Answer:
25.10% probability that the spending is between 46 and 49.56 dollars
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
![\mu = 47.67, \sigma = 5.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2047.67%2C%20%5Csigma%20%3D%205.5)
What is the probability that the spending is between 46 and 49.56 dollars?
This is the pvalue of Z when X = 49.56 subtracted by the pvalue of Z when X = 46. So
X = 49.56
![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{49.56 - 47.67}{5.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B49.56%20-%2047.67%7D%7B5.5%7D)
![Z = 0.34](https://tex.z-dn.net/?f=Z%20%3D%200.34)
has a pvalue of 0.6331
X = 46
![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{46 - 47.67}{5.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B46%20-%2047.67%7D%7B5.5%7D)
![Z = -0.3](https://tex.z-dn.net/?f=Z%20%3D%20-0.3)
has a pvalue of 0.3821
0.6331 - 0.3821 = 0.2510
25.10% probability that the spending is between 46 and 49.56 dollars
Answer:
3 Quadrant
2 Quadrant
4 Quadrant
They are Collinear.
Please Mark As Brain list
The grade of a road is the slope of a road. In the U.S., grade is often expressed as a percent by finding the product 100(slope). Approximate the grade of a road that has a rise of 950 ft over 3 mi is :
A. 3%
Answer:
D 28 inches
Step-by-step explanation:
mean : average
So to find the mean add all of the numbers in April and divide by the total number of different heights there were:
(12+15+23+11+12+19+20+12+11+14+12+13) ÷ 12 = 14.5
Do the same for the heights in June:
(42+45+44+39+45+45+40+43+41+40+45+41) ÷ 12 = 42.5
Then subtract the means to find the difference:
14.5 - 42.5 = -28
Since its a real world problem the answer can’t be negative
Therefore the answer is D 28 inches
The formula is right there in the question. Just write '16' in place of 'b' and write '5' in place of 'h', then do the multiplication and you have the area. / / / If you don't get 40 square mm then you have a mistake somewhere.