Answer:
The probability mass of X is 0.03
Step-by-step explanation:
If we set the winning requirement of your heads and my tails then the occurring possibility of both is 1/2 or 0.5.
Hence let us make a graph and use the figures to calculate the all the probabilities of you getting a heads.
Where X represents the number of dollars won during the flip of the coin, probability of heads represent the chances of occurrence of the value and of winning the dollars.
The probability of winning start to drop as the winning amount increases.
X 0 1 2 3 4 5
Probability of Heads 0 0.50 0.25 0.13 0.06 0.03
the expected value for the 3 point shot = (3 * 0.30) + (0 * 0.70) = 0.90
the expected value for the 2 point shot = (2 * 0.48) + (0 * 0.52) = 0.96
the expected value for the 2 point shot is higher than the 3 point shot so he should pass the ball
Answer:
Is an estimate of the average grams of salt used in 2012
Step-by-step explanation:
Let
x ---> the number of years since 2012
f(x) ---> is the total amount of salt ingested in grams
we have
This is a linear equation in slope intercept form
where
The slope is equal to
The y-intercept or initial value is equal to
The y-intercept is the value of the function f(x) when the value of x is equal to zero
In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012
The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)
Compare the exact value with the y-intercept
therefore
3,548 grams Is an estimate of the average grams of salt used in 2012
It would be helpful to draw the figure for this system. We would see that a right triangle is made where the base is equal to 100 ft and the height is equal to 25 ft. Using trigonometric functions we can easily calculate for the angle as follows:
tan (theta) = 25 / 100
theta = 14.04 degrees
Answer:
A = πr² ← r is the radius and r = \frac{1}{2} d ← d is the diameter
Hence
π (\frac{1}{2} d)² = A, that is
\frac{d^2\pi }{4} = A ( multiply both sides by 4 )
d²π = 4A ( divide both sides by π )
d² = \frac{4A}{\pi } ( take the square root of both sides )
d = \sqrt{\frac{4A}{\pi } }
