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Alina [70]
2 years ago
15

1/6*1/6 divided by 1/6

Mathematics
2 answers:
vovikov84 [41]2 years ago
5 0

Answer:

1/6 simplified

Step-by-step explanation:

First, we have to multiply 1/6 x 1/6

We multiply both the numerators and the denominators together to get the first step answer

We multiply 1 x 1 in the numerator which stays as 1

When we multiply 6 x 6 in the denominator we get 36

So we get 1/36 when we do the first step

Now we have to divide 1/36 by 1/6

When you are dividing, you always use the rule, “keep, change, flip”

Keep the first number 1/36

Change the sign from division to multiplication

And flip the the 1/6 to 6/1 or 6 so you have the reciprocal.

Now we have the equation 1/36 x 6/1 which we use the get our final answer

Multiply 1 x 6 in the numerator to get 6 as your numerator

Multiply 36 x 1 in the denominator to get 36 as your denomintor

So your answer is 6/36 but this can be simplified to 1/6

Hope this helped and please award brainliest if possible!

DerKrebs [107]2 years ago
3 0

Answer:

1/6

Step-by-step explanation:

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4 years ago
Mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?
katrin [286]

Answer:

Step-by-step explanation:

Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but

4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

2010000

So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

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3 years ago
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3 years ago
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

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

p = 0.95, n = 5

(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

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

So

P(X \geq 1) = 1 - P(X = 0)

P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} = 0.0000003

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000003 = 0.9999997

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)

So

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

P(X = 5) = C_{5,5}.(0.95)^{5}.(0.05)^{0} = 0.7738

P(X \leq 4) = 1 - P(X = 5) = 1 - 0.7738 = 0.2262

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

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3 years ago
WORTH 20 POINTS PLS HELP!
scZoUnD [109]

Answer:80ft

Step-by-step explanation:

4 0
3 years ago
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