1-56.
The owner of Universal Widgets has two teams of employees and
wants to know which team is working the "best." The assistant
manager gathered data for the number of widgets made per team
member on various days. He presented the data to the owner as
two boxplots, shown at right. The owner is confused.
a. Help the owner decide which team is working the "best"
by comparing center, shape, spread, and outliers.
b. Which team had a smaller standard deviation? Explain.
200
150
100
30
Team I

Answers

Answer 1
a. To decide which team is working the "best," we can compare the center, shape, spread, and outliers of the two boxplots.

Center: We can compare the medians of the two boxplots to get an idea of the center. From the boxplots, we see that the median of Team I is around 110 widgets per team member, while the median of Team II is around 90 widgets per team member. This suggests that Team I is working better in terms of productivity.

Shape: We can compare the shapes of the two boxplots to see if there are any differences in the distributions. From the boxplots, we see that both teams have roughly symmetric distributions, with no significant skewness.

Spread: We can compare the interquartile ranges (IQRs) of the two boxplots to get an idea of the spread. From the boxplots, we see that the IQR of Team I is around 30 widgets per team member, while the IQR of Team II is around 40 widgets per team member. This suggests that Team I has a smaller spread and is more consistent in their productivity.

Outliers: We can compare the number of outliers in the two boxplots to see if there are any extreme values. From the boxplots, we see that both teams have a similar number of outliers, with a few points outside the whiskers.

Based on these comparisons, we can conclude that Team I is working better than Team II in terms ofproductivity. Team I has a higher median, a smaller spread, and a similar number of outliers compared to Team II.

b. To determine which team had a smaller standard deviation, we need to calculate the standard deviation for each team. However, the boxplot only gives us information about the quartiles, the median, and the outliers, and not the individual data points. Therefore, we cannot directly calculate the standard deviation from the boxplot.

However, we can make an inference based on the spread of the boxplots. We saw in part (a) that the IQR of Team I is smaller than the IQR of Team II. Since the IQR is a measure of spread that includes the middle 50% of the data, we can infer that the standard deviation of Team I is likely smaller than the standard deviation of Team II. This is because a smaller IQR suggests that the data is more tightly clustered around the median, which would result in a smaller standard deviation.

Therefore, based on the boxplots, we can infer that Team I had a smaller standard deviation than Team II.

Related Questions

When the F test is used to test the overall significance of a multiple regression model, if the null hypothesis is rejected, it can be concluded that all of the independent variables x1, x2, . . . , xk are significantly related to the dependent variable y.
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

When the Ftest is used to test the overall significance of a multiple regression model, it evaluates the significance of independent variables to the outcome of the regression model. The null hypothesis of an Ftest when used for multiple regression is that, the independent variables aren't significant in the outcome of the regression model while the alternative Hypothesis claims that the independent variables are significant .

For the overall significance evaluation, once one of the independent variables proves significant, then the overall Ftest is significant, that is it does not require that all individual independent variables are significant. The null only stands when all the independent variables are insignificant.

Therefore, the overall Ftest for significance isn't enough to prove that all individual. Independent variables are significant when the null is rejected.

Solve for x (Be sure to show all your work!)

-3x + 4 = 10

Answers

step-by-step.
-3x+4 = 10

Step 1: Subtract 4 from both sides.
-3x + 4 - 4 = 10 - 4
-3x = 6.

Step 2: Divide both sides by -3.
-3x/ -3 = 6/3

x = -2

Hope this helps:))

find m<A to the nearest tenth degree​

find m&lt;A to the nearest tenth degree

Answers

I think it’s a hope this helps

I need help ASAP pleasr

I need help ASAP pleasr

Answers

Answer:

yyny

Step-by-step explanation:

I need help with this question, I will post it as a photo, please help.

Answers

We need to simplify the next given expression:

\(7m+\frac{5}{12}+8z+\frac{4}{12}+8m-3z\)

We need to solve the like terms, "like terms" are terms whose variables and exponents are the same

Therefore, the like terms are:

7m and 8m

8z and -3z

5/12 and 4/12

Organize the expression:

\(7m+8m+\frac{5}{12}+\frac{4}{12}+8x-3z\)

Solving the like terms:

\(15m+\frac{9}{12}+5z\)

Finally, we can simplify the fraction 9/12 by 3/4 because 3*3 = 9 and

3*4 = 12

Then:

\(15m+\frac{3}{4}+5z\)

Study these equations:

f(x) = 2x – 4

g(x) = 3x + 1

What is h(x) = f(x)g(x)?

h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4

Answers

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

What is the supplementary angle of 30 degrees?
Incorrect answer selected
A.60 degrees
B.90 degrees
C.150 degrees
D.120 degrees

Answers

Yawaaaaaaa HAHAHAHAHAHAHA

C ang anser ana hahahahahaha

Answer:

30 +? = 180 is the formula

Step-by-step explanation:

so c is 150

and if you add 150 to 30 you get 180

2 UT Are these triangles congruent by SSS, SAS, or neither? 1 SSS SAS Neither

Answers

Looking at the figure carefully

The perpendicular of both figures are the same

The longest sides of the two traingles are the same

Having a common angle of 90 degrees

They are congruent ba Sides Angle Sides

The answer is SAS

Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 runs. In the last 4 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs. Write an inequality to determine the number of runs per inning, p, Kim's team could have scored.

Answers

The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.

Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:

(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)

Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:

Six runs were scored by Kim's squad in the first four innings.

The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:

Eight innings times the number of runs per inning is eight runs for Kim's team overall.

Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:

The other team scored a total of 17 runs.

Combining everything, we may represent the inequality as follows:

Total runs scored by Kim's team surpasses all other teams' total runs.

8p + 6 > 17

When we reduce the inequality, we obtain:

8p > 11

When we multiply both sides by 8, we get:

p > 11/8

In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.

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Answer:

6+4p>17

Kim's team scored a minimum of

3 runs per inning.

Step-by-step explanation: Khan Academy

fill in the table using this function rule

fill in the table using this function rule

Answers

13,25,33,and 37 is the answer to your question
thirteen
twenty-five
thirty-three
thirty-seven

The original price of a desk was $80. And its price was marked
down to $70 during the holiday. What was the percentage of
discount for the desk during the holiday?

Answers

Answer:

Required Answer:-

Amount of discount =80-70=10$

percentage:-

\({:}\longrightarrow\)\(\sf {\dfrac{10}{80}}\times 100 \)

\({:}\longrightarrow\)\(\sf {\dfrac {10}{4}}5 \)

\({:}\longrightarrow\)\(\sf {\dfrac {50}{4}}\)

\({:}\longrightarrow\)\(\sf 12.5\% \)

Answer: the answer is 12.5

Step-by-step explanation:

i need help with this question parts d and h

i need help with this question parts d and h
i need help with this question parts d and h
i need help with this question parts d and h

Answers

We can see from the question that the graph of the function is as follows:

We can see that this is a piecewise function, and we can see that to find all x for which f(x) = -3, we can proceed as follows:

Part D

1. We can see that the values of the domain of the function for which the function is equal to -3 go from x = 0 until x = 1 (not included). We can conclude this because we have a solid circle that indicates that the function takes this value for x = 0, x = 0.1, and so on. The open circle indicates that the function does not take the value of y = -3 when x = 1.

Therefore, we can conclude that all values of x for which f(x) = -3 are given, in interval notation as follows:

\([0,1)\)Part h

We know that the range of a function is those values for y that we obtain for the function using the domain values of the function.

We can see from the graph that the values of the function go as follows:

\(\begin{gathered} (-\infty,0)\rightarrow[0,\infty)\text{ } \\ \\ [0,1)\rightarrow y=-3 \\ \\ [1,\infty)\rightarrow y=[4,\infty) \end{gathered}\)

Therefore, we can conclude that the range of the function is, in interval notation as follows:

\([0,\infty)\cup\lbrace-3\rbrace\)

Therefore, in summary, we have:

Part D

i need help with this question parts d and h

Assume that the set of given information is true.
5. If you have a temperature above 100.4°F, then you have a fever. Casey has
a temperature of 101.2°F. What can you conclude about Casey? What rule of
inference did you use?

Answers

The rule of inference used to in concluding that Casey has a fever is called the: law of detachment.

What is the Law of Detachment?

The law of detachment states that, if two statements are true, then a third statement would logically be true. For example:

Statement 1: If a, then b,

Statement 2: a, given that statements 1 and 2 are true, then,

Statement 3, b, is true.

We are given that the two statements below are true:

Statement 1: If you have a temperature above 100.4°F (a), then you have a fever (b).

Statement 2: Casey has a temperature of 101.2°F (a), given that the two statements are true, then,

Statement 3, Casey has a fever, is true.

Therefore, the rule of inference used to in concluding that Casey has a fever is called the: law of detachment.

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didn't know where else to place this except math cuz it's the most popular but I was wondering if I would have a "boost" bc a family member of mine is on the board of trustees of a top 20 private university? it's not a parent or obv a sibling but we are related so can that be considered a legacy? asking bc someone said I can have a boost if I knew someone on the board but I thought that didn't count. Will give brainliest for best answer

Answers

Answer:

uh, I am 12 but I will try my best to answer your question :D

It depends if you trust the person for what they said, not sure exactly all this is, but I think if it's a private university, then it would be called a "boost"

Step-by-step explanation:

Can I have brainiest please? I mean, I did try my best to answer your question for being 12 years of age! I hope this helped you! Have a wonderful day! God bless!

DOMAIN AND RANGLE PLS

DOMAIN AND RANGLE PLS

Answers

The range of this exponential function include the following: B. {y | y ≥ -7}.

What is a range?

In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, 3] or {x | x ≤ 3}.

Range = [-7, ∞] or {y | y ≥ -7}.

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50 points!!! answer this quickly with an explanation

50 points!!! answer this quickly with an explanation

Answers

Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

what would be your first step in completely factoring 6a^2-15a+6

Answers

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Translate sentence into inequality

A number c increased by 8 is greater than 30.

Answers

Step-by-step explanation:

the inequality is

\(c + 8 > 30\)

Answer:

c + 8 > 30

Step-by-step explanation:

A number c increased by 8 is greater than 30.

Number c would be as variable c then increased by 8 meaning adding 8 is greater than 30 which means the greater sign

Inequality: c + 8 > 30

Translate the following phrase or sentence into a math expression or equation (whichever is appro unknown number. A number increased by three tenths is one ninth of that number.

Answers

A number increased by three tenths is one ninth of that number.​

The number will be X

This is the answer to your question:

\(\text{ }\frac{3}{10}+x\text{ = }\frac{1}{9}\)

A printer can print 12 pages in 9 seconds. What is the closet estimate of the number of pages it can print in one minute

Answers

the answer is 72 i think cause 9 x 6 is 54 which is almost a minute but it’s not so then to find how many pages it can print 12 x 6 is 72. so the answer is 72

Find the solution of the system of equations.
-4x + 5y = 13
X – 5y = –22

Answers

Answer:

{y,x}={-7,-3}

Answer:

x=-7, y=3

Step-by-step explanation:

x-5y=-22

-4x+5y=13

Solve first equation for X

x=-22+5y

Sub in for X in the second equation

-4(-22+5y)+5y=13

88-20y+5y=13

88-15y=13

-15y=-75

15y=75

y=3

Sub in y

x=-22+5*3

x=-7

Which ordered pair is not included in a graph of y=2x + 5? David chose a as the correct answer. How did he get the answer?

Answers

The ordered pair that is not included in the graph of the equation, y = 2x + 5, is (0, 0)

Determining the ordered pair that satisfies a linear equation

From the question, we are to determine the ordered pair that is not included in the graph of the given equation

The given equation is

y = 2x + 5

To determine the ordered pair that is not included in the graph of the line, we will check for the ordered pair that does not satisfy the equation.

(0, 0)

Substitute x = 0 into the equation

y = 2x + 5

y = 2(0) + 5

y = 0 + 5

y = 5

This ordered pair does not satisfy the equation

(1, 7)  

Substitute x = 1 into the equation

y = 2x + 5

y = 2(1) + 5

y = 2 + 5

y = 7

This ordered pair satisfies the equation

(0.5, 6)  

Substitute x = 0.5 into the equation

y = 2x + 5

y = 2(0.5) + 5

y = 1 + 5

y = 6

This ordered pair satisfies the equation

(2, 9)  

Substitute x = 1 into the equation

y = 2x + 5

y = 2(2) + 5

y = 4 + 5

y = 9

This ordered pair satisfies the equation

Hence, the ordered pair is (0, 0)

Here is the complete question:

Which ordered pair is not included in a graph of y=2x+5? (0,0) (1,7) (0.5,6) or (2,9)

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A commercial airplane that is 1,500 miles into a 2,500-mile journey is traveling at 450 knots in still air when it picks up a tailwind of 150 knots (in the same direction). If h is the number of hours remaining in the airplane's flight, which of the following equations best describes the situation? 1 knot 1.15 miles per hour (mph).
A. 1,500 + 690h = 2,500 00
B. 1,500 + 600h = 2,500
C. 1,500 - 600h = 2,500
D. 1,500 - 690h = 2,500

Answers

The equation that best describes the situation is A. 1,500 + 690h = 2,500

Speed of plane after tailwind

Since the plane has already covered 1500 miles, and the plane travelling at 450 knots in still air picks up at tailwind of 150 knots in the same direction, the resultant velocity, V of the plane = speed of plane in still air + speed of wind

= 450 knots + 150 knots

= 600 knots

= 600 × 1 knot

= 600 × 1.15 mph

= 690 mph.

Distance of plane after tailwind

If h is the number of hours after picking up the tail wind, the distance moved by the airplane is thus D = 1500 + 690h

Required equation

Since D = 2500 miles, we have

1500 + 690h = 2500.

So, the equation that best describes the situation is A. 1,500 + 690h = 2,500

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What is the area of ΔABC given m∠B = 115°, a = 8 feet, and c = 13 feet?

What is the area of ABC given mB = 115, a = 8 feet, and c = 13 feet?

Answers

Given:

\(\begin{gathered} m\angle B=115^0 \\ a=8\text{feet} \\ c=13\text{feet} \end{gathered}\)

Let us now sketch the triangle ABC

The formula to obtain the area(A) of the triangle is,

\(A=\frac{1}{2}ac\sin B\)

Therefore,

\(\begin{gathered} A=\frac{1}{2}\times8\times13\times\sin 115^0 \\ A=4\times13\times\sin 115^0=52\sin 115^0=47.128005feet^2\approx47.13feet^2(2\text{ decimal places)} \end{gathered}\)

Hence, the area of the triangle ABC is

\(47.13\text{feet}^2\)

The correct option is Option 1.

What is the area of ABC given mB = 115, a = 8 feet, and c = 13 feet?

The length of a rectangle is twice its width.
If the perimeter of the rectangle is 60in , find its length and width.

Answers

The width would be 10 and the length would be 20

Hope this helps!
Width of ten and a length of twenty

Show that sin⁴x-cos⁴x/ sin²x-cos²x = 1​

Answers

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Use the net to determine the total surface area. 10 cm 8 cm 8 cm 10 cm 8 cm 20 cm
440 cm2
880 cm2
144 cm2
72 cm2​

Use the net to determine the total surface area. 10 cm 8 cm 8 cm 10 cm 8 cm 20 cm 440 cm2 880 cm2 144

Answers

The answer to your questions is 440 cm2

What is the complementary number of 54

Answers

For this type of problems we recall the definition of the complementary number of another number:

Let's say we have a number x, then the complementary number of x is a number for which the following happens:

\(x+mplementaryofx=10^n\)

Where n is the minimum number such that

\(10^n\ge x\)

For example: the complementary number of 5 is 5, the complementary number of 100 is 0, the complementary number of 350 is 650.

Answer: the complementary number of 54 is 100-54= 46.

Find the area of the shape

Find the area of the shape

Answers

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Which is a better estimate for the volume of a bottle of glue?
47 gallons
47 teaspoons

Answers

Answer:

47 teaspoons

Step-by-step explanation.

Gallons are to big, teaspoons are way smaller

47 tablespoons because you think a bottle of glue is small gallons is way to much but yet tablespoons is perfect to fill up a little tiny bottle of glue
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