Answer:
Step-by-step explanation:
This is a binomial probability distribution because there are only 2 possible outcomes. It is either a randomly selected student grabs a packet before being seated or the student sits first before grabbing a packet. The probability of success, p in this scenario would be that a randomly selected student sits first before grabbing a packet. Therefore,
p = 1 - 0.81 = 0.91
n = 9 students
x = number of success = 3
The probability that exactly two students sit first before grabbing a packet, P(x = 2) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 2) = 0.297
Answer:
716in³
Step-by-step explanation:
The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.
For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about <u><em>235.62 cubic inches.</em></u>
For the volume of the other prism, we simply have to do length <em>times</em> height <em>times </em>width, or 6·8·10. That is equal to <em><u>480 cubic inches</u></em>, which is the volume of that prism.
To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.
235.62+480= 715.62in³, or about <em><u>716in</u></em><em>³.</em>
<u><em>Hope this helps.</em></u>
Answer:
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of old shares Jim owns in Gamma Vision Inc = 400
Value of each share = $ 25
Ratio of new shares : old shares after the split = 3:2
2. How many shares will he have after the split and how much will each be worth? Select the best answer from the choices provided.
A. Let's use the ratio provided to calculate the number of new shares Jim will own, this way:
New shares = 400 * 3/2 = 1,200/2 = 600
B. Let's calculate the price of the new share, this way:
The total value of the new shares should be the same than the total value of the old shares, then:
400 * 25 = 600 * x
10,000 = 600x
x = 10,000/600 = 16.67
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Answer:
AB = 6.4
Step-by-step explanation:
Assuming that AB + BC is AC, then we can say the following:
AB + BC = AC
AB + 6.8 = 13.2
AB + 6.8 + -6.8 = 13.2 + -6.8
AB = 6.4
Cheers.
