Answer:
6
Step-by-step explanation:
Draw line segments ST and RQ. Triangle RUQ and SUT are similar, because they are in a circle. Now, you use similar triangles to get that QU/UT=RU/SU so 2 = 12/SU so SU = 6, or y = 6.
Note: This is generealized by the Power of a Point, which states that if you have two chords that intersect, then you can do the same thing and it will show that QU*SU=RU*TU. (You can change the variables but the similar triangles stay the same).
Let the number of Go-go scooter to be produced be x and that of Whip scooter y, then
Maximize: R = 3200x + 5000y
subject to:
x + y ≤ 120
3x + 6y ≤ 600
The corner points of the constraints are (0, 0), (0, 100), (40, 80), (120, 0)
For (0, 0): R = 0
For (0, 100): R = 3200(0) + 5000(100) = 500,000
For (40, 80): R = 3200(40) + 5000(80) = 528,000
For (120, 0): R = 3200(120) + 5000(0) = 384,000
Therefore, for maximum revenue, they should produce 40 Go-go scooters and 80 Whip scooters.
Answer:
Cricket match toss and playing cards
Step-by-step explanation:
Example 1: Cricket match toss
<em>There are two teams in a cricket match. Each team's captain comes forward for the toss. There are 2 sides of the coin; head an tail. Each captain has an equal chance of either getting a head or a tail.</em>
Total number = 2
Chances of head/tail = 1
Therefore the probability for each captain of either getting a head or a tail is 1/2.
Example 2: Playing cards
<em>A deck of cards has 52 cards. There are total 26 black cards and 26 red cards out of which there are 13 clubs, 13 spades, 13 hearts and 13 diamonds. Each category has a King, Queen, Jack, Ace, 2, 3, 4, 5, 6, 7, 8, 9 and 10 card.</em>
Total number of cards: 52
Total number of 10 of spades: 1
The probability of getting a 10 of spades will be 1/52.
!!
Answer:
y=(1/9)x+4
Step-by-step explanation:
x=3b
b=(1/3)x
y=2/6(1/3)x+4
y=(2/18)x+4
y=(1/9)x+4
By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.
In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.
An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.
