In a survey of 2000 people who owned a certain type of​ car, 1300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

the Pearson product moment correlation measures the linear relationship between two interval- and/or ratio-scaled variables (scale variables) such as those depicted conceptually by scatter diagrams: True.

A measure of the degree and direction of relationship between two variables assessed on at least an interval scale is the Pearson product-moment correlation coefficient, or Pearson's correlation.

If you want to determine whether there is a linear relationship between two quantitative variables, you may use Pearson's correlation. The expectation of a linear relationship between those variables is the sole part of the study hypothesis.

This approach finds the precise amount or degree of correlation between any two variables and tells if there is or is not any correlation between them.

Thus, the given statement is true.

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The area of the semicircle table after it is cut in half  [tex]=\frac{9}{2}\pi[/tex] square units.

A semicircle is a 2 -D shape which is obtained by cutting a circle along with its diameter. a circle has 2 semicircles when it is cut along with its diameter.

The formula for finding the area of a semicircle is half of the area of a circle with the same radius.

area of semicircle = [tex]\frac{\pi r^{2} }{2}[/tex] square units

Given:

A table with a round top is cut in half so now its shape is a semicircle.

After it is cut, the edge along the wall is 6 ft means that the diameter of the semicircle is = 6 ft

Diameter = 6 ft

Radius = diameter / 2

Radius = 6/ 2

Radius = 3 ft

Therefore now we can calculate the area of the table after it is cut in half

Area of the semicircle table after it is cut in half =

[tex]=\frac{\pi r^{2} }{2} \\=\frac{\pi 3^{2} }{2} \\=\frac{9\pi }{2}\\= \frac{9}{2}\pi[/tex]

The area of the semicircle table after it is cut in half  [tex]=\frac{9}{2}\pi[/tex] square units.

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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half? Give your answer in terms of pi.

The least common factor of 3 and 5 was chosen as the first step in order to combine the fractions 2/3 + 4/5, leading to option (A) Finding the least common denominator.

The smallest multiple that any two numbers have in common is called the lowest common multiple.

It implies that we can divide both numbers by that and that this is the lowest number by which both numbers may be divided.

The LCM of 2 and 8 is 8, for instance.

So, using the two fractions provided:

2/3 + 4/5

15 is the least frequent factor between 3:

(10 + 12)/15

Thus, we used LCM in the first phase.

Therefore, the least common factor of 3 and 5 was chosen as the first step in order to combine the fractions 2/3 + 4/5, leading to option (A) Finding the least common denominator.

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Complete question:
When adding 2/3 + 4/5, what step must be completed first?

A)Finding the least common denominator.

B)Reducing the fractions.

C)Adding the numerators, but keeping the denominators.

D)Adding the denominators, but keeping the numerators.

The required bearing angle of town B from Thomas is 65°.

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 125° clockwise, then he faces towards town B,

The bearing angle will be 300+125 = 425°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 425 - 360 = 65

The bearing angle of town B from Thomas is 65°.

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The way Jason's position relative to the leader changed per minute is; 6²/₅ ft/minute

We are told that Jason's position was 11 ¹/₅ feet relative to the leader after 1 ³/₄minutes.

Now, the fractions are in mixed fraction form and so let us convert them to improper fractions to get;

⁵⁶/₅ and ⁷/₄

Thus, the way Jason's position relative to the leader changed per minute is; ⁵⁶/₅ ÷ ⁷/₄

= ⁵⁶/₅ * ⁴/₇

= 32/5

= 6²/₅ ft/minute

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Answer:

Below

Step-by-step explanation:

a^2 + b^2 = c^2       subtract  a^2 from both sides

b^2 =  c^2 - a^2    

   take the positive sqrt of both sides ( since you can't have a negative length)

b = sqrt (c^2 - a^2)    

The interest charged for 3 years would be $75 ($500 x 0.05 x 3). The total amount Ariane has to pay back would be $575 ($500 + $75).

Simple interest is calculated based on the principal of a loan or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

To calculate simple interest, multiply the principal sum by the time period, interest rate, and time period. Simple interest is calculated as follows: "Simple Interest = Principal x Interest Rate x Time." This equation provides the simplest method for calculating interest.

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Answer: As Devansh Sehta has calculated, there are 82 terms and  82=7×11+5.  When each term of  S  is divided by 7, the remainders, in order are 6, 3, 0, 4, 1, 5, 2, and these repeat.

Step-by-step explanation:

For any arithmetic sequence, record the remainders when successive terms are divided by n. Then the sum of every set of n consecutive remainders is divisible by 7. In this case, the first 77 terms add to a multiple of 7 as do the 5 remaining terms.

Answer:

The slope is -6

Step-by-step explanation:

12x+2y=24

We want to find the slope of a line that is parallel to this line.

Parallel lines have the same slope, so we need to find the slope of this line.

We can get this equation in slope intercept form to find the slope

y = mx+b  where m is the slope

Subtract 12x from each side

2y = -12x+24

Divide each side by 2

y = -12x/2 +24/2

y = -6x+12

The slope is -6

The required solution of the given expression is 1/3 [m²-2m-6].

Given that,
To simplify the [2m⁵ -5m₄ +2m² -8m²]/[m²+1], when  m² + 1 = 3m.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= [2m⁵ -5m₄ +2m² -8m²]/[m²+1]
When substituting the value m² + 1 = 3m in the above expression we get.
= m/3 [m²-2m-6]

Thus, the required solution of the given expression is 1/3 [m²-2m-6].

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Answer:

m=-6

Step-by-step explanation:

use slope formula to solve

m= rise/run=y2-y1/x2-x1

On average, it is going to take DJ 7.27 hours to get to the beach.

Average refers to the quotient when a numerator is divided by a denominator.

In this situation, the average refers to the time, which is the quotient of the distance and speed.

The total distance going to the beach from his family = 800 km

The average speed = 110 km/hr

The time to cover the distance of 800 km at 110 km/hr = 7.27 hours (800/110).

Thus, DJ will take 7.27 hours to cover 800 km at 110 km/hr.

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The amount of fruit juice(orange, grape, cherry) used in the punch is 14 cups. So, option D is correct.

A mixed fraction is one that is represented by both its remainder and quotient. Two is the quotient and one is the remainder in the mixed fraction 2/3, for instance.

You can write mixed numbers with or without the word "and," for example, 5 and 3/4 . The mixed number must have a valid fraction as its fractional component. A correct fraction, such as 37, has a numerator that is less than the denominator.

Given,

The amount of orange juice= 3 [tex]\frac{1}{3}[/tex] cups

The amount of grape juice=6 [tex]\frac{1}{2}[/tex] cups

The amount of cherry juice= 4 [tex]\frac{1}{8}[/tex] cups

The amount of club soda=1 [tex]\frac{1}{4}[/tex] cups

So, 3 [tex]\frac{1}{3}[/tex]+6 [tex]\frac{1}{2}[/tex] + 4 [tex]\frac{1}{8}[/tex]

=(10/3)+(13/2)+(33/8)

=(10/3)+(13/2)+(33/8)

=(80+156+99)/24

=335/24

=13.95

≈14 cups approximately

Therefore, the amount of fruit juice(orange, grape, cherry) used in the punch is 14 cups.

So, option D is correct.

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Answer:

[tex]y=\frac{1}{2} x-2[/tex]

The fracion 12k⁸/4(k⁵)² expressed in its simplest form is the expression 3/k².

To simplify fraction, we need to factorise the denominator and numerator, and then look for common factors in the numerator and denominator and cancel.

Given the fraction;

12k⁸/4(k⁵)² = 3 × 4 × k⁸/k² × 4 × k⁸ {expressed to get a common factor}

12k⁸/4(k⁵)² = 3 × 4k⁸/k² × 4k⁸

4k⁸ is a common factor to the numerator and denominator, so we cancel it out

12k⁸/4(k⁵)² = 3/k²

Therefore, the simplest form of the fracion 12k⁸/4(k⁵)² is derived as the expression 3/k.

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The inequality shown by the graph in the question, found by finding the equation for the line of the inequality and taking note of the dashed line and the shaded region, is; y > 2·x - 4

An equality is a comparison between two expressions that have different values,  by joining them with the use of symbols including '<', '≤', '≥', '>', '≠'

Two points on the graph that can be used to find the equation of the line of the inequality are;

The slope, m, of the line found from the above two  points on the  line is therefore;

m = (0 - 4)/(2 - 4) = 2

The equation of the line in point-slope form is therefore;

y -  0 = 2·(x - 2) = 2·x - 4

The  equation of the line of the inequality is therefore;

y = 2·x - 4

The dashed line and the shaded region indicates that we get;

y > 2·x - 4

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The total distance travelled by the particle is 24 units.

What is displacement?

Displacement is defined as a change in an object's position. An object's displacement is defined as how far it has moved from its starting point. The dependent variable in the displacement time graph is displacement, which is represented on the y-axis, and the independent variable is time, which is represented on the x-axis. Position-time graphs are another name for displacement time graphs.

The displacement curve is given for 0 ≤ t ≤ 18.

We need to find the total distance of the curve, it will be the positive sum of all displacements.

So, total distance = (7-0) + (3-0) + (2+3) + (2+4) + (7-4)

                             = 7 + 3 + 5 + 6 + 3

                             = 24

Hence, the total distance is 24 units.

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It can be seen that the radius and circumferance are not proportional.

        y = mx

        m = y/x

        [m] is called constant of proportionality.

Given is a graph as shown in the figure.

For the proportional relationship -

(25 - 18)/(4 - 3) should be equal to (38 - 25)/(6 - 4)

7/1 = 13/2

7/1 = 6.5

7 ≠ 6.5

Therefore, it can be seen that the radius and circumferance are not proportional.

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Answer:

Option (A) and (B)

Step-by-step explanation:

The area under the standard Normal curve corresponding to –0.3 < Z < 1.6 is answer choices 0.3273, and 0.4713.

Area = 0.3273. Ergo, the answer is A.

Step-by-step explanation:

0.9953/2 - 0.3085/2

Answer:

NO=6

Step-by-step explanation:

If MP=16 and NP=13 that means MN=3 and MO=9 so that makes NO=6

The rate of change of y with respect to x will be;

⇒ 10

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The table is shown in figure.

Now,

Since, The table is shown in figure.

Let two points from the table as;

(x, y) = (- 8.5 , - 92)  (- 6.5, - 72)

We know that;

⇒ Rate of change = dy/dx = (y₂ - y₁) / (x₂ - x₁)

Substitute all the values we get;

⇒ Rate of change = (- 72 - (-92)) / (- 6.5 - (-8.5))

                            = 20 / 2

                            = 10

Thus, The rate of change of y with respect to x will be;

⇒ 10

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The value of the polynomial p(x) = -2x + 3x + 4 when x is 5 will be 9

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.

A polynomial is an expression made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.

p(x) = -2x + 3x + 4

when x = 5

= -2x + 3x + 4

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

= -10 + 15 + 4

= 9

Note that the information you gave wasn't complete.

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Answer: No, the ratio between AD and DE is 3:1.

Step-by-step explanation:

The centroid splits the median in a 2:1 ratio from vertex to side.

Answer:

It is letter D; No, the ratio between AD and DE is 3:1.

Step-by-step explanation:

Answer: the rectangle is 23 x 41

Step-by-step explanation:

x = length

2x - 5 =  width

A = length x width = (x)(2x-5) = 943

2[tex]x^{2}[/tex] - 5x - 943 = 0

use quadratic equation to solve for x:

a = 2, b = -5, c = -943

roots are 23, -20.5

x = 23 (length)

2x - 5 = 2(23) - 5 = 46 - 5 = 41 (width)

The profit won by Hahid is 28 rupees

Profit is the term used to describe the financial gain experienced when the revenue from a business activity outweighs the costs, costs, and taxes incurred to maintain the activity in question.

There are three main measures of profit. These are gross profit, operating profit and net profit.

According to given question:-

The total amount with which Hahid bought the bananas are

(5/4)*80=100

The total amount with which Hahid sold the bananas are

(8/5)*80=128

The profit got by Hahid is 128-100=28

Hence the solution is 28

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Point ( 0 , -27 ) on the line and  ( -9 , 0 ) are not on the line

Given :

Madison is reeling in her string at a steady rate the linear equation 3y - 9x = -81 can be used to find y the number of feet of kite string she still needs to reel in after x seconds .

Points ( 0 , -27 )

when x = 0

3y - 9 * 0 = -81

3y - 0 = -81

3y = -81

y = -81 / 3

y = -27

so point ( 0 , -27 ) on the line .

when y = 0

3 * 0 - 9x = -81

0 - 9x = -81

-9x = -81

x = 81/9

x = 9

so ( -9 , 0 ) are not on the line

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Using the ti-83 plus/ti-84 plus calculator, the 25th percentile of x is equal to 47.25 with a mean of 48 and a standard deviation of 12, respectively.

A dataset's mean is calculated by dividing the sum of all values by the total number of values. The term "average" is frequently used to describe it because it is the most widely used central tendency metric.

calculation

a) µ =     48    

σ =     12    

n=    115    

X =    45    

Z =(X - µ )/(σ/√n)  =     (45-48)/(12/√115)=    -2.68

P(X<45) = P(Z<-2.68) =         0.0037

b) µ =     48.00    

σ =     12.00    

n=    115.00    

P(X ≤ x) =    0.2500    

z value at  0.25=    -0.674        (excel formula =NORMSINV(0.25))

z=(x-µ)/(σ/√n)        

X=z * σ/√n +µ= -0.674*12/√115+48=        47.25

Using the ti-83 plus/ti-84 plus calculator, the 25th percentile of x is equal to 47.25 with a mean of 48 and a standard deviation of 12, respectively.

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If the parlor sold 389389 tattoos and 4343 were arm tattoos, then the probability of next customer does not get an arm tattoos is 0.99

Total number of tattoos sold in this month = 389389 tattoos

Number of arm tattoos = 4343

Number of other tattoos = 389389 - 4343

= 385046

The probability = Number of favorable outcomes / Total number of outcomes

Substitute the values in the equation

The probability of next customer does not get an arm tattoos = 385046 / 389389

Divide the terms

= 0.99

Therefore, the probability of next customer does not get an arm tattoos is 0.99

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The domain the function is In interval notation [7,  ∞). The range of the function is in the interval  (-1, ∞).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A "vertical line test" can be used when examining a graph to determine whether a relation is a function. The relation is not a function if any point on the graph can be used to draw a vertical line that crosses the relation twice.

Here,

y=√(x-7)-1

x-7≥0

x≥7

at x=7

y=√(7-7)-1

y=-1

The function's domain is represented by the interval notation [7, ∞). The function's range falls within the range [-1, ∞).

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