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FrozenT [24]
3 years ago
9

A farmer uses 36 feet of fencing to build a rectangular rabbit pen. The function A(w)=18w−w2 can be used to find the area of the

pen for a given width, w.
The farmer finds that the average rate of change over the interval w=3 to w=9 is 6.

What does this mean in terms of the dimensions of the rabbit pen?

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

Step-by-step explanation: D

You might be interested in
Uhh I need help, yes ik I’m dumb
Soloha48 [4]

Answer:

1\frac{7}{9}

Step-by-step explanation:

1\frac{1}{3} is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9

Hope that helps and have a great day!

8 0
3 years ago
What’s the range cuz I can’t find it?
galben [10]
Add all the numbers together. And then divide by the answer you get!
5 0
3 years ago
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a
Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = \sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}

                 = {^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}  + .......+ {^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}

                = 0.04541 + ......+0.0000002079

                = 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

4 0
3 years ago
A time for the 100 meter sprint of 14.9 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the
kirza4 [7]

Answer:

Z-score = -1.285

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.6 seconds

Standard Deviation, σ = 2.1 seconds

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

For x = 14.9, we have:

z_{score} = \displaystyle\frac{14.9-17.6}{2.1} = -1.285

A z-score to be unusual if its z-score is less than -2.00 or greater than 2.00.

Thus, the z-score is not unusual as it lies in the range [-2.00, 2.00]

6 0
3 years ago
I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 squ
Alexxandr [17]
<h3>Answer:   11 cans</h3>

======================================================

Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

8 0
3 years ago
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