1. The floor of a building is 120 feet long
and 80 feet wide. A scale model of the
building has a length of 24 inches. What
is the width of the model?

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.

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:

-2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi vengefull,  :0  like that show on Netflix about revenge, huh  :0 anyway, back to math.

the equation 1):

40*A+ 35*B=2000

the equation 2):

50*A + 80*B=3000

Answer:

1.Based on the data, this is an example of correlation and causation.

2.The slope is −0.3, which indicates a negative correlation.

3.$5972.65

4.16,800 to 26,700 total hours spent in the park.

5. -3.25

6.Causation cannot be proven because poor eyesight can occur for other reasons, such as genetics.

7.The y-intercept is 20. This is the cost of registration.

8.Correlation, because time of day doesn't cause a person to run faster or slower

9.$53,700

10.0.33

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Comment if u need explanation of any answer

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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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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Quotient is 51.97 by dividing 2,183 by 42. A quotient is the amount that results from dividing two numbers.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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The mistake she done is that the acutal quotient is 51.97.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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Answer:

0

Step-by-step explanation:

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

0

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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Answer:

3816

Step-by-step explanation:

Calculated using unit rates, Steven's birthday party will cost him $ 708 if he were to invite 59 guests.

If the party will cost him $168 for him to invite 14 guests, then we will need to calculate the cost for each guest using unit rates.

if 14 guests = $168,

1 guest = 168/14 = $12

so it will cost him $12 per guest he invites

Knowing that each guest will cost him $12, then if Steven wants to invite 59 guests to his birthday party, he will be spending:

59 × $12 = $708

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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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The rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction is x + y = 0.

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

This is about converting polar coordinate to rectangular form.

Relationship between coordinates is:

x = r cosθ

y = r sinθ

then;

y/x = sinθ/cosθ

y/x = tanθ

We have θ = 5π/6, finding the value of tan:

tan 5π/6 = tan (π - π/6)

= - 1/√3

= - √3/3

Now Substitute tan with its value:

y/x = -√3/√3

√3y = -√3x

y + x = 0

x + y = 0

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Answer:

c on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

take the radius which is 5 square it 5^2 and divide by 3 then round hope it helps

Answer: 8,33333333333333333

Step-by-step explanation: 5^2 =25 divided by 3 is 8,33333333333333333

The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below

From the question, we are to determine graph of the given cubic equation.

The given cubic function is

f(x) = x³ - 10x² + 16x

To graph the equation, we will determine the value of f(x) for certain values of x

When x = 0

f(x) = x³ - 10x² + 16x

f(x) = (0)³ - 10(0)² + 16(0)

f(x) = 0

When x = 2

f(x) = x³ - 10x² + 16x

f(x) = (2)³ - 10(2)² + 16(2)

f(x) = 0

When x = 5

f(x) = x³ - 10x² + 16x

f(x) = (5)³ - 10(5)² + 16(5)

f(x) = -45

When x = 8

f(x) = x³ - 10x² + 16x

f(x) = (8)³ - 10(8)² + 16(8)

f(x) = 0

When x = 10

f(x) = x³ - 10x² + 16x

f(x) = (10)³ - 10(10)² + 16(10)

f(x) = 160

Using the determined points above, the graph of the cubic equation is shown below

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Answer:

(14x +49)^2

Step-by-step explanation:

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The distance between these two cities on a different map with a scale 1:300,000 is 4vm

From the information, on the map with a scale 1: 100,000, the distance between two cities is 12 cm.

In this case, the distance between these two cities on a different map with a scale 1:300,000 will be:

= (100000 / 300000) × 12

= 1/3 × 12

= 4cm

The distance is 4cm.

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-1)}) \implies y -5= -3 (x +1) \\\\\\ y-5=-3x-3\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}[/tex]

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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Step-by-step explanation:

by 12 % seconds

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

Answer: 19

Step-by-step explanation:

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.

Answer:

72

Step-by-step explanation:

The probability that the mean GPA of a random sample of 20 students selected from this university  is 3.10 or higher is 10.93%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Problems of normally distributed samples are solved using the z-score methods.

We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:

                              Z = X - μ/σ

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the p- value of Z when X = 3.10. So

By the Central Limit Theorem:

             Z = X - μ / s

       ⇒  Z = 3.1 - 3.02/ 0.0648

       ⇒ Z = 1.23

The Z = 1.23 has a P- value of 0.8907

∴ 1 - 0.8907 = 0.1093

Now, for  getting the percentage,

0.1093 × 100% = 10.93%

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

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No, there isn't any statistical proof because, according to the simulation, Audrey would sell at least 7 out of the 30 chosen tickets roughly 13.8% of the time.

What exactly is statistical proof?

A type of explanation known as statistical evidence is one that is based on information that has been gathered and then assessed using a mathematical model.

Based on the information provided, the students created the following simulation:

Choose 88 red chips and the rest 600 blue chips.

30 chips are chosen at random, with no replacements.

When choosing the 30 chips, keep track of and record the amount of red chips.

Therefore, we may say that there is no statistical proof that the occurrence happened by chance alone at = 0.05.

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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:

C

Step-by-step explanation:

Prime numbers are only divisible by themselves and 1  ....all even numbers are divisible by '2' ,  so all primes are odd numbers