Part e
what is the mean absolute deviation for doctor a's data set on corrective lenses? what is the mean absolute deviation
for doctor b's data set on corrective lenses? write a sentence comparing the variation of the two data sets using their
mean absolute deviations.

The calculated value of x in the circle is 59

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

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

Total number in favour:

Probability:

Total number in against:

Probability:

The probability that at least one number is odd and the sum of the two numbers is even is 1/4

The probability that exactly one number is 6 and the product of the two numbers is at most 15 is 1/9

The easiest way to figure out probability problems with small data sets is to write out your entire sample space and then divide by the total:

Sample size = 6 * 6 = 36

S = {[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 only way to make a number combination that's even while 1 die is odd is to have 2 odd numbers.

{[1,1],[1,3],[1,5],[3,1],[3,3],[3,5],[5,1],[5,3],[5,5]}

This gives us 9 results.

The probability of this happening is 9/36 = 1/4 = 0.25

Now if we have to get a 6 with the product being at most 15 we know that the biggest number that 6 can be multiplied by is 2 which gives us 12.

We are left with 4 options:

{[1,6],[2,6],[6,1],[6,2]}

The probability of this happening is 4/36 = 1/9 = 0.1111...

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Step-by-step explanation:

There is a formula:

I = PRT/100

so P= (100× I) ÷ RT

P= ( 28 × 100 ) ÷ 4×7

P= $100

Answer:

y = −3

Step-by-step explanation:

Subtract 7 from 4.

y = 4  - 7 = -3

Hopefully this helps you!

In this exercise we have to use subtraction knowledge to calculate the final value of the equation, like this:

Letter C

It is a mathematical operation in which it is possible to find a quantity by decreasing one number by another, it is opposed to addition, being represented by the minus sign.

So make the calculus we have:

\(y=x-7\\x=4\\y=4-7\\y=-3\)

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Therefore, the dimensions of the parking lot can be 32 m × 24 m or 24 m × 32 m.

Let's represent the dimensions of the rectangular parking lot as 'l' and 'w.' Therefore, the perimeter of the parking lot can be expressed as:Perimeter, P = 2l + 2w

We are given the perimeter of the parking lot as 112.

Therefore,112 = 2l + 2w

Now, let's solve for l in terms of w

112 - 2w = 2l

56 - w = l  

l = 56 - w

Now, let's represent the area of the parking lot as 'A'.A = lw 768 = l w 768 = (56 - w)w768 = 56w - w²0 = w² - 56w + 768 To solve the above quadratic equation, we will use the quadratic formula:

x = (-b ± √(b² - 4ac))/2a

On substituting the given values in the above formula, we get:

w = 24 or w = 32If w = 24, then l = 56 - 24 = 32If w = 32, then l = 56 - 32 = 24

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Answer:

x=8

Step-by-step explanation:

Answer:

156°

Step-by-step explanation:

the total internal angle of a triangle in 180°
so,

180 - (85 + 71)
= 24°

this is the internal angle, to find the external angle subtract this value from 180
so,

180 - 24
= 156° (answer)

Step-by-step explanation:

Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .

Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

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The given sequence is an = n/(42+3n).

To determine whether it converges or diverges, we can use the limit comparison test. Taking the limit as n approaches infinity of the ratio of an and n, we get lim n→[infinity] an/n = lim n→[infinity] n/(n(42/ n+3)) = lim n→[infinity] 1/(42/ n+3) = 1/42.

Since the limit is a finite positive number, the sequence converges. To find the limit, we can use the fact that the sequence converges to the same limit as an = 1/(42/ n+3).

Taking the limit as n approaches infinity of 1/(42/ n+3), we get lim n→[infinity] 1/(42/ n+3) = 0. Therefore, the limit of the given sequence is 0.

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Complet question:

determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an =  n/(42+3n) lim n→[infinity] an =

The given sequence is an = n/(42+3n).

To determine whether it converges or diverges, we can use the limit comparison test. Taking the limit as n approaches infinity of the ratio of an and n, we get lim n→[infinity] an/n = lim n→[infinity] n/(n(42/ n+3)) = lim n→[infinity] 1/(42/ n+3) = 1/42.

Since the limit is a finite positive number, the sequence converges. To find the limit, we can use the fact that the sequence converges to the same limit as an = 1/(42/ n+3).

Taking the limit as n approaches infinity of 1/(42/ n+3), we get lim n→[infinity] 1/(42/ n+3) = 0. Therefore, the limit of the given sequence is 0.

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Complet question:

determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an =  n/(42+3n) lim n→[infinity] an =

The number of years it will take such that amount spent on each vehicle is the same will be 2.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Suppose after x years the amount will be the same.

5000 + 2500x = 8000 + 800x

2500x - 800x = 8000 - 5000

1700x = 3000

x = 1.76

Since x must be a whole number so it will round up so x = 2.

Hence "The number of years it will take such that amount spent on each vehicle is the same will be 2".

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Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

The probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002. To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck.

The total number of ways to choose 5 cards from a deck of 52 cards is given by the combination formula:

To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck. There are 4 aces and 4 kings in the deck, so the number of ways to choose 2 aces from 4 aces and 3 kings from 4 kings is given by:

Next, we need to find the number of ways to choose the remaining cards from the deck. There are 44 cards that are not aces or kings, so the number of ways to choose 5 cards from these 44 cards is given by:

Therefore, the total number of ways to draw 2 aces and 3 kings and 5 cards from the deck is:

Finally, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is:

Therefore, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002.

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Answer:x=2; second option

Step-by-step explanation:

120+10x=140

10x=20

X=2

Answer:

x=2

Step-by-step explanation:

triangles are always equal to 180 degrees and lines are also always equal to 180 degrees

we are given 120 degrees

we subtract 140 to get the measure of the angle inside the triangle

40

120+40= 160

180-160

the third angle is 20 degrees

Also please mark brainly I need it

Answer:

10c3 =(10)!/(3!*7!) = (10*9*8)/(3*2*1) = 10*3*4 =120

Answer:

7V

The average amount of minutes exercised on each day

Step-by-step explanation:

We are given that every day "V" amount of vegetables are eaten everyday.

If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V

E = ( M + W + F ) / 3

M = # of minutes exercised on Monday

W = # of minutes exercised on Wednesday

F = # of minutes exercised on Friday.

Note that to find the average of something you find the sum of the values and divide that by the number of values.

The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.

Answer:

Yes, there is a transformation that maps shape I onto shape II. Rotating shape I 90° clockwise about the origin maps it onto shape II.

Step-by-step explanation:

Option B is correct.

We have the two equations -

\(y= 2x^{2}\)

\(y=2x^{2} +7\)

We have determine how are these functions related and how are their graphs related.

A parabola is represented by the equation y = \($x^{2}\).

According to the question, we have -

\(y= f(x) = 2x^{2}\)

\(y=g(x)=2x^{2} +7\)

Refer to the image attached for graphs.

Now -

g(x) - f(x) = \(2x^{2} +7-2x^{2}\) = 7

Therefore -  Each output for y = g(x) is greater than the corresponding output of y = f(x).

From the graph it is clear that the graph of y = g(x) is the graph of

y = f(x) translated up 7 units.

Hence, Option B is correct.

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The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

The time dilation using the Lorentz transformation formula is presented as follows;

\(t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } \)

From the question, we have;

The spaceship's speed, v = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

\(\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8\)

The time that elapses as measured by Andrea = 8 years

Andrea's age, A, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

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Answer:

Step-by-step explanation:

For example, the base-8 numeral 23-8 contains two digits, "2" and "3", and with a base number (subscripted) "8". When converted to base-10, the 23-8 is equivalent to 19-10, i.e. 23-8 = 19-10.

The scores from least to greatest is -8. -6, 4, 7

The absolute value of the scores from least to greatest is 4, 6, 7, 8

A negative number is a number that is less than zero. Negative numbers are denoted with a minus sign in front of the number. The further away from zero a negative number is, the smaller the number. Examples of negative numbers are -2, -9.

A positive number is a number that is greater than zero. The further away from zero a positive number is, the greater the number. Examples of negative numbers are 2, 9.

The scores from least to greatest is: -8. -6, 4, 7

The absolute value of a number is when the negative signs from the numbers are removed.

The absolute value of the scores from least to greatest is: 4, 6, 7, 8

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The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

Answer: B

Step-by-step explanation: ik

Answer: A: 210 B: 26.25

Step-by-step explanation: i forgor

Answer:

9 1/3

Step-by-step explanation:

4 2/3 ÷ 1/2

Write the mixed number as an improper fraction

(3 * 4 +2)/3 = 14/3

14/3 ÷1/2

Copy dot flip

14/3 * 2/1

28/3

Divide 28 by 3

9 with 1 left over

Put the left over part on top of the denominator

9 1/3

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer: 105

Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!

He equation that rightly shows the Commutative Property of addition is

10 x3/10 = 3/10 x 10

The Commutative Property of Multiplication states that changing the order of the factors doesn't change the product. In other words, when you multiply two figures, it doesn't count which number comes first. The equation 10 x3/10 = 3/10 x 10 is an illustration of this property, as both sides of the equation represent the same value, indeed though the order of the factors is different.

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