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KatRina [158]
3 years ago
14

A shoebox is covered with packing paper before being shipped. The paper cost $0.02 per square inch. How much will it cost to cov

er three pairs of shoes?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

It will cost about $0.72 for three pair of shoes assuming shoe box is rectangular shape having 12 square inches of packing paper.

Step-by-step explanation:

  • Assuming a shoe box rectangle in shape and the same size is required.
  • Length of rectangle box assuming to be 4 inches.
  • Width of rectangle box assuming to be 3 inches.
  • as we know area of rectangle is Length * Breath(Width) .
  • 12 square inches is the total packing paper required for each box.
  • To cover cost of three pairs of shoes $0.02 per square inch.
  • Each box would cost about 12 square inches * 0.02 pr square inches.
  • 0.24 square inches of packing paper will be required.
  • let three pairs of shoes be x
  • Total pairs of shoes would be= (12 * 0.02)*x
  • Answer would be for 3 pairs of shoes = 0.24*3 = 0.72 square inches.

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In a parallel circuit et= 240 v ,r = 30 ohms and xl = 40 ohms what is the power factor
SVEN [57.7K]

Answer:

PF=2400 kVA units.

Step-by-step explanation:

Given : In a parallel circuit et= 240 v ,r = 30 ohms and xl = 40 ohms.

To find : What is the power factor?

Solution :

In a parallel rl circuit we have,

Total voltage, et= 240 Volts,

Resistance, r= 30 ohm,

Inductive Reactance, xl= 40 ohm.

In parallel circuit, the voltage across resistor and inductor remains same.

i.e. vr = vl= v= 240 Volts

Using Ohm's Law,

The current across resistor would be ir=\frac{v}{r}

ir=\frac{240}{30}

ir=8\ amp

Using Ohm's Law,

The current across inductor would be il=\frac{v}{xl}

il=\frac{240}{40}

il=6\ amp

Now, Total current would be (it)^2= (ir)^2+ (il)^2

(it)^2= (8)^2+ (6)^2

(it)^2= 64+36

(it)^2= 100

it= 10

The voltage is 240 V and current is A= 10 amp

The power factor is PF=V\times A

PF=240\times 10

PF=2400 kVA units.

4 0
4 years ago
Juanita is saving money for a car. The vehicle she wants costs 7,500 dollars. A relative gave her part of the money she needs be
grin007 [14]
80 * 42 gives you how much she needs to earn = 3360 

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3 0
3 years ago
Read 2 more answers
What is 4pie=w-6 pie
Marina CMI [18]
W= 31.4
Step 1: 4*Pi = 12.566370614359 
Step 2: -6*Pi = -18.849555921539 

Step 3: Rewrite equation (12.566370614359=w-18.849555921539) 
Step 4: Move the number that is equivalent to 6Pi over to the other side of the equal sign to get the variable alone.  (12.566370614359+18.849555921539 = 31.415926535898 ) The problem should now look like this, <span>31.415926535898=w

Step 5: Divide the numbers (which you don't really need to do here since the "number" in front of w is 1. This is helpful to know for future problems though.)

Step 6: Round to the nearest tenths place (or however you need to) giving you the final answer of 31.4 </span>
4 0
4 years ago
Data on oxide thickness of semiconductors are as follows: 426, 433, 415, 420, 420, 438, 417, 410, 430, 434, 423, 426, 412, 434,
Luda [366]

Answer:

a) 423.458

b) 9.53

c) 1.94

d) 424.5

e) 0.2916

Step-by-step explanation:

We are given the following in the question:

426, 433, 415, 420, 420, 438, 417, 410, 430, 434, 423, 426, 412, 434, 435, 432, 409, 426, 409, 436, 422, 430, 411, 415

a) point estimate of the mean oxide thickness

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{10163}{24} = 423.458

b) point estimate of the standard deviation of oxide thickness

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Sum of squares of differences = 2089.958

s = \sqrt{\dfrac{2089.958}{23}} = 9.53

c) standard error of the point estimate

Standard error =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{9.53}{\sqrt{24}} = 1.94

d) point estimate of the median oxide thickness

Sorted data: 409, 409, 410, 411, 412, 415, 415, 417, 420, 420, 422, 423, 426, 426, 426, 430, 430, 432, 433, 434, 434, 435, 436, 438

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Median =

\dfrac{12^{th}+13^{th}}{2} = \dfrac{423+426}{2} = 424.5

e) proportion of wafers in the population that have oxide thickness greater than 430 angstrom

Sample size, n = 24

Number of wafers with oxides greater than 430 angstrom, x = 7

p = \dfrac{x}{n} = \dfrac{7}{24} = 0.2916

7 0
4 years ago
Use the Distributive Property to simplify 5/6(x + 1/2 + 4)
zaharov [31]

5/6(x+1/2+4)

~Multiply

5/6 * x/6 + 5/6 * 1/6

~Simplify

5/36x + 5/36

Best of Luck!

8 0
3 years ago
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