Answer:
Your annual expected value is -$550.
Step-by-step explanation:
0.002 probability that you will total your car.
If you total your car, you pay the insurance of $600, but you get the $25,000 insurance. So in total, the net value will be $24,400.
1-0.002 = 0.998 probability that you will not total your car.
In this case, you lose $600.
What is your annual expected value?
Multiply each net value by it's probability.
E = 0.002*24400 - 0.998*600 = -550
Your annual expected value is -$550.
The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.
<h3>How to Write a Linear Equation in Slope-Intercept Form?</h3>
The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:
- b = y-intercept (this is the point on the y-axis where the line intercepts).
- m = slope (this is the rise/run along the line = change in y / change in x).
Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.
Slope (m) = rise/run = 2 units/3 units
Slope (m) = 2/3.
The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.
Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:
y = 2/3x + 6
Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.
Learn more about the slope-intercept equation on:
brainly.com/question/1884491
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The answer, after simplifying is x^2+x
Answer:
angle B, angle A, angle C
Step-by-step explanation:
The shortest side length will be opposite the smallest angle, and the longest side length will be opposite the largest angle.
When the triangle is drawn and labeled, we see that AB is opposite angle C; BC is opposite angle A; and CA is opposite angle B.
Since the smallest side is AC, this means the smallest angle is angle B.
Since the middle length side is BC, the middle sized angle is A.
Since the longest side is AB, the largest angle is C.
This means the order from smallest to largest is B, A, C.
This is asking how many ways can we choose 13 songs from a set of 25.
The formula is:
n! / r! * (n -r)! =
25! / 13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 *13! divided by
13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 divided by
12* 11* 10* 9* 8* 7* 6* 5* 4* 3* 2*
which equals
<span>
<span>
<span>
2,490,952,020,480,000
</span>
</span>
</span>
divided by
<span>
<span>
<span>
479,001,600
</span>
</span>
</span>
and that equals
<span>
<span>
<span>
5,200,300
</span>
</span>
</span>
combinations
Here's a combination calculator to check your work:
http://www.1728.org/combinat.htm