Solve the system of equations 3x + y = 3 and 7x + 2y = 1.
1 answer:
Answer:
(x, y) = (-5, 18)
Step-by-step explanation:
You have done the first two steps.
<h3>3.</h3>7x +2(3 -3x) = 1 . . . . . equation with y substituted
7x +6 -6x = 1 . . . . . . . eliminate parentheses using the distributive property
x = -5 . . . . . . . . . . . . . subtract 6 from both sides, collect terms
<h3>4.</h3>y = 3 -3(-5) . . . . . . . . use the substitution equation to find y
y = 18
The solution is (x, y) = (-5, 18).
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Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as
For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,
Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%