Answer:
The standard deviation is 4.83 inches.
Explanation:
We are given that the average yearly snowfall in Chillyville is Normally distributed with a mean of 55 inches.
The snowfall in Chillyville exceeds 60 inches in 15% of the years, we have to find the standard deviation.
Let X = <u><em>the average yearly snowfall in Chillyville</em></u>.
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= mean amount of rainfall = 55 inches
= standard deviation
Now, it is stated that the snowfall in Chillyville exceeds 60 inches in 15% of the years, that means;
P(X > 60 inches) = 0.15
P(
>
) = 0.15
P(Z >
) = 0.15
In the z table, the critical value of z that represents the top 15% of the area is given as 1.0364, that means;
= 4.83 inches
Hence, the standard deviation is 4.83 inches.
The kinetic energy of an object is given by:
Kinetic energy = 1/2 * mass * velocity²
If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0. All of the kinetic energy is converted to potential energy, and the pendulum starts moving in the opposite direction after this point in time.
Answer:
oo ngunit hindi nila napigilan ang paglaganap ng mga ito sa bansa kayat napamunuan nila ito ng 333 years. Mahusay ngang mandirigma ang mga pinoy ngunit natalo sila sa mga bagong makapangyarihang armas ng Espanya
Answer: 9000
Given:
10 automatic sprinkler activated 10 minutes for 2 sessions daily.
Each sprinkler provides 1.5 gallons of water per minute
Question:
How many gallons of water is the neighbor using during a 30-day billing cycle?
Solution:
Each sprinkler provides water (10*2) or 20 minutes daily. In 20 minutes each sprinkler can provide (20*1.5) or 30 gallons of water. There are 10 sprinklers so (10*30) 300 gallons all in all daily. In 30 days, (30*300)9000 gallons of water are consumed.