Answer:
5 inches
Step-by-step explanation:
11 inches cost 33 cents
x inches cost 15 cents
Note: we let what we are looking for (inches) be "x"
Now, we can set up two ratios (fractions) and equate them to find the inches we can buy for 15 cents.
The set up:
Now we cross multiply and solve for x:
Thus, we can buy 5 inches for 15 cents.
Answer:
. y2 = 12x 40:12 :3 2. x² = -8y 408 3. (x + 2)2 = -4(y-1). \(-2,1) opens v. F-2,0) ... F (0:2). V(0,-2). F(4,2)
Step-by-step explanation:
Answer:
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Step-by-step explanation:
we have the function
where
m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall (in centimeters)
This is a vertical parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes
so
Convert the quadratic equation into vertex form
Factor -1
Complete the square
Rewrite as perfect squares
The vertex is the point (7,49)
therefore
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
(2.4*4)(10^21)
9.6*10^21
Is the answer
Using probability we know that the expected value of the insurance company is $141.
<h3>
What is probability?</h3>
- The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true.
- An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
- Simply put, the probability is the likelihood that something will occur.
- When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes.
- Statistics is the study of events that follow a probability distribution.
So, the expected value of the insurance company:
- Probability = 0.9987
- So, 1.0000 - 0.9987 = 0.0013
Now, get the expected value as follows:
- E(x) = 0.9987 × 154 + 0.0013(-9987)
- E(x) = 153.7998 + (-12.9831)
- E(x) = 153.7998 - 12.9831
- E(x) = 140.8167
Rounding off: $141
Therefore, using probability we know that the expected value of the insurance company is $141.
Know more about probability here:
brainly.com/question/25870256
#SPJ13
The complete question is given below:
There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.
What is the expected value for the insurance company?