A jar contains 2 red marbles numbered 1 to 2 and 4 blue marbles numbered 1 to 4. A marble is drawn at random from the jar. Find
1 answer:
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Answer:
b=0.5 in
b=2 in
Step-by-step explanation:
we know that
The perimeter of triangle is equal to
Solve for a
-----> equation A
Applying the Triangle Inequality Theorem
a+a > b
2a > b -----> inequality B
<u>Verify each case</u>
case 1) b=-2 in
This value not make sense, the length side cannot be a negative number
case 2) b=0 in
This value not make sense
case 3) b=0.5 in
substitute the value of b in the equation A and solve for a
substitute the values of b and a in the inequality B
2a > b
2(7.25) > 0.5
14.50 > 0.5 -----> is true
therefore
b=0.5 in make sense for possible values of b
case 4) b=2 in
substitute the value of b in the equation A and solve for a
substitute the values of b and a in the inequality B
2a > b
2(6.5) > 2
13 > 2 -----> is true
therefore
b=2 in make sense for possible values of b
case 5) b=7.9 in
substitute the value of b in the equation A and solve for a
substitute the values of b and a in the inequality B
2a > b
2(3.55) >7.9
7.1 > 7.9 -----> is not true
therefore
b=7.9 in not make sense for possible values of b
Solution: The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.
In normal distribution (bell shaped distribution) , the mean and standard deviation are used to describe its distribution. The mean measures the center of the distribution, while the standard deviation takes care of the spread of the distribution.
The mean of the normal distribution is and the standard deviation is