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Valentin [98]
2 years ago
12

The four sides of a printed circuit board (PCB) enclosure consist of two pieces selected from a population whose mean length is

30 cm with standard deviation 0.14, and two pieces selected from a population whose mean length is 45 cm with standard deviation 0.31 cm. Assuming the four pieces are chosen independently, the standard deviation of the perimeter is

Mathematics
1 answer:
Dovator [93]2 years ago
6 0

Answer:

Step-by-step explanation:

let X1,X2 represents the length of two pieces selected from a population

the mean and standaerd deviation for the length of these two pieces X1,X2 is 30 cm and 0.14 cm

 

let X2,X3 represents the length of two pieces selected from a population

the mean and standaerd deviation for the length of these two pieces X2,X3 is 45 cm and 0.31 cm

To be continued on the attachment:

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the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use
Vadim26 [7]
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
5 0
2 years ago
With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac
valkas [14]

Answer:

a = $31.23 per month

b = $20.83 per month

c = 249.98 = $249.98 interest charges

                   = $624-249.98 = 374.02 profit part decrease 8% inc.                  

d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08   = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

624.75/12 = 52.06 month 1 payment before charge

52.06-20.83 =31.23 total minimum payment

2500 + 249.98

Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)

We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02

33+2.02 = 35.35%

7 0
2 years ago
Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball car
d1i1m1o1n [39]

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2

Putting w = 2b-30 in equation 1

2b-30+b = 87\\3b = 87+30\\3b = 117

Dividing both sides by 3

\frac{3b}{3} = \frac{117}{3}\\b = 39

Putting b=39 in equation 2

w = 2(39)-30\\w = 78-30\\w = 48

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/8799684
  • brainly.com/question/8805387

#LearnwithBrainly

6 0
2 years ago
Find the length of the third side of the right triangle.
lara31 [8.8K]

Answer: you can use Pythagorean theorem , which formula is a^{2} + b^{2} =c^{2}, "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)

<em>Example:</em>

If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:

1) plug the numbers to the formula

4^2 + 6^2 = c^{2}

2) solve the exponents of the numbers given (not the letter, in this case "c")

16 + 36 = c^2

3) combine like terms (in this case 16 +36)

52 = c^2

4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)

\sqrt{52}  = \sqrt{c}

(square root of 52 rounded to the nearest hundred is 7.21)

7.21 = c

<h3><u><em>So  7.21 is your missing side in this example</em></u></h3><h3>look up Pythagorean theorem Khan Academy</h3>
8 0
2 years ago
The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t^2 - 0.5t + 3.
Bingel [31]
The average rate of change (m) is the ratio of the change in function value to the width of the interval:
  m = (f(6) - f(2))/(6 - 2)

To compute this, we need to compute f(6) and f(2).
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  f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
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The average rate of change is 1.5 thousand owners per year.
3 0
2 years ago
Read 2 more answers
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