Answer:
The correct answer is 0.0330 and the events are independent.
Step-by-step explanation:
Total number of balls in Bill's golf bag = 17
Let A be the event of drawing a white ball and B be the event of drawing an orange ball.
Number of white balls Bill has in his bag is 9.
Probability of the event A in the first draw = 
Number of orange ball in Bill's bag is 1.
Probability of event B in the second draw = 
Thus total probability for Tim to tee off with a white ball and putt with an orange ball = 
= 0.0330
The above events are independent on each other.
Explanation:
a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.
__
b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.
__
c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.
_____
For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.
Answer:
a = - 4
Step-by-step explanation:
Given x = - 2 is a root then f(- 2) = 0
f(x) = x³ + x² + ax - 4, thus
f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is
f(- 2) = - 8 + 4 - 2a - 4 = 0, thus
- 8 - 2a = 0 ( add 8 to both sides )
- 2a = 8 ( divide both sides by - 2 )
a = - 4
Using the information given we will only need the Cosine and Sine equations. i made a diagram (cant take a picture, in my study hall) labeled the sides of the triangle A, B, and C. with C as the hypotenuse, A as the Opposite, and B as the adjacent (will not be needed as A is the height). i will be rounding the th nearest thousandth.
Using Sine (SIN=Opposite/Hypotenuse), we can find A.
SIN(33)=A/4.4
SIN(33)≈.545
.545≈A/4.4
now multiply each side by 4.4 to get rid of the division
(.545*4.4)≈((A/4.4)4.4)
2.396≈A
so the answer would be that the slide is about 2.396 M high
Answer:
d
Step-by-step explanation:
d
3x10
+ 4x1
+ 5x1/(10)
+ 7x1/(100)
+ 6×1/(1,000)
