Answer:
The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.
Step-by-step explanation:
We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.
If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.
The standard deviation of the sample is equal to:

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
Answer:
Step-by-step explanation:
in order to make a box plot you need to know 5 things.
the minimum, the first quartile, the median, the third quartile, and the maximum value. aka <em>the five number summary </em>
using your calculator you can find that in this set of values:
min = 1
Q1 = 2.5
med (Q2) = 3
Q3 = 5.5
max = 7
the box plot will look something like this:
Assuming your first equation is y = 5x+9, the equations describe lines that are coincident.
_____
Multiplying the second equation by -1, it becomes y = 5x+9, the same as the first equation.
X= 2.14 i think but that’s just what i think it is according to the calculator