Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left. Matias
1 answer:
Answer:
Matias divided 7.6 by 10 raised to the power of -2.
Step-by-step explanation:
Given : Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left.
To find : Matias divided 7.6 by 10 raised to the power of ?
Solution :
Matias preformed an operation with 7.6 and a number.
He ended up moving the decimal point in 7.6 two places to the left we have to multiply it with 0.01
i.e.
So, Matias divided 7.6 by 10 raised to the power of -2.
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The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:
Compute the probability that none of the LED light bulbs are defective as follows:
Thus, the probability that none of the LED light bulbs are defective is 0.7374.
Answer:
Step-by-step explanation:
Given
Required
The vertex
We have:
First, we express the equation as:
Where
So, we have:
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
Expand
Factorize
Factor out x - 1/2
Compare to:
Hence: