Answer: The expected value of the water depth is 4.5 m.
Step-by-step explanation:
Let x be a random variable which is uniformly distributed in interval [a,b] .
Then the mean of the distribution is ghiven by :-

Given : While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.
Then, the expected value of the water depth = 
Hence, the expected value of the water depth is 4.5 m.
Answer:
Step-by-step explanation:
Reflection of x axis
1) the new points have the same x coordinates
2) the new point have the opposite y coordinates
P (1;4) ; U (5;0) ; N(2;-1)
<h3>
Answer: 1728 dollars</h3>
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Explanation:
1 yard = 3 feet
We'll divide by 3 to convert from feet to yards
- 27 feet = 27/3 = 9 yards
- 18 feet = 18/3 = 6 yards
The basement is 9*6 = 54 square yards in floor area.
At $32 per square yard, the total cost to carpet the floor is 32*54 = 1728 dollars.
Answer:
<h3>The answer is option B</h3>
Step-by-step explanation:
The nth term of the sequence is
A(n) = 5n + 7
To find the (n+1)st term substitute n+1 into the general equation
That's
<u>For (n + 1)st term</u>
A(n+1) = 5(n+ 1) + 7
A(n+1) = 5n + 5 + 7
<h3>A(n+1) = 5n + 12</h3>
Hope this helps you
1. and 2. is the same question, so the answer to both is <u>direct variation</u>
3. <u>Direct</u> <u>variation</u>
4. <u>Inverse</u> <u>variation</u>
5. I believe it is <u>Inverse</u>, but I'm not 100% certain