Answer:
6.065; 7.358 ; 6.694
Step-by-step explanation:
Given that, profit is quoted using the function :
R = 2pe ^ -0.1p
(a)
When price 'p' = $5
R = 2(5)e^(-0.1*5)
R = 10e^(-0.5)
R = 10 * 0.6065306
R = 6.065
B)
When price 'p' = $10
R = 2(10)e^(-0.1*10)
R = 20e^(-1)
R = 20 * 0.3678794
R = 7.358
C.)
When price 'p' = $15
R = 2(15)e^(-0.1*15)
R = 30e^(-1.5)
R = 30 * 0.2231301
R = 6.694
Answer:
The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.
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:
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:
What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile
This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.
The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.
Answer:
<em>The slope is:</em>
Step-by-step explanation:
The slope m of a line is calculated using the following formula
Where the points and are two points belonging to the straight line
Notice in the graph that the line passes through the points
(0, 2) and (2, -1)
Then the slope is:
The slope of the parallel line is 3/4
<h3>How to determine the slope?</h3>
The equation is given as:
3x - 4y = 8
Rewrite as:
4y = 3x - 8
Divide through by 4
y = 3x/4 - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope
By comparison:
m = 3/4
Parallel lines have equal slope
Hence, the slope of the parallel line is 3/4
Read more about slope at:
brainly.com/question/3493733
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X would equal 9. Subtract 18 from both sides then divide by two to get 9 as X