Answer:
The time at which they will all meet at a place together is 350 minutes
Step-by-step explanation:
The time it takes Faiza to cycle the park = 60 seconds
The time it takes Krish to cycle the park = 14 seconds
The time it takes Joe to cycle the park = 25 seconds
Therefore, the time they will all meet at a place together is given by their Lowest Common Multiple as follows;
LCM = 60 × 14 × 25 = 21,000 seconds
Therefore, the time at which they will all meet at a place together in minutes = 21000 seconds/(60)×minute/second = 350 minutes
Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
Answer:
z= 13
x= 36
y= 18
Step-by-step explanation:
Solving for z.
We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.
We can set both of those angles equal to each other, and solve for our missing side, z.
108= 8z+4
104=8z
z= 13
Solving for x.
We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.
We can set both of these angles equal to each other, and solve for our missing side, x.
3x=108
x= 36
Solve for y.
We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.
4y+108=180
4y= 72
y= 18
Answer: 1300 pounds
Step-by-step explanation:
2000 x 0.65= 1300
In a standard deck of 52 cards, there are four 8's and four queens. The probability of picking an eight is 4/52 or 1/13. Furthermore, the probability of picking a queen from the deck is also 1/13. Since the problem asked for the probability of picking either eight or queen, add the probability of picking queen and eight. The addition gives 2/13.
Thus, the answer is 2/13.
