answer please will give 20 points

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.

Hence, the correlation coefficient is [tex]-0.9[/tex], i.e., [tex]x[/tex] and [tex]y[/tex] have a strong, negative correlation

What is a correlation coefficient?

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.

The variables may be two columns of a given data set of observations, often called a sample or two components of a multivariate random variable with a known distribution.

As we know that the correlation coefficient is a measure of the strength of the straight line or linear relationship between two variables. Correlation coefficients are expressed as values between [tex]+1[/tex] and [tex]-1[/tex].

So,

[tex](1,8),(2,3),(3,0),(4,1),(5,2),(6,1)[/tex]

As per the Excel tools i.e., CORREL function the correlation coefficient is [tex]-0.9[/tex].

Hence, the correlation coefficient is [tex]-0.9[/tex], i.e., [tex]x[/tex] and [tex]y[/tex] has a strong, negative correlation.

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Answer:

0.538 as a fraction in its simplest form is 269/500

Step-by-step explanation:

We all know that 0.538 can be written as 0.538/1

Multiply the numerator and denominator by 1000 which comes out to 538/1000

Divide the numerator and denominator by 2 which comes out to 269/500

Since 269 is a prime number 269/500 is 0.538 in its simplest form

Answer:

Step-by-step explanation:

-22.7

Answer:

He has to sell 5000 to earn $1000

Step-by-step explanation:

1000/0.2 = 5000

Answer:

(8, 9 000)

Step-by-step explanation:

The solution of x ≤ 3 depicts that all the value of x is either less than 3 or equal to 3, so option C is correct.

In mathematics, numbers are shown visually as a straight line on a number line. The numerals on a number line are positioned in a specific order and spaced out equally throughout its length. Since it can go on forever in any direction, it is frequently presented horizontally.

The expression x ≤ 3 depicts that the value of x is less than 3 or equal to 3, this can be represented in the image attached below.

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The area of the largest rectangle is 25 square units.

It is given that the radius of the semicircle is [tex]4[/tex].

It is required to inscribe a rectangle of maximum area.

Consider a rectangle of sides [tex]x[/tex], [tex]y[/tex] as shown in the given figure.

From the attached figure,[tex]AB=x[/tex], [tex]OB=r[/tex] and [tex]OB=\frac{y}{2}[/tex].

Now, in the triangle OAB, apply Pythagoras' theorem as,

[tex](OA)^{2}=(OB)^{2}+(AB)^2[/tex]

[tex]r^2=(\frac{y}{2} )^2+x^2\\\\[/tex]

[tex]16=\frac{y}{4}+x^2[/tex]

[tex]y^2=4(16-x^2)[/tex]

[tex]y=2\sqrt{16-x^2}[/tex]

So, the area of the rectangle will be,

Area,

[tex]A = 2x \times y[/tex]

= [tex]2x \times \sqrt{(16 - x^2)}[/tex]

Differentiate the area with respect to ,

[tex]A' = 2 \times \sqrt{(16 - x^2)} - 2x^2/(16 - x^2)[/tex]

Differentiate the area twice as,

When[tex]x = 0, y = 5[/tex] and when [tex]x = 5, y = 0[/tex], [tex]area = 0[/tex].

It implies that area is maximum when the value of x lies between 0 and 5.

This will occur where [tex]A'= 0[/tex].

⇒ [tex]2 \times \sqrt{(16 - x2) }- 2x^2/(16 - x^2) = 0[/tex]

⇒[tex]2 \times \sqrt{(16 - x^2)} = 2x^2/(16 - x^2)[/tex]

On simplification, we get,

⇒ [tex]2 \times (16 - x^2) = 2x^2[/tex]

⇒ [tex]16 - x^2 = x^2[/tex]

⇒ [tex]2x^2= 16[/tex]

⇒ [tex]x^2 = 16/2[/tex]

⇒ [tex]x = \sqrt{8}[/tex]

Now, [tex]y = \sqrt{(16 - x^2)}[/tex] becomes

⇒[tex]y = \sqrt{(16 - (\sqrt8)^2)}[/tex]

⇒ [tex]y = \sqrt{(16 - 8)}[/tex]

[tex]y =\sqrt{8}[/tex]

Maximum area = 2xy

[tex]=2(\sqrt{8)}(\sqrt{8})[/tex]

[tex]=16[/tex]

Therefore, the area of the largest rectangle is 16 square units.

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The number of dime and the number of quarters that Aiden have are 10 and 8 respectively.

Aiden ha $3 worth of dime and quarter. Aiden has 2 more dime than quarter. The number of dime and the number of quarter that Aiden has can be calculated as follows:

let

x =  number of quarter

y = number of dime

Therefore,

y = 2 + x

y - x = 2

0.1y + 0.25x = 3

Multiply equation(ii) by 10

y - x = 2

y + 2.5x = 30

subtract equation(i) from equation(ii)

3.5x = 28

x = 28 / 3.5

x = 8

Hence,

y = 2 + 8

y = 10

Therefore,

number of dime  = 10

number of quarters = 8

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a) These ramp dimensions do not meet the ADA guidelines.

b) A measurement that would meet the guidelines is the ramp starting 39 feet away, with a height of 3 meters.

The slope of a situation is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

For the ramp in this problem, we have that the vertical change and the horizontal change are given as follows:

The ratio between the vertical change to the horizontal change is of:

3/15 = 1/5.

Which is greater than 1/12, hence the ramp does not meet the ADA guidelines.

If the horizontal change was 13 times the vertical change, it would meet the ratio, hence a possible measurement is of:

As the ratio would be of:

3/39 = 1/13 < 1/12.

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If Helen wants to find the value. the upper bound for Helen's value of TC is 3.123 and lower bound is 3.092.

Upper bound

405 = 405.999

130 =130.99

Lower bound

405 = 405.001

130 =130.01

Now let find the upper and lower bound

Upper bound = 405.999/130.01

Upper bound =3.123

Lower bound = 405.001 /130.99

Lower bound = 3.092

Therefore the upper bound is 3.123.

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Answer: What do you need the total or the equation? I am going to write the equation.

Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4

The sampling method used in this scenario is random Systematic random sampling

Systematic random sampling

Systematic sampling is a form of probability sampling technique in which sample members are chosen from a wider population using a defined, periodic interval but a random beginning point. By dividing the population size by the desired sample size, this interval, also known as the sampling interval, is computed.

If the periodic interval is predetermined and the starting point is random, systematic sampling is still regarded as random even though the sample population has been chosen in advance.

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The output value of g( -3 ) in the function g( a ) = 3a + 2 is -7.

A function is simply a relationship that maps one input to one output. For relation to qualify as a function,  each x-value can only have one y-value.

Given the data in the question;

To determine the output value of g( -3 ), replace all the occurrence of 'a' with -3 in the function and simplify.

g( a ) = 3a + 2

g( -3 ) = 3( -3 ) + 2

Multiply 3 and -3

g( -3 ) = -9 + 2

Add -9 and 2

g( -3 ) = -7

Therefore, the output value is -7, this forms an ordered pair of (-3,-7).

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The cost of the gas will be equal to £67.81 p.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that,

Initial gas reading = 8247

Final gas reading = 8631

The total consumed gas is given by,

Final gas reading - Initial gas reading  → 8631 - 8247 = 384

Since the cost of gas is 11p per unit we have, the total cost of the gas consumed is given by

Cost of consumed gas = Units of gas consumed × Unit cost of gas

= 384 × 11p = 4224 p

100 p ≡ £ 1

4224 p  = £42.24 p

The total cost of the gs is obtained by adding the fixed charge to the cost of gas consumed as follows,

£25.57 + £42.24 = £67.81 p

The cost of the gas = £67.81 p

The complete question is given below,

The gas meter readings at the beginning and end of a period were: 8247 = 8631 the cost of the gas is 11p for each unit. there is also a fixed charge of £25.57. calculate the cost of the gas. you must show your working

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Answer: [tex]\frac{17}{7}[/tex]

Step-by-step explanation:

7x - 3y = 23
3y = -2 × 3 = -6

7x + 6 = 23

7x = 23 - 6

7x = 17

x = [tex]\frac{17}{7}[/tex]

The distance between two cyclists after 45 minutes as described in the task content is; 7 + 0.75 (12) + 0.75 (b + 12) miles.

It follows from the task content that the distance between the two cyclists after 45 minutes is to be determined from the given parameters.

Given; the speed of the first cyclist is; 12 miles per hour, while the speed of the second cyclist is b miles per hour greater than that of the first.

The speed of the second cyclist is therefore; (b + 12).

On this note, since the distance covered by each cyclist is given by;

Distance = Speed × Time where, Time = 45 minutes = 0.75 hours.

Therefore, the total distance between the two cyclists can be determined from the expression as follows;

7 + 0.75 (12) + 0.75 (b + 12).

Therefore, the distance between the two cyclists as required in the task content is; 7 + 0.75 (12) + 0.75 (b + 12) miles.

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Answer:

Decagon

Step-by-step explanation:

Because it has 10 sides.

Answer:

Its a Decagon

Step-by-step explanation:

Answer:

0.86 pounds of fruit is left.

Step-by-step explanation:

If Stacey bought 8.3 pounds and the class ate 7.44 pounds, the amount of fruit that's left is 8.3-7.44=0.86      

Applying the definition of linear pair angles, the measures are:

y = 10

m∠JKM = 106°

m∠MKL = 74°

A linear pair involves two angles that lie adjacent to each other on a straight line. The sum of their measures is equal to 180 degrees, this is because linear pair angles are supplementary to each other.

Given the following:

Measure of angle JKM = (10y + 6)°

Measure of angle MKL = (8y - 6)°

Therefore:

m∠JKM + m∠MKL = 180 [linear pair angles are supplementary]

Substitute

10y + 6 + 8y - 6 = 180

Combine like terms

18y = 180

18y/18 = 180/18

y = 10

Plug in the value of y to find the measures:

Measure of angle JKM = (10y + 6)° = 10(10) + 6 = 106°

Measure of angle MKL = (8y - 6)° = 8(10) - 6 = 74°

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Answer:

c) x+4

Step-by-step explanation:

1. The original expression can be re-written as (I just rewrote each fraction so that there are no mixed numbers):

[tex]\frac{x}{2}+\frac{9}{2}+\frac{x}{2}-\frac{1}{2}[/tex]

2. Next, you want to group all the terms with the variable x, and all the terms without a variable. All the fractions should be rearranged:

[tex]\frac{x}{2}+\frac{x}{2}+\frac{9}{2}-\frac{1}{2}[/tex]

3. You can now simplify and add the variable terms and the non-variable terms.

[tex]\frac{x+x}{2}+\frac{9-1}{2}[/tex]

Simplify further:

[tex]\frac{2x}{2}+\frac{8}{2}[/tex]

[tex]x+4[/tex]

So your answer is choice c

Using the angle of elevation formula, the distance between John and Fred from the building is 1.2m and 1.67m.

So, the distance of the building from John and Fred is:

Now, we get the formula:

Calculate as follows:

John's distance:

Fred's distance:

Therefore, using the angle of elevation formula, the distance between John and Fred from the building is 1.2m and 1.67m.

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17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

A percentage is a number or ratio expressed as a fraction of 100.

Given that, there are 14 litres of a solution which is 90% acidic,

Let water added be x, then according to question,

0.90*14 = 0.40(x+14)

12.6 = 0.40x + 5.6

0.40x = 7

x = 17.5

Hence, 17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

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Answer:123

Step-by-step explanation:

7328x3424

Steven battling average for the whole season he played was 0.45

An equation is an expression showing the relationship between two or more numbers and variables.

Steven hit the ball 12 times out of 26 at bats in the first half of the season and 6 times out of 14 at bats in the second half of the season.

Hence:

Batting average = (total number of time he hit the ball in both season half) / (total number of balls thrown)

Therefore:

Battling average = (12 + 6)/ (26 + 14) = 18 / 40 = 0.45

Steven battling average was 0.45

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The answer is 4/15

2/5 * 2/3 = 2 · 2/5 · 3 = 4/15

Multiply the numerators and denominators together. Keep the result fraction to the smallest possible denominator GCD(4, 15) = 1. It cannot further simplify the fraction result by canceling in the following intermediate step.

In other words, two fifths times two thirds equals four fifteenths.

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Answer:

5/3

Step-by-step explanation:

"of" means times so so so often. It is not a hard math rule/definition. But more like a soft English-Math translation.

So, "2/5 of what"

means 2/5x (but make sure the 2/5 is a fraction beside the x, NOT the x on the bottom with the 5)

"is" means equals.

2/5x = 2/3

Multiply both sides by 5/2.

5/2 • 2/5x = 2/3•5/2

x = 2/3 • 5/2

x = 5/3

You get 5/3 either by "cancelling" the 2's OR by

fraction multiplication where you times top×top and bottom×bottom and simplify.

x = 10/6

x = 5/3

2/5 of 5/3 is 2/3.

The "what" in the question is 5/3.

Using percentages we calculate in the beginning there were 125 jellybeans in the jar.

Let the number of jellybeans in the jar was x.

Now student ate 20% of the jellybeans.

Number of jellybeans students ate = 20% of x = 0.2x

Number of jellybeans left = x - 0.2x = 0.8x

But the number of jellybeans is given as 100.

Therefore 0.8x = 100

or, x = 100 /0.8 = 125

Hence there were 125 jellybeans in the jar.

The English word "percentage" derives from the Latin phrase "per centum," which means "by the hundred." Percentages are fractions with a denominator of 100.

In other words, that is a relationship where it is always assumed that the value of the whole is 100.

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