Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents older than 89 years old knew that Amelia Earhart was the first woman to fly solo across the Atlantic Ocean.

Determine the graph to represent this scenario.

number line with open circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the left
number line with open circle on the number 89 and line shaded to the left

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

The slope of the given line is [tex]\frac{-2-4}{-2-1}=2[/tex].

Parallel lines have the same slope, so the equation is:

[tex]y-6=2(x-1) \\ \\ y-6=2x-2 \\ \\ y=2x+4[/tex]

Answer: 264.5

Step-by-step explanation:

(-81.7) + 346.2

346.2 - 81.7 = 264.5

The required equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

The slope of a line is expressed as the gradient of the line.

Given that line passes through the points (-9,5), (17,-8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -9, y₁ = 5

x₂ = 17, y₂ = -8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 5 = (-8- 5)/(17-(-9))[x -(-9)]

⇒ y - 5 = (-13)/(26)[x +9]

⇒ y - 5 = -1/2(x +9)

⇒ y = -(1/2)x - 9/2 + 5

⇒ y = -(1/2)x + 1/2

Therefore, the equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

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Answer:

[tex]1.8 \times {10}^{2} = 180[/tex]

Step-by-step explanation:

[tex] \frac{9 \times {10}^{5} }{5 \times {10}^{3} } = \frac{9}{5} \times \frac{ {10}^{5} }{ {10}^{3} } = 1.8 \times {10}^{2} = 1.8 \times 100 = 180[/tex]

The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

210 dollars = 17 square feet.

x dollar = 1 square feet.

Cross-multiplying, we have:

17x = 210

x = 210/17

x = 12.35 ≈ 12

Therefore, the unit rate is equal to 12.

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The value of gf(4) is 18

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given,

f(x) = x + 2

g(x) = 3x

Now we need Function of a function

i.e. g[f(x)]

Then on g(x) we have to replace the x with f(x)

Thus,

g[f(x)] = 3(x + 2)

         = 3x + 6

Now by evaluating at

x = 4 i.e.

gf(4) = 3(4) + 6

gf(4) = 12 + 6

gf(4) = 18

Hence, The value of gf(4) = 18

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Answer:

B No solution

Step-by-step explanation:

3(x+ 4) = 3x + 4  Distribute the 3

3(x) + 3( 12) = 3x + 4

3x + 12 = 3x + 4   There is not number that I can multiply by 3 and then add to 12 on one side and add to 4 on the other side of the equal sign to make a true statement, so the answer is no solution.

3x + 12 = 3x +4  Subtract 3x from both sides

12≠4.  A false statement means no solution.

When the equation is simplified and the coefficient of the variable (the number before the letter) is the same on both sides of the equation and the constraints (the numbers without letters) are different, this will result in no solution.

Answer:

Food desert census tracts typically have fewer populations than all other census tracts, a higher percentage of unoccupied or abandoned dwellings, and residents who are less likely to have a college degree, make less money, or be employed.

Answer:

Hi! I'm pretty sure the question is: Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two towns at the same time so that one is catching up to the other. How long after the trains leave will they be 10 miles apart for the first time? How long after the trains leave will they be 10 miles apart for the second time?

I have had a similar question before, and I will answer yours. :)

Step-by-step explanation:

T1 - the time the trains are moving to each other.

For time T1, the first train will go the distance of 70*t.

The second train, for time t, will go the distance 60*t.

Both for time t1  - 70t+60(t1) =  (70+60)*(t1).

45 - (70+60)*t is the distance between trains that left after t hours.

For the first time, they will be 10 miles apart when they are moving into each other

45 - (70+60)*t = 10

45-10 = (70+60)*t

35 = 130*t

t=35/130 h =7/26 h = 0.27 h

The train meets when distance = 0

45 - (70+60)*t = 0

45 = 130t

t  =45/130 h = 9/26 h = 0.35 h when trains met.

Trains began to move apart from each other after 9/26 h moving,

After t2 time trains will be (70+60)*(t2) = 130*(t2) mi apart from each other.

130*(t2) =  10

t2 = 1/13h = 0.08h after they met, they are apart from each other 10 mi.

So after the beginning of the movement, it will be time when they met + time when they were moved  10 mi apart from each other

9/26 h+1/13h = 11/26 h = 0.42 h

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

The given condition needs the following function;

Data Integration Error:

Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.

So, we use " COUNTA "

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

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Answer: x=3

Step-by-step explanation:

Simplify equation to get 8x=24. Divide 24 by 8 to get x=3. Please give brainliest :D

Answer:

Step-by-step explanation:

First add 17 to both sides to isolate the variable (usually the one with the bigger coefficient is best)

subtract 15x from both sides to combine 23X and 15X terms

Divide by 8 to solve

The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.

Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.

He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal

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Answer:

-.5

Step-by-step explanation:

u=2+-2.5=.5

Answer:

24

Step-by-step explanation:

2(x-3)

2(15-3)

2(12)

24

Hopes this helps please mark brainliest

Answer:

24

Step-by-step explanation:

2(x - 3)

==> plug in x = 15

2(15 - 3)

==> subtract 3 from 15

2(12)

==> multiply 2 and 12

=24

Remember we evaluate using pemdas

Parenthesis

Exponents

Multiplication and Division (going left to right)

Addition and Subtraction (going left to right)

This is the order of operations we use to determine which operation we perform. Here we first used "parenthesis" and did all operations inside of the parenthesis. We then ended with multiplication

Yes the diagram has enough information to prove that line segment JK is parallel to line segment ML

A rectangle is a polygon that has four sides. the two opposite sides are parallel to each other.

The given figure is a rectangle and according to the figure line LK is equal to line JM

This defines a parallel line which are lines that are equally spaced apart such that the lines will never meet

hence line segment JK is parallel to line segment ML since they are equally spaced, the spacing is achieved by line segment LK and line segment JM

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Answer:

A

Step-by-step explanation: Rise/run. is important

it goes up 4 and then over 6 and so we have to simplify which is 2/3 and snice it is going down it is negitive.

There is a 136.13 probability that 3 won't increase.

Only 0.65% of seeds will grow into robust plants.

There is a 0.35 probability that a seed won't grow into a robust plant.

In this case, n = 12 and r = 3.

11 seeds will sprout if 1 seed doesn't germinate. Raising 0.65 to the power of 11 and 0.35 to the power of 3 will result in the following: 11 seeds develop, and we use the 11th power; 3 seeds do not grow, so we use the power of 3:

So, the response is:

[tex]{}^{12}C_3[/tex] × [tex]{(chance of successful growth) }^{11}[/tex]x [tex](chance of Unsuccessful growth)^3[/tex]

= [tex]{}^{12}C_3[/tex] × [tex]0.65^{11}[/tex] × [tex]{0.35}^3[/tex]

= 362880 × 0.008750 × 0.042875

= 136.13

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He can wear 24 different  outfits can he wear to school .

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Juan owns 8 pairs of pants, 1 shirt, 3 ties and  1 jacket

So, number of outfits can he wear to school is

= 8 x 1 x 3 x 1

=24

Hence, he can wear 24 different  outfits can he wear to school .

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The approximate length of each side of the box is 18 inch.

The distance between the center of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian. The shortest path between any two points on a sphere called a geodesic. The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.

The circumference of a circle or other curved geometric object refers to its length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.

Given,

Circumference of circle = 56.5

c = π diameter

diameter = 3.14 × 56.5

diameter = 18

The approximate length of each side of the box is 18 inch.

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Answer:

d is correct

Step-by-step explanation:

[tex].25p = 10[/tex]

[tex]p = 40[/tex]

So d is correct.

The value after solving the expression will be equal to 6.5.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

The expression is,

2 - (-4.5)

⇒ 2 + 4.5

= 6.5

Therefore, the result for the expression is 6.5.

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Answer:

Equivalent

Step-by-step explanation:

The equation is equivalent because they are just written the other way around although if you were to rewrite them both they would both be 9x+7

Expressions 9x+7 and 7+9x are equivalent and the equation has infinitely many solutions.

An expression is combination of variables, numbers and operators.

The expressions 9x+7 and 7+9x are equivalent because they have the same terms, although the order of the terms is different.

Let us check their equivalence.

9x+7 = 7+9x (commutative property of addition)

9x = 9x (subtract 7 from both sides and subtract 9x from both sides)

Both expressions simplify to the same thing, which means they are equivalent.

In terms of an equation, if we set these two expressions equal to each other, we get:

9x+7 = 7+9x

Simplifying this equation gives:

9x - 9x = 7 - 7

0 = 0

This means that the equation has an infinite number of solutions, since any value of x will satisfy.

Hence, expressions 9x+7 and 7+9x are equivalent and the equation has infinitely many solutions.

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The mean absolute percentage error is 33.3%

The mean absolute percentage error measures the forecast accuracy by determining how well a particular forecasting method is able to reproduce the time series data that are already available.

This method is referred to as the forecasts of accuracy, which help to measure the number of errors that are in a former forecast.

Then this would factor these errors into a new forecast while making adjustments to the new forecast.

Forecasted sales were $4,000

Actual sales were $3,000

Absolute error = |Actual sales - Forecasted sales|

                        = |3,000-4,000|

                        = 1000

Mean Absolute error percentage = (Absolute error / Actual sales) *100%

                                                       =(1000/3000)*100

                                                       = 33.33%

Hence, The Mean Absolute error percentage is 33.3%

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Using the theories of probability, we got that 0.0260 is the probability  of choosing 4 spades and 2 cards that are not spades and 0.1202 is the probability of choosing 2 red face cards  from a well shuffled deck of 52 playing cards..

We know a deck of 52 playing cards has  13 hearts, 13 clubs, 13 spades,

13 diamonds.

∴  The possibility that she chooses 4 spades and 2 cards that are not spades is,

= ([tex]^1^3C_4[/tex]×[tex]^3^9C_2[/tex])/([tex]^5^2C_6[/tex])

As from the 13 spade cards 4 are chosen, so now we are left with (52 - 4) = 48

and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 - 9) = 39.

= (13!/(13 - 4)!×4!)×(39!/(39 - 2)!×2!)/52!/(52 - 6)!×6!

= (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)

= (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)

= (529815)/(20358520)

= 0.026.

Similarly, the probability of choosing 2 red face card is given by

=([tex]^6C_2[/tex]×[tex]^4^6C_4[/tex])/([tex]^5^2C_6[/tex])

=[ [(6! / (2!.4!)] × [46! / (4!.42!)] ]/ [52! / (6!.46!)]

=(15×163185)/20358520

=0.1202.

Hence, the probability of choosing 4 spades and 2 cards by carrie that are not spades is 0.026 and the probability of choosing 2 red face cards by carrie is 0.1202.

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Answer:

Slope is equal to the change in y y over the change in x x, or rise over run. m = change in y change in x m = change in y change in x. The change in x x is equal to the difference in x-coordinates (also called run ), and the change in y y is equal to the difference in y-coordinates (also called rise ). m = y2 −y1 x2 −x1 m = y 2 - y 1 x 2 - x 1.

The expression that represents the distance between -3/4 and -0.2 on a number line is |-3/4 + 0.2|

The distance between points on a number line is the number of units or points between these points

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

Distance between -3/4 and -0.2 on a number line

This means that

Endpoints = -3/4 and -0.2

These endpoints can be represented as

Endpoint 1 = -3/4

Endpoint 2 = -0.2

The distance between these endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2|

Substitute the known values in the above equation, so, we have the following representation

Distance = |-3/4 - -0.2|

Evaluate the difference

Distance = |-3/4 + 0.2|

Hence, the distance expression is |-3/4 + 0.2|

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Slope between the points (-10, 5) and (14,-3) is -1/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope between points (-10, 5) and (14,-3)

m=-3-5/14+10

m=-8/24

m=-1/3

Hence, slope between the points (-10, 5) and (14,-3) is -1/3.

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Answer:

b = 10.06 in

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (10.5)² = b² + (3)²

→ 110.25 = b² + 9

→ b² = 110.25 - 9

→ b = √101.25

→ [ b = 10.06 in ]

Hence, value of b is 10.06 in.