We want the coin to land on heads on 5 out of 5 flips.
Each time, the coin has a 1/2 chance of landing on heads.
Since we want it to land on heads 5 times in a row, we multiply 1/2 five times to get the probability.
(1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1 / (2*2*2*2*2)
= 1 / 32
There is a 1/32 chance of landing heads five times in a row.
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Answer:
y = 10
x = 25
Step-by-step explanation:
From the U theorem the sum of these two angles 120+2x+y = 180
same goes for the bottom part too:
2x-y+140 = 180 now add two equations up
120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)
4x + 260 = 360 subtract 260 from both sides
4x = 100 divide both sides by 4
x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25
2*25 - y + 140 = 180
50 - y + 140 = 180 add like terms
190 - y = 180 subtract 190 from both sides
-y = -10 and y = 10
Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 25
With ∠ 31 degrees as the reference angle,
the adjacent side of the right angle triangle is the unknown side.
the opposite side of the right angle triangle is x.
To determine x, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 31 = x/25
x = 25Sin31
x = 25 × 0.5150
x = 12.875
Answer: 28
Step-by-step explanation:
Given
Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is
for 36 serves, applying the same success rate, it is
Serves that did not make over the net is 
Thus, Kenny will make 28 serves that make over the net
