Answer:
{x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)
Step-by-step explanation:
Sean is taking driver's ed. The instructor asked him to stay within 2 miles of the posted speed limits. The current speed limit is 45 mph.
So, the maximum speed which Sean can reach is, (45 + 2) mph
=47 mph
and, the minimum speed which Sean can reach is, (45 - 2) mph
=43 mph
so, {x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)
Answer: 2 < x < 16
The triangle inequality theorem says that if we have a triangle with sides a,b,c then
b-a < c < b+a
with b being longer than 'a'
In this case, a = 7 and b = 9 and c = x
so we have
b-a < c < b+a
9-7 < c < 9+7 .... replace a with 7, replace b with 9
2 < c < 16
2 < x < 16 .... replace c with x
So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.
Answer:
-3.5
Step-by-step explanation:
5 milk choc and 8 dark choc....total of 13 chocolates
P(1st pick is milk choc) = 5/13
do not replace
P(2nd pick is milk choc) = 4/12 which reduces to 1/3
P(both picks are milk choc) = 5/13 * 1/3 = 5/39 <== or 12.8%