A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of
1 answer:
The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
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The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: brainly.com/question/22734914
