Answer:
<em>The ball will roll upto </em><em>1 m.</em>
Step-by-step explanation:
A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.
As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.
According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.
Here given kinetic energy as 10 J, so this energy will get converted to potential energy.
We know that, potential energy is
where,
m is the mass, g is the acceleration due to gravity and h is the height.
Putting the values,
Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741
Answer:
C
Step-by-step explanation:
Please mark brainliest
There are 6 letters in the word "autumn" so
6! = 6*5*4*3*2*1 = 720
represents the number of ways to arrange the letters (order matters)
Note how there are two letter "u"s here which can't be told apart. If we could tell them apart, then the answer would be 720. However, we can't tell them apart. So we're doubly counting things. To undo this, we divide by 2
720/2 = 360
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Final Answer: 360
Answer:
The area of the circle is 314 inches
Step-by-step explanation:
Area if a circle = πr²
r = radius
r= d/2
r=20 /2
r=10 inches
Area =3.14×10²
= 3.14×100
=314 inches
