By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).
Replacing we have:
z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]
z = 1.289
If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:
1 - 0.8897 = 0.1003
So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.
Now the hypothesis tells me:
m> 5
The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.
We are given with the equation
y = e^-9x with the restriction of x <span>≥ 0
If rotated about the x-axis the area of the resulting surface is
A = </span>π ∫ y² dx
Substituing
A = π ∫ (e^-9x)² dx
A = π ∫ e^-18x dx
The limits are from 0 to positive infinity.
For this case we have the following equation:

We must solve the equation by following the steps below:
We subtract 1 from both sides of the equation:

On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:

We add x to both sides of the equation:

We divide between 4 on both sides of the equation:

Thus, the correct option is option B
Answer:

Option B
Answer:
x=21
Step-by-step explanation:
Since the angle is the same size it is equal to 130 degrees.
Answer:
X^2 -2x-35 =0
Step-by-step explanation:
For equation with solution X= -5 and 7
It implies
X+5 =0 or X-7=0
(X+5)(X-7)=0
x2 -7x + 5x -35=0
X^2-2x-35=0