Answer:
B. There is one boy for every 6 girls in class.
Step-by-step explanation:
When you have a ratio, it compares two numbers. When you have a ratio 1:6 the colon (:) there can be read as "is to" or "for every".
That means that ratio can be read as 1 is to 6 or "there is 1 for every 6."
In this case 1:6 represents the number of boys to the number of girls to class. This means that there is 1 boy for every 6 girls in class.
4x-2y=7 (1)
-3x+3y=10 (2)
3y= 3x+10
y= x+10/3 (3)
sub (3) into (1)
4x-2(x+10/3)=7
4x-2x-20/3=7
2x-20/3=7
+20/3 +20/3
2x= 41/3
x= (41/3) / 2
x= 41/6
sub x= 41/6 into (3)
y= 41/6+10/3
= 61/6
Therefore the point of intersection is (41/6, 61/6)
Answer:
1.01 < µ < 1.03
Step-by-step explanation:
We want to construct a 95% confidence interval. Our sample size is 25, so we use a t-value. The degrees of freedom are 24 (always one less than the sample size).
The t-value we get is: 2.064
We have:
x = 1.02
σ = 0.03
See the attached photo for the construction of the confidence interval...
Answer:
x = 15, y = 4
Step-by-step explanation:
By Basic proportionality theorem, we have:
x/ 5 = 18/6
x = (18*5)/6
x = 90/6
x = 15
Again By Basic proportionality theorem, we have:
12/y = 18/6
y = (12*6)/18
y = 72/18
y = 4
