Answer:
x-intercept= (3⅓, 0)
y-intercept= (0, 4²⁄₇)
Please see the attached picture for the graph.
Step-by-step explanation:
-9x -7y= -30
Let's simplify the equation by dividing both sides by -1.
9x +7y= 30
x- intercept occurs at y= 0.
When y= 0,
9x +7(0)= 30
9x= 30
x= 30 ÷9
Thus, x- intercept occurs at (3⅓, 0).
y-intercept occurs at x= 0.
When x= 0,
9(0) +7y= 30
7y= 30
y= 30 ÷7
Thus, y- intercept occurs at (0, 4²⁄₇).
_____
To graph the equation, draw the x and y axis on a graph paper. Use an appropriate scale to divide the line into equal parts. Next, plot the points (3⅓, 0) and (0, 4²⁄₇). Then, join the two points with a straight line.
Notes:
- x- intercept is the point at which the graph cuts through the x- axis. In this case, your x- axis is the horizontal line that runs from left to right of your graph paper. In order for a point to be on this horizontal line, look at the y- axis and notice that it sits at y= 0. The same reason applies for why the y- intercept occurs at x= 0. This has to do with the two axis cutting each other at the point (0,0), resulting in the x and y coordinates of 0 for the y and x intercepts respectively.
- Simplifying the equation in the first step is not necessary, but it is a good practice and might reduce carelessness.
Answer:
Step-by-step explanation:
Given:
This reads as: 256 to the power of "-4 to the power of 3/2".
Therefore, we need to deal with the "-4 to the power of 3/2" first.
Rewrite the 4 as 2²:
Therefore:
Replace "-4 to the power of 3/2" with -8 :
Rewrite 256 as 2⁸ :
In one complete calculation:
Learn more about exponent rules here:
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Formula:
Minimum = first element of set
First Quartile = (n+1)/4
Median = (n+1)/2
Third Quartile = 3(n+1)/4
Maximum = Last element of set.
Solution:<span>
The five number summary of ( 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67) is,
Minimum = 58
First Quartile = 70
Median: = 83.5
Third Quartile = 90
Maximum = 102</span>
Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
38/244= about 0.16
24/943= about 0.03
653/53= about 12.32
All answers are rounded
