Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:
What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So
has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
The volume is 33.5mm^3 (or cubed)
Formula : v = 4/3πr^3 or v = 4 x 3.14 x (r x r x r) <span>÷ 3
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~ 2 x 2 x 2 = 8 (we use 2 because the radius is half of the diameter)
v = 4 x 3.14 x 8 <span>÷ 3 a. Multiply everything together
v = 100.48 </span><span>÷ 3 b. Divide by 3</span><span>
v = 33.493 c. Round (if needed)
</span>v = 33.5
1.43 x 10^7. Scientific notation moves the decimal to express the answer in a single whole digit. The exponent becomes 10^7, because you moved the decimal one place to the left, so you add 1 to your original exponent of 10^6.
<span>Given Equation => g(x) = 2x – 1
Now, the problem is we need to find the domain of g.
I believe that all domain are real numbers. Thus, let’s start finding the
domain of g
Let’s try -1 as the value of x
=> g(x) = 2x – 1
=> g (-1) = 2 (-1) -1
=> g (-1) = -2 -1
=> g (-1) = -3
Therefore, if the value of x is -1, the domain value of g(x) is -3
Let’s try 2 as value of x
=>=> g(x) = 2x – 1
=> g (2) = 2 (2) -1
=> g (2) = 4 -1
=> g (2) = 3
Therefore, if the value of x is 2, the domain value of g(x) is 2
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