Answer:
17
Step-by-step explanation:
15^2+8^2=17^2
Answer: 126
Step-by-step explanation: 42 times 6 equals 252, 252 divided by 2 equals 126
If I'm understanding the question correctly, you're saying that <em>X</em> is a random variable following a normal distribution with mean 5 and standard deviation 4.2, and you want to find the proportion of the distribution that lies in the interval (-3, 8). In other words, the probability
P(-3 < <em>X</em> < 8)
Transform <em>X</em> to <em>Z</em>, which follows the standard normal distribution with mean 0 and standard deviation 1, using the rule
<em>X</em> = <em>µ</em> + <em>σZ</em> ==> <em>Z</em> = (<em>X</em> - <em>µ</em>)/<em>σ</em>
where <em>µ</em> and <em>σ</em> are the mean and standard devation of <em>X</em>, respectively.
We have
P(-3 < <em>X</em> < 8) = P((-3 - 5)/4.2 < (<em>X</em> - 5)/4.2 < (8 - 5)/4.2)
… ≈ P(-1.904 < <em>Z</em> < 0.714)
… ≈ P(<em>Z</em> < 0.714) - P(<em>Z</em> < -1.904)
… ≈ 0.762 - 0.028 ≈ 0.734
Answer: It equals 8.
Step-by-step explanation:
Answer:
By using completing the square method, equation (x - 12) (x + 4) = 9 can be solved as x = (4 + √ 73) or (4 - √ 73)