<h3>
Answer: Choice B</h3>
Matthew will score less than 27 points in about 0.15% of his basketball games.
=======================================================
Explanation:
mu = 33 = population mean
sigma = 2 = population standard deviation
Let's find the z score when x = 27
z = (x - mu)/sigma
z = (27-33)/2
z = -6/2
z = -3
A score of 27 points is exactly three standard deviation units below the mean of 33 points.
Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.
That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.
One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.
To get a more accurate answer, you can use a Z table to find that
which isn't too far off from the 0.15%
Answer:
The point slope form of this equation would be D) y - 8 = -3/7(x - 5)
Step-by-step explanation:
In order to find this, we simply plug in the information known into point-slope form, which is listed for you below.
y - y1 = m(x - x1)
y - 8 = -3/7(x - 5)
Answer:
the answer to your question is 0.037037037
Answer:
<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>
Step-by-step explanation:
To solve this problem we have to find the slope of each case. The definition of a slope is:
Where 
is the first point, and 
is the second point.
Let's find each slope.
<h3>Sam.</h3>
Let's use the points 
and 
Applying the definition of the slope, we have:
This relation means that Sam cycled 10 miles per hour.
<h3>Bobby.</h3>
Let's use the points 
and 
Bobby cycled 9 miles per hour.
Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.
Answer:
8.5 hrs
Step-by-step explanation:
-A 75th percentile mathematically means that 75% of the time data points are below that value and 25% of the time are above that value.
-We plot the given our data {3 12 2 3 5} to determine the 75th percentile
#We can use 
to plot our boxplot.
-From the plot, we find our 75th percentile to be 8.5 hrs
Hence, 75% of the time the number of hours spent to prepare was less than 8.5hrs.
