Answer:
x=-3
Step-by-step explanation:
-2x2=-4
-4-16x-44=0
combine like terms (-4,-16)
-48-16x=0
move the 16x to the other side of the equal sign (add 16 since its -)
-48=16x
you need x alone so you need to divide by 16
-3=x
A. (Number of sides - 2) x 100, so
6-2= 4 x 180
= 720° is the sum of all angles in a hexagon
84 + 87 + 128 + 150 + 103 = 552
720 - 552 = 168
X = 168°
2. Angles in a triangle sum up to 180°
36 + 57= 93
180 - 93 = 87
A= 87°
Answer: 44.44
Step-by-step explanation: Order of operations - PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
Parentheses: (112-32) = 80
Multiplication: 5(80) = 400
Division:400/9 = 44.4444444444
Answer:
96
Step-by-step explanation:
<u>Step 1
</u>
Divide your confidence interval by 2. In this case the confidence is 95% = 0.095, so 0.095/2 = 0.0475
<u>Step 2
</u>
Use either a z-score table or a computer to find the closest z-score for 0.0475 and you will find this value is 1.96
<u>Step 3
</u>
Divide the margin error by 2. In this case, the margin error is 2%. When dividing this figure by 2, we get 1% = 0.01
<u>Step 4
</u>
Divide the number obtained in Step 2 by the number obtained in Step 3 and square it
1.96/0.01 = 196 and 196 squared is 38,416
<u>Step 5
</u>
As we do not now a proportion of people that purchase on line, we must assume this value is 50% = 0.5. Square this number and you get 0.25
<u>Step 6
</u>
Multiply the number obtained in Step 5 by the number obtained in Step 4, round it to the nearest integer and this is an appropriate size of the sample.
38,416*0.25 = 9,604
