Probability that the 7th grader is a boy = number of boys / total kids = 5 / (5+5) = 5/10 or 1/2Probability that the 8th grader is a boy = number of boys / total kids = 3 / (5+3) = 3/8Probability that both are boys is calculated by multiplying both of the answers above: ½ * 3/8 = 3/16 or 0.1875
Answer:
6/12 or 1/2 or 50% or 0.5
Step-by-step explanation:
You have two 6-sided dice, and there are 3 odd numbers on each.
So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.
Answer:
- 575.6 N at 40°
- 451.7 N at 55°
Step-by-step explanation:
Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...
x·cos(40°) +y·cos(55°) = 700
In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.
x·sin(40°) - y·sin(55°) = 0
Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.
Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.
Answer:
the answer isn't an integer, but simplified it would be:
