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Mrac [35]
3 years ago
12

When 10 is added to the number that is produced by doubling the number x, the result is equal to 5 times the number that is 7 le

ss that x. What is the value of x?
Mathematics
1 answer:
marta [7]3 years ago
8 0
10+2(x)=5(x-7)
10+2(x)=5(x)-35
35+10=5(x)-2(x)
45=3(x)
45/3=x
x=15
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Answer:

The correct option is (A).

Step-by-step explanation:

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The event of an milk chocolate M&M being orange is independent of the other candies.

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The expected value of a Binomial random variable is:

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It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}

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The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

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