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3 years ago

Which fraction us equal to 2/3 : 4/7 8/12 6/9

1 answer:

3 0

$\frac{4}{7} = \frac{4}{7}$

$\frac{8}{12} = \frac{8}{12}$ ÷ $\frac{4}{4} = \frac{8/4}{12/4} = \frac{2}{3}$

$\frac{6}{9} = \frac{6}{9}$ ÷ $\frac{3}{3} = \frac{6/3}{9/3} = \frac{2}{3}$

The answer is 8/12 and 6/9

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Nineteen more than a number is less than 42

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3 years ago

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3 years ago

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 X denote the number of green candies.

The probability of green candies is, p = 0.20.

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

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 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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3 years ago

If QRST is a rectangle with QT = 30 and RS = 4x + 10, find x.

ArbitrLikvidat [17]

The opposite side pairs in a rectangle are congruent, so basically QT would be congruent to RS when you draw the rectangle and label the points.
4x+10=30
4x=20
x=5

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3 years ago

the sum of the first four terms of an A.p is 62.if the difference between 4 terms and 2nd terms is 14. find the first term and c

Oksana_A [137]

Answer:

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Step-by-step explanation:

I got the answer off of khan academy

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2 years ago