First, calculate for the area of the base by the equation given,
A = 1/2aP
where A is area, a is apothem, and P is perimeter. Substituting the known values,
A = 1/2(x)(16") = 8x in²
Next, solve for the volume of the prism by the equation,
V = Bh = (8x in²)(10 in)
V = 80x in³
Thus, the volume of the prism is approximately 80x in³.
Answer:
x = -24
Step-by-step explanation:
-14 - x = 10
-x = 24 (by adding 14 to both sides)
x = -24 (by multiplying each side by -1)
Answer:
33.33% probability that a randomly selected movie will be an action movie
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
2 action movies out of 6.
Probability of selecting an action movie.
2/6 = 0.3333
33.33% probability that a randomly selected movie will be an action movie
In total, we have 5+14+48=67 purple balls in 10+50+200=260 trials, so based on our data, purple balls appear with probability 67/260=0.258, so we expect .258*400=103 purple balls to appear in the larger sample.
