Answer:
3x + 4 = 12 :- x = 8 / 3
Step-by-step explanation:
3x + 4 = 12
Move all terms not containing x to the right side of the equation.
Subtract 4 from both sides of the equation.
3x = 12 - 4
Subtract 4 from 12.
3x = 8
Divide each term by 3 and simplify.
Divide each term in 3x = 8 by 3.
3x / 3 = 8 / 3
Cancel the common factor of 3.
Divide x by 1.
x = 8 / 3
The result can be shown in multiple forms.
Exact Form:
x = 8 / 3
Decimal Form:
x = 2.6
Mixed Number Form:
x = 2 2/3
Answer:
<em>Jack scored a total of -40</em>
Step-by-step explanation:
<u>Arithmetic</u>
Jack took a test where the correct answers are given as positive numbers and the incorrect answers are negative numbers.
The scores were
-65,-10,-15,20,30
The total score is the arithmetic sum of all scores, including their signs:
Total score: -65-10-15+20+30
Total score: -40
Jack scored a total of -40
Answer:
square root of 2
Step-by-step explanation:
Sides are 1 and 1 and the hypotenuse is the longest side (opposite the right angle)
We can use pythagerouses theorem : a^2+b^2=c^2
this means that 1^2+1^2=c^2
1+1=c^2
2=c^2
c=2/sqrt
c is the square root of 2
the hypotenuse is the square root of 2
Finding the sample size for estimating a population proportion.
The formula is:
n = (z/m)^2 p~(1−p~)
where:
Z is the z value of the confidence level where 95% is equal to 1.96
M is the margin of error where 0.05
And p~ is the estimated value of the proportion where it is 0.50
Solution:
n = (1.96/0.05)^2 (0.5) (1-0.5)
= 1.536.64 (0.5) (0.5)
= 768.32 (0.5)
= 384.16
This is the minimum sample size, therefore we should round it up to 385. The answer is letter c.
