Missing question: How many executives should be surveyed?
Solution:
Mean = 13 hours
SD = 3 hours
Confidence level = 95%
Mean viewing time within a quarter of an hour = 0.25 = 1.96*3/sqrt (N)
Where N = Sample population
N = {(1.96*3)/0.25}^2 = 553.19 ≈ 554
Therefore, 554 executives should be surveyed to yield such results.
<span>If the company, hewerrtt, would like to make letter codes using all of the letters in the word hewerrtt, they would be able to make five codes. Altogether, there are eight letters in the word, but there are duplicates of the letter e, the letter r, and the letter t, so that takes out three possibilities. Three subtracted from eight is equal to five, therefore the company can make five codes using the company name.</span>
Answer:
![\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3-3x%5E2%2B4x-7%7D%7Bx-3%7D%20%3D%28x%5E2%2B4%29%2B%5Cfrac%7B5%7D%7Bx-3%7D)
Step-by-step explanation:
We are given polynomial as
![P(x)=x^3-3x^2+4x-7](https://tex.z-dn.net/?f=P%28x%29%3Dx%5E3-3x%5E2%2B4x-7)
and it is divided by x=3 or x-3
we can use synthetic division
so, we got
Remainder =5
Quotient is
![=x^2+0x+4](https://tex.z-dn.net/?f=%3Dx%5E2%2B0x%2B4)
![=x^2+4](https://tex.z-dn.net/?f=%3Dx%5E2%2B4)
we can write as
![\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3-3x%5E2%2B4x-7%7D%7Bx-3%7D%20%3D%28x%5E2%2B4%29%2B%5Cfrac%7B5%7D%7Bx-3%7D)
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + y = 1 → (1)
ax - by = c → (2)
In (1) subtract y from both sides
x = 1 - y → (3)
Substitute x = 1 - y into (2)
a(1 - y) - by = c ← distribute left side
a - ay - by = c ( subtract a from both sides )
- ay - by = c - a ( multiply through by - 1 )
ay + by = a - c ← factor out y from each term on the left side
y(a + b) = a - c ← divide both sides by (a + b)
y =
← substitute into (3)
x = 1 -
=
-
=
= ![\frac{b+c}{a+b}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%2Bc%7D%7Ba%2Bb%7D)
<span><span>the exact answer is 3 over
<span>5√</span> </span>35</span>