Answer:
And we can find this probability with the complement rule:
Step-by-step explanation:
For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:
And for this case the probability density function is given by:
And the cumulative distribution function is given by:
And we want to find this probability:
And we can find this probability with the complement rule:
Answer: Length = 15, Width = 12
Step-by-step explanation:
L = length
W = width
L = W+ 3
perimeter = 2L + 2W
54 = 2(W+3) + 2W
54 = 2W + 6 + 2W
54 = 4W + 6
54 - 6 = 4W
48 = 4W
W = 
W = 12
now to find the length, plug the width into the equation L = W + 3
length:
L = W+3
L=12 +3
L = 15
Answer:
An angle can be named in different ways:
•by a number or letter written inside the angle.
•by the name of the vertex.
•by the vertex and a point on each ray.
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation:
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
