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Dovator [93]
3 years ago
6

A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure

Mathematics
1 answer:
inn [45]3 years ago
4 0

Step-by-step explanation:

perimeter is 4x+6 +20x-8=20x-2

area is 20x^2+22x-12

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The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is
alexira [117]

Answer:

a) And if we replace we got: \bar X= 78

s = 15.391

b) 78-3.25\frac{15.391}{\sqrt{10}}=62.182    

78-3.25\frac{15.391}{\sqrt{10}}=93.818    

So on this case the 99% confidence interval would be given by (62.182;93.818)    

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And if we replace we got: \bar X= 78

And the deviation is given by:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And if we replace we got s = 15.391

Part b

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=10-1=9

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(0.005,9)".And we see that t_{\alpha/2}=3.25

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

78-3.25\frac{15.391}{\sqrt{10}}=62.182    

78-3.25\frac{15.391}{\sqrt{10}}=93.818    

So on this case the 99% confidence interval would be given by (62.182;93.818)    

8 0
3 years ago
Can you create a rectangular prism net with a surface area of 394in
Alina [70]

Answer

now i'm going to say i'm not 100% sure but i think its 168

Step-by-step explanation:

5 0
2 years ago
A portion of a line or Ray that extends from one point to another point is called what
Juli2301 [7.4K]

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

5 0
3 years ago
Read 2 more answers
A pyramid with a square base is cut by a plane that is parallel to its base and is 2 units from the base. The surface area of th
icang [17]

Answer:

  6.83 units

Step-by-step explanation:

Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...

  (height ratio)^2 = 1/2

  ((h -2)/h)^2 = 1/2

  (h -2)√2 = h . . . . . . square root; multiply by h√2

  h(√2 -1) = 2√2 . . . . add 2√2 -h

  h = (2√2)/(√2 -1) ≈ 6.8284 . . . units

The altitude of the original pyramid is about 6.83 units.

7 0
2 years ago
I need to find the resultant matrix
fomenos

the answers are there

i hope it will help you

7 0
3 years ago
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