Solve the equation by completing the
1 answer:
Answer:
s ≈ - 0.5 , s ≈ 8.5
Step-by-step explanation:
s² - 8s - 4 = 0 ( add 4 to both sides )
s² - 8s = 4
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 4)s + 16 = 4 + 16
(s - 4)² = 20 ( take square root of both sides )
s - 4 = ± ( add 4 to both sides )
s = 4 ±
Then
s = 4 - ≈ - 0.5 ( to the nearest tenth ) ← smaller solution
s = 4 + ≈ 8.5 ( to the nearest tenth ) ← larger solution
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Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
Answer:
Step-by-step explanation:
The formula that is used to calculate the area of a square is this one:
Where "s" is the side lenght of the square
You know that Julia used 1 foot square stone tiles, then each side lenght of the this tiles is:
Since Julia laid 7 tiles wide by 7 tiles long, the side lenght of the new patio is:
Therefore its area is: