Answer:
0.0668 = 6.68% probability that the worker earns more than $8.00
Step-by-step explanation:
When the distribution is normal, we use 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 average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.
This means that ![\mu = 7.25, \sigma = 0.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%207.25%2C%20%5Csigma%20%3D%200.5)
If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?
This is 1 subtracted by the pvalue of Z when X = 8. 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{8 - 7.25}{0.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B8%20-%207.25%7D%7B0.5%7D)
![Z = 1.5](https://tex.z-dn.net/?f=Z%20%3D%201.5)
has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% probability that the worker earns more than $8.00
Answer:
535.9 ft²
Step-by-step explanation:
Since there are 360° in a circle, and 240° is 2/3 of 360°, we can say that the area of the bolded sector is <em>2/3 the area of the whole circle</em>. The area of a circle with a radius of r is πr², or approximately 3.14r², so the area of the whole circle is ≈ 3.14(16)² = 3.14(256) = 803.84 ft². Taking 2/3 of this gets us 803.84 * (2/3) ≈ 535.9 ft²
Answer:
2.3 dollars
Step-by-step explanation:
Given:
Ratio table that shows the costs for different amounts of bird seed
To find: the unit rate in dollars per pound
Solution:
Amount (pounds) 5 10 15 20
Cost (dollars) 11.5 23 34.50 46
Here,
![\frac{5}{11.5}=\frac{50}{115}=\frac{10}{23}\\\\\frac{10}{23}=\frac{10}{23}\\\\\frac{15}{34.50}=\frac{1500}{3450}=\frac{150}{345}=\frac{30}{69}=\frac{10}{23}\\\\\frac{20}{46}=\frac{10}{23}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B11.5%7D%3D%5Cfrac%7B50%7D%7B115%7D%3D%5Cfrac%7B10%7D%7B23%7D%5C%5C%5C%5C%5Cfrac%7B10%7D%7B23%7D%3D%5Cfrac%7B10%7D%7B23%7D%5C%5C%5C%5C%5Cfrac%7B15%7D%7B34.50%7D%3D%5Cfrac%7B1500%7D%7B3450%7D%3D%5Cfrac%7B150%7D%7B345%7D%3D%5Cfrac%7B30%7D%7B69%7D%3D%5Cfrac%7B10%7D%7B23%7D%5C%5C%5C%5C%5Cfrac%7B20%7D%7B46%7D%3D%5Cfrac%7B10%7D%7B23%7D)
Therefore,
![\frac{5}{11.5}=\frac{10}{23}=\frac{15}{34.50}=\frac{20}{46}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B11.5%7D%3D%5Cfrac%7B10%7D%7B23%7D%3D%5Cfrac%7B15%7D%7B34.50%7D%3D%5Cfrac%7B20%7D%7B46%7D)
Cost of 10 pounds = 23 dollars
So, cost of 1 pound =
dollars