:

\(\frac{x}{40} =\frac{5}{100} \\\)

Cross multiply

100 x X = 5 x 40

100X=200

Divide both sides by 100

\(\frac{100x}{100} =\frac{200}{100}\)

X=2

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.

Answers

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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HELPP ILL GIVE BRAINLESS
Which inequality represents all values of x for which the quotient below is
defined?
VX+1 + 33 -
A. XS3
B. -1 sx<3
C. -1 sxs3
D. X2-1

HELPP ILL GIVE BRAINLESS Which inequality represents all values of x for which the quotient below isdefined?VX+1

Answers

Answer:

Step-by-step explanation:It's c bestie ,;

Answer:

The answer is C

Step-by-step explanation:

I took the quiz and looked it up just to make sure

What level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis?

Answers

The level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis is "the chi-squared test for independence."

What is chi-square test?

A chi-square (X²) statistic is a test which compares a model to real observed data. A chi-square statistic requires data that is random, raw, mutually exclusive, obtained from independent variables, & drawn from a large enough sample. Tossing a fair coin, for example, meets these criteria.

Some key features regarding chi-square test are-

Chi-square analysis is excellent for assessing such disparities in categorical variables, particularly nominal variables.X² is determined by the amount of the discrepancy between the observed and real values, its degrees of freedom, as well as the sample size.X² can be used to figure out if two variables are connected or independent.It can also be used to determine the goodness-of-fit between being an observed distribution or a theoretical frequency distribution.

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1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?

Answers

Answer:

4 feet and 2 inches

Step-by-step explanation:

First, find the difference between the number of feet in their throws:

21 - 17

= 4 feet

Since Bill's throw had 6 inches while John had 4 inches, subtract 2 inches from the 4 feet that we calculated earlier.

This gets us 4 feet and 2 inches, since there are 12 inches in a foot.

So, Bill's throw was 4 feet and 2 inches greater than John's.

What is the solution to this system of equations?

What is the solution to this system of equations?

Answers

It’s B (2,4) because those satisfy both equations when you substitute the values

To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?

To find the distance across the river, the given diagram is laid out. what is the distance rounded to

Answers

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\(\frac{BC}{sinA}=\frac{AB}{SinC}\)

\(\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}\)

\(BC[sin(68.4)] = 646 [sin(18.6)]\)

\(BC = \frac{646*sin(18.6)}{sin(68.4)}\)

\(BC = \frac{646 * 0.3190}{0.9298}\)

\(BC = 221.63\)

\(BC = 222\) meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

I'm confused with this one is it A,B C or D

I'm confused with this one is it A,B C or D

Answers

Answer:

The answer is 24%.

Step-by-step explanation:

If you subtract 798 from 1050 you will get 252. Then, divide 252 by 1050. What you get from this is 0.24, which in percentage form is 24%.

how many integers must you pick in order to be sure that at least two of them have the same remainder when divided by 14?

Answers

Because of this, we need to choose 15 integers in such a way that we can ensure that when they are divided by 14, at least two of them will provide the same residual.

In order to be sure that at least two of them have the same remainder when divided by 14.

Generally,  If you divide a number by 14, the result is a fraction. There are 14 remainders that might occur, and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and, 13.

So if we pick a number and divide it by 14, the remainder can be one of 14 (0 memory 13). So if we select 14 numbers, we have the option to select 14 unique memories ranging from 0 to 13.

Finally, if we choose another integer, we will have the same reminders according to the drawer principle, because there are only 14 reminders and 15 > 14.

Therefore, we should choose the number of 15 so that at least two numbers have the same remainder when divided by 14.

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The marketing manager for a nationally franchised lawn service company would like to study the characteristics that differentiate home owners who do and do not have a lawn service. A random sample of 30 home owners located in a suburban area near a large city was selected; 11 did not have a lawn service (code 0) and 19 had a lawn service (code 1). Additional information available concerning these 30 home owners includes family income (Income, in thousands of dollars) and lawn size (Lawn Size, in thousands of square feet). The PHStat output is given below: Binary Logistic Regression Z p Predictor Intercept Income Lawn Size Coefficients -7.8562 0.0304 1.2804 SE Coef 3.8224 0.0133 0.6971 -2.0553 2.2897 1.8368 -Value 0.0398 0.0220 0.0662 Deviance 25.3089 Which of the following is the correct expression for the estimated model? In (estimated odds ratio) = -7.8562 +0.0304 Income + 1.2404 Lawnsize In (odds ratio) = -7.8562 +0.0304 Income + 1.2804 Lawnsize Y - -7.8562 +0.0304 Income + 1.2804 Lawnsize Y = -7.8562 +0.0304 Income + 1.2804 Lawnsize

Answers

The correct expression for the estimated model is: In (odds ratio) = -7.8562 +0.0304 Income + 1.2804 Lawnsize. This model was created using binary logistic regression analysis to study the characteristics that differentiate home owners who have a lawn service (code 1) and those who do not (code 0).

The additional information available for these 30 home owners includes family income (Income, in thousands of dollars) and lawn size (Lawn Size, in thousands of square feet). The estimated model shows that for every one unit increase in income,

the odds of having a lawn service increase by 0.0304, and for every one unit increase in lawn size, the odds of having a lawn service increase by 1.2804. This information can be useful for the marketing manager to target potential customers based on their family income and lawn size.
The correct expression for the estimated model in this case is:

ln(odds ratio) = -7.8562 + 0.0304 Income + 1.2804 Lawn Size

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Let X be the cholesterol level (in mg/dl) in the population of middle-aged American men, so that X follows the N(222, 37) distribution. • The probability in this population of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as Select ] • In this population, 90% of men have a cholesterol level that is at most [Select] mg/dl In the U.S. adult population, the distribution of BMI values (body mass index) are clearly right-skewed. Which of the following distributions can we nonetheless consider to be approximately Normal? (There may be one or more.) What is your reasoning? (no answer required here) The sample distribution of BMI values in a random sample of 500 adults The sampling distribution of mean BMI for random samples of 60 adults The sampling distribution of mean BMI for random samples of 9 adults

Answers

From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)

Answers

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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What is square root raised cosine?

Answers

SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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5) Build mathematical model of the transportation problem: Entry elements of table are costs. Destination B2 B3 B4 28 A1 27 27 32 A2 15 21 20 A3 16 22 18 b 26 8 Source 3 BI 14 10 21 323324 12 13

Answers

This problem is an example of a balanced transportation problem since the total supply of goods is equal to the total demand.

The transportation problem is a well-known linear programming problem in which commodities are shipped from sources to destinations at the minimum possible cost. The initial step in formulating a mathematical model for the transportation problem is to identify the sources, destinations, and the quantities transported.
The objective of the transportation problem is to minimize the total cost of transporting the goods. The mathematical model of the transportation problem is:
Let there be m sources (i = 1, 2, …, m) and n destinations (j = 1, 2, …, n). Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
The transportation problem can then be formulated as follows:
Minimize Z = ∑∑cijxij
Subject to the constraints:
∑xij = si, i = 1, 2, …, m
∑xij = dj, j = 1, 2, …, n
xij ≥ 0
where si and dj are the supply and demand of goods at the i-th source and the j-th destination respectively.
Using the given table, we can formulate the transportation problem as follows:
Let A1, A2, and A3 be the sources, and B2, B3, and B4 be the destinations. Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
Minimize Z = 27x11 + 27x12 + 32x13 + 15x21 + 21x22 + 20x23 + 16x31 + 22x32 + 18x33
Subject to the constraints:
x11 + x12 + x13 = 3
x21 + x22 + x23 = 14
x31 + x32 + x33 = 10
x11 + x21 + x31 = 21
x12 + x22 + x32 = 32
x13 + x23 + x33 = 26
xij ≥ 0
In this way, we can construct a mathematical model of the transportation problem using the given table. The model can be solved using the simplex method to obtain the optimal solution.

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Seven boys and five girls are going to a county fair to ride the teacup ride. each teacup seats four persons. tickets are assigned to specific teacups on the ride. if the 12 tickets for the numbered seats are given out random, determine the probability that four boys are given the first four seats on the first teacup.

Answers

The probability that four boys are given the first four seats on the first teacup is approximately equal to 0.004.

How to find the Probability?

To determine the probability that four boys are given the first four seats on the first teacup.

The total number of ways to distribute 12 tickets among 12 seats is 12! (12 factorial), which is equal to 479,001,600.

We need to find the number of ways that four boys can be selected from the seven boys, multiplied by the number of ways that eight people (including the remaining three boys and five girls) can be selected from the ten remaining people,

multiplied by the number of ways that the selected people can be arranged on the teacup ride.

The number of ways to select four boys from seven boys is 7C4, which is equal to 35. The number of ways to select eight people from the remaining ten people is 10C8, which is equal to 45.

Finally, the number of ways to arrange the selected twelve people on the teacup ride is 4!, which is equal to 24.

Therefore, the probability that four boys are given the first four seats on the first teacup is (35 x 45 x 24) / 12!, which is approximately equal to 0.004.

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what type of solution does 11x - 2 + 15 = 8 + 7 + 9x have?
infinite solution
no solution
one solution
show work
no clt

Answers

Answer:

one solution

Step-by-step explanation

combine like terms

Answer:

one solution, x = -1

Step-by-step explanation:

11x-2+15=8+7+9x

=> 11x-9x=15-17

=> 2x=-2

=> x=-1

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen

Answers

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Aman is adding -17 + 9. He wants to write -17 as the sum of two numbers so that one of the numbers, when added to 9, will equal 0.


Write integers in the blanks to show how Aman will solve this problem.


-17 + 9 = _____ + _____ + 9

-17 + 9 = _____ + 0


Please answer this with step by step solution, I just need the answers for those blanks shown above. Would really appreciate it!

Answers

Aman can write -17 as the sum of two numbers, -8.5 and -8.5, so that when one of the numbers (-8.5) is added to 9, it will equal 0.

To write -17 as the sum of two numbers so that one of the numbers, when added to 9, will equal 0, Aman needs to think of a number that, when added to 9, will equal 17.

Step 1: Aman needs to find the absolute value of -17, which is 17.

Step 2: Aman needs to divide 17 by 2, which gives 8.5.

Step 3: Aman needs to think of the two numbers that add up to -17 and have a difference of 8.5. One number would be -8.5 and the other number would be -8.5 - 8.5, which equals -17.

Step 4: Aman can substitute these numbers into the blanks.

-17 + 9 = -8.5 + (-8.5) + 9
-17 + 9 = -8.5 + (-8.5) + 9
-17 + 9 = -8.5 + 0

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What is the value of x?
A 12
B √80

What is the value of x?A 12B 80

Answers

Answer:

Step-by-step explanation:

A=12

a set of data is found to have a sample variance of 81. suppose that 16 is added to each of the numbers in the data set. circle the standard deviation of the new data set?

Answers

The required standard deviation of the new data set is 9.

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

According to question:

When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.

However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.

So, the standard deviation of the new data set is 9.

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enlarge (2,-2) (4,-2) (2,-4) (4,-4) by scale factor 3.5 with centre of enlargement (4, -6)

Answers

The image of dilating the points by a scale factor 3.5 with centre of enlargement (4, -6) is (-7, 14), (0, 14), (-7,7) and (0, 7)

How to dilate the points?

The coordinates are given as:

(2,-2) (4,-2) (2,-4) (4,-4)

The scale factor is given as:

k = 3.5

The center of enlargement is given as:

(a,b) = (4, -6)

The image of dilation is calculated using:

\((x,y) \to (k(x -a), k(y -b))\)

So, we have:

A = (3.5(2 -4), 3.5(-2 +6))

A = (-7, 14)

B = (3.5(4 -4), 3.5(-2 +6))

B = (0, 14)

C = (3.5(2 -4), 3.5(-4 +6))

C = (-7,7)

D = (3.5(4 -4), 3.5(-4 +6))

D = (0, 7)

Hence, the image of dilating the points is (-7, 14), (0, 14), (-7,7) and (0, 7)

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The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?

Answers

Answer:

54461.33 cubic feet

Step-by-step explanation:

Given data

Height of cylinder= 40 feet

Radius= 20feet

Height of cone= 10 feet

Radius of cone= 20feet

Volume of Cylinder= πr^2h

Volume of Cylinder= 3.142*20^2*40

Volume of Cylinder= 3.142*400*40

Volume of Cylinder= 50272 cubic feet

Volume of Cone= 1/3πr^2h

Volume of Cylinder= 1/3*3.142*20^2*10

Volume of Cylinder= 1/3*3.142*400*10

Volume of Cylinder= 1/3*12568

Volume of Cylinder=4189.33 cubic feet

Hence, the volume of the silo = volume of cylinder+ volume of cone

Volume of silo= 50272+4189.33

Volume of silo=54461.33 cubic feet

HELP PLEASE. Hector built a tent shaped like a rectangular pyramid. The volume of the tent is 56 cubic ft. The area of the base of the tent is 24 square ft. What is the hieght of Hectors tent in feet?

Answers

The height of the rectangular pyramid is 7 ft.

How to get the height of the rectangular pyramid?

First, we know that the volume of a rectangular pyramid is given by:

\(V = B*H/3\)

Where B is the base, H is the height.

First, we know that the volume is 56 ft³, and the base is 24ft², then we can replace these two in the volume equation to get:

\(56 ft^3 = 24ft^2*H/3\)

Solving that for H, we get:

\(H = 3*(56ft^3/24ft^2) = 7ft\)

The height of the rectangular pyramid is 7 ft.

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A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?

Answers

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

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