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madam [21]
3 years ago
8

Which is the best but?

Mathematics
2 answers:
garri49 [273]3 years ago
4 0
12.60 / 7 = $ 1.80 per bottle
10.98 / 6 = $ 1.83 per bottle
18.10 / 10 = $ 1.81 per bottle
16.38 / 9 = $ 1.82 per bottle

best buy (cheapest) is : $ 12.60 for 7 bottles <==
meriva3 years ago
4 0

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

$12.60 for 7 bottles of juice.

then, cost of each bottle of juice would be

\dfrac{12.60}{7}=\$1.8

$10.98 for 6 bottles of juice.

then, cost of each bottle of juice would be

\dfrac{10.98}{6}=\$1.83

$18.10 for 10 bottles of juice.

then, cost of each bottle of juice would be

\dfrac{18.10}{10}=\$1.81

$16.38 for 9 bottles of juice.

then, cost of each bottle of juice would be

\dfrac{16.38}{9}=\$1.82

Hence, $12.60 for 7 bottles of juice is the best buy as it is the cheapest one.

Therefore, First option is correct.

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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.

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Step-by-step explanation:

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