Can you help me please. I need to find A’B’C’

The completed table of values obtained by using the data and the values per 100 km is presented as follows;

3 a. \(\begin{array}{|c|c|c|c|}L \ per \, 100\, km & Litres \ used&L\, per \, 100\, km&Litres\ used \\23.5 &3525&3.9&585 \\11.7 & 1755 & 3.4&510\\7.8 & 1170&2.9&435 \\5.9 &885&2.6&390 \\ 4.7&705&2.3&345 \\\end{matrix}\)

A dataset is a collection of information which are related but contains elements of different values, and can be analyzed or manipulated through the use of computation methods.

The table of values is completed using the following calculations;

The distance each vehicle travels in a year = 15,000 km

The amount of fuel each vehicle uses is calculated as follows;

First car;

1. L per 100 km = 23.5 L

Liter used per year = 15,000 km/(100 km) × 23.5 L = 3525 L

2. L per 100 km = 11.7 L

Liter used per year = 15,000 km/(100 km) × 11.7 L = 1755 L

3. L per 100 km = 7.8 L

Liter used per year = 15,000 km/(100 km) × 7.8 L = 1170 L

4. L per 100 km = 5.9 L

Liter used per year = 15,000 km/(100 km) × 5.9 L = 885 L

5. L per 100 km = 4.7 L

Liter used per year = 15,000 km/(100 km) × 4.7 L = 705 L

6. L per 100 km = 3.9 L

Liter used per year = 15,000 km/(100 km) × 3.9 L = 585 L

7. L per 100 km = 3.4 L

Liter used per year = 15,000 km/(100 km) × 3.4 L = 510 L

8. L per 100 km = 2.9 L

Liter used per year = 15,000 km/(100 km) × 2.9 L = 435 L

9. L per 100 km = 2.6 L

Liter used per year = 15,000 km/(100 km) × 2.6 L = 390 L

10. L per 100 km = 2.3 L

Liter used per year = 15,000 km/(100 km) × 2.3 L = 345 L

The above values are used to complete the table as shown in the main section of the page above;

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A graph that shows a slow and steady increase at first, followed by a steeper increase as the bottle approaches full capacity, would be the most accurate representation. Without seeing the available graphs, it's difficult to say which one is the best representation.

The best graph to represent the height of water in a spherical bottle as a function of the amount of water in the bottle is a non-linear graph that has a curved shape.

As the volume of water in the bottle increases, the height of the water will also increase, but not at a constant rate. The curve will become steeper as the bottle fills up, because the same amount of water will fill less and less of the remaining space in the bottle. Therefore, a graph that shows a slow and steady increase at first, followed by a steeper increase as the bottle approaches full capacity, would be the most accurate representation.

The height of water in a spherical bottle as a function of the amount of water in the bottle would be represented by a non-linear graph that has a curved shape. As the volume of water in the bottle increases, the height of the water will also increase, but not at a constant rate. The curve will become steeper as the bottle fills up, because the same amount of water will fill less and less of the remaining space in the bottle.

The most correct illustration would be a graph showing a gradual increase at initially, followed by a sharper increase as the bottle nears capacity. It's challenging to determine which graph is the best depiction without seeing the available graphs.

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Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

Two line segments are said to be congruent if, regardless of their orientation or position, their lengths are the same.

If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent.

Two sides that are the same length make up an isosceles triangle .In addition, it contains two equal-sized angles located across from the two sides of equal length. A triangle with three identical sides is called an equilateral triangle.

So

According to the given information

Segment AD = Segment BC

Two line segments are said to be congruent if, regardless of their orientation or position, their lengths are the same.

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Answer:

There are 180 degrees in the 3 angles of a triangle.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

x² + 14x = 51

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = 51 + 49 , that is

(x + 7)² = 100 ( take the square root of both sides )

x + 7 = ± \(\sqrt{100}\) = ± 10 ( subtract 7 from both sides )

x = - 7 ± 10

Thus

x = - 7 - 10 = - 17

x = - 7 + 10 = 3

Answer:

Yes you can

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You should know the area of a circle, A = πr².

So, all you need to find is the area of half a circle, or A = \(\frac{1}{2}\) πr²

We see that the radius is half of the diameter or r = 6 in.

A = \(\frac{1}{2}\) (3.14)(6)²

A = 56.52 in²

Answer:

what do you need help with

Step-by-step explanation:

Answer:

a) We can not estimate the probability.

b) Zero probability.

c) There is a probability between 95% and 99% that they have between 475 and 525 customers on a given day.

Step-by-step explanation:

a) We can not said nothing because we only know the average of customers per day. We need to know the probability distribution of the amount of customers per day to answer this question.

b) Now that we know that the variance is 100, although we do not know the exact distribution of the values, we can use the empirical rules to estimate the probability of having at least 700 customers on a given day.

If the variance is 100, the standard deviation is √100=10.

Applying the empirical rule (68-95-99.7 rule), we know that there is probability 0.15% of having at least 500+3*10=530 customers per day (more than 3 deviations from the mean).

Then, we can conclude that the probability of having at least 700 customers per day is zero.

c) To estimate this probability, we have to calculate how many deviations from the mean this values represent:

\(\Delta_1=475-500=-25=2.5\sigma\\\\\Delta_2=525-500=25=2.5\sigma\)

We have an interval that have a width of ±2.5 deviations from the mean.

For 2 deviations from the mean, it is expected to have 95% of the data.

For 3 deviations from the mean, it is expected to have 99.7% of the data.

Then, for the interval 475 to 525, we can estimate a probability between 95% and 99%.

Answer:

y = \(-2^x\)

Step-by-step explanation:

If the equation of a function is in the form of y = h(x)

When the graph of this function is reflected across x-axis,

Transformed function will be,

y = -h(x)

Further reflected across y-axis, then the transformed function will be,

y = -h(-x)

By this rule,

Given equation when reflected across x-axis,

y = \(-(\frac{1}{2})^{x}\)

Further reflected across y-axis,

y = \(-(\frac{1}{2})^{-x}\)

y = \(-(2^{-1})^x\)

y = \(-2^x\)

ANSWER:

-272

STEP-BY-STEP EXPLANATION:

We have the following operation:

As they are all of the same (negative) sign, they are added and the negative sign is put, just like this:

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(rain) = p(R) = 30% = 0.3

P(being late Given that it rains) = P(late | rain) = p(L|R) = 0.4

P(being late Given no rain) = P(late | no rain) = 0.15

(a) What is the probability that it will rain and the bus will be late? = P(RAINnLate) = P(RnL)

P(RnL) = p(R) * p(L|R)

P(RnL) = 0.3 * 0.4

= 0.12

(b) What is the probability that the bus will be late?

P(L) = p(R) * p(L|R) + p(no rain) * p(late | no rain)

P(L) = (0.3 * 0.4) + (1 - 0.3)*(0.15)

P(L) = 0.12 + 0.105

P(L) = 0.225

(c) Given that the bus ran late, what was the probability that it was not raining?

Given that bus ran late, the probability that it was not raining = p(no rain | Late)

p(no rain | Late) = 1 - p(R | L)

Recall :

P(RnL) = p(L) * p(R|L)

0.12 = 0.225 * p(R|L)

p(R|L) = 0.12 / 0.225

p(R|L) = 0.5333

p(no rain | Late) = 1 - 0.533

= 0.46666

= 0.467

Answer:

ok i will give you answer

it's interpreted as 28 - 21 = 7

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

I pretty sure the answer is 171,000 . but if i'm wrong someone can correct me

Step-by-step explanation:

Answer: n + 10

Step-by-step explanation:

X = The Length

The perimeter = 2 x 60+2 x = 300 ft

\(2x = 180\)

\(x = 90\)

\(60 x 90ft\) or \(20 x 30 yds\)

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer:

A. 147

Step-by-step explanation:

Divide the polygon into rectangles.

You will have 2 rectangles:

1) 3 x 10

2) 9 x 13

Now you just need to find the area of this 2 rectangles and add them up.

No, being Independent and being a swing voter is not disjoint that mutually exclusive.

As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;

The 11% of respondents are  identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.

Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.

Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.

The given question is incomplete , the complete question is

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?

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