Answer:
The expected value of profit is -0.5125. This is expected loss as value is negative.
Step-by-step explanation:
We are given the following in the question:
P(winning) = 0.075
Thus,
P(Loosing) =
If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.
Thus, we can form the probability distribution in the following manner:
Event: Winning Loosing
Profit(x): +5.50 -1
P(x): 0.075 0.925
We have to calculate the expected value of the profit.
Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.
Amount of chemical A mixed in medicine = 9.357 g
Amount of chemical B mixed in medicine = 12.082 g
Amount of chemical C mixed in medicine = 7.502 g
We have to determine the total amount of medicine he prepared in grams.
Total amount of medicine
= 9.357 + 12.082 + 7.502
= 28.941 grams
So, he prepared 28.941 grams of medicine.
Now, we have to round each chemical to the nearest tenth.
Amount of chemical A mixed in medicine = 9.357 g
Rounding to nearest tenth = 9.4 grams
Amount of chemical B mixed in medicine = 12.082 g
Rounding to nearest tenth = 12.1 grams
Amount of chemical C mixed in medicine = 7.502 g
Rounding to nearest tenth = 7.5 grams
Answer:
318 days or 10.6 months,
No, because the time between august and december is 8 months and it would take 10 to complete the tunnel
Step-by-step explanation:
start by determining the slope:
subtract the remaining distance from the total distance to determine distance so far, then divide by time.
m = (3200 - 1700)/5
m = 1500/5
m = 300
y = mx + b
Plug in to solve for x.
3200 = 300x + 0
3200 = 300x
divide y by m. This is x. (this is known as inverse operation if you didnt know already.)
3200 = 300(10.6_)
Each graph has been matched with the logarithmic function it represents as follows:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
<h3>What is a logarithm function?</h3>
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
Read more on logarithm function here: brainly.com/question/13473114
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