When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times

Answers

Answer 1

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean.  That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)


Related Questions

The dot plot shows two students’ scores on 12 history quizzes.

Which of the following statements correctly compares the median and the range of their scores?

A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores

B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores

D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores

Answers

Answer:

The correct answer is B

Step-by-step explanation:

Both of their medians are equal and Ami's range is larger than Lolo's range :)

The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

Option B is the correct answer.

What is median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Lolo's quiz:

Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19

Median.

= (14 + 15)/2

= 14.5

Range,

= 19 - 12

= 7

Ami's score:

Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18

Median.

= (14 + 15)/2

= 14.5

Range.

= 18 - 10

= 8

We can say that,

The median is the same for both and Ami's range is greater than Lolo's.

Thus,

The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

Learn more about median here:

https://brainly.com/question/28060453

#SPJ2

Ms. Benson can pay $293.22 for her gym membership upfront, or she can pay the amount over a period of six months. How much would Ms. Benson pay each month for the sixth month period?​

Answers

Answer:

She would have to pay $48.87 a month for six months.

Step-by-step explanation:

293.22 ÷ 6 = 48.87

Answer:

$48.87

Step-by-step explanation:

For example, if it was a backruptcy we would need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term

180 = P * 2% * 1

180 / 2% = P

9,000 = Principal

Benson pays an additional interest of  9,000 each year. Monthly payment of 750.

9,000 / 12 months = 750 per month.

But since we are just dividing the answer will be 293.22 ÷ 6 = 48.87

What is the scale factor of the dilation?
Parallelogram FGHJ was dilated and translated to form
similar parallelogram FG'H'J'.
1. 1/8
2. 1/4
3. 4
4. 8

Answers

Answer:

3

Step-by-step explanation:

Please help me I have 10 minutes no scams I’m in 7th grade

Answers

Answer:

The answer is 37

Step-by-step explanation:

180- 143= 37

The cargo of the truck weighs less than 2,800 pounds. Use w to represent the weight (in pounds) of the cargo.

Answers

Answer:

w < 2,800lb

Step-by-step explanation:

w weighs less than 2,800 pounds.

2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?

Answers

Answer:Veronica has 22 marigold plants

Step-by-step explanation:

Total Number of flower plants in her garden=55

fraction of flower plants which are marigolds=2/5

Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden

=2/5 x 55

=22

Darius deposits $300 into a new savings account. The account earns simple interest at a rate of 2.18% annually. How much money does Darius have in his account at the end of the first year?

Answers

He will have $306.54

I need help please quick!!!!

Answers

Answer:

C

Step-by-step explanation:

if five times of a number is 125 then 0•8 of this number is​

Answers

Answer:

20

Step-by-step explanation:

5n = 125

n = 25

0.8 x 25 = 20

i don’t understand how to solve this

Answers

dont click the link above.

Owen asked 10 classmates how many text messages they each send per day. The results are in the list below. 0,5, 39, 29, 0, 30, 14, 23, 25, 22 Click within the graph area to create a histogram for the number of text messages Owen's classmates each send per day. Owen's Survey 5 4 Frequency 1 0-9 10-19 20-29 30-39 Number of Text Messages​

Answers

Step-by-step explanation:

0,0,5= 0-9 (3)

14= 10-19 (1)

29,23,25,22= 20-29 (4)

39,30= 30-39 (2)

Hope this helps :)

Find the rate of change from the table ...

Answers

Answer:

(34-30)/(4-2)=4/2=2

(38-34)/(6-4)=4/2=2

Step-by-step explanation: basically, we are just trying to calculate the slope, so (y2-y1)/(x2-x1), then you will get your answer

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for Pi. 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2

Answers

Answer:

178.98 ft2

Step-by-step explanation:

The approximate area of the path is 179 ft².

Area of the smaller circle

The area of the smaller circle is calculated as follows;

A₁ = πr₁²

Where;

r₁ is the radius of the smaller circle = 8 ft

A₁ = π x 8²

A₁ = 201.088 ft²

Area of the bigger circle

A = πr₂²

Where;

r₂ is the radius of the bigger circle = 8 + 3 = 11 ft

A₂ = π x (11)²

A₂ = 380.18 ft²

Area of the path

A = A₂  - A₁

A = 380.182 ft²  -  201.088 ft²

A = 179.094 ft²

Thus, the approximate area of the path is 179 ft².

Learn more about area of circle here: https://brainly.com/question/12269818

List all the transformations for the following equation.

Answers

Answer:

flipped over the x-axis

horizontal shift left 7 units

vertical shift down 6 units

Step-by-step explanation:

A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.



Answers

A= 1/5

B= 2/15

i took the test

Answer:

A= 1/5

B= 2/15

Step-by-step explanation:

Evaluate the following: 16 + |(7)(-3) - 44| - 5

Answers

Answer:

76

Step-by-step explanation:

16 + |-21 - 44| - 5

16 + 65 - 5 = 76

Find the value of a, b, and c.
x2 – 5x – 14 = 0
Helpppp

Answers

Answer:

a = 1

b = -5

c = -14

Step-by-step explanation:

x² - 5x - 14 = 0

where,

a = 1

b = -5

c = -14

-TheUnknownScientist

Answer:

1

-5

-14

Step-by-step explanation:

hope it's helpful

I need help with this?

Answers

Answer:  1540

================================================

Explanation:

To get the LCM (lowest common multiple) of 8 and 10, we can multiply the two values together to get 8*10 = 80, then we divide by the GCF (greatest common factor) which is 2 to get to the LCM of 80/2 = 40.

While 80 is a common multiple of 8 and 10, it is not the smallest such value. That would be 40. So that's why we divided by 2.

Another route we can take is to list out the multiples of 8 and 10 like so

multiples of 8 = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...}multiples of 10 = {10, 20, 30, 40, 50, 60, 70, 80, ...}

as shown in bold above, the value 40 is in both lists and it is the smallest such common item.

So this tells us that the last two digits are 4 and 0 in that order.

--------------

The GCF of 30 and 75 is 15 since we can say

30 = 15*2

75 = 15*5

Note how the 2 and 5 have no other factors in common, other than 1. This helps us see how 15 is the largest shared factor. So the first two digits are 1 and 5 in that order.

Overall, the four digit code is 1540.

Sarah is filling 6 vases with water. Each vase will get of a liter of water. How many liters of water will be in the 6 vases? A. B. C. D.

Answers

Answer: 6 liters

Explanation:
The problem says “each vase get of a liter of water” that mean in each vase it contains only one liter of water, since there are 6 vase. You would multiple 6 by 1 to get 6 liters in 6 vases.

Options are:
CPCTC
Congruent
vertical angles are congruent
If alternate interior angles are congruent then lines are parallel

Answers

Answer:

1) because they are vertical angles

2) because SAS

3)  CPCTC

4) Converse of the Alternate Interior Angles

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414

How many who paid were adults?

How many who paid were seniors?

Answers

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

5

   

9

   

9

(

3

s

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

45

=

1506

33

s

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

5

=

 number of adults

3

(

47

)

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

6

=

282

136

9

=

1224

_____

 

1506

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

The table below shows some values of x=y-4 for values of x from -2 to 8

What is A, B and C please

Answers

Answer:

everything you need to know can be found in the picture

Find the perimeter of quadrilateral ABCD with vertices A=(1,1) B=(4,4) C=(7,1) D=(4,-2). Explain your answer.​

Answers

we have the coordinates of ABCD

there are 2 ways of doing this one is you find the distance of ab, bc, cd and da and then add the answers together. there is another way but i dont remember it properly so i am just gonna do it this way

distance between 2 point = [tex]\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

AB

[tex]d = \sqrt {(4 - 1)^2 + (4 - 1)^2}[/tex]

[tex]d = \sqrt {(3)^2 + (3)^2}[/tex]

[tex]d = \sqrt {9 + 9}[/tex]

[tex]d = \sqrt 18[/tex]

AB = 4.24

now repeat the same with all

BC= 4.24

CD= 4.24

DA= 4.24

so its a square with all the same sides so perimeter is 4 x 4.24

perimeter is 16.96

hope this helps

mark me as brainliest please

Which choice is equivalent to the product below?
√3x√5x√6
O A. 3√10
O B. 9√10
O C. 3√5
O D. 10√3

Answers

Answer:

D....................

Examine the sequence of integers below.
−16, −10, −4, 2, 8, 14
Which algebraic expression represents the nth integer in this sequence?
A.
6n − 16

B.
−6n − 10

C.
−6n + 2

D.
6n − 22

Answers

Answer: D

6n-22

Step-by-step explanation:

Bobby and Marie are running a lemonade stand.They spend $12 on all their materials and charge $1.50 for each cup of lemonade. If they sell 20 cups of lemonade, how much money would they make(or lose)?

Answers

Answer:

$18

Step-by-step explanation:

First you would multiply $1.50 by how many cups of lemonade they sell (20). Your answer for this would be $30. After that you want to subtract the $12 from the $30, because they spent $12 on materials. Then you get $18, which is your answer. Hope this helps :)

$30 is how much they made in total, 30-12= $18 which is their profit.

Find the area of the figure ​

Answers

Answer:

174.14 im not sure tho

Step-by-step explanation:

What is the range in math?
1 3 2 7 1 0 9

Answers

Answer:

9

Step-by-step explanation:

to find the range you must find the biggest number and the smallest number then subtract-

and in your case, the smallest number is 0 and the largest is 9

9-0

=9

**next time try using alcula.com, it'll save you the points**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

The volume of a sphere is . To the nearest ​, what is the radius of the​ sphere? Use 3.14 for π.

Answers

Use this link to find your answerhttp://ldh.la.gov//

What is the sum of the series below?
216,345
216,690
218,085
254,045

Answers

Answer:

C. 218,085

Step-by-step explanation:

edge quiz

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