60 is ten times as much as 'x' .
60 = 10x
Divide each side by 10: <em>6 = x</em>
<u><em>60 is ten times as much as 6 .</em></u>
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60 is 1/10 as much as 'z' .
60 = 1/10 z
Multiply each side by 10: <em>600 = z</em>
<em><u>60 is 1/10 of 600 </u></em>.
Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the withdrawals of a population, and for this case we know the following info
and
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean is given by:
We can find the probability of interest like this:
And using a calculator, excel or the normal standard table we have that:
W = 10 ft; l = 50 ft is Correct
w = 90 ft; l = 30 ft is Correct
w = 50 ft; l = 40 ft is Correct
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
Answer:
-822
Step-by-step explanation:
Let's make an equation (explicit of course)
3 - 14 = -11
d = -11
Now we are ready to make an equation!
f(n) = x first term + d(n-1)
=
f(n) = 14 - 11(n-1)
Let's substitute 77 for n!
f(77) = 14 - 11(77-1)
f(77) = 14 - 11(76)
=
14 - 836 = -822