Imagine that a scatter plot shows 3 ordered pairs Discuss the accuracy and usefulness of the equation of the line of best fit of this scatter plot.

Answer:

The total amount of water Andre brought for the hike was, 3.0 liters.

Step-by-step explanation:

Let the total amount of water Andre brought for the hike be denoted by, x.

It is provided that he drank 1.5 liters of the water during the first part of the hike.

Also, this 1.5 liters of the water is 50% of the water he brought, i.e.

\(1.5\ \text{lt}=50\%\ \text{of}\ x\)

Compute the value of x as follows:

\(1.5\ \text{lt}=50\%\ \text{of}\ x\)

     \(x=\frac{1.5}{50\%}\)

        \(=\frac{1.5}{50}\times 100\\\\=1.5\times 2\\\\=3.0\)

The total amount of water Andre brought for the hike was, 3.0 liters.

Remember that

97 1/2 % is the same that 97.5%

Let

x ----> the number

so

97.5%=97.5/100=0.975

0.975*x=117

solve for x

x=117/0.975

x=120

Answer: No because 7^2 + 12^2 doesn’t equal 14^2

Step-by-step explanation:

7^2 + 12^2 equals 193. But 14^2 = 196 so the answer is no.

From the given data by doing unit conversion, 250 mL is approximately equal to 8.4535 fluid ounces.

Unit conversion is the process of converting a given quantity from one unit of measurement to another.

To convert milliliters (mL) to fluid ounces (fl oz), you can use the following conversion factor:

1 mL = 0.033814 fl oz

To convert, simply multiply the number of milliliters by 0.033814 to get the equivalent volume in fluid ounces.

For example, if you want to convert 250 mL to fluid ounces, you can use the conversion factor as follows:

250 mL × 0.033814 fl oz/mL = 8.4535 fl oz (rounded to four decimal places)

Learn more about unit conversion here: brainly.com/question/97386

#SPJ4

The answer for your problem is 192

If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

Learn more about tan(A - B) here:https://brainly.com/question/24305408

#SPJ1

Answer:

It would cost 3 dollars.

Answer:

3 dollars

Step-by-step explanation:

The given relation can be written as:

y = $5*x + $20

Notice that we have a constant term, thus it is not a proportional relation.

A general proportional relationship can be written as:

y = k*x

Where k is a constant of proportionality.

The given case is:

" A bike rental store charges $20 as a flat fee, plus $5 per hour."

We know that there is a flat fee of $20 plus $5 per hour, so we can write the equation:

y = $5*x + $20

Notice that we have a constant term, thus, it is not a proportional relation.

Learn more about proportional relations at:

https://brainly.com/question/12242745

#SPJ1

Answer: John costs him company $3000 in lost productivity

Step-by-step explanation:

hours lost- 50 times 3 = 150

money lost- 150 times 20 = 3000

BD bisect AC

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure,

FA is perpendicular to BC.

CFA is a right angle.

We see that BD bisects AC such that AD = CD.

Thus,

BD bisects AC

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ6

Answer: The answer is b 100+(-500)

Step-by-step explanation: If you solve for the original and this answer, they will both equal -400

Answer

 The answer is B.

Step-by-step explanation:

step 1: 100+(-500)=-400

Step 2: 100-500= -400

also because

A=600

C= 600

D= -600

So...

B is the logical choice

\(\\ \rm\rightarrowtail 362.5\)

\(\\ \rm\rightarrowtail 36.25\times 10\)

\(\\ \rm\rightarrowtail 3.625\times 10^2\)

Done!

3.625 × 10²

10²=100

3.625 × 100=362.5

Subtraction is not commutative.

What is commutative property?

The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result. For example, 4 + 5 gives 9, and 5 + 4 also gives 9. The order of two numbers being added does not affect the sum. The same concept applies to multiplication too. The commutative property does not hold for subtraction and division, as the end results are completely different after changing the order of numbers.

Commutative Property Formula:

If two numbers A and B are given, then the formula of commutative property of numbers is given as:

A + B = B + A

A × B = B × A

A - B ≠ B - A

A ÷ B ≠ B ÷ A

Now,

Subtraction is not commutative because changing the order of the numbers changes the answer.

e.g.

8-5=3

but 5-8=-3

which are not same.

To know more about Commutative property visit the link

https://brainly.com/question/778086?referrer=searchResults

#SPJ1

Answer:

look at attached image!

Step-by-step explanation:

Answer: f(x) = x^2 - 4*x

Step-by-step explanation:

This is a quadratic equation, that can be written in factorized form as:

f(x) = A*(x - a)*(x - b)

Where A is a real number, a and b are the roots of the equation.

In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:

a = 0

b = 4

So the equation is:

f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)

Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4

Then:

f(2) = A*2*(2 - 4) = -4

     = A*2*(-2) = -4

     = A*-4 = -4

         A = -4/-4 = 1

A = 1

Then the equation is:

f(x) = x*(x - 4) = x^2 - 4*x

Answer:

The answer is -285

Step-by-step explanation:

Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

Answer:

1) 12, 24, 75.36, 452. 16

2) 9, 18, 56.52, 254.34

3) 7.5, 15, 47.1, 176.63

4) 18.5, 37, 116.18, 1074.67

5) 10.5, 21, 65.94, 346.19

Step-by-step explanation:

Diameter is twice the radius

The circumference follows the formula: 2πr or πd

The area follows the formula: πr²

Answer:Variability

Step-by-step explanation:

The division problem which this area model represent is given by:

3600 ÷ 45 = 80 R 0.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

In Mathematics, a division operation that can be represented by the area and dimensions of a rectangle. For instance, making the length of a rectangle the subject of formula as follows:

L = A/W

Substituting the given parameters into the expression, we have;

L = 3600/45

L = 80 R 0.

In this context, we can infer and logically deduce that the division problem which this area model represent is given by:

3600 ÷ 45 = 80 R 0.

Read more on area of a rectangle here: https://brainly.com/question/27920057

#SPJ1

Complete Question:

Rectangle with left side labeled 45. Vertical lines divide the rectangle into three parts. The left part has 80 above it and 3600 inside it. The middle part has 7 above it and 315 inside it. The right part has 32 inside it and nothing above it.

Step-by-step explanation:

1:4=.25 or 25%

so 12/47=.25 or 25%

24/120=.2 or 20%

that ratio does not match the height ratio

Sarah's scale is reasonable.

A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.

The first step is to determine the how larger the paper is in terms of the painting.

48 / 12 = 4

120 / 24 = 5

This makes her scale of 1 in to 4 in reasonable.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Step-by-step explanation:

There are no exponents or division? as is, all of these are linear because there are no exponents, division by a variable, or square roots. did you miss something writing this? these are all changing at a constant rate.

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

Know more about integral here:

https://brainly.com/question/31059545

#SPJ11

The length of line segment RT is 8 units

The given triangles are similar triangles

So, we have the following similarity ratio

RS : RT = QC : QY

Substitute the known values in the above equation

4 : RT = 3 : 6

Express as fractions

RT/4 = 6/3

Multiply through by 4

RT = 4 * 6/3

Evaluate

RT = 8

Hence, the length of RT is 8 units

Read more about similar triangles at

https://brainly.com/question/14285697

#SPJ1

The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

Visit here to learn more about  angles : https://brainly.com/question/28451077
#SPJ11

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

For such more question on histograms

https://brainly.com/question/2962546

#SPJ8