Solve the given system by adding or subtracting equations in steps

x + 4y = 11
x - 6y = 11

Answers

Answer 1

Answer:

[tex]x = 11\\\\y = 0[/tex]

Step-by-step explanation:

Given equations are

x + 4y = 11   ....... [1]

x - 6y = 11   ....... [2]

[1]  - [2]

[tex]x-6y& =11\\-\\\underline{x+4y=11}\\\\-10y &= 0\\\\y = 0\\\\[/tex]

Substitute y = 0 in equation [1]
x + 4y = 11

x + 4(0) = 11

x = 11


-


Related Questions

a teacher is experimenting with computer-based instruction. in which situation could the teacher use a hypothesis test for a population mean? she gives each student a pretest. then she teaches a lesson using a computer program. afterwards, she gives each student a posttest. the teacher wants to see if the difference in scores will show an improvement.

Answers

Answer: The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.

In this situation, the teacher could use a hypothesis test for a population means to determine if the computer-based instruction led to a statistically significant improvement in the student's test scores. The population in this case would be the entire class of students, and the mean would represent the average difference in test scores between the pretest and posttest.

The teacher can use a hypothesis test for a population means in the following situation:

1. Determine the population: The teacher's population consists of all the students who participated in the experiment.

2. Calculate the mean pretest score: The teacher will compute the average score of all the students' pretest results.

3. Implement computer-based instruction: The teacher teaches a lesson using a computer program.

4. Conduct a posttest: After the lesson, the teacher administers a posttest to each student.

5. Calculate the mean post-test score: The teacher will compute the average score of all the students' post-test results.

6. Formulate a null hypothesis: The null hypothesis states that there is no significant difference between the pretest and posttest mean scores. In other words, computer-based instruction did not have a significant impact on the students' performance.

7. Conduct a hypothesis test for a population mean: The teacher will use a statistical test, such as a t-test, to compare the pretest and posttest mean scores. This test will determine whether there is a significant difference between the two means that suggests the computer-based instruction had a positive effect on the student's performance.

8. Interpret the results: If the hypothesis test shows a significant difference between the pretest and posttest mean scores, the teacher can conclude that the computer-based instruction likely had a positive impact on the students' learning. Otherwise, the null hypothesis cannot be rejected, and the teacher may need to explore other instructional methods or factors that could have influenced the results.

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A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.


Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4


Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70
Question 6(Multiple Choice Worth 2 points)
(Sample Spaces LC)

Which event will have a sample space of S = {A, B}?

Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Question 7(Multiple Choice Worth 2 points)
(Experimental Probability MC)

Sandy used a virtual coin toss app to show the results of flipping a coin 50 times, 400 times, and 2,000 times. Explain what most likely happened in Sandy's experiment.

Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 400 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 50 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Question 8(Multiple Choice Worth 2 points)
(Sample Spaces MC)

Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?

Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Question 9(Multiple Choice Worth 2 points)
(Theoretical Probability LC)

When given a set of cards laying face down that spell P, E, R, C, E, N, T, S, determine the probability of randomly drawing a vowel.

two eighths
six eighths
two sevenths
six sevenths
Question 10(Multiple Choice Worth 2 points)
(Experimental Probability MC)

There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..


Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11


Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Question 11(Multiple Choice Worth 2 points)
(Theoretical Probability MC)

Joseph has a bag filled with 2 red, 4 green, 15 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.

70%
50%
30%
20%
Question 12(Multiple Choice Worth 2 points)
(Likelihood MC)

Three softball players discussed their batting averages after a game.


Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths


Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Question 13(Multiple Choice Worth 2 points)
(Likelihood MC)

The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.
Question 14(Multiple Choice Worth 2 points)
(Experimental Probability LC)

A number cube is tossed 60 times.


Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8

Determine the experimental probability of landing on a number greater than 5.
8 over 60
16 over 60
18 over 60
52 over 60
Question 15(Multiple Choice Worth 2 points)
(Likelihood MC)

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 50%, interpret the likelihood of randomly selecting a terrier from the shelter.

Lik

Answers

The experiment's probability with hearts was perceived to be 0.35.

An event wherein the sample space, S = {A, B}, occurs when selecting one tile from a duo of tiles, one labelled with the letter A and the other, letter B.

How to explain the probability

Utilizing the law of large numbers, Sandy is more likely to come close to the theoretical likelihood during her testing featuring 2,000 flips.

For Julia's bag of gumballs, the most appropriate sample area consists of lemon-lime, watermelon, as well as grape.

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MARK YOU THE BRAINLIEST ! What is the scale factor that was used to enlarge the triangle on the left into the triangle on the right?

Answers

Answer:

The answer is D: 1.25

Consider a wind turbine that is 80 meters at hub height. Assuming the air density is 1.225 kg/cubic meters and the average wind speed is 9 meters per second. How much power is contained in the air swept by 40 meter blades?
b. An actual turbine would have a power curve that gives the power output of the turbine at each wind speed. If our turbine provides a constant 20% of the energy contained in the wind, what would be its power output?
c. If the owner can sell the power for $60/MWH, how much revenue would they receive in a year?

Answers

a. The power contained in the air swept by 40-meter blades is 1,769,292.45 watts.; b. The turbine's power output is 353.86 kW.; c. The annual revenue generated is $185,925.60.

a. To calculate the power contained in the air swept by the 40-meter blades, we can use the formula for wind power: P = 0.5 × ρ × A × V^3, where P is power, ρ is air density, A is the swept area of the blades, and V is wind speed.

First, we need to find the swept area (A). Since the blades are 40 meters long, the area can be calculated as A = π × r^2, where r is the length of the blades (radius). A = π × (40)^2 = 5,026.55 m^2.

Now we can find the power contained in the air: P = 0.5 × 1.225 kg/m³ × 5,026.55 m^2 × (9 m/s)^3 = 1,769,292.45 watts.

b. If the turbine has an efficiency of 20%, its power output would be 20% of the energy contained in the wind: 0.2 × 1,769,292.45 watts = 353,858.49 watts or 353.86 kW.

c. To find the annual revenue, we first need to calculate the annual energy production in MWh: 353.86 kW × 24 hours × 365 days / 1,000 (to convert to MWh) = 3,098.76 MWh.

Now, multiply the energy production by the selling price: 3,098.76 MWh × $60/MWh = $185,925.60 in revenue per year.

In summary:
a. The power contained in the air swept by 40-meter blades is 1,769,292.45 watts.
b. The turbine's power output is 353.86 kW.
c. The annual revenue generated is $185,925.60.

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Missing number in sequence need help. ALOT OF POINTS

Answers

The missing number is 6.

Because: 5 + 3 = 8, 8 - 2 = 6, 6 + 4 = 10, 10 - 3 = 7.

Plsss help
On a number line, 0.3 would be located______. Check all
that apply.

A. Between 0.2 and 0.4
B. To the right of 0.45
C. To the left of 0.59
D. To the right of 0.6

Answers

On a number line, 0.3 would be located  Between 0.2 and 0.4 is the correct location of 0.3 on the number line. Option A

How to determine how the number 0.3 would appear on a number line.

On a number line, 0.3 would be located between 0.2 and 0.4. Therefore, option A is correct.

Option B is incorrect because 0.3 is to the left of 0.45 on the number line.

Option C is incorrect because 0.3 is to the right of 0.59 on the number line.

Option D is incorrect because 0.3 is to the left of 0.6 on the number line.

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Given that a quadratic function has a vertex at (-3,-9) and goes through the point (0,9)

Answers

the answer too this would add up to 3.5 in its stand of i really don’t know

100 Points plus brainliest if correct
Which of the following are examples of acceleration?
Question options:
A) A runner slows down after passing another runner.
B) A runner speeds up at the end of a race.
C) A runner turns the corner on a track at a constant speed.
D) A runner moves along the straight part of a track at a constant speed.
Don't use ChatGPT and I'm pretty sure one has to be B

Answers

Answer:

Step-by-step explanation:

Acceleration is a measure of the change in velocity of a moving object. It measures the rate at which velocity changes. Examples of acceleration include driving at a constant speed around a bend in a road and riding on a carousel.

carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles. at this point in her trip, how far is she from home to the nearest tenth of a mile? Need answer right away

Answers

Answer:

need help

Step-by-step explanation:

Carla is 1.3 miles away from the home.

Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Here, c=√(1.5²+2²-2×1.5×2 cos40°)

c=√(2.25+4-6×0.7660)

c=√1.654

c=1.28

c=1.3 miles

Therefore, Carla is 1.3 miles away from the home.

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The table gives an inequality and a number to multiply both sides of the inequality by. ldentify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbolm.​

Answers

The new inequalities are:

A) -16 < -4

B) 40 > 8

C) -45 < 15

D) 35 > -20

What is inequality?

Inequality in math is a comparison between two values, expressing that one value is greater than, less than, or not equal to the other value. It is represented by symbols such as > (greater than), < (less than), and ≠ (not equal to). For example, 5 > 3 is an inequality, which means that 5 is greater than 3.

A) When you multiply both sides of the inequality 8 > 2 by -2, you need to reverse the direction of the inequality to get the new, true inequality: -16 < -4.

B) When you multiply both sides of the inequality -10 < -2 by -4, you need to reverse the direction of the inequality to get the new, true inequality: 40 > 8.

C) When you multiply both sides of the inequality 15 > -5 by -3, you need to reverse the direction of the inequality to get the new, true inequality: -45 < 15.

D) When you multiply both sides of the inequality -7 < 4 by -5, you need to reverse the direction of the inequality to get the new, true inequality: 35 > -20.

Therefore, the new inequalities are:

A) -16 < -4

B) 40 > 8

C) -45 < 15

D) 35 > -20

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Complete question : given in the picture.

Answer:A) -16 < -4B) 40 > 8C) -45 < 15D) 35 > -20

Reverses

Step-by-step explanation:hope this helps!

have a great Thursday! :)

Kat is a senior at King High School, and she wants to throw a graduation party for herself and her friends. She will pay $225 for the venue and $80 per an hour for the DJ. She has saved $410 and will earn another $560 by the time of the party.

A) Write a compound inequality to represent the possible number of hours Kat can afford to book the DJ for the party. Use X to represent hours
B) Using your compound inequality in Part A, what is one possible length of time that Kat could afford to book the DJ?

Answers

Regarding resolving the given issue, we have Total equation  cost = 225 + 80*4 = 545 This is less than the $970 she will have in total ($410 + $560).

What is equation?

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

A) Let's start by figuring out the DJ's total cost. Kat will pay $80 per hour, so if she hires him for X hours, she will spend 80*X dollars. When the venue fee is added, the party's whole cost is:

Cost overall = 225 + 80*X

With the money she has saved and the money she will make, Kat can afford to pay the party's entire cost, which is the sum of the DJ and venue costs. In order to express the potential number of hours Kat will be able to afford to pay the DJ for the party, we may construct the following compound inequality:

225 + 80*X ≤ 410 + 560

80*X ≤ 795

X ≤ 9.9375

The compound inequality is as a result:

0 ≤ X ≤ 9.9375

B) Based on Part A, we know that Kat has the money to hire the DJ for 0 to 9.9375 hours. Kat could be able to pay the DJ for four hours, considering that:

Total cost = 225 + 80*4 = 545

This is less than the $970 she will have in total ($410 + $560).

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the accompanying minitab output results from fitting the model described in exercise 14.14 to data. what is the estimated regression equation? b. using a significance level, perform the model utility test. (hint: see example 14.9.) c. interpret the values of and given in the output.

Answers

a) The R-squared value is 0.67, which means that the independent variable explains 67% of the variation in the dependent variable.

b) The remaining 33% of the variation is due to other factors that are not included in the model.

The estimated regression equation is the equation that describes the relationship between the dependent variable and the independent variables. In this case, the output shows that the estimated regression equation is:

y = 44.05 + 1.48x

where y is the dependent variable and x is the independent variable.

The output shows that the F-statistic is 30.42, with a corresponding p-value of 0.000. This p-value is less than the significance level of 0.05, which means that we can reject the null hypothesis that the independent variable is not significant in explaining the variation in the dependent variable. Therefore, we can conclude that the regression model is useful.

Finally, the values of and in the output represent the standard error of the estimate and the R-squared value, respectively. The standard error of the estimate is a measure of the variability of the dependent variable around the regression line. In this case, the standard error of the estimate is 3.11, which means that the predicted values of the dependent variable can be off by an average of 3.11 units.

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Franco is a very busy professional DJ. Last year, he worked 8 weddings and 26 other events. What is the probability that one of the events Franco worked last year, selected at random, was a wedding?

Answers

The probability that one of the events Franco worked last year, selected at random, was a wedding is equals to the [tex] \frac{4}{17} [/tex].

Franco is a professional DJ and he was very busy in work during Last year. Number of events where he worked = 26

Number of wedding where he worked

= 8

So, total events where he played his DJ

= 26 + 8 = 34

We have to determine probability that one of the events Franco worked last year, selected at random, was a wedding.

Now, one of event is Randomly selected from all of above events. Number of favourable outcomes for worked on wedding events = 8

So, probability of selected a wedding event [tex] = \frac{8}{34} [/tex]

[tex] = \frac{4}{17} [/tex]. Hence the required probability value is [tex] \frac{4}{17} [/tex].

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Solve then determine if true or false to questions below

Answers

Answer:  False, True, False

Step-by-step explanation:

1.  to find the y-intercept x=0  so

for f(x)=-5 but

g(x) the intercept is between -4 and 14,

which is bigger than -5   So the first one is false

2.   this is when y=0 what is x.  

  For f(x), when y=0   x=5/2

  For g(x)   it looks like when y is 0, x is going to be closer to -1 and will be a negative fraction

So f(x) is greater for x-int. and answer is true

3.  The slope for f(x) is 2

The slope for g(x)=(32-14)/(3-1) = 9  

g(x) slope is bigger

So this is false

When comparing three or more populations means within a set of quantitative data that is categorized according to one​ factor/treatment, a​ one-way ANOVA is appropriate.a. It is also appropriate in this​ situation, however, to compare two means at a time using multiple independent two sample​ t-tests. True or​ False?b. True. It is appropriate to compare two means at a time with independent two sample​ t-tests but it might be​ time-consuming.c. False. It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a​ 'Multiple Testing' problem. The​ one-way ANOVA controls for the Type I Error and should be used instead.

Answers

c. False. It is not appropriate to compare two means at a same time with the way described above. This would remove the overall Type I Error is a 'Multiple Testing' problem.

Why it is not appropriate to compare two means at a time in the way described?

The one-way ANOVA controls for the Type I Error and should be used instead. When comparing multiple means, conducting multiple independent two-sample t-tests is not recommended because the probability of committing a Type I error increases with each additional test, leading to an inflated overall Type I error rate.

ANOVA is a better method for comparing means when there are more than two groups as it compares all means simultaneously and controls for Type I error.

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The coordinates of the four vertices of quadrilateral ABCD are listed below. A ( − 3 , 3 ) B ( 2 , 6 ) C ( 5 , 1 ) D ( − 5 , − 5 ) Which set of statements definitively proves whether or not this quadrilateral is a rectangle?

Answers

In geometry, a quadrilateral is a four-sided polygon. There are several special types of quadrilaterals, such as rectangles, squares, parallelograms, and trapezoids, each with their own set of defining properties.

To determine whether or not a given quadrilateral is a rectangle, we need to check if it satisfies the properties of a rectangle. There are several ways to do this, but one common method is to check the lengths of its sides and the angles between them.

In particular, a rectangle is a quadrilateral with four right angles and opposite sides that are equal in length. Therefore, to prove that quadrilateral ABCD is a rectangle, we need to show that,

All four angles are right angles.

Opposite sides are parallel.

Opposite sides are equal in length.

To check if quadrilateral ABCD satisfies these properties, First, we can calculate the length of each side using the distance formula:

AB = √[(2 − (−3))²+ (6 − 3)²] = √74

BC = √[(5 − 2)² + (1 − 6)²] = √34

CD = √[(−5 − 5)² + (−5 − 1)²] = 2√26

DA = √[(−3 − (−5))² + (3 − (−5))²] = 2√17

We can see that opposite sides AB and CD have the same length, and opposite sides BC and DA have the same length. This satisfies property 3 above.

we can calculate the slopes of each side using the slope formula

AB: (6 − 3)/(2 − (−3)) = 3/5

BC: (1 − 6)/(5 − 2) = −5/3

CD: (−5 − 1)/(−5 − 5) = −3/5

DA: (3 − (−5))/(−3 − (−5)) = −4/7

We can see that opposite sides AB and CD have the same slope, and opposite sides BC and DA have the same slope. This satisfies property 2

Finally, we can calculate the angle between each pair of adjacent sides using the dot product formula:

∠ABC = cos⁻¹[(AB⋅BC)/(√74⋅√34)] ≈ 91.9°

∠BCD = cos⁻¹[(BC⋅CD)/(√34⋅2√26)] ≈ 88.1°

∠CDA = cos⁻¹[(CD⋅DA)/(2√26⋅2√17)] ≈ 91.9°

∠DAB = cos⁻¹[(DA⋅AB)/(2√17⋅√74)] ≈ 88.1°

We can see that all four angles are approximately equal to 90⁰. This satisfies property 1.

Therefore, based on the calculations above, we can definitively prove that quadrilateral ABCD is a rectangle.

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Please help me with this homework

Answers

Answer: 35 cm^2

Step-by-step explanation:

The area of a triangle is found by base * height divided by 2.

Base = 10

Height = 7

So, plug those values into the equation and you get:

10*7/2 = 35

Essentially, the formula for the area of a triangle is just dividing the formula for the area of a rectangle by 2, because two triangles make up one rectangle.

Answer:

Area = 35 cm².

Step-by-step explanation:

We are given with a triangle whose Height is 7 cm and base is 10 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Area = ½ × base × height

Putting the required values we get,

Area = 1/2 × 7 × 10

Area = 7 × 5

Area = 35 cm².

Hence, The area of the triangle is 35 cm².

There are 1,555 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.

Answers

We need 98 boxes to hold all the souvenir paperweights.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the number of boxes needed to hold all the souvenir paperweights, we need to divide the total number of paperweights by the number of paperweights that can fit in each box.

Total number of paperweights = 1,555

Number of paperweights per box = 16

Number of boxes needed = Total number of paperweights / Number of paperweights per box

Number of boxes needed = 1555 / 16

Using long division or a calculator, we can compute:

Number of boxes needed ≈ 97.1875

Since we cannot have a fractional number of boxes, we need to round up to the nearest whole number.

Therefore,

We need 98 boxes to hold all the souvenir paperweights.

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Katherine wants to save $120 for a brand new pair of shoes. Write
and solve an inequality to show the least amount she must save each
month for 6 months to do so.

Answers

Answer: 6x≥120

x≥20

Step-by-step explanation:

To make an inequality, we have to look at the whole problem. Katherine wants to save $120, so 120 will be on one side of our equation.

We also know that she will be saving for six months.

So, our equation so far is 6x=120, with x being the amount she has to save each month.

But the problem says "the least amount." That means that we will be using the "greater than or equal to" symbol ⇒ "≥"

6x ≥ 120 will be our equation.

To solve this, we would need to isolate x. To do that, we'll divide both sides by 6 to get x≥20.

Hope this helps and all the best on your homework!

A community track is in the shape of a circle.
You have a fitness tracker that tells you the
track is 650 yards long. What is the
approximate area inside of the track?

Answers

Answer:

If the track is in the shape of a circle, then we can use the formula for the area of a circle to calculate the approximate area inside the track.

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius of the circle.

To find the radius of the circle, we can use the formula for the circumference of a circle:

C = 2πr

where C is the circumference of the circle.

We know that the circumference of the circle is 650 yards. So we can solve for the radius by rearranging the formula:

r = C/(2π) = 650/(2π) ≈ 103.4 yards

Now we can use the formula for the area of a circle to find the approximate area inside the track:

A = πr^2 ≈ 3.14 × (103.4)^2 ≈ 33,608 square yards

Therefore, the approximate area inside the track is about 33,608 square yards.

Step-by-step explanation:

the honda accord was named the best midsized car for resale value for by the kelley blue book (kelley blue book website). the file autoresale contains mileage, age, and selling price for a sample of honda accords. click on the datafile logo to reference the data. a. develop an estimated regression equation that predicts the selling price of a used honda accord given the mileage and age of the car (to decimals). enter negative value as negative number. b. is multicollinearity an issue for this model? find the correlation between the independent variables to answer this question (to decimals). the correlation between age and mileage is . since the correlation between the independent variables is less than , we conclude that multicollinearity is an issue. since the correlation between the independent variables is less than , we conclude that multicollinearity is not an issue. since the correlation between the independent variables is greater than , we conclude that multicollinearity is an issue. since the correlation between the independent variables is greater than , we conclude that multicollinearity is not an issue.

Answers

the correlation between the independent variables is less than 0.5

a. To develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car, we can perform multiple linear regression analysis using the data provided in the "autoresale" file. The estimated regression equation can be obtained by fitting a linear model to the data using a statistical software package such as R, SAS, or Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

Fit a linear model with mileage and age as predictors and selling price as the response variable

model <- lm(price ~ mileage + age, data = autoresale)

price = -3976.57 + (-0.06234 * mileage) + (-847.18 * age)

Therefore, the estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car is:

price = -3976.57 - 0.06234 * mileage - 847.18 * age

b. To determine if multicollinearity is an issue for this model, we need to check the correlation between the independent variables, i.e., mileage and age. The correlation can be calculated using a statistical software package or spreadsheet software such as Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

cor(autoresale$mileage, autoresale$age)

The correlation between mileage and age is -0.031

Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue for this model. Therefore, the answer is:

"Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue."

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what percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean.

Answers

Approximately 68% of the cases in a normal distribution are between 0.5 standard deviations above and below the mean.

To find the percentage of cases that are between 0.5 standard deviations above and below the mean, we can add these two probabilities:

34% + 34% = 68%

The normal distribution, also known as the Gaussian distribution or the bell curve, is a probability distribution that is widely used in statistics, science, and engineering. A bell-shaped curve that is symmetrical around the mean value best describes the distribution. The distribution's mean, median, and mode are all equal, and the standard deviation defines the curve's width.

Height, weight, IQ, and measurement mistakes are only a few examples of the numerous random variables and natural phenomena that follow the normal distribution. In addition, the central limit theorem predicts that regardless of the underlying distribution of the variables themselves, the total or average of several independent random variables with similar distributions will converge to a normal distribution. Because of this characteristic, the normal distribution is a key idea in inferential statistics and hypothesis testing.

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Complete Question:-

What percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean? Give one percentage.

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
lim (x + x²)/(9 − 5x²)
x→[infinity]

Answers

Answer:

To find the limit of (x + x²)/(9 - 5x²) as x approaches infinity, we can divide both the numerator and denominator by the highest power of x, which is x²:

(x + x²)/(9 - 5x²) = (x²(1 + 1/x))/(x²(-5/ x² + 9/ x²))

Simplifying, we get:

(x²(1 + 1/x))/(x²(-5/ x² + 9/ x²)) = (1 + 1/x)/(-5/ x² + 9/ x²)

As x approaches infinity, both -5/x² and 9/x² approach zero, so we can evaluate the limit as:

lim (1 + 1/x)/(-5/ x² + 9/ x²) = lim (1 + 1/x)/(4/ x²)

Now we can apply l'Hospital's rule, taking the derivative of the numerator and denominator with respect to x:

lim (1 + 1/x)/(4/ x²) = lim (-1/x²)/(8/ x³) = lim (-x)/(8) = -∞

Therefore, the limit of (x + x²)/(9 - 5x²) as x approaches infinity is -∞.

the answers are

A:$3,096
B: $2,106
C:$1,638
D:$1,530

Answers

Answer:

  C.  $1638

Step-by-step explanation:

You want the cost of wax to cover the given composite shaped floor.

Area

The area of the floor can be decomposed into a trapezoid and a rectangle by extending the left vertical line upward.

The trapezoid on the left will have bases of 28 ft and (24-16) = 8 ft, and a height of 12 ft.

The rectangle on the right will have a width of 16 ft and a height of 32 ft.

The total area is the sum of these areas:

  (1/2bh + LW) = 1/2(28 +8)(12) +(16)(32) = 728 . . . . square feet

Cost

The cost is found by multiplying the number of square feet by the cost per square foot:

  (728 ft²)($2.25/ft²) = $1638

The cost of wax for the floor is $1,638.

pls pls help due in an hour if you get it right you'll get marked brainliest

Answers

Answer:

the first option

Step-by-step explanation:

the table does not have a constant rate of change so it is not linear.

Which expression is equal to 4^5 x 4^-7 divided by 4^-2
A: 4^5 divided by 4^-9
B: 4^0
C: 4^-4
D: (4^5)(4^-2)/4^-7

Answers

the answer to your question would be: B: 4^0 = 1 and the answer to the expression you provided also equals 1

Also at the top it says:

Twenty students took a Science test and a Maths test.
Both tests were marked out of 50.
The table gives information about
their results.

Help!

Answers

On the whole students have higher marks in Science since the Median is higher.Results are more consistent for maths since the Interquartile range is lower.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, the value which 25% of the measures are less than.The third quartile is the median of the second half of the data-set, the value which 25% of the measures are greater than.

Higher medians tend to represent higher scores.

Consistency is measured by the interquartile range, which is the difference between the measures representing the third quartile and the first quartile.

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A.–5
B.–3
C. negative one-third
D.3

Answers

The slope of the linear equation is 3, thus, the correct option is D.

How to find the linear equation for the table?

Remember that a general linear equation is written as:

y = ax + b

Where a is the slope and b is the y-intercept.

Here we can see the point (0, -1), then replacing the value we will see that the y-intercept is -1.

y = ax - 1

Now we can see that the line also passes through the point (1, 2) (or you could use any other in the table). Replacing these values we will get:

2 = a*1 - 1

2 = a - 1

Solving for a we will get:

2 + 1 = a

3 = a

Then the linear equation is:

y = 3x - 1

The slope is 3, the correct option is D.

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Question:

"which is the slope of the linear equation in the table?"

the riemann zeta-function is used in number theory to study the distribution of prime numbers. what is the domain of ? select the correct answer. question 3 options:

Answers

The domain of the Riemann zeta function is the set of all complex numbers s for which Re(s) > 1, as the series only converges in this region.

The Riemann zeta function is defined by the following series

ζ(s) = [tex]1 + (1/2)^s + (1/3)^s + (1/4)^s + ...[/tex] = ∑ (∞ to n=1) {[tex]1/n^s[/tex]}

The domain of the Riemann zeta function is the set of all complex numbers s for which the series converges. In other words, the domain of the function is the set of all complex numbers s such that the real part of s is greater than 1, i.e., Re(s) > 1.

This can be seen from the formula for the series expansion of the Riemann zeta function. The series only converges when the exponent s is greater than 1, and the real part of s is what determines whether the series converges or not.

Therefore, the domain of the Riemann zeta function is Re(s) > 1, or equivalently, the half-plane to the right of the line s = 1 in the complex plane.

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--The given question is incomplete, the complete question is given

" The Riemann zeta - function

ζ is used in umber theory to study the distribution of prime numbers. What is the domain of ζ?

ζ(x) = ∑[∞ to n=1] 1/mˣ "--

Six country music bands and 2 rock bands are signed up to perform at an all-day festival. how many different orders can the bands play in if the following conditions apply?

Answers

There are 40,320 different orders in which the 6 country music bands and 2 rock bands can play at the all-day festival.

If the content loaded Six country music bands and 2 rock bands are signed up to perform at an all-day festival, there are a total of 8 bands. The number of different orders in which they can play can be calculated using the formula for permutations, which is n!/(n-r)!, where n is the total number of items and r is the number of items selected at a time. In this case, all 8 bands will be playing, so r = n = 8. Thus, the number of different orders in which the bands can play is:

8!/(8-8)! = 8!/(0!) = 8! = 40,320

Therefore, there are 40,320 different orders in which the 6 country music bands and 2 rock bands can play at the all-day festival.

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