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aniked [119]
3 years ago
7

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 20 in. by cu

tting out equal squares of side x at each corner and then folding up the sides.
I found the function that models the volume V of the box
V(x) =4x^3-68x^2+280x

But I'm having trouble with finding the the values of x for which the volume is greater than 210 in^3. (Round your answer to three decimal places.)

AND finding the largest volume that such a box can have. (Round your answer to three decimal places.)
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
VOLUME IS L × W × H

KNOW THAT OKAY 

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A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
SOVA2 [1]
6 and 10 because 6 times 10 is 60 and 6 plus 6 plus 20 plus 10 is 32
4 0
3 years ago
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Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
3 years ago
Whats the value of T in -1+14+-3t+10
Ira Lisetskai [31]

Answer:

how can I find the value of t when it is not equated

Step-by-step explanation:

still on that

6 0
3 years ago
You need to write an essay that has at least 500 words. You have written 285 words so far. Write and solve an inequality that re
BabaBlast [244]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

w+285\geq 500

Solve for w

Subtract 285 both sides

w\geq 500-285\\w\geq 215

The minimum number of words left to write is 215

4 0
4 years ago
–42t + 80t + –59t − –97 = –29
Aleksandr [31]

Answer:

Hope this helps

Step-by-step explanation:

t=6

5 0
3 years ago
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