A marketing consultant created a linear regression model to predict the number of units sold by a client based on the amount of money spent on marketing by the client. Which of the following is the best graphic to use to evaluate the appropriateness of the model
a) a dotplot
b) a histogram
c) a residual plot
d) a boxplot
e) a bar chart

Answer:

Let's assume that Holly has x trophies. When you don't know the amount someone has you can always use x in your equation because later on in the calculation you'll figure it out anyways

Emma has 7 fewer trophies than Holly. So Emma has x - 7 trophies.

Together, they have 27 trophies. So we can write an equation:

x + (x-7) = 27

Simplifying and solving for x, we get:

2x - 7 = 27

2x = 34

x = 17

So Holly has 17 trophies, and Emma has 17 - 7 = 10 trophies in total!

Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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The ordered pair are (-5/3, 0) and (0, 5)

Given the equation y = 3x + 5

To get the ordered pair of the equation, we will find the x and y-intercept

The x-intercept of the equation occur at y = 0

0 = 3x + 5

-3x = 5

x = -5/3

Hence the ordered pair of the solution is (-5/3, 0)

The y-intercept of the equation occur at x = 0

y = 3(0) + 5

y = 0 + 5

y = 5

Hence the ordered pair of the solution is (0, 5)

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(A) Usain Bolt's average speed in meters per second was approximately 10.36 m/s.

(B) Usain Bolt's average speed in miles per hour was approximately 23.35 mph.

(A) Average speed = Distance / Time

Average speed = 200 meters / 19.30 seconds

Average speed = 10.36 meters per second

Therefore, Usain Bolt's average speed in meters per second was approximately 10.36 m/s.

(B) 1 mile = 2580 feet

Converting the distance from meters to miles:

Distance in miles = Distance in meters / (1 meter / 3.28 feet) / (1 mile / 5280 feet)

Distance in miles = 200 meters / 3.28 / 5280 miles

Time in hours = Time in seconds / (60 seconds / 1 minute) / (60 minutes / 1 hour)

Time in hours = 19.30 seconds / 60 / 60 hours

Average speed = Distance in miles / Time in hours

Average speed = (200 meters / 3.28 / 5280 miles) / (19.30 seconds / 60 / 60 hours)

Average speed = 23.35 miles per hour

Therefore, Usain Bolt's average speed in miles per hour was approximately 23.35 mph.

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Answer:

7 feet

Step-by-step explanation:

becuse you do 15-8 and get 7

the answer is 2x^2 + 8x + 6

Answer:

2x²+8x+6

Step-by-step explanation:

please like my answer

Average speed for the whole journey = 53.67 miles per hour.

What is Speed?

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The Average speed:-

"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".

= total distance/total time

According  to the Question

We have;

-------> ALEX drove for 3 hours at a rate of 60 miles per hour.

-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.

We know that;

speed = distance/ time

Now we can write it as;

distance = speed *time

Consider the first statement of the Question;

-------> John drove for 3 hours at a rate of 60 miles per hour.

Here, speed = 60 miles per hour.

Time = 3 hours.

Putting in the above then we get;

distance = 60*3

distance =180

Consider the second statement of the Question;

-------> John drove for 2 hours at a rate of 45 miles per hour.

Here, speed = 45 miles per hour.

Time = 2 hours.

Putting in the above then we get;

distance = 45*2

distance =90

-----> Now find the Average speed of John.

We have;

The distance in the first part;

miles. at time 3 hours.

The distance in the second part;

miles. at time 2 hours.

We have;

The average speed = 53.67 miles per hour

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Answer:

rg+2d= 12

Step-by-step explanation:

(3+5)+2(2)

8+4=12

Answer:

x=9

Step-by-step explanation:

x^2 = 5x + 81 -5x.

x^2 = 81

x=9

The value of C, which represents the upper control limit (UCL) for the X-bar chart in the process of filling baby formula into bottles, is approximately 3.40552. This means that any average amount of baby formula above this limit may indicate a process out of control and require investigation.

To determine the value of C in this scenario, we need to use the formula for the control chart limits for an X-bar chart. The control limits for an X-bar chart with sample size n can be calculated using the following formula:

Upper Control Limit (UCL) = mean + A2 * R

Lower Control Limit (LCL) = mean - A2 * R

In this case:

The target value for the baby formula is 3 ounces.

The average amount of baby formula placed in the bottles is 2.941 ounces (mean).

The sample size is 200 bottles.

The standard deviation of the amounts is 0.1 ounce.

To calculate the value of C, we need to determine the value of A2, which depends on the sample size. The value of A2 can be found in statistical tables or calculated using statistical software. For a sample size of 200, A2 is typically 2.574.

Using the formula for the control limits, we can calculate the upper and lower control limits:

UCL = mean + A2 * R

= 2.941 + 2.574 * 0.18

= 2.941 + 0.46452

= 3.40552

LCL = mean - A2 * R

= 2.941 - 2.574 * 0.18

= 2.941 - 0.46452

= 2.47648

The value of C is the value of the upper control limit (UCL) in this case, which is approximately 3.40552.

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To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.

Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.

A proof by contradiction first starts with the negation, or opposite of the hypothesis.

In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.

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Answer:

4.36 to 4.46

good luck buddy

Answer:

6 <y

Step-by-step explanation:

12 > 18 – y

Subtract 18 from each side

12-18 > 18-18 – y

-6 > -y

Divide each side by -1, remembering to flip the inequality

-6/-1 < -y-1

6 <y

Answer: y = 6

Simplify both sides of the equation.

12> −y + 18

Flip around the equation.

-y + 18 - 18 < 12 - 18

Divide both sides by 1.

\(\frac{-y}{-1}\) < \(\frac{-6}{-1}\)

y > 6

Answer:

Step-by-step explanation:

Given the expression 7+(-2)

Let 7 be 7 positive tiles since it is a positive number

Let -2 be 2 negative tiles being a negative number

7+(-2) = 7 positive tiles and 2 negative tiles

note that + * - will give minus sigh (-), the expression will become:

7+(-2) = 7-2

7-2 = 5

Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.

Hence Jillian made an error in step 4

Answer:

the answer would in-fact be D

Step-by-step explanation:

hope this helps

ps i did this on edge.

A.)  Both services will cost the same if it is for a 3 hours service.

B.) 16+9X=20+7X.

=>9x-7x=20-16.

=>2x=4.

=>x=4/2.

=>x= 2.

Answer:

35√(7)

Step-by-step explanation:

I think if it's wrong I'm sorry

Answer:

1st term is 12

12th term is 144

Step-by-step explanation:

48-36=a4-a3=a1 so a1 is equal to 12  now to get from a3 to a4, you must add 12, so d=12.

a12=12+11*12=12+132=144

Answer:

80%

Step-by-step explanation:

We need to find the percent of change from 3,545 pt to 709 pt.

Original value is 3,545

Changed value is 709

Percent change is given by :

\(\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%\)

So, there is 80% of change from 3,545 pt to 709 pt.

Answer:

Step-by-step explanation:

Step-by-step explanation:

t/3 + -14 = -18

first we clear up the +/- situation.

we know when + and - are combined, the result is -.

t/3 - 14 = -18

now we eliminate the free -14 constant on the left side by adding 14 to both sides (remember, we need to do changes always on both sides to keep the "=" relation: it is like with a balance).

t/3 = - 18 + 14 = -4

and now we eliminate the factor 1/3, so that t remains standing alone, by multiplying both sides by 3 :

t = -4×3 = -12

that's it. we have our answer

Step-by-step explanation:

You want to solve for x:

First, distribute -2 into the parenthesis, you will end up with 44 - 6x - 8 = -18x

Next, combine like terms, you will end up with 36 - 6x = -18x

Next, add 6x to both sides, you will end up with 36 = -12x

Finally, divide both sides by -12, you will end up with x = -3

Answer:0

Step-by-step explanation:

Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230

The distribution of students :

Recall :

Since, selection is done without replacement :

P(both are 11th graders) = (18/37) + (17/36) = 0.230

Therefore, the probability that the two selected students are 11th graders is 0.230

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Answer:

0.001 and 1/1000

Step-by-step explanation:

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)

\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

5 hours

Step-by-step explanation:

Let x represent the number of hours London works landscaping.

We can set up the following system of equations to represent the information given in the problem:

24x + 10(15 - x) = 220

24x + 150 - 10x = 220

14x = 70

x = 5

London must work a minimum of 5 hours landscaping to meet her requirements.

Answer:

5 hours

Step-by-step explanation:

Let x represent the number of hours London works landscaping.

24x + 10(15 - x) = 220

24x + 150 - 10x = 220

14x = 70

x = 5

London must work a minimum of 5 hours of landscaping to meet her requirements.