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1 year ago

9

What is the mean absolute deviation of the data in Table 3 (Number of Siblings)?

1 answer:

EastWind [94]1 year ago

5 0

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: Idata value -

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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

f a storm window has an area of 400 square inches, what are the dimensions if the window is 12 inches wider than it is high (w x

anzhelika [568]

Well if the window is 40 x 10 the L is 52 and the w 22

5 0

2 years ago

Read 2 more answers

This is 7th grade math, I really need to know this thanks!

Fynjy0 [20]

Answer:

Step-by-step explanation:

30*15%=9/2=4.5

so 4.5 would be travelling outside of New York

this gives 30-4.5=25.5 that are not traveling

5 0

3 years ago

What is 589 times 85

babunello [35]

Answer:

50065

Step-by-step explanation:

5x500 is 2500, 5x80 is 400, 5x9 is 45. 80x500 is 40000, 80x80 is 640, 80x9 is 720. I split them all up and when you add them it makes 50065

8 0

3 years ago

Please help me please answer it correctly

Kruka [31]

Answer:

$1,150

Step-by-step explanation:

<u>Step 1: Find the total new members</u>

40 - 10

30 new members

<u>Step 2: Add them to the total</u>

30 + 200

230 total members

<u>Step 3: Find the money earned</u>

230 * 5

$1,150

Answer: $1,150

8 0

3 years ago