Which statement regarding the equation below is true?
x²+y²-3 x+6 y=7 x+2
A. It has a diameter of 18 units.
B. It has an area of 36 π square units.
C. It has a center at (-5,3).
D. It has a center at (-2,-3).
A
B
C
D

Which Statement Regarding The Equation Below Is True?x+y-3 X+6 Y=7 X+2A. It Has A Diameter Of 18 Units.B.

Answers

Answer 1

The true statement regarding the equation x² + y² - 3x + 6y = 7x + 2 is that it has a area of 36π sq. unit ,  correct option is (b) .

In the question ,

it is given that ,

the equation is x² + y² - 3x + 6y = 7x + 2 ,

On simplifying and rewriting the equation ,

we get ,

x² - 10x + 25 + y² + 6y + 9 = 36

further it can be written as ;

(x - 5)² [tex]+[/tex] (y [tex]+[/tex] 3)² [tex]=[/tex] 36

(x - 5)² + (y + 3)² = 6²

the equation represents a circle .

So , the from the above equation we can conclude that :

the center of the circle will be  = (5,-3) .

the radius is = 6 units .

the diameter will be = 12 units , and

the area of the circle will be = πr² = 36π square units .

So , the statement that matches with the information is that the area is 36π square units .  

Therefore , the True statement is (b) it has a area of 36π sq. units  .

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Related Questions

A widget manufacturer estimates that the total weekly cost in dollars, C, to produce x widgets is given by the linear function C(x) = 500 + 10x, where the intercept 500 represents the fixed cost of manufacturing any number of widgets and the slope 10 represents the variable cost of producing x widgets. Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean and standard deviation What are the mean and the standard deviation of C?

Answers

Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean and standard deviation the mean and the standard deviation of C  is Third one.

Whats is a widget?

On both Apple iOS and Android devices, widgets present specific data that resides in an application running in the device. Each widget on an iPhone or other smartphone display presents selected bits of information that reside in the associated applications.

To add a widget on an Android smartphone, go to your home screen, touch and hold an empty space, then:

Tap Widgets. You'll see a list of what's available to install.

Touch and hold a widget. You'll see images of your home screens.

Slide the widget to where you want it. Lift your finger

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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Answers

Based on the definition of similar solids, the value of x would be: D. 31.

How to Find the Side Lengths of Similar Solids?

Similar solids are defined as two solids that have proportional corresponding linear measures, which means the ratio of their linear measures are equal.

Examples of linear measures include height, length, width, circumference or radii. This means that, if two cylinders for example are similar, then the ratios of their radii or heights will be equal or proportional to each other.

The two solids are similar as stated in the image above, which means their corresponding linear measures will have ratios that are equal or they are proportional.

The linear measures here are the sides of the base of the solids. Therefore, the ratios would be:

29/14.5 = x/15.5

(14.5)(x) = (29)(15.5)

x = (29 × 15.5) / 14.5

x = 31

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Fill in the blank using the function y=4x+2 use the photo to help

Answers

Answer:

just substitute each value of x into the function

Step-by-step explanation:

1. (x=-2) y= 4(-2)+2

2. (x=0) y= 4(0)+2

3. (x=2) y= 4(2)+2

4. (x=4) y= 4(4)+2

use the same steps but change the value of x. go ahead a use your calculator

Given the function y=4x+2, x is the input and y is the output. So, we can input x values to find y values because y is a function of x.

Substitute the x values into the function:

Row 1:

y=4(-2)+2

y=-8+2

y=-6

Row 2:

y=4(0)+2

y=2

Row 3:

y=4(2)+2

y=8+2

y=10

Row 4:

y=4(4)+2

y=16+2

y=18

is their a simplified way of understanding the proof limit?

Answers

Yes, there are several ways to understand the concept of a limit in calculus without going into the details of a formal proof. One way to understand the concept of a limit is to think of it as a way to measure how close a function gets to a particular value as the input to the function gets closer and closer to a certain number. For example, if we have a function f(x) and we want to find the limit of the function as x approaches 2, we can think of this as asking "how close does f(x) get to a certain number as x gets closer and closer to 2?"

Another way to understand the concept of a limit is to think of it as a way to describe the behavior of a function as the input gets very large or very small. For example, if we have a function f(x) and we want to find the limit of the function as x approaches infinity, we can think of this as asking "how does f(x) behave as x gets very large?"

Overall, the concept of a limit is a fundamental concept in calculus that allows us to describe and analyze the behavior of functions as the input to the function changes. While a formal proof of the limit can be quite complex, there are several intuitive ways to understand the concept without going into the details of the proof.

DEATH RACE FOR LOVE 999
In 1941, the ________ was signed by Great Britain and the United States, stating that neither country wanted to acquire territory nor would attempt to govern other nations.

Marshall Plan
United Nations Charter
Truman Doctrine
Atlantic Charter

Answers

Answer:

Step-by-step explanation:

D. Atlantic Charter

The Atlantic Charter established the creation of the United Nations.

The corporate team-building event will cost $56 if it has 7 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $80? Solve using unit rates.

Answers

Answer:

10

Step-by-step explanation:

56 ÷ 7 = 8 each.

80 ÷ 8 = 10

Hi, I need help with this. I need this solved using the Pythagorean Theorem. Jake needs to construct a ramp to roll a cart from your garage into the back of your truck
The truck is 15 feet from the garage. The back of the truck is 4 feet above the ground. How long does the ramp have to be (in feet)? Also, can you tell me whether you are finding the leg or hypotenuse?

Answers

Answer:

Step-by-step explanation:

i know this isnt the answer but see if this problem can be a guide to find the answer;/

Find an equation of the line passing through the given points. Express your answer in slope-intercept form.
(3.8) and (3.-5)

Answers

Vertical Lines

There is only one way to represent a vertical line as an equation:

[tex]x=d[/tex]

d = x-intercept

Solving the Question

We're given:

Line passes through (3, 8) and (3, -5)

Both of the x-coordinates in these points are equal.

This indicates that this is a vertical line.

The x-intercept of a vertical line will always look like [tex](x,0)[/tex], where x is the same x-value as the given points.

[tex]x=3[/tex]

Answer

[tex]x=3[/tex]

A machine can manufacture 50 pens in 12 minutes. How many pens can it manufacture in two hours?

Answers

Answer:

500

Step-by-step explanation:

We know that in one hour, there is 60 minutes. If we need to figure out how many pens are produced in two hours, we can use an equation that looks like this:

60 × 2 (number of hours) = 120 (total minutes)

Now that we know that 120 is the total amount of minutes, we now need to figure out how many pens are produced. If 50 pens are produced every 12 minutes, then we need to figure out how many times 12 goes into 120.

12 × 10 = 120

Now that we know that 12 goes into 120 10 times, we now need to multiply 10 by 50 to get the total amount of pens produced.

10 × 50 = 500

500 pens are produced every two hours,

Answer:

500 pens

Step-by-step explanation:

A machine can manufacture 50 pens in 12 minutes. How many pens can it manufacture in two hours?

first of all we convert 2 hours into minutes, 1 hour = 60 minutes, 2 hours = 120 minutes, then we solve with an equation.

50 : 12 = x : 120

x = 50 × 120 : 12

x = 500

-------------------

check

50 : 12 = 500 : 120

25 : 6 = 25 : 6

25/6 = 25/6

the answer is good

Which of the following represents the characteristics of the graph of x > 3?

Open circle on 3, shaded to the left.
Closed circle on 3, shaded to the left.
Open circle on 3, shaded to the right.
Closed circle on 3, shaded to the right.

asap 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Open circle shaded to the right

Step-by-step explanation:

Since its a more than inequality, its is shaded to the right.

Since the inequality applies to numbers GREATER than 3 you have a open circle because you are not including 3.

23.6 of what number is 45 400

Answers

Answer:

Below

Step-by-step explanation:

Not very good syntax on your post

  I will assume   23.6 %  ow what numer is 45,400

       23.6 % = .236 in decimal

                 .236 * x  = 45400

                        x =  45400/ .236 = 192,372.8814

17. Identify any congruent figures in the coordinate plane at the right . Explain .

Answers

The rectangle PQMN to rectangle RSTU and triangle XYZ to triangle ABC are congruent figures.

What are congruent figures?

Two figures are said to be 'congruent' if they can be placed exactly over each other. When you place one slice of bread on top of the other, you'll notice that they're both the same shape and size. The term "congruent" refers to having exactly the same shape and size.

To identify the congruent figures in the given figures:

Two polygons are congruent if they have the same size and same shape.

(1) Rectangle PQMN and rectangle RSTU are the same shapes.

MN ≅ RS

NP ≅ ST

QP ≅ UT

MQ ≅ UR

Therefore rectangle PQMN and rectangle RSTU are congruent figures.

(2) Triangle XYZ and triangle ABC:

XY ≅ AB

YZ ≅ BC

XZ ≅ AC

Therefore triangle XYZ and triangle ABC are congruent figures.

Hence, the rectangle PQMN to rectangle RSTU and triangle XYZ to triangle ABC are congruent figures.

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Find the ordered pair that is a member of both x = -5y + 37 and x = -6y + 43​

Answers

Answer:

(7,6)

Step-by-step explanation:

An ordered pair is a member of both equations if it satisfies both equations. In other words, we need to find values of x and y that make both equations true.

We can start by setting the two equations equal to each other, since they both represent the same variable, x. This gives us the equation -5y + 37 = -6y + 43. We can then solve this equation by subtracting -6y from both sides, which yields -5y + 37 - (-6y) = -6y + 43 - (-6y), or -5y - (-6y) + 37 = 43. This simplifies to -y + 37 = 43, or y = 43 - 37 = <<43-37=6>>6.

Now that we have found the value of y that satisfies both equations, we can plug this value into either equation to find the corresponding value of x. For example, we can plug y = 6 into the equation x = -5y + 37 to find that x = -5 * 6 + 37 = -30 + 37 = <<-30+37=7>>7. Therefore, the ordered pair that is a member of both equations is (7, 6).

How do I start on this equation?

what is the value of the expression 2/5 m - 1/3 when
m = 3?

Answers

Answer:

when m=3,

then,2/5×3-1/3

=6/5-1/3

=(6×3-1×5)/15

=13/15 Ans...

Since m= 3, substitute 3 for me.

Proceed to answer question as following:
Step one:
Substitute
2/5(3) - 1/3
Step two:
Multiple 2/5 by 3
Giving:
Exact form: 6/5
Decimal form: 1.2
Mixed number form: 1 1/5
Step three:
Choose which from to use
*note*
No matter which form you use, answer will always be the same.
I’ll use decimal form:
1.2 - 1/3 *this can be converted to decimal form as well*
E.g. 1.2 - 0.3
Answer:
0.9
Fraction form: 9/10

Hopes this helps <3

What is the expected sum of the numbers that appear on two dice, each biased so that a 3 comes up twice as often as each other number? A. 48/7 B. 3 C. 10/3 D. 44/7 E. 52/7

Answers

When we have a biased dice where 3 comes up twice as often as each other number, the expected sum of the numbers that appears on two such dice is 48/7.

Therefore, the answer is (A) 48/7.

From given condition of bias, probability of getting 3 is

P(3) = 2 × p

where P(1) = P(2) = P(4) = P(5) = P(6) = p

We also know P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

That is 2p + 5p = 1

p = 1/ 7

P(3) = 2/7

Expected sum of the numbers that appear on a dice can be obtained by

EV = 1×1/7 + 2×1/7 + 3×2/7 + 4×1/7 + 5×1/7 + 6×1/7

EV = 24/7

Expected sum of the numbers that appear on two dice can be obtained by twice of one dice that is

EV = 2×24/7

EV = 48/7

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Simplify the algebraic expression by combining like terms

(15wz^2 + 3wz^3) - 5wz^3

(Can you combine like terms if the exponents are different or do they have to be the same number?)

Answers

Answer:

15wz² - 2wz³

Step-by-step explanation:

when collecting like terms the terms must have the same variables, with variables having the same exponents.

(15wz² + 3wz³) - 5wz³ ← remove parenthesis

= 15wz² + 3wz³ - 5wz³ ← collect like terms

= 15wz² + (3wz³ - 5wz³)

= 15wz² + (- 2wz³)

= 15wz² - 2wz³

Find the P-value for a test of the claim that less than 50% of the people following a particular diet will experience increased energy. Of 100 randomly selected subjects who followed the diet, 47 noticed an increase in their energy level.
Answer
the answer is 0.2743 please show work

Answers

The p-value for the given information is 0.247.

The p value refers to a number which is calculated from a statistical test and describes how likely a researcher is to have found a particular set of observations if the null hypothesis were true.

According to the provided information,

Sample size, n = 100

Sample proportion p’ = 47/100 = 0.47

The null hypothesis is: H0 - p = 0.5

The alternative hypothesis is: Ha - p > 0.5

Probability to be tested p = 0.5

Standard deviation = √p(1 – p)/n = √0.5(1 - 0.5)/100 = 0.05

z-test statistics is given by

z = (p’ – p)/σ = (0.47 – 0.5)/0.05 = - 0.6

From the table,

P value = 0.247

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Please help!
Use the table to write a function rule.
X Y
7 -21
6 -19
-3 -1
8 -23

Answers

The function rule of the given table is f(x) = -19x + 107.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.


We have,

From the table we have,

f(7) = - 21

f(6) = -19

f(-3) = -1

f(8) = -23

The function rule.

f(x) = mx + c

m = (-19 + 21) / (6 - 7)

m = 21/-1

m = -21

f(6) = -19

x = 6 and f(x) = -19

-19 = -21 x 6 + c

-19 + 126 = c

c = 107

Now,

The function rule is f(x) = -19x + 107.

Thus,

f(x) = -19x + 107 is the function rule.

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Use the diagram to estimate the perimeter, rounding each number to the nearest thousand.
18,167 cm/
43,812 cm
39,412 cm
O 102, 000 centimeters
O 103, 000 centimeters
O 100, 000 centimeters
O 101, 000 centimeters

Answers

Answer:

101000 centimeters

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides. Thus, the perimeter is [tex]18167+39412+43812 \approx 101000[/tex]

At the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50. How much mac and cheese could Abdullah buy for $20?

Answers

The number of  mac and cheese Abdullah can buy for $20 is 8.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50.

Now, cost of 1 pound of mac and cheese =Total cost/Number of pounds of mac and cheese

= 7.50/3

= $2.50

Then, with $20 Abdullah can by =20/2.50

= 8

Therefore, the number of  mac and cheese Abdullah can buy for $20 is 8.

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A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.
NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Answers

Null hypothesis is rejected and it was concluded that proportion of the use of drugs in local seniors is more compare to national seniors.

As given in the question,

Total number of local seniors be n₁ = 100

Total number of national seniors be n₂ = 100

Let us consider proportion of local seniors be p₁

Number of local seniors using drugs = 65

Null hypothesis : p₁ = p₂

Alternative hypothesis : p₁> p₂

p₁ = 0.65

1 - p₁ = 0.35

And proportion of national seniors be p₂

Number of national seniors using drugs = 61

p₂ = 0.61

1 - p₂ = 0.39

Standard error = √ [p₁(1-p₁)/n₁ + p₂(1-p₂)/n₂]

                       = √0.65( 0.35)/100 + 0.61(0.39)/100

                       = √0.002275 + 0.002379

                       = 0.0682

Z =( p₁ - p₂ ) /  √ [p₁(1-p₁)/n₁ + p₂(1-p₂)/n₂]

  = 0.65 - 0.61 / 0.0682

  = 0.04/ 0.0682

  =0.5865

p-value = 0.2788 > 0.05

Null hypothesis rejected at the 5% level.

Therefore, from the given proportion of the distribution it is concluded that local seniors uses drugs in higher rate than the national seniors as null hypothesis rejected .

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10. a group conducted a poll of 2052 likely voters just prior to an election. the results of the survey indicated that candidate a would receive 46% of the popular vote and candidate b would receive 44% of the popular vote. the margin of error was reported to be 4%. the group reported that the race was too close to call. use the concept of a confidence interval to explain what this means What does it mean to say the race was too close to​ call?

Answers

The difference between the two candidate voted is less than the margin of error, so the result cannot be predicted.

4% of 2052 is 4/100 x 2052 = 82.08

44% of 2052 is 902.88

46% of 2052 is 943.92

The difference between the two candidate voted is less than the margin of error

It increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter the larger the margin of error.

The race was too close to call means it is within the margin of error for one candidate to receive 44% of the popular vote and for the other candidate to receive 46​%, the poll cannot predict the winner.

Therefore, The result cannot be predicted as the race was too close to call.

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Need help with this one

Answers

Answer:i believe its 60 with x=30

Step-by-step explanation:

Step-by-step explanation:

M(<BAC)=95° , M(<ABC)=2x , M(<ACD)=145°

let M(<ACB)=y

Then M(<ACB)+M(<ACD)=180° , Because they are in a straight line and straight line can measure 180°.

so , y+145°=180°

y=180°_145°

y=35° , M(<ACB)=35°

The sum.of the interior angle of any triangle is 180° . so now we have 95° , 38° and 2x so the value of x be

95°+35°+2x =180°

130°+2x=180°

2x=180°_130°

2x=50° , divide both sides by 2 to find the value of x

x=25° , 2*25°=50° , M(<ABC)=50°

M(<BAC)=95°, M(<ABC)=50° , M(<ACB) =35°

95°+50°+35°=180°

17. Identify any congruent figures in the coordinate plane at the right . Explain .

PLEASE ANSWER

Answers

Answer:

(XYZ) and (ABC)

(MNQP) and (RUTS)

Step-by-step explanation:

XYZ and ABC are the same triangle. They are just rotated.

Similarly, MNQP and RUTS are the same figures. They are rotated.

Long or short? Put the names of all the students in your statistics class in a hat. Mix up the names, and draw 4 without looking. Let X = the number whose last names have more than six letters.

Answers

This is short. And it is does not have a binomial distribution.

Given,

When a variable has only two possible outcomes and each trial is independent of the others, the binomial distribution is utilised.

Here,

Yes, there are only two possible outcomes for each kid. Their last names either have more than six letters, or they do not.

However, as you choose, the names are not put back into the hat, changing the probabilities. As a result, the trials are not independent, and the distribution is not binomial.

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For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL: would like to Show Work for this question: Qpen Show Work A)0.27 B)99.C)73 D)100

Answers

99.73 % of the points on a process control chart to fall within the UCL and LCL.

Given that,

We have to find the percentage of the points on a control chart to fall within UCL and the LCL.

We know that,

Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).

In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.

Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.

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Which coordinates are the best estimate of the solution to the system of equations?

(-1,0)
(-1,-1)
(1,0)
(1,-1)

Answers

The coordinates are the best estimate of the solution to the system of equations (-1,0). The correct option is A.

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

The system of equations is,

-3x + y = 2

-4x + 7y = 1

When the graph is plotted on the coordinates axes, The value of x and y are -0.765 and -0.964, The best estimation for the coordinates will be (-1,0).

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A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded. The summary statistics are as follows.
Do Not Exercise - Do Exercise
x1 = 73.4 beats/min - x2 = 69.7 beats/min
s1 = 10.3 beats/min - s2 = 8.6 beats/min
n1 = 16 - n2 = 12
test the claim that he difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly.

Answers

The claim "The difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly" is true.

What is meant by mean of data?

In math, mean refers an average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Here we have given that a researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded.

And we need to find the the claim that he difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly is true or not.

Here we have the hypothesis is H0:μ1−μ2=0H1:μ1−μ2>0

Here the Level of significance is 0.05

And the value of test statistics is calculated as,

=> t = [(X1−X2)−(μ1−μ2)]/[√S1²n1+S2²n2]

=> t = (73.5−69.3)/ [√10.2216+8.7212]

=> t = 1.1734

Hence, the value of test statistics is 1.1734.

And the critical value at 26 degree of freedom from t-table is 1.706, thus it provides insufficient evidence to reject null hypothesis.

Here, there is a direct relationship between the width of san interval or the sample standard deviation.

Therefore, if variance increases the width of an interval also increase and vice versa. Therefore, above statement is true

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help me pls to find the slope

Answers

It’s 8 is the slope

The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 25.75 mpg and a standard deviation of σ = 2.75 mpg. (a) What is the standard error of X⎯⎯⎯ , the mean from a random sample of 36 fill-ups by one driver?

Answers

The standard error of X⁻, the mean from a random sample of 36 fill-ups by one driver is; 0.4167

How to find the standard error?

We are given;

Mean; μ = 26 mpg

Standard deviation; σ = 2.50 mpg

Sample size; n = 36 fill ups

The formula for standard error is;

SE = Standard deviation/√Number of samples

Thus, plugging in the relevant values into the standard error formula gives;

SE = 2.5/√36

SE = 2.5/6

SE = 0.4167

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what change occurred in each population of bacteria from the early generation to the later generation ? Which of the following groups includes examples of only abiotic factors found in an ecosystem? Producers, consumers, oxygen, carbon dioxide Solar energy, water, minerals, producers Plants, animals, fungi, decomposers Solar energy, glucose, oxygen, carbon dioxide the boiling point of liquid nitrogen is 77.0 k. what is the corresponding temperature in the fahrenheit and celsius scales? 015'The Bible tells Christians all they need to know about God's creation. Evaluate this statement. In your answer you should: refer to Christian teaching give reasoned arguments to support this statement give reasoned arguments to support a different point of view reach a justified conclusion. help please help help a norman window has the shape of a rectangle surmounted by a semicircle. (thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.) a window with the shape of a rectangle surmounted by a semicircle. the diameter of the semicircle is equal to the width of the rectangle. the rectangle has width x. if the perimeter of the window is 32 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted. Please help me on this The following scores represent students test grades in Mr. Preisser's fashion class.Test Scores798883937988839379888393798883937988What is the median score for Mr. Preisser's fashion class? treatment for a heart attack can include: A. cholesterol-lowering medications. B. surgical procedures. C. behavior modification. D. all of these are correct. How can the midterm elections be a check limit on the presidents agenda for the country in a liquid with a density of 1000 kg/m3, longitudinal waves with a frequency of 145 hz are found to have a wavelength of 10.0 m. calculate the bulk modulus of the liquid. The accompanying data file shows the midterm and final scores for 32 students in a statistics course Click here for the Excel Data Filea. Estimate a students final score as a function of hiss/her midterm score. (Round your answers t decimal places.) Final27.5818+ 0.6774 Midterm b. Find the standard error of the estimate. (Round your answer to 2 decimal places.) 14.947 c. Interpret the coefficient of determination. (Round your answer to 2 decimal places.) R means that % of the sample Variation | in Final grades is explained by the sample regression equation In the seventh century B.C., the Roman alphabet was adapted from the Etruscan alphabet, which in turn had been adapted in the previous century from a western Greek alphabet, which itself had been adapted earlier in the same century from the Phoenician alphabet.(A) which itself had been adapted earlier(B) adapting itself earlier(C) itself being adapted earlier(D) having been earlier adapted itself(E) earlier itself having been adapted the maintenance rehearsal task of learning a word by repeating it over and over again is most likely to The energy from the movement of electrons through the electron transport chain is directly used to synthesize ATP.(A)True(B)False what aspect of the blackbody spectrum forced planck to propose energy quantization? I want this paragraph in passive to active voice(Last summer our house was painted by me. First, the exterior was washed using warm water and a mild detergent. Then all of the chinks in the walls were sealed with putty. After the putty had had a chance to dry, the exterior could be painted. A latex paint was used because it is easy to apply and cleans up with water. A whole week was needed to finish this part of the job. A color was used that was very close to the original color.When the job was finished, a great deal of satisfaction was felt by me. Even my dad said that a good job was done.) A common stock's _____ value is typically set at a low amount and has little meaning today other than being used to by some states to assess fees. Feature Read the following paragraph from Katherine Johnson Biography.Being handpicked to be one of three black students to integrate West Virginias graduate schools is something that many people would consider one of their lifes most notable moments, but its just one of several breakthroughs that have marked Katherine Johnsons long and remarkable life. Born in White Sulphur Springs, West Virginia in 1918, Katherine Johnsons intense curiosity and brilliance with numbers vaulted her ahead several grades in school. By thirteen, she was attending high school on the campus of historically black West Virginia State College. At eighteen, she enrolled in the college itself, where she made quick work of the schools math curriculum and found a mentor in math professor W. W. Schieffelin Claytor, the third African American to earn a Ph.D. in Mathematics. Katherine graduated with the highest honors in 1937 and took a job teaching at a black public school in Virginia.What is the authors point in this paragraph?(A: Because of her advanced math skills and natural curiosity, Katherine is an outstanding student.)(B: Katherine is one of three students to be selected to attend graduate school.)(C: When she is only thirteen years old, Katherine attends a high school located on a college campus.)(D: Katherine becomes a public school teacher after she graduates from college.)PLEASE HURRY I AM GOING TO FAIL 17. Louis is offered an interest rate of 6.35%for an investment with continuouscompounding. What is his equivalent rateof interest with simple compounding?[A] 1.23 or 12.3%[B] 0.0593 or 5.93%[C] 0.423 or 42.3%[D] 0.0656 or 6.56%[E] 0.0615 or 6.15%