The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a standard deviation of 10. Approximately what percentage of buckets contain between 1600 and 1620 pieces of popcorn?

Approximately 68%
Approximately 75%
Approximately 95%
Approximately 99.7%

Answer:

10

Step-by-step explanation:

Answer:

x = -8/3 and y = -49/3

Step-by-step explanation:

(Step 1) To solve using substitution, you first need to isolate a variable in one of these equations. I chose to isolate "y" in the following equation.

-8x + y = 5                                        <--- Original equation

y = 5 + 8x                                         <--- Add 8x to both sides

(Step 2) Now, substitute (5 + 8x) for "y" in the second equation.

5x - y = 3                                          <--- Original equation

5x - (5 + 8x) = 3                               <--- Substitute 5 + 8x for "y"

5x - 5 - 8x = 3                                  <--- Distribute (-) in the parentheses

-3x - 5 = 3                                        <--- Combine terms with "x"

-3x = 8                                              <--- Add 5 to both sides

x = -8/3                                             <--- Divide both sides by -3

(Step 3) Since you know the value of "x", plug it into one of the equations to solve for "y".

y = 5 + 8x                                         <--- Original (rearranged) equation

y = 5 + 8(-8/3)                                   <--- Plug (-8/3) for "x"

y = 5 - 64/3                                       <--- Multiply

y = 15/3 - 64/3                                   <--- Convert 5 into a fraction

y = -49/3                                           <--- Subtract

(Step 3.5) You can check your work by plugging "y" into the other equation to see if the answer for "x" is the same.

5x - y = 3                                             <--- Original equation

5(-8/3) - y = 3                                      <--- Plug (-8/3) for "x"

-40/3 - y = 3                                        <--- Multiply

-40/3 - y = 9/3                                     <--- Convert 3 into a fraction

-49/3 - y = 0                                        <--- Subtract both sides by 9/3

-49/3 = y                                             <--- Add both sides by "y"

The value of the system of equations is x = -8/3 and y = -49/3.

Answer:

  11126

Step-by-step explanation:

The mean of a set of data is another name for its average. It is the sum of the data, divided by the number of numbers in the sum.

__

If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.

The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.

  (1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F

The mean of the data is 1126 °F.

Answer:

1 - True

2 - False

3 - False

4 - True

Step-by-step explanation:

N/A

Answer:

Both prisms have the same volume.

Step-by-step explanation:

Volume of Naomi's Prism:

5 x 2 x 14 = 140[tex]cm^3[/tex]

Volume of Ben's Prism:

(5 x 4) / 2 x 14 = 10 x 14 = 140[tex]cm^3[/tex]

They therefore have the same volume.

Answer: 4

Step-by-step explanation:

first put 2 fingers up

then with the other hand put 2 more fingers up

then count and you get 4

or you could use a calculator

Answer:

0

This is because for a number to be divisible by 9 all the digits should add up to a number divisible by 9. Since they already do you just put a 0.

Answer:

720

Step-by-step explanation:

1 yard = 36 inches

20*36

720

Answer:

four, 12 will be left

Step-by-step explanation:

120/27 equals 4; the remainder (“left over”) is 12

Answer:

4 per student, 12 remaining

Step-by-step explanation:

4x30=120

120/27=4.44

27x4=108

120-108=12

Answer: 35

Step-by-step explanation: substitute 20 into n,

2(20)-5

40-5

35

Answer:

Write and solve a proportion to answer the question.

34 is 75% of what number?

34w= 12/16

w= what?

Can anyone please

Step-by-step explanation:

Answer:

45.33

Step-by-step explanation:

Answer:

the hieght is 9

Step-by-step explanation:

divide 162 by 6 and you should get 27 then divide 27 by 3

to check your answer multiply 9x6x3 and you are done!!!

Answer:

4 and 6

Step-by-step explanation:

10 and 8 leave a remainder so can't be equal number of booklet

Answer:

b+6>-27

Step-by-step explanation:

b

b+6

Answer=b+6>-27

Answer:

-6 < x [tex]\leq[/tex] 6

Step-by-step explanation:

-5 < [tex]\frac{x-4}{2}[/tex] [tex]\leq[/tex] 1

Multiply all the sides by 2

-10 < x-4 [tex]\leq[/tex] 2

Add 4 to all the sides

-6 < x [tex]\leq[/tex] 6

Answer:

-6 < x < 6

Step-by-step explanation:

either way its still higher than -5 and lower than 1

Answer:

the answer is a, Charles Ives

The probability that the store manager selects 2 comedies and 1 action movie is 96/3375.

Given that,

A video rental store keeps a list of its top 15 movie rentals each week.

Total = 15

Action movies = 6

Comedies = 4

When she selected three movies,

Probability of selecting an action movie = 6/15

Probability of selecting a comedy movie = 4/15

Probability of selecting one action and 2 comedies = 6/15 × (4/15)²

                                                                                      = 96/3375

Hence the required probability is 96/3375.

Learn more about Probability here :

https://brainly.com/question/29172652

#SPJ2

Answer:

6 Kilometers.

Step-by-step explanation:

Try not to overthink these questions! They are easy if you just think of them in simple terms!

6 km * 3 h = 18 km

4 km * 3 h = 12 km

18 km - 12 km = 6 km.

Answer:

1 is c

2 is a

3 is a

Step-by-step explanation:

just solved them

Answer:

All of the above

Step-by-step explanation:

I'm not sure, but if you divide the number of people by each candidate, you'll get a value that the number of candidates will equal the number of people. I repeat I'm not sure of my answer.

Answer:

1, 1, 17

Step-by-step explanation:

17 is a prime number. This means the only factors are 1, and 17. This means that since only 17, and 1 multiply to 17, to get a volume of 17 you can only use 1, and 17 (1, 1, and 17)

Answer:

1, 4 or 7

Step-by-step explanation:

The divisibility rule/shortcut for 3 is that the sum of its digits is divisible by 3. So, you currently have 29 (7+1+7+6+2+6+0), and you have to make that number divisible by 3.

adding 1 gets you 30, which we know is divisible by 3.

then, instead of trying every digit, we can note that

30 , 33 , 36 , 39 ....

are divisible by 3.

But the most we can add to the sum of 29 is 9 (because that is the highest digit possible)--so numbers above 38 are irrelevant

so, we want to find out if we can make 29 into 30, 33, or 36

adding 1 to 29 = 30

adding 4 to 29 = 33

adding 7 to 29 = 36

So, by making the first digit 1 , 4 , or 7, you make the number divisible by 3 (making the sentence true)

Answer:

His brother gets 8 apples

His friends gets 4 apples

He gets 12 apples

Step-by-step explanation:

brother: friend himself::total

2                1          3        2+1+3 = 6

He has a total of 24 apples

24/6 = 4

Multiply each term by 4

brother: friend himself::total

2*4           1*4        3*4        6*4

8                4          12           24

His brother gets 8 apples

His friends gets 4 apples

He gets 12 apples

Answer:

5 2/3 divided by 2 2/3 = 17/3 divided by 8/3 = 17/8 = 2 1/8 miles per hour

2 2/3 divided by 5 2/3 = 8/3 divided by 17/3 = 8/17 hours per mile

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

-3 -1 +2 +8 = -4+10 = 6