Using the line of best fit for the above data, what is the approximate difference between the actual value for x = 10 and the predicted value for x= 10?
A. 1.60
B. 1.65
C. 1.70
D. 1.75

Answer:

None

Step-by-step explanation:

They have the same slope so they are parallel and will never intersect.

Answer:

No solutions

Step-by-step explanation:

I just did it on Khan Academy.

Answer:

1.  Y = -1/4x + 1

3. Y = 2/5x + 1

5. Y = 4/5x + 5

7. Y = -x + 5

9. Y = -5/2x - 16

Step-by-step explanation:

Find the slope using the formula

Use the slope and one of the points to find the y-intercept

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Here's the solution,

volume :

=》

\( \dfrac{1}{2} \times 12 \times 5 \times 3\)

=》

\(90 \: \: m {}^{3} \)

surface area :

=》

\((13 \times 3) + (5 \times 3) + (12 \times 3) + (2 \times \dfrac{1}{2} \times 12 \times 5)\)

=》

\(39 + 15 + 36 + 60\)

=》

\(150 \: \: {m}^{2} \)

Answer:

y = 1/3x − 6

Step-by-step explanation:

Answer:

y = 1/3x − 6

Step-by-step explanation:

:)

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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The solution to the system of equations is (-7, 5)

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + y = -9

3x + 5y = 4

Make y the subject in 2x + y = -9

So, we have

y = -2x - 9

Substitute y = -2x - 9 in 3x + 5y = 4

So, we have

3x + 5(-2x - 9) = 4

Open the bracket

So, we have

3x - 10x - 45 = 4

Evaluate the like terms

-7x = 49

Divide both sides by -7

x  = -7

Substitute x  = -7 in y = -2x - 9

y = -2(-7) - 9

Evaluate

y = 5

Hence, the solution to the system of equations is (-7, 5)

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the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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The value of x is 1/3

Equations are expressions separated by an equal sign

Given the following equation

21x = 7

We are to find the value of x. Divide both sides by 21

21x/21 = 7/21

x = 7/21

x = 1/3

Hence the value of x is 1/3

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Answer:

0/3 that’s what my teacher said on this test

Step-by-step explanation:

Answer: 48, 24, 8,

Step-by-step explanation:

The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.

A sector of a circle is simply part of a circle made up of an arc and two radii.

The area of a sector of a circle can be expressed as:

Area = (θ/360º) × πr²

Where θ is the sector angle in degrees, and r is the radius of the circle.

From the image:

Measure of central angle θ = 60 degrees

Radius r = 8 units

Plug these values into the above formula and solve for the area:

Area = (θ/360º) × πr²

Area = (60°/360°) × π × 8²

Area = 1/6 × π × 64

Area = 1/6 × π × 64

Area = 33.5 sqaure units.

Therefore, the area is approximately 33.5 sqaure units.

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Answer:

2.9 per second

Step-by-step explanation:

The table for the marginal product is as below

workers    output     marginal product

10                0                 -

20               80               8

30               140              6

40               180              4

The marginal product is computed by dividing the change in the output functions by the change in the input functions.

first

(80 - 0) / (20 - 10)

= 80 / 10

= 8

second

(140 - 80) / (30 - 20)

= 60 / 10

= 6

third

(180 - 140) / (40 - 30)

= 40 / 10

= 4

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Answer:

-0.5

Step-by-step explanation:

Answer: b

Step-by-step explanation:

The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).

I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!

Chad's car achieved an average rate of 10 miles per gallon.

The unit rate of miles per gallon can be calculated by dividing the total miles driven by the amount of gas consumed.

In this case, Chad drove 20 miles and used 2 gallons of gas.

To find the unit rate, we divide the miles by the gallons:

20 miles / 2 gallons = 10 miles per gallon.

Therefore, the unit rate of miles per gallon for Chad's car is 10 miles per gallon.

This means that for every gallon of gas Chad's car consumes, it is able to travel a distance of 10 miles.

It's important to note that the unit rate can vary depending on factors such as driving conditions, speed, and the type of car, but in this scenario, Chad's car achieved an average rate of 10 miles per gallon.

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Answer:

ll available yellow and red flowers at the two businesses

Population: all available flowers at the two businesses

Step-by-step explanation:

The sample and population should be sample represents all yellow and red flowers while the population represents all flowers.

The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.

An entire group from which a conclusion should be derived is referred to as a population. The sample, on the other hand, refers to the population from which the data is drawn.

So based on this, we can say that the sample represents all yellow and red flowers while the population represents all flowers.

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The individual most closely associated with innovations in photographic equipment was George Eastman

American businessman George Eastman helped popularize the use of roll film in photography by founding the Eastman Kodak Company.

George Eastman's entrepreneurial passion, fearless leadership, and amazing vision revolutionized the globe. He revolutionized the photography, film, and motion picture industries and is credited with establishing the Eastman Kodak Company, which will live on throughout history.

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complete question;

The individual most closely associated with innovations in photographic equipment was ________

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Answer:

y = -8/3x + 73/4

Step-by-step explanation:

A line perpendicular to the 3rd equation has a slope that is the negative inverse of the other line. It also has the same y-intercept (b) because it is forming a square.

Therefore, the equation of the 4th line is:

y = -8/3x + 73/4

Answer:

-2.50

Step-by-step explanation:

3 is closer to 0then 10

Answer:

-2.53

Step-by-step explanation:

Already rounded to the nearest Hundredth

Answer: \(-3x^{2} +6x+9\)

Step-by-step explanation:

The expression that gives the volume of the Sphere with radius 7  is  (4/3)π(7³) , the correct option is (a) .

In the question ,

it is given that

the radius of the sphere is 7 .

we need to find the expression that represents  the Volume of the Sphere when radius is 7 .

the formula for the Volume of the Sphere is (4/3)π(r³) .

Substituting the value of radius = 7 , in the formula ,

we get ,

Volume = (4/3)π(7³)

Therefore , The expression that gives the volume of the Sphere with radius 7 is  (4/3)π(7³) .

The given question is incomplete , the complete question is

Which expression gives the volume of a sphere with radius 7 ?

(a) (4/3)π(7³)

(b) (4/3)π(7²)

(c) 4π(7²)

(d) 4π(7³)

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Answer: 9.42 Feet or 9 Feet 5.04 Inches

Step-by-step explanation: To solve for the circumference, the equation you must use is C = 2πr (Circumference = 2pi(3.14)radius(half of the diameter)).

Answer:

= 2x - 2

Step-by-step explanation:

-(-2x + 2)

= -(-2x) - (2)

= 2x - 2