Answer:
c
Step-by-step explanation:
Answer:
<em> 4/12 and 6/18</em>
Step-by-step explanation:
Given the fraction 2/6
We are to write 2 different equivalent fractions that are the same as 2/6
To do this, we will multiply the numerator and denominator of the fraction by same constant. Multiply the numerator and denominator by 2 will give;
2/6 * 2/2
= (2*2)/(6*2)
= 4/12
Also multiplying by a value of 3
= 2/6 * 3/3
= (2*3)/(6*3)
= 6/18
<em>Hence the 2 different equivalent fractions are 4/12 and 6/18</em>
Answer:
30
Step-by-step explanation:
A player answers x correct questions and y incorrect questions for a total of 40 questions.
x + y = 40
The score is obtained by subtracting y incorrect answers from two times the x of correct answers. The player's score is 50.
2x - y = 50
Use substitution to solve. Rearrange the first equation so that it is equal to y. Then, substitute the y-value into the second equation.
x + y = 40
y = 40 - x
2x - y = 50
2x - (40 - x) = 50
2x - 40 + x = 50
3x - 40 = 50
3x = 90
x = 30
Since x was made to represent correct answers, the player had 30 correct answers.
Sample size=n=250
sample proportion=p=0.4
95% confidence interval so significance level α=1-0.95=0.05
So, α/2=0.025
z_( α/2)=1.960 (value taken from statistic z-table)
use formula;
p(+/-)z_(α/2)square root(p(1-p)/n)
(0.4-1.960 sq.root(0.4(1-0.4)/250), 0.4+1.960 sq.root(0.4(1-0.4)/250))
(-0.2073,0.4607) (estimation of population proportion)
Using order of operations, I simplified this down to -24+22a.
I hope this helps, and let me know if you need more explanation!
