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Vitek1552 [10]
3 years ago
13

Determine whether the ordered pair(3/4,1/28) is a Solution of the system x+ 7y=1 and 5x+7y=4

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0

Answer:

no

Step-by-step explanation:

beacuse this asnwer has no solution

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Insert two geometric means between 729 and 64​
Liula [17]

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = \frac{64}{729} ( take the cube root of both sides )

r = \sqrt[3]{\frac{64}{729} } = \frac{4}{9} , then

a₂ = 729 × \frac{4}{9} = 81 × 4 = 324

a₃ = 324 × \frac{4}{9} = 36 × 4 = 144

Thus

729, 324, 144, 64

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Answer:

The answer is b.

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One day, eleven babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probab
Andrews [41]
You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1.  This will give probability that any other number up to 9 of the babies are girls.

Use binomial theorem.
P(x=k) = (nCk) p^k (1-p)^{n-k}

n = 11
k = 10,11
p = 1/2

P(x=10) = 11 (\frac{1}{2})^{11} = \frac{11}{2048} \\  \\ P(x=11) = 1(\frac{1}{2})^{11} = \frac{1}{2048} \\  \\ P(x \leq 9) = 1 - \frac{11}{2048} - \frac{1}{2048} \\  \\ P(x \leq 9)=\frac{2036}{2048} = \frac{509}{512}
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Answer:

1.6 hours

Step-by-step explanation:

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The answer is Energy cannot be created nor destroyed, but it changes from one form to another.

Step-by-step explanation:

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