Answer:
The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Step-by-step explanation:
Let the random variable <em>X</em> denote the water depths.
As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.
The probability density function of <em>X</em> is:
Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:
![=\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B5.00%7D%5Cint%5Climits%5E%7B5.00%7D_%7B2.25%7D%20%7B1%7D%20%5C%2C%20dx%5C%5C%5C%5C%3D0.20%5Ctimes%20%5Bx%5D%5E%7B5.00%7D_%7B2.25%7D%20%5C%5C%5C%5C%3D0.20%5Ctimes%20%285.00-2.25%29%5C%5C%5C%5C%3D0.55)
Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Answer:
$6.72
Step-by-step explanation:
The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice.How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?
1 cup = 16 table spoon of juice
half a cup = 8 table spoon of juice
1 pie require half a cup of lemon juice. so 1 pie requires 8 tablespoon of lemon juice
Each lemon yields about 2 tablespoons of juice
2 times 4 = 8
So 4 lemon needed to make a pie
cost of 1 lemon = 0.56
cost of 4 lemons = 
cost of lemon for making 3 pie= 
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
<u>STEP 1:</u> So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
<em><u>(47.50 x 2 = 95)</u></em>
<u>STEP 2: </u>So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
<em><u>(47.50 ÷ 2 = 23.75)</u></em>
<u>STEP 3:</u> So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
<em><u>(95 + 23.75 = $118.75)</u></em>
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
<u>I HOPE THIS HELPED YOU!</u>
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For this case we have the following expression:
Rewriting the expression we have:
We apply distributive property to the terms of parentheses:
Answer:
