To solve this problem you must apply the proccedure shown below:
1. Let's call:
x the first number and and the other number 46-x
2. Then, the product of both numbers is:
y=x(46-x)
3. When you apply the distributive property, you obtain:
y=46x-x^2
4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.
5. Then, you have:
h=-b/2a
h=-46/2(-1)
h=23 (x coordinate)
6.Then:
y=46x-x^2
y=46(23)-(23)^2
y=529
Therefore the answer is: 23 and 529.
Yesterday,Bethany sent 60 messages. She said that 15% of those messages were to her best friend.=> 60 messages is the total number of messages he sent=> 15% = 15% / 100% = .15Question: How many text messages did Bethany send to her friend yesterdaySolutions:=> 60 * .15 = 9 messages were sent to his friend.and the rest were sent to someelse.<span>
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Answer:
b) Binomial
c) Poisson
Step-by-step explanation:
The geometric distribution is the number of trials required to have r successes. The measures the number of sucesses(wins), not the number of trials required to win r games. So the geometric distribution does not apply.
For each match, there are only two possible outcomes, either the skilled player wins, or he does not. The probability of the skilled player winning a game is independent of other games. So the binomial distribution applies.
We can also find the expected number of wins of the skilled player, which is 15*0.9 = 13.5. The Poisson distribution is a discrete distribution in which the only parameter is the expected number of sucesses. So the Poisson distribution applies.
So the correct answer is:
b) Binomial
c) Poisson
Answer:
Volume of the rectangular prism = 2366 cubic inches
Explanations:
The volume of a prism = Base Area x Height
In this case, the base area is referred to as the face area
Base area = 169 square inches
Height = 14 inches
Volume of the prism = 169 x 14
Volume of the rectangular prism = 2366 cubic inches
