Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)

The number of carbohydrates from 10 different tortilla sandwich wraps sold in a grocery store was collected.

Which graphical representation would be most appropriate for the data, and why?

Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data point
Stem-and-leaf plot, because you can see each individual data point
Question 12(Multiple Choice Worth 2 points)
(Comparing Data MC)

The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.

Bus 14, with a median of 14
Bus 18, with a mean of 12
Bus 14, with a mean of 14
Bus 18, with a median of 12
Question 13(Multiple Choice Worth 2 points)

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

its option 3;92667

Step-by-step explanation:

6 and 8 is 68 so 9 2667 its 92667

Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.

2x+8=6y

now we want x alone on one side so we subtract 8 on both sides.

2x=6y-8

divide by 2

x=3y-4

Answer:

x = 3y - 4

Step-by-step explanation:

Given

3x + 8 = x + 6y ( subtract x from both sides )

2x + 8 = 6y ( subtract 8 from both sides )

2x = 6y - 8 ( divide all terms by 2 )

x = 3y - 4

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

8 I believe

step-by-step explanation:

Answer:

( 0, - 2 )

Step-by-step explanation:

Mid point formula : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

Therefore,

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

Therefore,

x2 = 4

y2 = - 2

Midpoint of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.

What is the Midpoint of a Line?

The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.

Mid point formula is  given as : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

x2 = 4

y2 = - 2

now using Midpoint formula to find the coordinates of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

Therefore, the midpoint of AC is ( 0, - 2 )

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Answer:

sorry dont know the answer

Step-by-step explanation:

Answer: Because the initial value is $26.40, the line must pass through this when x is 0. Thus, the answer is either the first or the second equation.

Next, we calculate the difference between the year 2019 and 1998 and substitute it into the value of x.

2019 - 1998 = 21.

Substituting this into the equation:

y = 1.006(21) + 26.40

y = $47.52

Thus, the first option is correct.

Answer:

>

Step-by-step explanation:

it says fewer, meaning 11 or below

Answer:

3rd symbol

Step-by-step explanation:

Answer:

E = 8

Step-by-step explanation:

y - x = 4

y - (3y) = 4

y - 3y = 4

2y = 4

y = 4/2

y = 2

x = 3y

x = 3×2

x = 6

x + y = 2+6

x+y = 8

A regression residual, which is the difference between the actual value of Y and the estimated value of Y, is represented by e subscript i (A).

A. a regression residual, the difference between the actual value of y and the estimated value of y

B. the true slope parameter of the regression line

C. the estimated slope parameter of the regression line

D. the true y intercept parameter of the regression line

E. the estimated mean of Y for a given value of the X variable

F. the estimated y intercept of the regression line

G. the random error term of the regression model

In the simple regression model, there are several symbols and terms used to represent different parameters and variables.

The true slope parameter of the regression line is represented by β1 (B), while the true y intercept parameter is represented by β0 (D). The estimated slope parameter is represented by b1 (C), and the estimated y intercept is represented by b0 (F).

The estimated mean of Y for a given value of the X variable is represented by Y with hat (E), which is also known as the predicted or fitted value of Y.

The random error term of the regression model is represented by epsilon (G), which represents the variation in Y that cannot be explained by the regression line.

Finally, a regression residual, which is the difference between the actual value of Y and the estimated value of Y, is represented by e subscript i (A).

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Answer:

x=26

Step-by-step explanation:

Simplify both sides of the equation.

16+

x

13

=18

16+

1

13

x=18

1

13

x+16=18

Step 2: Subtract 16 from both sides.

1

13

x+16−16=18−16

1

13

x=2

Step 3: Multiply both sides by 13.

13*(

1

13

x)=(13)*(2)

x=26

Answer:

add 4.3x to both sides of the equation

Step-by-step explanation:

Answer:

Daniel's time: 3 minutes 45 seconds

Brandon's time: 3 minutes 27 seconds

Step-by-step explanation:

Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2

then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for  Daniel.

For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2

This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;

Answer:

26

Step-by-step explanation:

I got it right on imagine math

Answer:

x = 5

Step-by-step explanation:

8x + 7 = 2x + 37  Subtract 2x from both sides of the equation

6x + 7 = 37  Subtract 7 from both sides

6x = 30  Divide both sides by 6

x = 5

Or you could plug in 5 for x and solve.  If the equation is true, that is the answer

x= 5

8x + 7  = 2x + 37

8(5) + 7 = 2(5) + 37

40 + 7 = 10 + 37

47 = 47

If you try this with any other number, it will not equal.  Lets try x = 11

8x + 7 = 2x + 37

8(11) + 7 = 2(11) + 37

88 + 7 = 22 + 37

95 ≠ 59 so x does not equal 11

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

the null hypothesis for the given t-test\(`[h, p, 0] = ttest(morningsections, eveningsection)`\)

In the t-test formula for hypothesis testing, the null hypothesis states that there is no difference between the two groups being tested. Therefore, for the given t-test below:

`[h, p, 0] = ttest(morningsections, eveningsection)`,

the null hypothesis is that there is no significant difference between the average bedtimes of students in morning sections versus evening sections.

To explain further, a t-test is a type of statistical test used to determine if there is a significant difference between the means of two groups. The formula for a t-test takes into account the sample size, means, and standard deviations of the two groups being tested. It then calculates a t-score, which is compared to a critical value in order to determine if the difference between the two groups is statistically significant.

In this case, the two groups being tested are morning sections and evening sections, and the variable being measured is the average bedtime of students in each group. The null hypothesis assumes that there is no significant difference between the two groups, meaning that the average bedtime of students in morning sections is not significantly different from the average bedtime of students in evening sections.

The alternative hypothesis, in this case, would be that there is a significant difference between the two groups, meaning that the average bedtime of students in morning sections is significantly different from the average bedtime of students in evening sections. This would be reflected in the t-score obtained from the t-test, which would be compared to the critical value to determine if the null hypothesis can be rejected or not.

In conclusion, the null hypothesis for the given t-test\(`[h, p, 0] = ttest(morningsections, eveningsection)`\) is that there is no significant difference between the average bedtimes of students in morning sections versus evening sections.

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Answer:

He missed 10 questions and got 30 right

Step-by-step explanation:

So we could do 0.75 times 40 and we would get 30

So he got 30 questions right which isn't too bad

Answer:

287

Step-by-step explanation:

Answer:

Part a) to find the maximum height of the snowball, you have to differentiate the function. Therefore you get ----> dh/dt= -32x-8 . Now equate this to zero and solve for x. x= (-1)/4 now sub this value in to find h(x) [note: i'm talking about the original function] . I got h max = h((-1)/4) = 9 which is the max height.

Step-by-step explanation:

I'm not too sure about the other questions. Sorry

Step-by-step explanation:

remember, i = sqrt(-1)

you know what an exponent means, right ?

it means you multiply the enclosed term that many times with itself.

when you envision this as a long chain of (1+i)/(1-i) multiplications, you can see you can group them into pairs, and then multiply these pairs - just half the times than for the single terms.

so,

((1+i)/(1-i))²⁰²⁰ = ((1+i)/(1-i))² ^ 1010

to get an idea what the result of the long chain of multiplications might be, let's start with the square and see, if we can find a pattern, that we then can use to come to a conclusion about the total result.

((1+i)/(1-i))² = (1+i)²/(1-i)²

(1+i)² = 1×1 + 1×i + 1×i + i² = 1 + 2i - 1 = 2i

(1-i)² = 1×1 - 1×i - 1×i + i² = 1 - 2i - 1 = -2i

so,

((1+i)/(1-i))² = 2i/-2i = -1

aha !

so,

((1+i)/(1-i))² ^ 1010 = (-1)¹⁰¹⁰

just to be sure you understand, we use the same trick again

(-1)¹⁰¹⁰ = (-1)² ^ 505 = 1⁵⁰⁵ = 1

as 1 to any power is always 1.

so, the right answer is A.

remember, a negative number to an even power results always in a positive number. and to an uneven/odd power in a negative number.

again, because such an exponent is only the summary of many multiplications.

The probability expression is \(\frac{^{6}C_2}{^{20}C_2}\)

The given parameters are

The total number of people is

n = 20

2 of the 20 people are to be selected.

So, the number of selection is

\(n = ^nC_r\)

This gives

\(n = ^{20}C_2\)

The expression that represents both students being sophomore is

\(n = ^{6}C_2\) --- i.e. 2 students selected from 6

The probability is then represented as:

\(\frac{^{6}C_2}{^{20}C_2}\)

Hence, the probability expression is \(\frac{^{6}C_2}{^{20}C_2}\)

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Answer:

a

Step-by-step explanation:

edge 2023

Answer:

d

Step-by-step explanation:

hope it helps you here you go

The average value of f over the rectangle R is 6(e2 - 1).

To find the average value of the function f(x, y) = 4ey x ey over the rectangle R = [0, 6] ⨯ [0, 1], we need to calculate the double integral of f over R and divide it by the area of R:

fave = (1/area(R)) ∬R f(x, y) dA

where dA denotes the area element in the xy-plane.

First, we can simplify the expression for f(x, y) by using the properties of exponentials:

f(x, y) = 4ey x ey = 4e2y x

Now we can evaluate the integral:

f_ave = (1/area(R)) ∬R f(x, y) dA

= (1/(6*1)) ∫[0,6] ∫[0,1] 4e2y x dy dx

= (1/6) ∫[0,6] 4x ∫[0,1] e2y dy dx

= (1/6) ∫[0,6] 4x [e2y/2]0¹ dx

= (1/6) ∫[0,6] 2x (e2 - 1) dx

= (1/3) (e2 - 1) ∫[0,6] x dx

= (1/3) (e2 - 1) [(6²)/2]

= (18/3) (e2 - 1)

= 6(e2 - 1)

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Answer:

D. 82 degrees

Step-by-step explanation:

Central angles have the same measure as the arcs that they make.

The measure of the arc is 82 degrees, which means that the central angle ABC must also be 82 degrees.

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

A: True

Step-by-step explanation: