Step-by-step explanation:
AC=AB+BC-cos. AC=100+66-cos. AC=166-0.906. AC=√165.094. AC=12.8
Steps to solve:
5x² = 15x
~Subtract 15x to both sides
5x² - 15x = 15x - 15x
~Simplify
5x² - 15x = 0
~Factor left side
5x(x - 3) = 0
~Factors equal 0
5x = 0 and x - 3 = 0
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~Simplify 5x = 0
5x/5 = 0/5
x = 0
~Simplify x - 3 = 0
x - 3 + 3 = 0 + 3
x = 3
___________
Thus, the correct answer is 0, 3.
___________
Best of Luck!
1) credit Card
2) debit card
3) both
4) credit card (maybe)
Hope it helps!! :)
Answer:
There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds
Step-by-step explanation:
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 180, σ = 8.
For x = 185:
z = (185 - 180)/8 = 0.625
For x = 190:
z = (190 - 180)/8 = 1.25
P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%
There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds