Astudent took an exam in french and math. in french, she scored 81 and in math 86. the overall results on the french exam had a mean of 72 and a standard deviation of 9, while the mean math score was 68, with a standard deviation of 12. on which exam did she do better, as compared with other students?

She can do better in math.

Step-by-step explanation:

Any point (x) from a normal distribution can be converted to the standard normal distribution (z) with the formula z=

for french  x = 81 and mean 72  ,standard deviation = 9

for french the value of Z  =

                                         =

                                           =  ±1

For math x =86 and mean=68 ,standard deviation = 12

for math the value of z =±1.5

Since value of Z is more in subject math as compare  to  that of French

so she did better in Mathematics

2

step-by-step explanation:

1+1=2

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)