Q1-
What measure of central tendency MOST affected by outliers:
mean and median
median and mode
mean and range
midrange and mean
Q2-what measure of central tendency LEAST affected by
outliers:
mean
m

Answer: b=20

Step-by-step explanation:

First for the equation 60=2b+20

We will subtract 20 from both sides to start isolating b

40=2b

Divide both sides by 2

and you get b=20

Answer:

b = 20

Hope This Helps!

Step-by-step explanation:

60 = 2b + 20

-20         -20

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

40 = 2b

40/2 = 2b/2

20 = b

b = 20

im  not sure sorryyyyyyyyyyyyyyy

When a line that is externally tangent to both circles intersects ray AB at point C, the value of BC is 12.

A tangent line to a circle in Euclidean plane geometry is a line that touches the circle at exactly one point while never entering the circle's interior. Tangent lines to circles are the topic of various theorems and are used in several geometrical constructions and proofs.

A tangent to a circle is a straight line that touches the circle just once. This is referred to as the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

Let D and E be the tangent points of circles A and B with line CD, AB=8.

Also, set BC to x.

Because ADC and BEC are at right angles,

At the point of tangency, the radius is perpendicular to a tangent line, and both triangles share ACD, ADCBEC.

We can calculate the proportion from this.

BC/AC=BE/AD

x/(x+8)=3/5

5x=3x+24

2x=24

x=12

As a result, the value of BC=12

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"Externally tangent circles with centers at points A and B have radii of lengths 5 and 3, respectively. A line externally tangent to both circles intersects ray AB at point C. What is BC?"

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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The only number that is 10 times as much as 72 is 720.

To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:

10 times 72 = 720

1/10 of 72 = 7.2

So, the numbers that are 10 times as much as 72 are 720.

The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.

On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.

Therefore, the only number that is 10 times as much as 72 is 720.

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complete question

Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.

- 67

-46

-720

-480

Answer:

Multiply the price by .4 to get the answer

Step-by-step explanation:

You dont have the original price posted.

Answer:

Step-by-step explanation:

Line 2: addition is commutative. a+b=b+a

Line 3: multiplication is distributive over addition. a(b+c)=ab+ac

Answer:

a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Step-by-step explanation:

From the given information:

we learnt that :Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video.

A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)

Confidence interval  shows the range of values with the likelihood to contain a true population value with a certain degree of confidence. In confidence interval, a true population mean lies within the interval of a lower limit and upper limit.

From the given information; the lower limit is -10.8 and the upper limit is -4.82; based on this negative sign, it means they are both decreasing.

Therefore; we can conclude from the given option that :

Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Answer:

3/4

Step-by-step explanation:

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

Divide 4 on both sides

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The answer is 0.5

Step-by-step explanation:

If you divide 11 by 21 you get 0.532

Which makes the answer 0.5

Hope this helps:)

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is \(\frac{\pi}{6}\).

option A.

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is calculated as follows;

The limit of the integration is calculated as follows;

 \(y = x ^{\frac{1}{2} } = \sqrt{x}\)

y = x

solve the two equation together;

x = √x

Square both sides of the equation;

x² = x

x² - x = 0

x(x - 1) = 0

x = 0 or  x - 1 = 0

x = 0 or 1

The radius of the solid formed is determined as;

\(r = (x^2 - x)\)

when it is rotated, the radius of the solid; r = x - x²

The volume function of the solid is calculated as follows;

dv = 2πxr

dv = 2πx (x - x²)

The volume of the solid is calculated as;

\(V = \int\limits^1_0 {2\pi x (x - x^2) } \, dx \\\\V = 2\pi \int\limits^1_0 {x( x- x^2) } \, dx\\\\V = 2\pi \int\limits^1_0 { (x^2- x^3) } \, dx\\\\V = 2\pi [\frac{x^{3 }}{3} - \frac{x^4}{4} ]^1_0\\\\V = 2\pi [\frac{(1)^{3 }}{3} - \frac{(1)^4}{4} ]\\\\V = 2\pi (\frac{1}{12} )\\\\V = \frac{2\pi}{12} \\\\V = \frac{\pi }{6}\)

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Answer:

the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2 are (0, -4).

Step-by-step explanation:

To find the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2, we can use the following formula:

P = ( (2bx + 3ax)/(2+3) , (2by + 3ay)/(2+3) )

where P is the point we are looking for, (ax, ay) and (bx, by) are the coordinates of the two endpoints of the line segment, and the numbers 2 and 3 represent the ratio in which the line segment is to be divided.

Substituting the given values, we get:

P = ( (29 + 3(-6))/(2+3) , (2*(-7) + 3*(-2))/(2+3) )

= ( (18 - 18)/5 , (-14 - 6)/5 )

= ( 0, -4 )

Therefore, the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2 are (0, -4).

a) There are 36 possible sample points. b) The sample points are: (1,1), (1,2), (1,3), ..., (6,5), (6,6). c) The probability of obtaining a sum of 7 is 6/36 = 1/6. d) The probability of obtaining a sum of 9 or greater is 10/36 = 5/18.  e) The given statement " each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values." is true. Because there are more ways to obtain even sums than odd sums. f) The method used to assign probabilities is the classical method.

There are 36 possible sample points in this experiment. (6 possible outcomes for the first die multiplied by 6 possible outcomes for the second die)

Sample points:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

The probability of obtaining a value of 7 is 6/36 or 1/6. This can be determined by counting the number of sample points that result in a sum of 7 (there are 6 of them) and dividing by the total number of sample points.

The probability of obtaining a value of 9 or greater is 10/36 or 5/18. This can be determined by counting the number of sample points that result in a sum of 9 or greater (there are 10 of them) and dividing by the total number of sample points.

Yes, we agree with this statement. There are more possible outcomes that result in an even sum than an odd sum. Specifically, there are 18 even sums and only 18 odd sums.

This is because an even sum can be obtained by either adding two even numbers, or adding an odd number and an even number (which gives an even result). An odd sum can only be obtained by adding an odd number and an even number.

We used the classical method to assign probabilities, which assumes that all outcomes are equally likely. This method works well for simple random experiments like rolling dice, but may not be appropriate for more complex experiments.

Other methods for assigning probabilities include the empirical method (based on observed frequencies in past data) and the subjective method (based on personal judgment or expert opinion).

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Answer:

14

Step-by-step explanation:

can you please mark this brainliest if it helped? <3

Answer:

x =14

Step-by-step explanation:

-1/2 x+1 = -x+8

Add x to each side

-1/2 x +x+1 = -x+x+8

1/2x +1 = 8

Subtract 1 from each side

1/2x +1-1- =8-1

1/2x = 7

Multiply each side by 2

1/2x *2 =7*2

x =14

(1, -7/2) is the midpoint

Answer:

Step-by-step explanation:

Step-by-step explanation:

84 = 2(l+b)

L+b = 84 / 2

L+b = 42

There fore..

Length is 42 and breadth is 42 - 8

Answer:

Step-by-step explanation:

-19 : 14 = x : 2

x = 19 * 2 : -14

x = 38 : -14

x = -19/7

$ 86.67 , Steve and his five friends has to pay $86.67 each to rent limo for four hours.

According to the question,

rent of limo for five hours = $130

now by multiplication ,

rent of limo for four hours = $130 * 4

                                           = $520

now we know that there are six people including Steve hence we divide this $520 by 6 to get the share of each individual,

by division ,

hence the amount for each = $520 / 6

                                              = 86.666666

amount round up to the nearest dollar is $86.67

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Answer:

9

Step-by-step explanation:

To answer this question, you must isolate the variable y.

Step 1.

add 2 to each side to isolate 2y

2y-2+2=16+2

the twos on the left cancel out and you are left with: 2y=18

Step 2.

divide each side by 2 to isolate y completely

2y/2=18/2

y=9

The formula is incorrect, as it should be $A = P(1+r/n)^(nt)$ instead of $A = P + (1+r/n)^(nt)$, which the student has incorrectly used. Explanation: A = the balance after the specified time P = principal r = interest rate n = the number of times per year the interest is compounded t = time in year.

We have the following information given to us in the question: A corporation issues a bond costing $600 and paying interest compounded quarterly. After 5 years, the bond is worth $800. What is the annual interest rate as a percent rounded to 1 decimal place? A = 800, P = 600, n = 4 (compounded quarterly), and t = 5 years The formula that should be used is A = P(1+r/n)^(nt).

The student has incorrectly used A = P + (1+r/n)^(nt). Step 1: Incorrectly using formula: A = P + (1+r/n)^(nt). The student has used the incorrect formula. The correct formula to use is A = P(1+r/n)^(nt).Step 2: 600=8001+r420. This is correct as it uses the correct formula A = P(1+r/n)^(nt). Step 3: 600=800+200r20. This is correct as it uses the correct formula A = P(1+r/n)^(nt).Step 4: 600-800=200r20. This is correct as it uses the correct formula A = P(1+r/n)^(nt).Step 5: -200=200r20. This is incorrect, the student has solved for r incorrectly.

They have divided 200 by 20 instead of multiplying. It should be -200/400 = -0.5. The student should have written -200 = 200r(20) instead of -200=200r20. This step gets 4 points out of 7.Step 6: 400=r20. This is incorrect as the student has written the value of r first instead of solving for it. It should be r = 20. The student should have written 200r = 400 instead of 400=r20. This step gets 3 points out of 7.Step 7: r=20.

This is correct. The annual interest rate is 20.0%.This error analysis of the problem is correct, and all the steps have been explained correctly.

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Step-by-step explanation:

a. 180=3x+28+5x+52+2x-10

180=10x+70

110=10x

11=x

b. C= 2[11]-10

=22-10

=12

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

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

Using the above as a guide, we have the following:

Probability = 2% * 3.5% + 3% * 96.5%

Evaluate

Probability = 0.02965

Rewrite as

Probability = 2.965%

Hence, the probability is 2.965%.

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Question

The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for corn plants that do not have the protein.

If 3.5% of the corn plants in a given population actually have the protein, the probability that a randomly chosen plant is detected incorrectly is

It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

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\(- 159 = - 5(1 - 4n) + 6 \\ - 159 = - 5 + 20n + 6 \\ - 159 = 1 + 20n \\ 20n = - 159 - 1 \\ 20n = - 160 \\ \\ n = \frac{ - 160}{20} = - \frac{16}{2} = - 8 \\ \\ n = - 8\)

I hope I helped you^_^

If events A and B are independent with P(A) = 0.68 and P(A and B) = 0.544 then the value of P(B) is 0.8

We know that if events A and B are independent, then:

P(A and B) = P(A) × P(B)

We are given P(A) = 0.68 and P(A and B) = 0.544.

Substituting these values into the equation above, we get:

0.544 = 0.68 × P(B)

Solving for P(B), we get:

P(B) = 0.544 / 0.68 = 0.8

P(B) = 0.800

Hence, if events A and B are independent with P(A) = 0.68 and

P(A and B) = 0.544 then the value of P(B) is 0.8

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