2(n2 + 1) – 3(n2 – 3) + 3(2n2 – 2), n=(1/4)
1 answer:
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Given:
The number of cycles is, <em>n</em> (s) = 7.
The number of wheels in the cycle is, <em>n </em>(sw) = 2.
The number of cars is, <em>n</em> (c) = 15.
The number of wheels in the car is, <em>n</em> (cw) = 4.
The obective is to find the total number of wheels.
The total number of wheels is,
Hence, there are 74 wheels in the block.
If there are <em>x</em> bicycles and <em>y </em>cars, the equatioin will be,
Hence, the number of wheels for x bicycles and y cars is 2x+4x.
Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that
100 such adults
This means that
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
