The equation of the line of best fit representing the data
on a scatter plot is y = 3.2x + 25. Based on the line of
best fit, which prediction is most reasonable for the
difference in y-values when the x-values are 20 and 35?

A. 48
B. 73
C. 88
D. 33

By answering the above question, we may infer that The equation's answer is B) 60 ft.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

What is the distance between the bases on a softball field

A) 50 ft

B) 60 ft

C) 70 ft

D) 80 ft

The answer is B) 60 ft.

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Answer:  28/9  (choice D)

Explanation:

You don't need a calculator for this.

Each fraction involves 9 in the denominator. The numerators are the only thing that change. Let x be the numerator.

x/9 = 3.1 can be estimated to x/9 = 3 and that solves to x = 27

The numerator is around 27.

Choices A,B,C are ruled out since the numerators are smaller than 28. The only thing left is choice D.

You can use a calculator or long division to confirm that 28/9 = 3.1111... where the '1's go on forever.

The percentage of students with quiz scores between 72 and 90 points would be 81.5%.

Standard deviations is a statistical measure of the spread of data points around the mean in a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Standard deviations are used to measure the uncertainty of a statistic or the variability of a population or sample of observations.

This answer is correct because the data is being modeled using a normal distribution. This means that the quiz scores can be described as a bell-shaped curve, with the mean score of 78 points being the highest peak. The 68% of the data that lies within 1 standard deviation of the mean would be between 72 and 90 points, which is the range specified in the question, so the answer is 81.5%. This is because 68% of the data lies within 1 standard deviation of the mean and 13.5% of the data lies within the second standard deviation of the mean. The sum of these two figures (68% + 13.5%) is 81.5%. Therefore, the percentage of students with quiz scores between 72 and 90 points would be 81.5%.

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Answer: The answer is the letter B

Step-by-step explanation:

Mean is the overall average of numbers or books and range is the length from greatest to least

Answer:

Step-by-step explanation:

(x-4)^2-9=0

Let's assume a=x-4 and b=3

We know that,

[tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]

substituting values a, and b in above equation we get,

(x-4+3)(x-4-3)==

(x-1)(x-7)=0

x=1,7

Answer:

[tex]\displaystyle{x=7,1}[/tex]

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{\left(x-4\right)^2-9=0}[/tex]

Add 9 both sides:

[tex]\displaystyle{\left(x-4\right)^2-9+9=0+9}\\\\\displaystyle{\left(x-4\right)^2=9}[/tex]

Square root both sides:

[tex]\displaystyle{\sqrt{\left(x-4\right)^2}=\sqrt{9}}[/tex]

Cancel square root for left side and add plus-minus to right side:

[tex]\displaystyle{x-4=\pm \sqrt{9}}[/tex]

Evaluate the surd of 9:

[tex]\displaystyle{x-4=\pm 3}[/tex]

Add 4 both sides:

[tex]\displaystyle{x-4+4=\pm 3 +4}\\\\\displaystyle{x=\pm 3 +4}[/tex]

Two solutions can be either:

[tex]\displaystyle{x=3+4}[/tex] or [tex]\displaystyle{x = -3+4}[/tex]

Hence:

[tex]\displaystyle{x=7,1}[/tex]

Answer:

the last one

Step-by-step explanation:

it passes through the most points

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanatio

A. To complete the table, we need to plug in different values of "x" into the equation y = 2x + 66 and solve for "y". We can choose any values of "x", but it's usually helpful to choose values that are easy to calculate. Here's the table with "x" values ranging from 0 to 7:

x y

0 66

1 68

2 70

3 72

4 74

5 76

6 78

7 80

B. To graph the equation, we can plot the points from the table on a coordinate plane. We can use the x-axis to represent the number of hours after the storm enters the Gulf of Mexico (x), and the y-axis to represent the wind speed in miles per hour (y). The points should fall on a straight line with a slope of 2 and a y-intercept of 66. We can plot the points and draw the line as follows:

C. The wind speed of a tropical storm becomes a hurricane when it reaches or exceeds 74 miles per hour. Looking at the graph, we can see that the wind speed reaches 74 miles per hour when x = 4. Therefore, the storm becomes a hurricane 4 hours after entering the Gulf of Mexico.

The likelihood that someone with symptoms and a positive test has hepatitis is therefore 0.994, or almost 99.4%.

We need to apply Bayes' theorem to determine the likelihood that a person with symptoms and a positive test actually has hepatitis. Let H stand for the occurrence that the person has hepatitis and T stand for the occurrence that the test is positive. Next, we have:

P(T | H) * P(H) / P(T | H) = P(H | T) (T)

where P(H) is the prior probability of the individual having hepatitis (which is 0.8), P(H) is the likelihood of the individual testing positive, and P(T) is the probability of testing positive given that the individual has hepatitis.

We must apply the law of total probability to determine P(T):

P(T) is equal to P(T | H)* P(H) plus P(T | not H)* P. (not H)

P(T | not H) is the complement of P(H), and P(not H) is the probability of testing positive if the person does not have hepatitis (0.05). (i.e., the probability of not having hepatitis, which is 0.2).

Now that the values have been inputted, we can calculate:

P(T) = (0.94 * 0.8) + (0.05 * 0.2) = 0.752 P(H | T) = (0.94 * 0.8) / 0.752 = 0.994

Although there is a strong likelihood that this is the case, it's crucial to remember that no medical test is error-free, and false positives and false negatives can still happen.

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The integer number that represents a temperature of 7 ºF below zero is given as follows:

-7 ºF.

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

For temperatures, we have that:

Hence the integer number that represents a temperature of 7 ºF below zero is given as follows:

-7 ºF.

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Sequence having rule  f(n) = n² - 5, the first four terms will be -4, -1, 4, and 11.

A sequence in mathematics is a group of integers that adhere to a specific pattern or rule. A sequence of numbers might be infinite or finite, and they are arranged in a certain order.

Every number in the sequence is referred to as a term, and its location within the sequence is referred to as its index. As an illustration, the first term in the series 1, 3, 5, 7, 9, is 1, the second term is 3, the third term is 5, and so on.

Now,

The explicit rule for the sequence is given by f(n) = n² - 5, which means that to find the nth term of the sequence, we need to plug in the value of n into this formula.

To find the first four terms of the sequence, we can simply substitute n = 1, 2, 3, and 4, respectively, into the formula and evaluate the expression.

The first term is f(1) = 1² - 5 = -4.

The second term is f(2) = 2² - 5 = -1.

The third term is f(3) = 3² - 5 = 4.

The fourth term is f(4) = 4² - 5 = 11.

Therefore,

                 the first four terms of the sequence defined by the explicit rule f(n) = n² - 5 are -4, -1, 4, and 11.

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The coordinate point for the centroid are (8/3, 1/3).

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

Coordinates = (1,2), (2, 1) and (5, -2)

To find the centroid of a triangle, you can calculate the average of the x-coordinates and the average of the y-coordinates of its three vertices.

Let (x1, y1), (x2, y2), and (x3, y3) be the coordinates of the vertices of a triangle.

Then, the coordinates of the centroid (xc, yc) are given by:

xc = (x1 + x2 + x3) / 3

yc = (y1 + y2 + y3) / 3

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

xc = (1 + 2 + 5) / 3 = 8/3

yc = (2 + 1 - 2) / 3 = 1/3

Hence, the coordinates of the centroid are (8/3, 1/3).

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According to the information we can infer that sentence is completed with the words mathematical procedure.

To complete the sentence we must identify the central idea and establish the right words to complete it. In this case, it is referring to a mathematical procedure then we could infer that these are the words that complete the sentence. Then the complete sentence would be like this:

Note: This question is incomplete. Here is the complete information:

Complementary information:

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We can simplify this expression by multiplying the cube roots together:

³√5 × ³√5 × ³√5 = ³√(5 × 5 × 5)

Simplifying the product inside the cube root, we get:

³√(125)

Therefore, the cube root of 5 × 5 × 5 is equal to:

³√5׳√5׳√5 = ³√125 = 5

The solution to the inequalities, y < 6 and y > x + 3 is the common intersecting region.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, y < 6.

Now, To determine wether it inclues the origin or not we'll set, y = 0.

So, 0 < 6 is true so y < 6 includes the origin.

Now, y > x + 3.

0 > 0 + 4 is not true therefore, y > x + 3 doest not inclue the origin.

The solution to these now can be determine by the common intersecting region.

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The solution of the given equation -4(n+5)=-32 is n=3.

What is equations ?

An equation is a mathematical statement that shows that two expressions are equal. It contains an equals sign (=) between two expressions. The expressions on both sides of the equals sign have the same value. Equations are used to solve problems in mathematics and science.

To solve the equation, we need to isolate the variable n.

-4(n+5) = -32

Distribute -4 on the left side of the equation:

-4n - 20 = -32

Add 20 to both sides of the equation:

-4n = -12

Divide both sides by -4:

n = 3

Therefore, the solution of the given equation -4(n+5)=-32 is n=3.

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Answer:

3×1×1.

Step-by-step explanation:

The restaurant gives us an Italian bread, a whole wheat role and a wrap:

Counted together that's 3.

Then they let us choose one type of meat:

Counted that's only 1.

Finally, they let us choose one type of cheese:

Counted that's also 1.

Together that makes 3×1×1.

Dennis must work for at least 10.81 hours to earn at least $100.

What is inequality in mathematics?

An inequality in mathematics is a statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, x < 5 is an inequality that says that the value of x is less than 5. Another example is y ≥ 2x + 3, which is an inequality that says that the value of y is greater than or equal to 2 times x plus 3.

Inequalities are often used to describe ranges of values, such as the set of all numbers that are less than or equal to 5 (written as x ≤ 5) or the set of all numbers that are greater than 2 and less than 7 (written as 2 < x < 7). Inequalities can be solved, graphed on a number line, and used to make comparisons between values or expressions.

Let's start by writing an expression for the total amount of money Dennis earns in x hours:

Total earnings = 1.75x + 7.5x

Simplifying this expression, we get:

Total earnings = 9.25x

Now, we want to find the inequality that represents the number of hours Dennis must work to earn at least $100. We can set up the inequality as follows:

9.25x ≥ 100

This inequality states that Dennis must earn at least $100, which is represented by the value on the right-hand side of the inequality. The left-hand side of the inequality represents Dennis's earnings, which we found to be 9.25x. Since we want to find the minimum number of hours Dennis must work to earn at least $100, we need to solve for x:

9.25x ≥ 100

x ≥ 100/9.25

Simplifying the right-hand side of the inequality, we get:

x ≥ 10.81

Therefore, the inequality that represents the number of hours Dennis must work to earn at least $100 is:

x ≥ 10.81

This means that Dennis must work for at least 10.81 hours to earn at least $100.

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The distance between the two other landmarks on the same map is approximately 23 inches.

What is a scale factor?

A scale factor is a measure of the proportional relationship between two similar figures. It is the ratio of any two corresponding lengths in the two figures.

We can set up a proportion to solve this problem:

Distance on map / Actual distance = Scale factor

Let x be the distance between the two other landmarks on the map. We can set up the following proportion:

2 feet 5 inches / 65 miles = x / 52 miles

To solve for x, we first convert 2 feet 5 inches to inches:

2 feet = 24 inches

5 inches = 5 inches

2 feet 5 inches = 24 inches + 5 inches = 29 inches

Substituting the values into the proportion, we get:

29 inches / 65 miles = x / 52 miles

To solve for x, we cross-multiply:

29 inches × 52 miles = 65 miles × x

Simplifying, we get:

x = 29 inches × 52 miles / 65 miles

x = 23.2 inches

Rounding to the nearest inch, we get x ≈ 23 inches.

Therefore, the distance between the two other landmarks on the same map is approximately 23 inches.

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Answer:

Step-by-step explanation:

46+13 = 59

Answer:

Let Mackenzie have x

and Taylor have y

Then, since Mackenzie has 46.13 less than Taylor,

x = y - 46.13

Therefore, to show how much money Mackenzie has we will use the equation

x = y - 46.13

remember Makenzie has $x.

Taylor has $y

Makenzie money is less than Taylor's money by 46.13

so we take away 46.13 from Taylor's money to get that of Makenzie

Makenzie's money x = Taylor's money y - 46.13

x = y - 46.13

Step-by-step explanation:

The graph of the triangle is on the image at the end.

Remember that the area of a triangle of base B and height H is:

A = B*H/2.

Here we want to have an area of 21, then we can use:

B = 6

H = 7

Then:

A = 6*7/2

A = 3*7 = 21

So we must have a base of 6 units and a height of 7 units, then the vertices that we can have are:

(-3, 0), (3, 0), (-3, 7)

So we will have a right triangle such that the vertices are on the first and second quadrant, the graph of the vertices is below.

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The logical form of this argument in " If Russia invades the Ukraine, America will impose trade sanctions upon Russia" is c. Hypothetical Syllogism.

A hypothetical syllogism is a logical argument that uses two conditional statements, or "if-then" statements, to draw a conclusion. The general form of a hypothetical syllogism is:

If A is true, then B is true.

If B is true, then C is true.

Therefore, if A is true, then C is true.

Here's an example of a hypothetical syllogism:

If it rains, then the ground is wet.

If the ground is wet, then the grass is slippery.

Therefore, if it rains, then the grass is slippery.

Therefore, option C is correct.

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Answer:

Step-by-step explanation:

The Pythagorean Theorem states that: a^2+b^2=c^2.

Therefore 6^2+8^2= c^2

36+64= 100^2

Then square root that. The square root of 100 is 10.

The length of XY is 6. The length of XZ is 10. The difference is 4 units

Hi

im pretty sure 88m2 is the answer

here is the workong out

hope it helps

good luck:)

Answer:

112m squared

Step-by-step explanation:

1/2 * b * h is the formula for a triangles so 1/2 * 6 * 8 is 24 * 2 because the other triangle is symmetrical and the formula for a square is b * h so 8 * 8 is 64 and adding 24 + 24 + 64 = 112 m squared

Note that where the conditions above subsist the height determined by the other colleague is not the same so the answer is No. To solve this problem, you need to be conversant with the Pythagorean Theorem, and Angle Bisector Theorems.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The formula for the Pythagorean Theorem is:

c² = a² + b²

where "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides (the legs) of a right triangle.

With this, we can find the c for the lower Right angle triangle on the left and B for the lower right angle triangle on the right.

Since C² = A² + B²

B = √( A²- C²)

B = √( 9.5²- 6²)

B [tex]\approx[/tex] 7.36546


To determine c on the right angle to the left,

c² = a² + b²

c = √(a² + b²)

c = √(5.5² + 7.2²)

c = 9.060353194

c [tex]\approx[/tex] 9.06

With the postulate of the Angle Bisector Theorem, we can begin to find the height of the two upper right angle triangles.

The Angle Bisector Theorem states that in a triangle, an angle bisector of a vertex of the triangle divides the opposite side into two segments that are proportional to the lengths of the other two sides.

In other words, if a line segment bisects an angle of a triangle and intersects the opposite side or the extension of the opposite side, then the ratio of the lengths of the segments on the opposite side is equal to the ratio of the lengths of the other two sides of the triangle.

As seen from the image, the right angles where each lady is holding is bisected. This means that we have for each Triangle Two angles and one side.

Right Angle on the Left:

90°

45°; and

7.2ft

Given the above, Since the angle opposite the height is 45 degrees, we know that the ratio of the height to the base is 1:1, or h/7.2 = 1/1.

Therefore, the height of the right triangle is:

h = 7.2 × 1

h = 7.2 ft

So the height of the right triangle is 7.2 feet.

Right Angle on the Right :

90°

45°; and

7.36546ft

Given the above, we can use the trigonometric ratios of the angles in the right triangle.

Since the angle opposite the height is 45 degrees, we know that the ratio of the height to the base is 1:1, or h/7.36546 = 1/1.

Therefore, the height of the right triangle is:

h = 7.36546 × 1

h = 7.36546 ft

So the height of the right triangle is 7.36546 feet.

So both heights approximated to the nearest tenth:

Since 7.2 ≠ 7.4, the heights are not equal.

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The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.

Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

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Assuming the trend continues, the next 12 animals will include 4 sheep.

Number is a mathematical concept that represents a quantity or amount. It is usually used to identify a specific value or set of values that can be used for calculation and measurement. Numbers are used in many different fields, including mathematics, science, engineering, and economics. They help us to keep track of quantity and count objects, measure distances and time, and even help to solve problems. Numbers are an essential part of our everyday lives and are essential for understanding the world around us.

This is calculated by taking 2 sheep from the initial group of 8 animals and then multiplying that number by the additional 12 animals for a total of 4 sheep.

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Answer:

Yes, -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent expressions. When simplified, both expressions can be written as -5m+4. This can be verified by substituting different values for m in both expressions and then simplifying the expressions. By doing so, the same result of -5m+4 will be obtained for both expressions indicating that they are equivalent

Step-by-step explanation:

Answer: -2and^2*(2m-1)^2

Step-by-step explanation: Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "d2"   was replaced by   "d^2".

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

     1

 ((((—•(12m-6))•a)•n)•d2)•(1-2m)

     3

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  12m - 6  =   6 • (2m - 1)

Equation at the end of step

3

:

 (((2•(2m-1)•a)•n)•d2)•(1-2m)

STEP

4

:

Equation at the end of step 4

 ((2a • (2m - 1) • n) • d2) • (1 - 2m)

STEP

5

:

Equation at the end of step 5

 (2an • (2m - 1) • d2) • (1 - 2m)

STEP

6

:

Equation at the end of step 6

 2and2 • (2m - 1) • (1 - 2m)

STEP

7

:

7.1    Rewrite   (1-2m)    as  (-1) •  (2m-1)

Multiplying Exponential Expressions:

7.2    Multiply  (2m-1)  by  (2m-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2m-1)  and the exponents are :

         1 , as  (2m-1)  is the same number as  (2m-1)1

and   1 , as  (2m-1)  is the same number as  (2m-1)1

The product is therefore,  (2m-1)(1+1) = (2m-1)2

Final result :

 -2and2 • (2m - 1)2