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igor_vitrenko [27]
3 years ago
15

A theater has 49 seats in the first row 52 seats in the second row 55 seats in the third row how many seats are in the 16th row

Mathematics
1 answer:
devlian [24]3 years ago
3 0

Answer:

94 seats

Step-by-step explanation:

We solve using Arithmetic sequence formula

an = a + (n + 1)d

Where

a = First term = 49

d = Common difference = 52 - 49 or 55 - 52 = 3

n = 16th row

Hence,

a16 = 49 + (16 - 1)3

a16 = 49 + (15 × 3)

a16 = 49 + 45

a16 = 94

Therefore, the number of seats on the 16th row is 94 seats

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A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
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Answer: 68

Step-by-step explanation:

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As per given , we have

p=\dfrac{1}{5}=0.2

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Required sample size  :n=(0.2)(1-0.2)(\dfrac{(1.645)}{0.08})^2

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3 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
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Answer: a. The system that models this situation is,

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Step-by-step explanation:

Let x quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

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we get, x = 2

Thus, he mixed 2 lb of mixture 80/20  and 4 lb of mixture 50/50 for making 6 lb of 50/50 mixture.


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