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marshall27 [118]
3 years ago
12

Vasily states that−6(5g−7h+9−10g)

Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

A. Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.

Step-by-step explanation:

Given the expression;

-6 (5g - 7h + 9 - 10g)

<em>Rearranging the above, we have;</em>

-6 (5g - 10g - 7h + 9)

<em>Simplifying, we have;</em>

-6 (-5g - 7h + 9)

<em>Multiply, to open the bracket;</em>

30g + 42h - 54

<em>Therefore, Vasily should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.  </em>

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You can solve using PEMDAS:

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A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects
Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0
3 years ago
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