Answer:
a) y </= 8 is not sufficient
b) y >/= 4 is sufficient (y is not less than 3.5)
Step-by-step explanation:
Number of Red marbles = 8
Number of white marbles = y
Total number of marbles in the jar = 8+ y
Let Pr(R) be the probability of picking red marbles
Let Pr(W) be the probability picking white marbles
Pr(R) = 8/ (8+y)
Pr(W) = 7/(7+y)
Pr(RR) = Pr(R1) * Pr( R2)
= 8/(8+y) * 7/(7+y)
Pr(RW) = Pr(R1) * Pr(W2) + Pr(W1) * Pr(R2)
= 2[Pr(R1) * Pr(W2)
= 2[8/(8+y) * y/(7+y)]
The probability of having 2 red is greater than one marble of each color.
Pr(RR) > Pr( RW)
8/(8+y) * 7/(7+y) > 2[8/(8+y) * y/(7+y)]
7/(7+y) > 2(y/(7+y)
7/y > 2
7/2 > y
3.5 > y
y < 3.5
Therefore;
a) y </= 8 is not sufficient
b) y >/= 4 is sufficient (y is not less than 3.5)
Answer:
fruit cost less by the
Step-by-step explanation:
one pound of fruit cost 3.30 and peanuts cost 3.50 per pound
Answer:
+3
Step-by-step explanation:
(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).
If m = 2 then we have -2^(-3), or -1 / [2^3]), or -1/8.
Finally, if n = -24, the original expression becomes
(-1/8)(-24) = +3
Second problem: Only the first expression simplifies to a negative result.
Answer: 5.5km
Step-by-step explanation:
The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.
The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have
25,000 X 22
= 550000 cm
To convert this to km
Recall that
1 km = 100,000 cm
Therefore we will divide the answer by 100,000 , that is
550000/100000
= 5.5 km
Therefore , the real distance between the two railway stations is 5.5km
