Answer:
The required probability is 0.533.
Step-by-step explanation:
Consider the provided information.
The actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces.
Let x is the random variable for the actual weight of chocolate.
According to PDF function.
Where
It is given that ranging from 31 to 32.5 ounces.
Substitute a=31 and b=32.5 in above function.
We need to find the probability that a box weighs less than 31.8 ounces
Now according to PDF:
Hence, the required probability is 0.533.
Answer:
(a) -7, (b) 2
Step-by-step explanation:
a) When x = 0,
=> x² - 8x - 7
=> (0)² - 8(0) - 7
=> 0 - 0 - 7
=> - 7
b) When x = -1,
=> x² - 8x - 7
=> (-1)² - 8(-1) - 7
=> 1 + 8 - 7
=> 9 - 7
=> 2
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
There should only be one step necessary
(4m-1) / m = 4 - 1/m
14➗ 420. 14 goes into 42 , 3 times subtract bring down the zero and your answer is 30
So the definition of the cosine of an angle of a right triangle is
. You may remember this by SohCahToa (sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent).
Remember, adjacent refers to the side next to the angle in question, and the side can't also be the hypotenuse. The hypotenuse is that longest side and is opposite the right angle.
We have the cosine of 30°. We write