At the Midlothian Independent Bank, a study shows that the mean ATM transaction takes 74 seconds, the median 63 seconds, and the mode 51 seconds. (a) Check the appropriate choice of distribution based on the statistics given. The distribution should be skewed to the left because the mean is greater than the median. The distribution should be skewed to the right because the standard deviation is greater than the mean. The distribution should be skewed to the right because the mean is greater than the median. The distribution should be skewed to the left because the variance is greater than the mean. (b) Select the factor that might cause the distribution to be like this. Most ATM transactions will tend to be high in duration, but a few will be of longer duration. Most ATM transactions will tend to be low in duration, but a few will be of lower duration.

Answers

Answer 1

Answer:

a) The distribution should be skewed to the right because the mean is greater than the median.

b) Most ATM transactions will tend to be low in duration, but a few will be of lower duration.

Step-by-step explanation:

Given:

Mean = 74

Median = 63

Mode = 51

a) We can see that the mean is greater than the median, and the median is greater than the mode. It can be written in this sequence : Mean > Median > Mode.

Therefore, the distribution should be skewed to the right because the mean is greater than the median.

b) Since the mode is less than mean, the duration of view will be longer but there wil be a low value of observation.

Therefore, the factor thay might cause the distribution to be like this is that most ATM transactions will tend to be low in duration, but a few will be of lower duration.


Related Questions

The area of a rectangular swimming pool is 360 square feet. If the length of the pool is 9 feet more than it’s width, find the length of the pool

Answers

Answer:

The length of the pool is [tex]L=24\:ft[/tex].

Step-by-step explanation:

The area of a rectangle is given by [tex]A=L\cdot W[/tex] where L is the length, W is the width.

If the length of the pool is 9 feet more than it’s width, this means that [tex]L=9+W[/tex]

We know that the area of a rectangular swimming pool is 360 [tex]\:ft^2[/tex]. So we simple insert the length ([tex]L=9+W[/tex]), width ( [tex]W[/tex]) and area (360) into the formula and  solve the resulting equation.

[tex]360=\left(9+W\right)W\\\\360=9W+W^2\\\\9W+W^2=360\\\\W^2+9W-360=0[/tex]

[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]\mathrm{For\:}\quad a=1,\:b=9,\:c=-360:\quad W_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}\\\\W=\frac{-9+\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= 15[/tex]

[tex]W=\frac{-9-\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= -24[/tex]

A length cannot be negative. So [tex]W=15[/tex] and the length of the pool is [tex]L=9+15=24\:ft[/tex]

Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units

Answers

Answer:

A

Step-by-step explanation:

point c' (_4, _3) is the image of c (_2, _3) under a translation

Answers

Answer:

2 units moved?

Step-by-step explanation:

Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left

Answers

7.8-0.7 =7.1 .........

Greetings, Brianna!

In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.

1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.

2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:

7.8

-0.7

3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.

[tex]8 - 7 = 1[/tex]

[tex]7 - 0 = 7[/tex]

7.8

-0.7

 71

4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!

Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before.  If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar,  directly underneath the other points. Don't pay much attention to it.

*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!

 7.8

-0.7

 7.1

Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.

Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.

-6•f (-3) - 5•g (-7) =

please help.

Answers

Answer:

  -12

Step-by-step explanation:

The value of f(-3) is found by finding the point on the solid blue graph where x = -3. That point has a y-value of -3, so f(-3) = -3.

The value of g(-7) is found by finding the point on the dashed purple graph where x = -7. That point has a value of 6, so g(-7) = 6.

Putting these numbers into your expression gives ...

  -6(-3) -5(6) = 18 -30 = -12

fourteen less then the product of five and nine in numerical expression

pls help

Answers

Answer:

( 5 x 9 ) - 14

Which equals 31

Answer:

31

Step-by-step explanation:

5 x 9- 14 is 31

What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4

Answers

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

It is forsure A has to be

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Square roots are 5 and 6

since you cannot simplify 5/6 anymore, that is the answer

If you just comment just to comment I’ll report you ok

- geometry

Answers

Answer:

6644.7 cubic meters

Step-by-step explanation:

[tex]\text {Fomula for volume of a cube: } V=s^3\\s-\text {Side Measure}[/tex]

The side measure is 18.8m.

[tex]V=18.8^3\\V= 18.8*18.8*18.8\\\boxed{V=6644.672}[/tex]

6644.672 ≈ 6644.7

The volume of the cube should be 6644.7 cubic meters.

Brainilest Appreciated.

At SeptemberFest, the first dance of the year, the Students’ Council charged $3 for couples and $2 for singles. If 365  tickets were sold and the total receipts were $925, how many single tickets were sold? Write you answers as a number only.

Answers

They left with 121$ Bc they was with single ticket

This table shows Jill’s math quiz scores. What is the minimum score she needs on her next quiz to have a mean of at least 92?

90
94
88
92

Answers

Answer:

~ Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes ~

Step-by-step explanation:

1. The table shows that her past weeks math quiz scores are: 92, 96, 94, 88

2. If she were to get a mean, or average, of at least 92, we could set up an equation to determine the minimum score she will recieve on her next quiz:

92 + 96 + 94 + 88 + x/ 5 = 92 ⇒ (where x is the minimum score she should recieve on her next quiz to get an average of at least 92%)

3. Now let us solve this equation for x through simple algebra ⇒

92 + 96 + 94 + 88 + x/ 5 =  92 ⇒

370 + x/5 = 92 ⇒

x/5 + 74 = 92 ⇒

x/5 = 18

x = 90

4. Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes

Answer: She would need a 90

Step-by-step explanation: I did the iready

568,924,126 each digit stands for what

Answers

Answer:

500,000,00060,000,0008,000,000900,00020,0004,000100206

Step-by-step explanation:

To find what a digit stands for, make all the other digits zero.

This is substantially what we do when we write the number in "expanded form."

  568,924,126

  = 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...

     ... +100 +20 +6

The list of numbers in the sum is the list of numbers the digits stand for.

Just the 46×23 to the fourth power times 1000

Answers

Answer:1.2872686 x 10^10

Step-by-step explanation:

46 x 23^4 x 1000

46 x 23 x 23 x 23 x 23 x 1000

1.2872686 x 10^10

The distance between the origin and the point representing the real number.

Answers

Answer: I believe the answer you're looking for is absolute value

I hope this helps!!!

Which method would determine the volume of the prism with dimensions 2x2x4 shown below?
2 in
4
There are 8 one-quarter cubes and 16 unit cubes so 8x
00
+16 will give the volume

Answers

+16 will give the volume
2x2=4
4x4=16

if Logan(3)=5, what is the value of a^5?​

Answers

Answer:

  [tex]a^5=3[/tex]

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  [tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]

Here, it means ...

  [tex]\boxed{a^5=3}[/tex]

Answer:

[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]

Step-by-step explanation:

[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]

On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea

Identify the population

Identify the parameter

Identify the sample

Identify the statistic

Answers

Answer:

i) The bottles of iced tea filled in a plant is the Population

ii) The Average of Population μ = 20 is called Parameter

iii) The sample size 'n' = 50

iv) The mean of the sample 'x⁻ = 19.6 ounces

Step-by-step explanation:-

Population:-

The total number of observations which we are concerned , whether this number be finite or infinite is called Population.

In Given data

The bottles of iced tea filled in a plant is the Population

Parameter:-

The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.

The Average of Population μ = 20 is called Parameter

Sample:-

A sample is a subset of population

given data sample size n=50 bottles at random from the days of production

Statistics

The sample mean x⁻ and variance S² is called statistics

Given data

These bottles contained an average of 19.6 ounces of iced tea

x⁻ = 19.6 ounces

can someone please answer this fast, ty

Answers

Answer:

13p

Step-by-step explanation:

12p+p

Factor out the p

p(12+1)

p (13)

13p

The correct answer is 13p

3 1/3 CUPS OF FLOUR IS NEEDED TO MAKE A PAN OF MUFFINS. 2 1/3 CUPS OF FLOUR IS NEEDED FOR A LOAF OF BREAD. HOW MUCH MOE FLOUR IS NEEDED FOR THE PAN OF MUFFINS? DRAW A TAPE DIAGRAM?

Answers

Answer:

1 cup

Step-by-step explanation:

3 1/3 - 2 1/3 = 1 cup

If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?

Answers

Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border

Step-by-step explanation:c=2pie•r^2

(8.2×10^2)+(3.41×10^-1)​

Answers

Answer:

820.341

Step-by-step explanation:

(8.2×10^2)+(3.41×10^-1)​=

(8.2×100)+(3.41×0.1)=

820+0.341=

820.341

Answer:820.341

Step-by-step explanation:

(8.2x10^2)+(3.41x10^-1)

(8.2x10x10)+(3.41 x 1/10)

(8.2x100)+(3.41x0.1)

820+0.341=820.341

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha

Answers

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

 Level of significance ∝ = 0.01

Step(ii):-

 The test statistic

                              [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                             [tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

(or)

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

             

STATS. How can we decide if an event that seems weird is actually unusual or fairly likely?

Answers

Answer:

Try finding the theoretical probability of a sample space before calling the event in the sample space "weird"

Step-by-step explanation:

A rectangle is divided into same size squares one row covers 1/8 of the whole rectangle there are 3 squares in each row how many squares are in a whole triangle

Answers

Answer:

it is one square

Step-by-step explanation:

in the middle is room for one but anywhere else isn't

Brainliest to whoever gets this CORRECT.

Answers

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

Add 43 to each side

-13+43 > x-43+43

30 > x

A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was​ $28,900 with a standard deviation of​ $2300. The mean from the second city was​ $30,300 with a standard deviation of​ $2100. Construct a​ 95% confidence interval for mu 1minusmu 2.

Answers

Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

Y= - x+2 Y=3x-4
Estimate the solution to the system of equations

Answers

Answer:

[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y=-x+2\\y=3x-4[/tex]

Let's solve one of them for x.

[tex]y=3x-4[/tex]

Add 4

[tex]y+4=3x[/tex]

Divide by 3.

[tex]x=\frac{y+4}{3}[/tex]

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

[tex]x=\frac{y+4}{3}[/tex]

[tex]x=\frac{(-x+2)+4}{3}[/tex]

[tex]x=\frac{-x+2+4}{3}[/tex]

[tex]x=\frac{-x+6}{3}[/tex]

Multiply by 3 to get rid of the denominator.

[tex]3x=-x+6[/tex]

add x

[tex]3x+x=6[/tex]

Combine like terms;

[tex]4x=6[/tex]

Divide by 4.

[tex]x=\frac{6}{4}[/tex]

Simplify.

[tex]x=\frac{3}{2}[/tex]

Now that you found the value of x, replace it in any of the equations to find y.

[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]

[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]

Proof:

[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]

[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]

[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]

[tex]\frac{1}{2}=\frac{1}{2}[/tex]

The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1) What number should go in place of n to find the area of the triangle?

Answers

Answer:

Step-by-step explanation:

4.5

Answer:

4.5

Step-by-step explanation:

i did the test

There are 3 white marbles and 7 blue marbles in a bag. Hannah will randomly pick a marble out of the bag. What is the probability of Hannah picking a blue marble?

Question 2 options:

1


3/10


7/10


1/2

Answers

7 blue marbles and 10 total marbles.

Picking blue would be 7 blue/ 10 total = 7/10

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I need help with Economics! View photo below-- Any help would be appreciated (: Thanks for all the help Which of the following is correct? When a current carrying wire is in your left hand, thumb in the direction of the magnetic field lines, your fingers point in the direction of the current. When a current carrying wire is in your left hand, thumb in the direction of the current, your fingers point in the direction of the magnetic field lines. When a current carrying wire is in your right hand, thumb in the direction of the magnetic field lines, your fingers point in the direction of the current. When a current carrying wire is in your right hand, thumb in the direction of the current, your fingers point in the direction of the magnetic field lines. You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive? A substance valued or required by any organism(s) for survival is defined as a ____ Several of the men visiting Baptista are in disguise. Who are they? What are they trying to do? 5) Que quiere hacer mama?Make sure to put accents if you need them. ae. 1. ouVour answer Every kid should take a foreign language class to learn the ins and outs of a whole different culture Which step should students take after analyzing multiple sources of information A determine a claim B create their reaserch plan C marrow their reaserch topic D develop a primary question Colin, Sara and Gordon share some sweets in the ratio 5:2:1. Colin gets 36 more sweets than Gordon. How many sweets are there altogether? "ACEs are the single greatest unaddressed public health threat facing our nation today." -Dr. Robert Block, former president of the American Academy of Pediatrics. Do you agree with this quote? Explain. Select the sequence of transformations that show ABC is similar to DEF.Select one:A. a 180 counterclockwise rotation about the origin and a reflection across the x-axisB. a horizontal translation 3 units to the right and a vertical translation 2.5 units upC. a dilation and a 90 counterclockwise rotation about the originD. a reflection across the y-axis and a dilation For the data 20, 40, 50, 20, 10, 70. What is there mean absolute deviation? Which kind of volcano is most likely to form from this plate movement Can anyone help me with this? Im not sure on my answers, this is using imperfect or the preterite tense! How did the opportunities for women in music change in the Romantic era? help its science its 4th grade work Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours. How does Alecs background shape his perspective of Milo? He realizes that he asks questions that are similar to Milo's questions.He is envious that Milo gets to stand on the ground.He thinks Milo is older than he looks.He believes that Milo should be floating in the air. Write the definition of a function words_typed, that receives two parameters. The first is a person's typing speed in words per minute (an integer greater than or equal to zero). The second is a time interval in seconds (an integer greater than zero). The function returns the number of words (an integer) that a person with that typing speed would type in that time interval.