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3 years ago

Simplify this God please

Mathematics

2 answers:

Kaylis [27]3 years ago

8 0

Answer: See below

Step-by-step explanation:

My old math notebook had simillar question,hope that help

√75a+√12a-√27a/√3a

=√a(3*25)+√a(3*4)+√a(3*9)/√3a

=√25*√3a+√4*√3a+√9*√3a/√3a

=(5+2+3)√3a/√3a

=5+2+3=10

BabaBlast [244]3 years ago

6 0

Answer:

Step-by-step explanation:

$\frac{ \sqrt{75a} + \sqrt{12a} + \sqrt{27a} }{ \sqrt{3a} } \\ \frac{ \sqrt{(25 \times 3)a} + \sqrt{(4 \times 3)a} + \sqrt{(9 \times 3)a} }{ \sqrt{3a} } \\ \frac{ 5\sqrt{3a} + 2 \sqrt{3a} + 3\sqrt{3a} }{ \sqrt{3a} } \\ \frac{(5 + 2 + 3) \sqrt{3a} }{ \sqrt{3a} } = 10$

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3 years ago

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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.95. Assuming indep

Gre4nikov [31]

Answer:

a) There is a 99.99997% probability that at least one valve opens.

b) There is a 22.62% probability that at least one valve fails to open.

Step-by-step explanation:

For each valve, there are only two possible outcomes. Either it open, or it does not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

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(a) What is the probability that at least one valve opens?

Either no valves open, or at least one opens. The sum of the probabilities of these events is decimal 1. So

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There is a 99.99997% probability that at least one valve opens.

(b) What is the probability that at least one valve fails to open?

Either all valves open, or at least one does not open. The sum of the probabilities of these events is decimal 1. So

$P(X = 5) + P(X \leq 4) = 1$

We want $P(X \leq 4)$

$P(X \leq 4) = 1 - P(X = 5)$

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There is a 22.62% probability that at least one valve fails to open.

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3 years ago

John Gray brought a basic car for $8,250.00, with options that cost $324.00. There's a 6% sales tax in his state and a combined

dybincka [34]

Cost of basic car = $8250
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Total cost of basic car and optional items for John= (8250 + 324) dollars
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Amount of sales tax = 8574 * (6/100) dollars
 = 514.44 dollars
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 = 9138.44 dollars
$9,138.44 is the correct option in regards to the question given.

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3 years ago

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Simplify this God please​

Simplify this God please