So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8
2 times (9+7) is correct.
9 + 7 = 16.
16 multiplied by 2 is 32.
Answer:
3628800
Step-by-step explanation:
There are 10 options for the first number.
That leaves 9 options for the second number.
That leaves 8 options for the third number.
So on and so forth.
The number of ways 10 numbers can be arranged is:
10×9×8×7×6×5×4×3×2×1
= 10!
= 3628800
Answer:
B
Step-by-step explanation:
to change a mixed number into an improper fraction
a
=
, then
9 ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
= ![\frac{9(3)+1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B9%283%29%2B1%7D%7B3%7D)
= ![\frac{27+1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B27%2B1%7D%7B3%7D)
= ![\frac{28}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B3%7D)
P(A) =0.54
P(B)= 0.68
P'(A)= 1-0.54 = 0.46
P'(B)= 1- 0.68 = 0.32
The probability of neither of both event will occur:
= P'(A)×P'(B)
=0.46 × 0.32
=0.1472