A spinner and 6 cards are shown below: A spinner with 3 equal sectors is shown in the figure. The colors Green, Blue, and Red are marked on it. The arrow points at the green color. Six cards are shown on the right side. The colors Purple, Green, Red, Yellow, Blue, and Pink are marked on them. Jordan spins the spinner and picks up a card without looking. What is the probability that the spinner stops at green and a yellow card is selected? 1 over 36 1 over 18 1 over 6 1 over 3
Answers
P(A and B)=P(A)*P(B)
where P(A) is the probability of event A happening, P(B) is the probability of event B happening, and P(A and B) is the probability of both happening.
For this problem, let's say that event A is the probability that the spinner stops at the green color. Since the spinner has 3 colors and they have equal area (sector) occupied in the circle, each color has the same chance, 1/3 chance of being picked. Thus, there's a 1/3 chance of the spinner stopping at the green color so P(A)=1/3.
Event B is the probability of Jordan picking up the yellow card. There are six possible colors to pick and since Jordan picked up the card without peeking, each color has an equal chance to be picked. Thus, there's a 1/6 chance that the yellow card will be selected so P(B)=1/6.
Using the formula, we can then calculate P(A and B), the probability that the spinner stops at green and a yellow card is selected:
P(A and B)=P(A)*P(B)=1/3*1/6=1/18
Answer: the answer is 1/18, got it right on the test
Related Questions
6 [ 4 × ( 72 - 63 ) ÷ 3 ]
Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problema.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions. b.6x+10y>=120 (5,9),(10,6),and(15,3)are three possible solutions. c.6x-10y<120 (5,5),(10,10),and(15,15)are three possible solutions. d.7x+5y<=140 (7,21),(14,14),and(21,7)are three possible solutions. I think it's a.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions. please correct me if I'm wrong. I think it's between B and d. is it D
Convert y=x squared +64x + 12 into graphing form
Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros? The equation has one zero because the discriminant is 1. The equation has one zero because the discriminant is a perfect square. The equation has two zeros because the discriminant is greater than 0. The equation has no zeros because the discriminant is not a perfect square.
-3m - n
3m - n
-3m - 3n
3m - 3n
Answers
2m - n + (m - 2n)
2m - n + m - 2n
2m + m - n - 2n
3m - 3n
Answer is D.
cot (–270°) = 1
cot (–270°) = –1
cot (–270°) = 0
undefined
Answers
Answer:
cot(-270) = 0
Step-by-step explanation:
given cot ( -270)
In trigonometry function we will use cot ( -x) = -cotx
so cot (-270) = - cot270
trigonometry table
II quadrant I quadrant ( All positive)
sin θ 90+θ 90 -θ
cosec θ 180-θ 360+θ
third quadrant fourth quadrant
tan θ 180+θ cos θ 270+θ
cot θ 270 - θ sec θ 360-θ
Given
cot (-270) = -cot ( 270)
= - cot ( 180 + 90) (third quadrant above table)
= -cot 90 =0 ( cot θ positive in third quadrant
Final answer:-
cot(-270) =0
Final answer:
The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.
Explanation:
To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.
At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.
Learn more about Cotangent Function here:
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Answers
Measures of the interior angles will be found as below.
What are Interior Angles and Exterior Angles of a Triangle?
Interior angles of a triangle is the three angles formed inside the triangle by its sides.
Exterior angles of a triangle is the three angles formed by extending the sides
Given that triangle has an exterior angle with a measure of 120°.
Let a, b and c be the interior angles of the given triangle.
The sum of the exterior angle and the corresponding interior angle is 180°.
Let a be the corresponding interior angle.
a + 120 = 180
a = 180 - 120
a = 60°
One of the interior angles is 60°.
Sum of the interior angles of a triangle is 180°.
Then a + b + c = 180
b + c = 120
If the triangle is equilateral, then all the angles will be 60°.
If it is right angle, angles will be 30° and 60°.
Hence the interior angles can be found as above.
Learn more about Interior Angles here :
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This is not a possible angle for a triangle because the angles in a triangle always add up to 180 degrees. Also, angles in triangles can’t be more than 180 degrees
Answers
15% of $43.89 = 15% * 43.89 = 15/100 * 43.89 = $6.5835 = $6.58
$43.89 - $6.58 = $37.31
5% of $37.31 = 5% * 37.31 = 5/100 * 37.31 = $1.8655 = $1.87
$37.31 - $1.87 = $35.44
The correct result would be $35.44.
Answer: C 80.75%
Step-by-step explanation:
Answers
Answers
Answer:
Step-by-step explanation:
The above answers are for total area. They belong to the lesson called Solid's: Pyramids. They are in order so find each T.A question and input the answer accordingly.