Answer:
The proportion of individuals score at most 74 points on this test is 70%.
Step-by-step explanation:
The complete question is:
Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.
Solution:
Let <em>X</em> represent the scores on a reading ability test.
It is provided that 
.
Compute the probability that an individuals score is at most 74 points on this test as follows:
Thus, the proportion of individuals score at most 74 points on this test is 70%.
Answer:
y = x³ + 10.5x² + 31x + 13
Step-by-step explanation:
Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.
So the polynomial is:
y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))
Distributing:
y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)
y = (x + 1/2) (x² + 10x + 25 + 1)
y = (x + 1/2) (x² + 10x + 26)
y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)
y = x³ + 10x² + 26x + 1/2x² + 5x + 13
y = x³ + 10.5x² + 31x + 13
Answer:
I dont have sc
Step-by-step explanation:
Answer:
X = 7 Y = -19
Step-by-step explanation:
If you want to solve this equation by substitution then you have to put the second equation in, so it will look something like this
5x + 1(2-3x)=16
Apply distributive property to solve.
Once you find x, plug it in to find y
To double check your work, you can plug the coordinated values back in
-19 = 2 - 3(7)
-19 = 2-21
This is true, so our solution is correct.
Hope this helps :)
