Answer: 
Step-by-step explanation:
You can use the Method of substitution.
Substitute the equation 
into the equation 
and then you must solve for the variable x:
Apply Distributive property:
Subtract 12 from both sides of the equation and then add the like terms. Then you get:
The expected value of the number of points for each turn is 0.25
<h3>What is expected value?</h3>
Expected value describes the long term average level of a random variable based on its probabilty distribution.
Now, Probability that 2 heads come up is
P(2 is H) = 1/4
Probability that 1 heads come up is
P(1 is H) = 2/4
⇒P(1 is H) = 1/2
Probability that no head will come up
P(no H's) = 1/4
Hence, the expected value for winning of 2points, 1point and lose of3 points is given as-
Expected value = 2 * P(2 is H) + 1 * P(1 is H) - 3 * P(no H's)
⇒Expected value = 2 * 1/4 + 1 * 1/2 - 3 * 1/4
= 0.5 + 0.5 - 0.75
⇒Expected value = 0.25
More about Expected value :
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in right angle traingle two angle are equal
so.x=y
in triangle
x+y+90=180(sum of interior angle of triangle)
2x=180-90
x=90/3=45°
Answer:
(0, 5)
Step-by-step explanation:
You get y-intercept when x=0
<u>For the given equation y-intercept is:</u>
As a point on the graph it is: (0, 5)
Here y-intercept may represent flat rate of monthly fee.
We know that
the garden is circular--------------> r=5 ft
Area1=pi*r²=pi*5²=78.50 ft²
path 2 feet by 2 feet square (good soil for the seeds)<span>
Area2=2*2=4 ft</span>²
<span>the probability that a seed will land in the 2 feet by 2 feet square=Area2/Area1
P=4/78.5=0.051 (5.1%)
the answer is 0.051 (5.1%)</span>
