Suppose that vehicles taking a particular freeway exit can turnright (R), turn left (L), or go straight (S). Consider observingthe direction for each of three successive vehicles.a. List all outcomes in the event A that all three vehicles go inthe same direction.
b. List all outcomes in the event B that all three vehicles takedifferent directions.
c. list all outcomes in the event C that exactly two of the threevehicles turn right.
d. List all outcomes in the event C that exactly two of the threevehicles turn right.
e. List outcomes in D', C U D, and C D
Answers
Answer:
a.) A= [RRR, LLL, SSS]
b.) B=[RLS, RSL, SRL, SLR, LRS, LSR]
c.) C=[RRL, RRS, RSR, RLR, SRR, LRR]
e.) D'= C' = [RRR, LLL, SSS, RLS, RSL, SRL, SLR, LRS, LSR, LLR, LLS, LSL, LRL, SLL, RLL, SSL, SSR, SLS, SRS, RSS, LSS]
Step-by-step explanation:
If three consecutive vehicles are considered with their direction as R, L and S, then
a.) when the three vehicles go in same direction, A= [RRR, LLL, SSS]
b.) When the three vehicles take the different direction, B=[RLS, RSL, SRL, SLR, LRS, LSR]
c.) when exactly two vehicles turn right, C=[RRL, RRS, RSR, RLR, SRR, LRR]
d.) repeated question of C above.
e.) D'= C' = [RRR, LLL, SSS, RLS, RSL, SRL, SLR, LRS, LSR, LLR, LLS, LSL, LRL, SLL, RLL, SSL, SSR, SLS, SRS, RSS, LSS]
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Answer:
The average ratio of 80cm and 40cm is 60cm
Step-by-step explanation:
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Answer:
2cm:1cm
Step-by-step explanation:
80cm:40cm then divide that by a number that they can both be divided by which is 40.
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Answer:
N=1
Step-by-step explanation:
Answers
Answer:
a. 20.5
Step-by-step explanation:
because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x
therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a
Answer:
The correct answer option is a. 20.5 feet.
Step-by-step explanation:
We are given that the angle of elevation of the ladder is 70° and the height of the ladder is 25 feet from the ground.
We are to find the distance of the building from the base of the ladder.
For this, we will use tan:
x = 20.5 feet
Answers
Answer:
406
Step-by-step explanation:
We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406
Answers
Answer:
- the hypotenuse side, c = 23.1 cm
- angle A = 41.26 ⁰
- angle B = 48.74 ⁰
Step-by-step explanation:
Given;
first leg of the right triangle, a = 15.21 cm
second leg of the right triangle, b = 17.34 cm
Angle C = 90 ⁰
The missing parameters;
- the hypotenuse side = c
- angle A
- angle B
Use Pythagoras theorem to calculate the missing side "c", which is the hypotenuse
c² = a² + b²
c² = (15.21)² + (17.34)²
c² = 532.02
c = √532.02
c = 23.1 cm
The missing angle A is calculated as;
The missing angle is calculated as;
B = 90⁰ - A
B = 90⁰ - 41.26⁰
B = 48.74⁰
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h(x)=\sqrt[\Large3]{2x-15}h(x)=
3
2x−15
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Write f(h(x))f(h(x))f, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of xxx.
f(h(x))=f(h(x))=f, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis, equals
Answers
2x - 21
......................