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swat32
2 years ago
7

I need this answer as fast as you can and explain simple

Mathematics
1 answer:
blondinia [14]2 years ago
4 0

Answer:

A

Step-by-step explanation:

(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.

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From a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper. T
levacccp [35]

Answer:

Max vol = 2 cubic metres

Step-by-step explanation:

Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.

Side of the square = 3m

If squares are to be cut from the corners of the cardboard we have the dimensions of the box as

3-2x, 3-2x and x.

Hence x can never be greater than or equal to 1.5

V(x) = Volume = V(x) = x(3-2x)^2\\= 9x+4x^3-12x^2

We use derivative test to find the maxima

V'(x) = 9+12x^2-24x\\V"(x) = 24x-24\\

Equate I derivative to 0

9+12x^2-24x=0\\x=1/2,3/2

If x= 3/2 box will have 0 volume

So this is ignored

V"(1/2) <0

So maximum when x =1/2

Maximum volume

=9(1/2)+4(1/2)^3-12(1/2)^2\\=2 cubic metres

6 0
2 years ago
The inverse of 2x^3+3
Rashid [163]

2/x ^6-3 you do the opposite of everything

6 0
3 years ago
Read 2 more answers
A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

Now we have everything in order to replace into formula (1):

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
30000 is blank times as much as 30
Sindrei [870]
1000 is the answer !
8 0
3 years ago
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R=7 and t=3 what is the answer using the formula d=rt
Paladinen [302]
R = 7
t = 3
d = rt
d = (7)(3)
d = 21
6 0
3 years ago
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