Answer:
j = -99
Step-by-step explanation:
-3(j+82)=51
Divide by -3
-3/-3(j+82)=51/-3
j+82 = -17
Subtract 82 from each side
j+82-82 = -17-82
j = -99
1.49/6 = 0.248 per oz
3.59/13 = 0.276 per oz
lowest price is A. 6 oz for 1.49
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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Given:
Required:
To solve the given equation.
Explanation:
Consider
Divide 36 on both side, we get
Final Answer:
We know, Point slope form is written as:
y - y₁ = m(x - x₁)
First, We need to Calculate the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (-3-2)
m = 1/-5
m = -1/5
Take any one of them: Let's take (-3, 2) as our coordinate:
y - 2 = m(x - (-3))
y - 2 = -1/5(x + 3)
In short, Your Answer would be Option D
Hope this helps!