Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35
BREAKDOWN
10 times: 10 ×
The sum of: ( ) + ( )
which would be : 10 × ( ) + ( )
half a number: 10 × ( X/2 ) + ( )
and 8: 10 × ( X/2 ) + ( 8 )
is 12 : 10 × ( X/2 + 8 ) = 12
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SIMPLIFICATION
Multiply ten: 10 X (X/2 + 8) = 12
which equals to: 5x + 80 = 12
bring the like terms together: 5x = 80 - 12
Equals: 5x = 78
Find out X:. x = 78/5
FINAL ANSWER:. X = 15.9
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Answer:
Part A) Annual
Part B) Semiannual
Part C) Monthly
Part D) Daily
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
so
Part A) Annual
in this problem we have
substitute in the formula above
Part B) Semiannual
in this problem we have
substitute in the formula above
Part C) Monthly
in this problem we have
substitute in the formula above
Part D) Daily
in this problem we have
substitute in the formula above
512x^3 would be the answer
For this case we have the following equation:
y = 150 * (1.06) ^ t
For the first month we have:
y = 150 * (1.06) ^ 1
y = 159 $
For the second month we have:
y = 150 * (1.06) ^ 2
y = 168.54 $
For the third month we have:
y = 150 * (1.06) ^ 1
y = 178.65 $
Answer:
d. $ 159.00 + $ 168.54 + $ 178.65