Answer and Explanation :
The magnitude of the component of the box’s weight perpendicular to the incline can be solved using the formula:
F = w cos(a)
Where F is the box’s weight perpendicular to the incline
W is the weight of the box
A is the angle of the incline
F = (46)cos(25)
F = 42 N
The frequency of waves are determined by the amount of waves that pass a specific point in a certain period of time and Radio stations broadcast their signals at different frequencies so that the range of radio frequencies can be used by many stations.
Considering the given discrete probability distribution, it is found that there is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.
<h3>What is the discrete probability distribution?</h3>
Researching on the internet, it is found that the discrete probability distribution for the number of packs that Hugo buys is given by:
The probability that he buys fewer than 3 packs is given by:
P(X < 3) = P(X = 1) + P(X = 2).
Hence:
P(X < 3) = P(X = 1) + P(X = 2) = 0.2 + 0.16 = 0.36.
There is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.
More can be learned about discrete probability distributions at brainly.com/question/24855677
Using it's concept, it is found that the sample mean of cars sold per week is of 4.96.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
In this problem, the sum of the 26 observations is given by:
S = 1 + 1 + 4 + 2 + 4 + 10 + 8 + 5 + 9 + 6 + 1 + 5 + 6 + 5 + 7 + 1 + 4 + 6 + 8 + 9 + 2 + 5 + 9 + 5 + 3 + 3 = 129.
Hence the mean is given by:
M = 129/26 = 4.96.
More can be learned about the mean concept at brainly.com/question/25122507
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