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3 years ago

The rectangles are similar. Find the length of side e using ratios between the two figures.

Mathematics

1 answer:

Tcecarenko [31]3 years ago

7 0

Answer:
e= 4.8 inches

Step-by-Step Evaluation:
If you look at the ratio from 5 to 9/2, it is 10/9
So, the equation is 16/3 (the corresponding side) =10/9x
Because of this, you take 16/3 x 9/10, and you get 24/5, or 4.8 inches

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4 years ago

If 4 is a root of the quadratic equation

Citrus2011 [14]

Answer:

Step-by-step explanation:

x²-bx-22=0

put x=4

4²-4b-22=0

16-4b-22=0

-4b-6=0

2b+3=0

b=-3/2

x²-3/2x-22=0

2x²-3x-44=0

2x²-11x+8x-44=0

x(2x-11)-4(2x-11)=0

(2x-11)(x-4)

roots are 11/2,4

5 0

3 years ago

g A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estim

kipiarov [429]

Answer:

a) n= 1045 computers

b) n= 442 computers

c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of computers that use the new operating system.

You need to find the best sample size to take so that the proportion of computers that use the new operating system can be estimated with a 99% CI and a margin of error no greater than 4%.

The confidence interval for the population proportion is:

p' ± $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

$Z_{1-\alpha /2}= Z_{0.995}= 2.586$

a) In this item there is no known value for the sample proportion (p') when something like this happens, you have to assume the "worst-case scenario" that is, that the proportion of success and failure of the trial are the same, i.e. p'=q'=0.5

The margin of error of the interval is:

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

$\frac{d}{Z_{1-\alpha /2}} = \sqrt{\frac{p'(1-p)}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2 = \frac{p'(1-p')}{n}$

$n * (\frac{d}{Z_{1-\alpha /2}})^2 = p'(1-p')$

$n= [p'(1-p')]*(\frac{Z_{1-\alpha /2}}{d} )^2$

$n=[0.5(1-0.5)]*(\frac{2.586}{0.04} )^2= 1044.9056$

n= 1045 computers

b) This time there is a known value for the sample proportion: p'= 0.88, using the same confidence level and required margin of error:

$n= [p'(1-p')]*(\frac{Z_{1-\alpha /2}}{d} )^2$

$n= [0.88*0.12]*(\frac{{2.586}}{0.04})^2= 441.3681$

n= 442 computers

c) The additional information in part b affected the required sample size, it was drastically decreased in comparison with the sample size calculated in a).

I hope it helps!

4 0

4 years ago

Strength (hs in)

loris [4]

I think the answer is A

5 0

3 years ago

8.<br> Write 7,062.01 in expanded form

kirza4 [7]

7,000 + 60 + 2 + .01

8 0

3 years ago