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konstantin123 [22]
3 years ago
12

A large data sample of heights of US women is normally distributed with a mean height of 64.7 inches and a standard deviation of

2.6 inches.
What is the approximate probability that a randomly selected person in this sample is shorter than 62.1 inches? I need this tonight
Mathematics
1 answer:
mariarad [96]3 years ago
7 0

Answer:0.16

Step-by-step explanation:

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\sf 3:5 \to 3x:5x\\\\3x +5 = 8x\\ 8x = 72\\ x = 9\\\\9\times 3 =27\\9\times 5 =45\\ 27+45=72\\\\so~ the~ 2~ groups ~are~ 27~ and~ 45
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A piece of cardboard is 13 inches by 26 inches. A square is to be cut from each corner and the sides folded up to make an open-t
Vanyuwa [196]

Answer:

Hence the maximum possible volume will be the 778.53 c.c

Step-by-step explanation:

Given:

A rectangle with 13 x 26 dimensions

And corners are cut to form side squares.

To Find:

Maximum possible volume for box

Solution :

Consider a rectangle of 13 x 26 dimension with and side of square  at corner be x.

(Refer the attachment)

Now,

Formulating the volume equation for the box

So corner square sides we are going to fold up which makes height of the box

and remaining part will be length and breadth

As shown in fig,

Length=26-x

breadth=13-x

And height will be x

V(x)=x*(26-x)*(13-x)

To get maximum volume differentiate the above equation,

V(x)=x*(26*13-26*x-13*x+x^2)

V(x)=x^3-39x^2+338x\\

V'(x)=3x^2-78x+338

V''(x)=6x-78

Now ,Solve the Quadratic Equation to get x values,

3x^2-78x+338=0

x=[-b±(b^2-4ac)^1/2]/2a

x=[78±Sqrt[(78)^2-4*338*3)]/2*3

x=[78±Sqrt(3028)]/6

x=[78±55.027]/6

x=78+55.027/6 or x=78-55.027/6

x=22.17  or x=3.8288

Use these values in 6x-78 to know which value posses the max and min value for the function.

So when x=22.17

6x-78=6*22.17-78

=55.02>0  i.e function will have minimum value .

When x=3.8288

6*3.8288-78

=-55.0272<0 i.e. Function will have maximum value

Now, the function will defines the maximum volume

V(x)=x^3-39x^2+338x

V(x)=3.8288^3-39*(3.82883)^2+338*3.8288

V(x)=56.13-571.73+1294.13

V(x)=778.53 C.C

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3 years ago
What is the sum of the infinite series: 1-4+16-64+. . .
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Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

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Solve y−4=3x+5y for y.
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Answer:

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Step-by-step explanation:

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