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professor190 [17]
2 years ago
13

20 out of 50 rolls of a number cube resulted in a 2 being rolled.Based on this imformation, if the cube was rolled 220 times,how

many rolls of 2 would be expected
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer:

88 rolls of 2.

Step-by-step explanation:

By proportion that would be 220 * 20/50

= 220 * 0.4

=  88.

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A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

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Jim needs to run at least 45 miles this week for training, If he has already run 17 miles, how many miles should he
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Answer:

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Step-by-step explanation:

45 - 17 = 28 miles

28 : 4 = 7 miles

8 0
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I am half way between two consecutive numbers. The product of the two numbers is 650. what number am I ?
elena-14-01-66 [18.8K]

Answer: 325

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Nadusha1986 [10]
It should be C english :)
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fundraiser the least popular item was chips which they sold 21 bags of.The chips cost a total of $48.10 were the chips profitabl
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Answer:

yes,the chips were profitable.

Step-by-step explanation:

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