Answer:
5.
Step-by-step explanation:
2[(8−4)5/8]
= 2[4*5 / 8]
= 2 * 2.5
= 5.
Answer:
86%
Step-by-step explanation:
Let g represent the mean mark for the 10 girls in the class. Then the mean mark for the class was ...
10g +20(62%) = 30(70%)
g = 3(.7) -2(.62) . . . . . . . . . divide by 10 and subtract 2(.62)
g = .86 = 86%
The mean mark for girls was 86%.
_____
You can do this in your head if you consider it in terms of deviations from the mean. The second equation above can be rewritten and factored as ...
g = 70% +2(70% -62%)
That is, because there are 2 boys for every girl, the girl's score is above the mean by an amount that is 2 times the amount that the boy's score is below the mean. The boys' score is below by 8%, so the girls' score is above by 16%, so is 86%.
Answer:
Step-by-step explanation:
3
x
−
6
y
=
3
Rewrite in slope-intercept form.
Tap for more steps...
y
=
1
2
x
−
1
2
Using the slope-intercept form, the y-intercept is
−
1
2
.
b
=
−
1
2
Tap for more steps...
y
=
1
2
x
−
1
2
Using the slope-intercept form, the slope is
1
2
.
m
=
1
2
