First, let's break down what the difference between a sample and population is. A sample is a small part or quantity intended to show what the whole is like. A population is all inhabitants of a town, country, or the world. Samples are only representative of the population if the data collected is being collected in a fair manner. In answer choices A - C, the researcher is collecting data in locations specific to what is being studied. The outcome is likely to be bias because of the method in which the data is being collected. It is for that reason that the correct answer is D. To learn how many students at her school spend more than $10 on books in a month, Mia speaks to every sixth student she meets in the school hallway.
We are given the function <span>–2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:
-2x + 5x =8+4
Then, do the necessary operations.
3x = 12
x = 4.
The variable x has a value of 4.</span>
1. n^2 -8n +16 = 25
Subtract 25 from both sides
n^2 - 8n + 16 - 25 = 0
Simplify
n^2 - 8n - 9 =0
Factor
(n-9)(n+1) = 0
Solve for n
n-9 = 0, n = 9
n+1 = 0, n = -1
Solution: 9,-1
2. C = b^2/25
Multiply both sides by 25:
25c = b^2
Take square root of both sides
b = +/-√25c
Simplify:
b = 5√C, -5√C
3. d = 16t^2 +12t
subtract d from both side:
16t^2 + 12t -d =0
Use quadratic formula to solve:
t = (3 +/-√(9-4d))/8
4. 5w^2 +10w =40
Subtract 40 from both side:
5w^2 + 10w -40 = 0
Factor:
5(w-2)(w+4)=0
Divide both sides by 5:
(w-2)(w+4)=0
Solve for w:
w-2 = 0, w = 2
w+4=0, w = -4
Solution: 2,-4
<span>Because the closest square number is 5 which results in 52=25 therefor you cannot get the perfect square of 24</span>
2arctan(2/5) = 44°
180° -44° = 136°
The angles are 44°, 136°.
