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dimulka [17.4K]
3 years ago
9

What is the value of t in the equation 3(2t + 5) = 5t + 25?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0
<span>3(2t + 5) = 5t + 25
6t + 15 = 5t + 25
6t - 5t = 25 - 15
t = 10</span>
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Orange M&amp;M’s: The M&amp;M’s web site says that 20% of milk chocolate M&amp;M’s are orange. Let’s assume this is true and set
SOVA2 [1]

Answer:

The correct option is (A).

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Let <em>X</em> = number of orange  milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, <em>p</em> = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, <em>n</em> = 55.

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

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 55 and <em>p</em> = 0.20.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected number of orange  milk chocolate M&M’s in a bag of 55 candies as follows:

E(X)=np

         =55\times 0.20\\=11

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.

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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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This probability is quite larger than 0.05.

Thus, the correct option is (A).

4 0
3 years ago
F() = x2 + 1<br> g(x) = 5 - x<br> (f+g)(x) =
frutty [35]

Answer:

(f+g)(x) = x² - x + 6

Step-by-step explanation:

We can find (f+g)(x) by adding f(x) and g(x).

f(x) = x² + 1

g(x) = 5 - x

(f+g)(x) = f(x) + g(x)

(f+g)(x) = (x² + 1) + (5 - x)

(f+g)(x) = x² + 1 + 5 - x

(f+g)(x) = x² - x + 6

4 0
2 years ago
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