The probability of getting heads while flipping a coin for three times is 1/2
<u>Explanation:</u>
When a coin is flipped then there are two possible outcomes.
We can either get a heads or a tail.
If a coin is flipped three times and the possibility of getting heads would be 3
Total number of outcomes would be 6 ( 2 possible outcomes X 3 times toss)
Therefore, probability of getting heads would be = 3/6
= 1/2
Therefore, the probability of getting heads while flipping a coin for three times is 1/2
Answer:
Juan's current age = 12
Tim's current age = 8
Step-by-step explanation:
Let x= Juan's current age; x+10=Juan's age in 10 years
Then (1/3)x+4=Tim's current age;
Now we are told that:
x+10=2{(1/3)x+4}+6 eliminate brackets
x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3
3x+30=2x+42 subtract 30 and 2x from both side
s
3x-2x+30-30=2x-2x+42-30 collect like terms
Juan's current age: x=12
Tim's current age: (1/3)x+4=(1/3)*12+4=8
4 years older than 1/3 of Juan's age=(1/3)*12+4=8
8=8
In 10 years, Juan will be 6 years older than twice as old as Tim is now.
12+10=22
2*8+6=22
22=22
Answer:
Jordan
Step-by-step explanation:
Jayden bikes 0.3 miles in 1 minute if you divide 1.8 by 6.
Jordan bikes 0.4 miles in 1 minute if you divide 3.2 by 8.
Then, we can Jordan bikes 0.1 mile faster than Jayden in a minute.
Answer: The volume of the stone is 576 cubic inches
Step-by-step explanation: The dimensions of the tank are given in feet and inches, hence we shall use the lower of the unit of measurement that is, inches. Note that 1 foot equals 12 inches, so the length is 2 feet times 12, which equals 24 inches. Also the width is 1 foot times 12 which equals 12 inches. Then the tank is filled with water up to a depth of 8 inches , so the volume of water in the tank can be calculated as follows;
Volume = L x B x H
Where Length = 24, Width = 12 and Height = 8
Volume = 24 x 12 x 8
Volume = 2304
At 2304 cubic inches, a stone is placed in the water tank and the water level rises by 2 inches which implies that the depth is now 10 inches. With the addition of the stone, the dimensions are now shown as;
Length = 24, Width = 12, and Height = 10
Volume = L x W x H
Volume = 24 x 12 x 10
Volume = 2880
With the rise in volume of water in the tank, the difference (which is the volume of the stone) now is Volume with stone minus volume without stone, that is
Volume of stone = 2880 - 2304
Volume of stone = 576
Therefore the volume of the stone is 576 cubic inches
Answer: 25° and 65°
Step-by-step explanation:
Let the smaller angle of the complementary angle be represented by x.
Since the other angle is 15 degree more than two times the other angle, this will be:
= (2 × x) + 15°
= 2x + 15°.
Then we add both angles together and equate them to 90° and this will be:
x + 2x + 15° = 90°
3x + 15° = 90°
3x = 90° - 15°
3x = 75°
x = 75°/3
x = 25°
Then the other angle will be:
= 2x + 15°
= (2 × 25°) + 15°
= 50° + 15°
= 65°
Therefore, the angles are 25° and 65°.
