the expected value for the 3 point shot = (3 * 0.30) + (0 * 0.70) = 0.90
the expected value for the 2 point shot = (2 * 0.48) + (0 * 0.52) = 0.96
the expected value for the 2 point shot is higher than the 3 point shot so he should pass the ball
To make the monomial 125 x^18 y^3 z^25 a perfect cube, the entire expression should be reduced to a rational number when the cube root is taken. For the constant 125, the cube root is 5, so it doesn't need to be changed. For the variables, the exponents should be divisible by 3. The exponent of z is not divisible by 3. It can be subtracted with 1 or added with 2 to make the expression a perfect cube.
Let dan's age be x then:-
james age is 3x and 2(x + 3x) is Pauls age so we have:-
x + 3x + 2*4x = 120
12x = 120
x = 10
so Dans age is 10 , James's age is 30 and Paul's age = 80
Answer:
Annie walked 1 11/12 miles
Step-by-step explanation:
Trail= 4 1/2 miles
Annie ran the first 2/3 miles
Remaining miles= Total miles - Miles covered first
= 4 1/2 - 2/3
= 9/2 - 2/3
= 27-4 / 6
= 23/6 miles
Remaining miles = 23/6 miles
Annie walked for 1/2 of the remaining distance
1/2 of the remaining miles= 1/2 × 23/6
=23 / 12
= 1 11/12
Annie walked 1 11/12 miles
Answer:
72
Step-by-step explanation:
We are assuming that all girls in the group bought the same number of items.
Therefore, we need to find the highest common factor of 72, 144 and 216.
HCF
72 = 2 * 2 * 2 * 3 * 3
144 = 2 * 2 * 2 * 2 * 3 * 3
216 = 2 * 2 * 2 * 3 * 3 * 3
The product of the emboldened numbers is the highest common factor.
That is:
2 * 2 * 2 * 3 * 3 = 72
Therefore, the largest possible number of girls in the group is 72.
