Calculating a correlation can help describe a relation between two quantitative variables' ___ and ___ . However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of ___ can provide other helpful details such as __ _."

Both functions are equal to each other then the solution of the equation −6x+14=−2x+6 is 2.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Graph the functions f(x)=−6x+14 and g(x)=−2x+6 are on the same coordinate plane.

For the value of x, both the function are equal to each other so we have;

f(x) = g(x)

−6x+14=−2x+6

-4x = -8

x = 2

Thus, the value of x is 2.

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The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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Answer:

Step-by-step explanation:

wants to pour=64.98

have poured=38.5

how much more can he pour=

                                                64.98

                                               -38.50

                                               ______

                                                  26.48(ans)

For (x, y) → (3x, 3y)

The coordinates are:

A'(-3, 3), B'(0, 15), C'(3, 6), D'(3, -3)

For (x, y) → (y, x)

The coordinates are:

A'(1, -1), B'(5, 0), C'(2, 1), D'(-1, 1)

For (x, y) → (-x, -y)

The coordinates are:

A'(1, -1), B'(0, -5), C'(-1, -2), D'(-1, 1)

For (x, y) → (3x, 3y)

The coordinates are:

A'(-3, 3), B'(0, 15), C'(3, 6), D'(3, -3)

We replaced x by 3x and y by 3y

For (x, y) → (y, x)

The coordinates are:

A'(1, -1), B'(5, 0), C'(2, 1), D'(-1, 1)

We replaced x by y, and y by x

For (x, y) → (-x, -y)

The coordinates are:

A'(1, -1), B'(0, -5), C'(-1, -2), D'(-1, 1)

We replaced x by -x, and y by -y.

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

1) To get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side

2) The equations are not equivalent. They do not have the same solution

From the question, we are to determine how we can get equation B from equation A

From the given information,

A. 5x - 2 + x = x - 4

B. 5x + x = x - 4

From above, we can observe that to get equation B from equation A, we will add 2 to the left hand side of equation A

That is

5x - 2 + 2 + x = x + 4     →     5x + x = x + 4

Hence, to get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side

2) The equations are not equivalent. They do not have the same solution

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Answer:

Oop-

Step-by-step explanation:

-Que the Ali A intro-

The limit is

\(\displaystyle \lim_{x\to\infty} \frac{3x^{7/2} + 7x^{-1/2}}{x^2 - x^{1/2}} = \lim_{x\to\infty} \frac{3x^{3/2} + 7x^{-5/2}}{1 - x^{-3/2}} = \boxed{\infty}\)

since the degree of the numerator exceeds the degree of the denominator.

The costs are =

Paint set = $19.5

Brust = $3.25

Sketchbook = $13

Given that Pearl brought $38.75 to the art supply store.

The brush was 1/4 as much as the sketchbook, and the sketchbook cost 2/3 the cost of the paint set.

Pearl had $3.00 left over.

Let the paint set cost x,

Therefore,

x + 2x/3 + 2x/12 + 3 = 38.75

12x + 8x + 2x + 36 = 465

22x = 429

x = 19.5

Therefore the costs are =

Paint set = $19.5

Brust = $3.25

Sketchbook = $13

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The formula for the z-statistic is (x - μ) / (σm) or (x - μ) / (s/√n) depending on known or unknown population standard deviation.

The formula for the z-statistic, which is used in hypothesis testing for a sample mean when the population standard deviation is known, is:

z = (x - μ) / (σm)

where x is the sample mean, μ is the population mean, and σm is the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean.

Alternatively, we can use the estimated standard error of the mean (s/√n) when the population standard deviation is unknown, and the formula for the z-statistic becomes:

z = (x - μ) / (s/√n)

where s is the sample standard deviation and n is the sample size.

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Answer:

Divide 2.5 on both sides

Step-by-step explanation:

2.5x = 5.7

Divide both sides by 2.5. The inverse of multiplication is division. The x variable must be isolated on one side.

(2.5x)/2.5 = 5.7/2.5

x = 2.28

Answer:

division property of equality

Step-by-step explanation:

Which method should be used to solve for x?

2.5 x = 5.7

distributive property

addition property of equality

combining like terms

division property of equality

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

Step-by-step explanation:

# 12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12 is a median of a data

The mean number of ice chests in a section is 46.75.

The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..

To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.

Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51

Sum of ice chests = 374

Mean number of ice chests will be:

= (Sum of ice chests) / (Total number of sections sampled)

= 374 / 8

= 46.75

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Answer:

It us in the hundreds place . Hope that helps !

Answer:

999

Step-by-step explanation:

Line A: 376

Line C: 376 + 178

Bus: 69

Total: 376 + 376 + 178 + 69 = 999

Answer: 999

Answer:

a= 2/b-c

Step-by-step explanation:

We want isolate for a or to be itself

ab-ac=2

factor out a

a (b-c)=2

Now bring b-c to the other side

a (b-c)/(b-c)=2/b-c

The b-c cancel each other out

a= 2/(b-c)

Answer:

look it up that ushally helps

Step-by-step explanation:

Answer:

\(\frac{5}{6}\) of the shelves of prescriptions have been picked up.

Step-by-step explanation:

First, let's write out the problem they want us to solve.

\(\frac{3}{6} +\frac{2}{6}\)

Since the denominators are the same, we know our answer will have the same denominator, 6, and a numerator of whatever the two numerators, 3 and 2, totals.'

\(\frac{3}{6} +\frac{2}{6}=\frac{3+2}{6} =\frac{5}{6}\)

Since 5 can't go into 6, we know the fraction can't be simplified. So, \(\frac{5}{6}\) of the shelves of prescriptions have been picked up.

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Answer:

i think 125

Step-by-step explanation:

Answer:

-7/6, 12 is your focus

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.

-6 + x = -2                         <----- Original equation
+6         +6                        <----- Add 6 to both sides to isolate "x"

0 + x = 4                           <----- After the addition

x = 4                                 <----- Rewrite

Answer:

None of the above (x = 4) \( \sf {} \)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ -6 + x = -2

Then the value of x will be,

→ -6 + x = -2

→ x = -2 + 6

→ [ x = 4 ]

Hence, the value of x is 4.

Answer:

3:4???

Step-by-step explanation:

Answer:

3:4

3/4

Step-by-step explanation:

reciprocal

Answer:

Step-by-step explanation:

Intersecting lines make equal opposite angles

2x + y = 50 - y

     2x = 50 - 2y

       x = 25 - y

A straight line represents 180°

4x + 6y + 2x + y + 2x + 3y = 180

                            8x + 10y = 180

                  8(25 - y) + 10y = 180

                  200 - 8y + 10y = 180

                                     2y = -20

                                       y = -10

       x = 25 - (-10)

       x = 35

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

A

Step-by-step explanation:

please say thank you and rate 5 stars and verify

The amount of force it takes to push Jeff’s race car will be 1875 Newtons.

Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.

The formula of force will be

F = ma

Where m is the mass of the body and a is the acceleration of the body.

Then the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 meters per square second.

Then we have

F = 750 x 2.5

F = 1875 Newton

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If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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