Answer:
Step-by-step explanation:
Given
Required
The result in standard form
We have:
Remove brackets
Collect like terms
The standard form of a quadratic equation is:
So, we have:
Jessica packed 1-inch cubes into a box with a volume of 144 cubic inches how many layers of 1-inc cubes did Jessica pack
1 answer:
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In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as , the exponent n can be "distributed" as:
.
In our case, the power, n=11; a=7 and b=4. Thus, the expression , can be written as
.
Thus, out of the given options, option A is the correct option.
Answer:
Step-by-step explanation:
The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".
Let X the random variable who represent the courtship time (minutes).
From the problem we have the mean and the standard deviation for the random variable X.
So we can assume
On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:
• The probability of obtain values within one deviation from the mean is 0.68
• The probability of obtain values within two deviation's from the mean is 0.95
• The probability of obtain values within three deviation's from the mean is 0.997
So we need values such that
For this case we want to find this probability:
And we can find this probability on this way:
Since by the complement rule we have that:
And because for this case 62 is the mean.
So then we have this: