A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.
Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one. By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.
b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1. There are 5 possibilities out of a total of 36, or 5/36.
c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1. There are 6 out of 36, or 6/36=1/6. Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.
d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6
There are 6 ways out of 36, or 6/36 = 1/6. Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
Step-by-step explanation:
Vertex form of equation : 
where (h, k) is the vertex of the parabola.
Hence, the vertex form of the equation is
Answer:
AB=2.775
BC=5.55
CA=6.475
Step-by-step explanation:
Since midpoints split their sides in half, we can see that the triangle MNK formed by the midpoints will be half the perimeter of the triangle ABC. Since P of MNK = 7.4, we know that the perimeter of ABC = 7.4 * 2, which is 14.8. Now we can split the 14.8 so that it follows the ratio.
3+6+7=16
14.8/16=0.925
AB=0.925*3=2.775
BC=0.925*6=5.55
CA=0.925*7=6.475
Answer:
D
Step-by-step explanation:
Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.
Line workers: h = hours per week ; d = dollars per hour.
Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)
Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d hourly rate of line worker.
Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.
Weekly pay of Joanna: $22.50 * 50 = $1,125
