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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 5.43, \sigma = 0.54](https://tex.z-dn.net/?f=%5Cmu%20%3D%205.43%2C%20%5Csigma%20%3D%200.54)
What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{5.79 - 5.43}{0.54}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B5.79%20-%205.43%7D%7B0.54%7D)
![Z = 0.67](https://tex.z-dn.net/?f=Z%20%3D%200.67)
has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
<span>Volume of the pyramid = (1/3) * base area * height
Base area = 230</span>² = 52,900 m²
<span>Volume of the pyramid = (1/3) * 52,900 * 138 = 2,433,400 m</span>³
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
Answer:
Answer: C.
Restaurants: 43%
Retail: 57%
Step-by-step explanation:
Answer:
x=1/3 or 0.3
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.