1. a car manufacturer is concerned about poor customer satisfaction at one of its dealerships. the management decides to evaluate the satisfaction surveys of its next 62 customers. the dealership will be fined if the number of customers who report favorably is between 45 and 50. the dealership will be dissolved if fewer than 45 customers report favorably. it is known that 84% of the dealership's customers report favorably on satisfaction surveys. a. what is the probability that the dealership will be fined? b. what is the probability that the dealership will be dissolved?

Answer:

It's a positive correlation.

Step-by-step explanation:

It's gradually going up, even if there's a few points that are a bit uncorrelated.

Answer:

15$

Step-by-step explanation:

The linear model that predicts the population, y, of Florida (in millions) in terms of x, the number of years since 2010 is y = 17.4+0.22x.

According to the question,

We have the following information:

The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015.

Now, y is the population.

So, we will have the total population in 2010 and 0.22 times the number of years.

So, the expression will be:

y = 17.4+0.22x

Hence, the correct option is C.

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Answer:

x = -2

Step-by-step explanation:

2(x + 9) - 15 = -3  Distributive property

2(x) + 2(9) -15 = -3

2x +18 - 15 = -3  Combine like terms

3x + 3 = -3   Subtract 3 from both sides

3x = -6  Divide both sides by 3

x = -2

The number of hours Sophie worked and the number of hours Addison worked are 7 and 4 hours respectively.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x and y be the number of hours for Sophie and Addison:

x + y = 11

20x + 30y = 260

After solving the above two linear equations by substitution:

x = 7 hours

y  = 4 hours

Thus, the number of hours Sophie worked and the number of hours Addison worked are 7 and 4 hours respectively.

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Answer:

20

Step-by-step explanation:

3-point shots made : 3-point shots attempted = 2 : 5

If the team made 24 points out of 3-point baskets, then since 24/3 = 8, it made 8 3-point baskets.

Proportion:

8 made is to 2 as x attempted is to 5

8/2 = x/5

2x = 40

x = 20

If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.

Using this formula to find the fastest and the slowest speed

Speed for white ball :

Speed for white ball = 143 centimeters /4 seconds

Speed for white ball = 34.75

Speed for green ball:

Speed for green ball = 112 centimeters /3 seconds

Speed for green ball= 37.33

37.33 is greater than 34.75 which means that green ball is the fastest.

Therefore the correct option is B.

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Answer:

Solution

Here ,

5x +7 = 9x-63 (Corresponding angle)

or, 5x-9x =-63-7

or, -4x =-70

or, X=17.5

Hence the value of X is 17.5 degree.

The maximum wage that this perfectly competitive firm should pay to hire this worker = $80

The options for this question

A) $80 minus the firm's profit markup

B) It depends on what the going wage rate is in the labor market.

C) $80

D) There is insufficient information to answer the question.

now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker

given that

the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit

maximum wage = additional units × sold per unit

                          = 20 × 4 = 80

the maximum wage = $80

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The equation that best represents this relationship given in the table is y = 56x.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a table below that shows the number of hours the Carrera family has been driving and the number of miles they’ve driven.  

We can find the slope of the line from the table as follows -

m = (168 - 84)/(3 - 1.5)

m = 56

Now, we can write -

y = 56x + c

84 = 56 x 1.5 + c

c = 0

So, the equation would be -

y = 56x

Therefore, the equation that best represents this relationship given in the table is y = 56x.

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Answer: 19

Step-by-step explanation:

Answer:

3816

Step-by-step explanation:

The value of the x, y, and z for the given system of equations are; x =  -2/3, y = -1/2, and z = 1.

First, let us understand the equation:

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

We are given the system of equations;

3x − 4y + z = 2                ...........equation 1

−9x + 12y − 3z = − 6       ...........equation 2

4x − 2y − z = -16             ...........equation 3

Add equation 1 to equation 3, we will get;

(3x − 4y + z ) + (4x − 2y − z ) =  2 -16

7x - 6y = -14  ...........equation 4

Multiply equation 3 by 3 and subtract from equation 2, we will get;

3(4x − 2y − z) - (−9x + 12y − 3z ) = -48 + 6

12x - 6y - 3z + 9x - 12y + 3z = 42

21x  - 18y = 42   ...........equation 5

Multiply equation 4 by 3 and add it to equation 4, we will get;

3(-3x + 3z) + (9x + 4z) = 5×3 - 2

-9x + 9z + 9x + 4z = 15 -2

13z = 13

z = 1

Put z = 1 in equation 5, we will get;

-3x + 3×1 = 5

-3x + 3 = 5

-3x = 5 - 3

x = -2/3

y = -1/2

Thus, the value of the x, y, and z for the given system of equations are; x =  -2/3, y = -1/2, and z = 1.

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With annual growth rate of 1.2% per year, the projected world population in 2044 is 10.5 billion

The formula for the exponential growth model is:

X(t) = Xo (1 + r)^t

Where:

X(t) = value of X at time t

Xo = initial value

t = time interval

r = growth rate

Parameters given:

Xo = 7 billion = 7 x 10⁹

t = 2044 - 2010 = 34

r = 1.2% = 0.012

Hence,

X(t) =  7 x 10⁹ (1 + 0.012)³⁴

X(t) = 10.5 x 10⁹ = 10.5 billion

Therefore,

The projected world population in 2044 = 10.5 billion

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Step-by-step explanation:

by 12 % seconds

The money A has is #150 and the money B has is #125.

According to the question,

We have the following information:

Half of A's money plus one-fifth of B's makes #100. Two-thirds of A's money plus two-fifth of B's makes # 150.

So, we will convert these verbal phrases into expression.

Now, let's take the amount of A to be #x and the amount of B to be #y.

x/2 + y/5 = 100

Using the least common factor of 2 and 5:

5x+2y = 1000

5x = 1000-2y ...(1)

2x/3 + 2y/5 = 150

Adding the fractions using the least common multiple of 3 and 5:

(10x+6y)/15 = 150

Using the cross multiplication method:

10x+6y = 2250

Now, putting the value of 5x from equation 1:

2(1000-2y)+6y = 2250

2000-4y+6y = 2250

2y = 2250-2000

2y = 250

y = 250/2

y = #125

Now, putting this value of y in equation 1:

5x = 1000-2y

5x = 1000-2*125

5x = 1000-250

5x = 750

x = 750/5

x = #150

Hence, the money A has is #150 and the money B has is #125.

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Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.

Given,

Adding and subtracting to multiplying and dividing bases with different exponents.​

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

The exponents and variables must match in order to add exponents. The exponents are left constant while the variable coefficients are added. The addition only includes terms with the same variables and powers. Exponents can be multiplied and divided according to this rule.

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Answer:

4 7/12

Step-by-step explanation:

Answer:

3/5=w

Step-by-step explanation:

the 2 onthe numerator and the 2 on the denominator cancel each other out leaving w byitself.

Answer:

16/5

Step-by-step explanation:

10x3/5=10x w-2/2

Answer:

9l^5n-8l-3<15

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Yes.There is a strong , positive association,so an increase in turnovers causes an increase in points for NBA players..

Given that,

This scatterplot illustrates the correlation between a player's turnover rate and their points scored during a recent NBA season. 3000 2500 2000 Points 1500 and  r= 0.92

r = 0.92 A strong positive (upward sloping) linear relationship

While a correlation of 0.10 would be a modest positive correlation, a correlation of 0.97 is a significant negative correlation.

Hence, Yes. Because there is a significant positive correlation, more turnovers result in more points for NBA players.

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The solution of the inequality is x>2 and the graph is attached below.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. When two values are compared, an inequality shows whether one is higher, lower, or simply not equal to the other.

The given inequality is 2x - (3-x) > x + 1,

Now, solving the inequality by opening the bracket,

2x - (3-x) > x + 1

[tex]2x - 3 + x > x + 1[/tex]

3x - 3 > x + 1

Subtracting x from both sides and  adding 3 on both sides,

2x > 4

x > 2

So, the graph is attached below and Option D is correct.

Therefore, after solving the given inequality, we get x > 2 and the graph is attached below.

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Answer:

0

Step-by-step explanation:

Slope = (y-y1)/(x-x1)

0

The correct expression to determine the amount of time is 45 times startfraction 4 over 9 endfraction times three-fifths.

Sal has finished = 5/9 of 45 maths problems

So, the remaining number of maths problems = 1 - 5/9

The remaining number of maths problem = (9 - 5)/9

The remaining number of maths problem = 4/9 of 45

Amount of time to solve 1 problem = 3/5 of a minute

Amount of time to solve 4/9 problems = 45×4/9 × 3/5 of a minute.

Hence, 45 times startfraction 4 over 9 endfraction times three-fifths is the correct expression to find the time.

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The standard form of quadratic function is f(x) = 1(x-2)2 - 6

A quadratic function is a two-degree function. A parabola is the graph of a quadratic function. A quadratic function has the general form f(x)=ax2+bx+c, where a, b, and c are real numbers and a0. A quadratic function has the standard form f(x)=a(xh)2+k. The vertex (h,k) has the coordinates h=-b2a,k=f(h)=f(b2a).

Given points (5,3) and (2,-6)

We know that the General form of a quadratic function is

f(x) = ax2+bx+c

Standard form = a(x-h)2 + k

Here point(x,y) = (5,3) and vertex (h,k) = (2,-6)

y =  a(x-h)2 + k

3 = a(5-2)2 – 6

3 = a(3)2 – 6

3 + 6 =9a2

9= 9a2

a2 = 9/9

a2=1

a=1

Now substitute a value in standard form

f(x) = 1(x-2)2 – 6

Therefore the standard form of quadratic function is f(x) = 1(x-2)2 – 6

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Answer: 1530

Step-by-step explanation: First, you would want to calculate how many are made in one day. 36 trophies are made per hour, for 8 1/2 hours. 36 x 8.5(8 and a half) is 306, so in one day, 306 are made. Then, all you have left is to multiply it by 5, for five days, and that would be 1530. Hope This Helps.

Answer: y=x+4

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b where

m is the slope and b is the y-intercept.

Formula for working out the slope: y2-y1/x2-x1

Put the values in the equation: 4-3/0-(-1). Answer is 1/1 which is 1.

y-intercept: put one of the x and y values from the graph into the equation y=mx+b. Here, I'm going to choose the point (0,4).

The equation is now 4=1(0) + b

Working out for equation:

4=0+b

4=b

The final equation is y=x+4.

You can also use the graph to help you find the y-intercept! First, look at the y-axis. Then the point that passes it is your y-intercept!(Remember it's the y value not the x)

Answer:

(14x +49)^2

Step-by-step explanation:

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