Answer:
63degrees
Step-by-step explanation:
I cant see the picture well but i assume that is an angle and it is right before 90 degrees
Answer: <em>(gºh)(25)=2</em>
Step-by-step explanation:
1. This exercise is about Composition of functions, then you have:
2. Then, you have that
<em>(gºh)(25)</em>
3. Now, you must substitute 25 into the function, as you can see below:
<em>(gºh)(25)</em>
4. Simplify the fucntion.
5. Therfore, you obtain:
<em>(gºh)(25)</em>
The two boundary curves y = √(6x + 4) and y = 2x meet at
√(6x + 4) = 2x
6x + 4 = 4x²
2x² - 3x - 2 = 0
(x - 2) (2x + 1) = 0
⇒ x = -1/2 and x = 2
R is bounded to the left by the y-axis (x = 0), so R is the set
R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}
Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of
2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x
and as we let ∆x approach zero, the total volume of the solid is given by the definite integral

Answer:
Mean is 3.05
Standard deviation is 1.69.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The probability of x sucesses on n repeated trials, with p probability.
In this problem, we have a sample of 50 students, so
. The proportion of all UNC students that are foreign students is 0.061, so
.
The mean is given by the following formula:

The standard deviation is given by the following formula:

Answer:
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