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Marina86 [1]
3 years ago
5

The volume of a crate with length of x feet, width of 8 - x feet, and a height of x - 3 feet is given by V(x)=x(8−x)(x−3) find t

he maximum volume of the crate and the dimensions for this volume

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0
First, we need to find the maximum volume. In order to do this, we will first look at the dimensions of x and 8-x in the equation for volume. We can see that as x increases, so does 8-x. This means that there is a positive correlation between them. This also tells us that as x continues to increase, there will be a point where 8-x will equal 0. The maximum volume will occur when 8-x equals 0.

Therefore, the dimensions for the maximum volume are x=8 and x=-3.

Now we can solve for the actual maximum volume:

V max =(8)(8)-(3)(8)=64.

The maximum volume is 64 cubic feet and the dimensions for this volume are 8x=-3
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(a)
mamaluj [8]

Answer:

10=16[ by cost]

Step-by-step explanation: the cost of 10 chairs is x.

the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0
3 years ago
If u=(1,3) and v=(2,6), find u+v
Ronch [10]

Answer:

(3,9)

Step-by-step explanation:

u=(1,3) and v=(2,6),

u+v = (1+2, 3+6)

        =(3,9)

8 0
3 years ago
Read 2 more answers
In 2003, a remote controlled airplane became the first ever to fly nonstop across the Atlantic ocean
aniked [119]
Sorry but you didn’t provide a question, this is a statement.
5 0
3 years ago
Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we
klio [65]

Answer:

P(X>9) = 0.3593

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=25, p=0.3089)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

For this case we want this probability:

P(X >9)

And we can use the complement rule like this:

P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]And we can find the individual probabilities like this:

P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974  

P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011  

P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584  

P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02  

P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049  

P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092  

P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138

P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167

P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"  

And we got:

P(X>9) = 0.3593

4 0
3 years ago
If f(x) = 2x−5, then what is the value of f(2) + f(5)
DochEvi [55]
First of all f(2)=2(2)-5=-1 and f(5)=2(5)-5=5
so
f(2)+f(3)=-1+5=4
7 0
3 years ago
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