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
Answer:
x = -1
Step-by-step explanation:
1. Simplifying
6x + 4 = 4x + 2
2. Reorder the terms
4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x
3. Solving
4 + 6x = 2 + 4x
4. Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.
4 + 6x + -4x = 2 + 4x + -4x
5. Combine like terms: 6x + -4x = 2x
4 + 2x = 2 + 4x + -4x
6. Combine like terms: 4x + -4x = 0
4 + 2x = 2 + 0
4 + 2x = 2
7. Add '-4' to each side of the equation.
4 + -4 + 2x = 2 + -4
8. Combine like terms: 4 + -4 = 0
0 + 2x = 2 + -4
2x = 2 + -4
9. Combine like terms: 2 + -4 = -2
2x = -2
10. Divide each side by '2'.
x = -1
11. Simplifying
x = -1
Answer:
Cost = 17.08
Step-by-step explanation:
The cost is 4.88 per pound.
We buy 3.5 pounds
Cost = number of pounds * cost per pound
Cost = 3.5 * 4.88
Cost = 17.08
Answer:
25,200in²
Step-by-step explanation:
The architect wants to draw a room that has an area of 175 ft². We need to find this measurement in square inches.
<u>Square feet and square inches are different from feet and inches. </u>
We should know that a square foot is 144 square inches.
Multiply 175 * 144.
So the same architect wants to draw a room that should have an area of 25,200in².
<em>Brainilest Appreciated. </em>
Step-by-step explanation:
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