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Vedmedyk [2.9K]
3 years ago
13

The radius of a circle is increased from 8.008.00 to 8.038.03 m. Estimate the resulting change in​ area, and then express the es

timate as a percentage of the​ circle's original area. The estimated change in area is nothing msquared2.
Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

Step-by-step explanation:

The area of a circle is expressed as

Area = πr^2

Where r = radius of the circle

π = constant = 3.14

The radius of a circle is increased from 8.00800 to 8.03803 m. This means that the original radius of the circle is 8.00800 and the new radius of the circle is 8.03803

Area of original circle =

3.14 × 8.00800^2 = 201.36212096

Area of new circle =

3.14 × 8.03803^2 = 202.87516852203

Increase in area = 202.87516852203 - 201.36212096

= 1.51304756203

Expressing the change as a percentage, it becomes

1.51304756203/201.36212096 ×100

Percentage change = 0.75 %

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In a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Interne
Sergio [31]

Answer:

Step-by-step explanation:

Given that in  a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Internet in a typical week (Ipsos Reid, August 9, 2005). The mean of the sample observations was 12.7 hours.

a) H_0: \bar x =12.5\\H_a: \bar x >12.5

(right tailed test at 5% level)

\sigma = 5\\std error = \frac{5}{\sqrt{1000} } \\=0.158

test statistic Z = Mean diff/std error = 1.265

(Here z test is used because sigma is known)

p value = 0.103

Since p >0.05, we accept H0

b) Here s= 2 hours.

But sample size is very large so z test is used.

Std error = \frac{2}{\sqrt{1000} } \\=0.0632

Test statistic = 3.16

p value =0.000783

since p <alpha, H0 is rejected

c) Because std deviation was less in part B, we got p value very low thus making us reject H0 in part B.

6 0
4 years ago
The total number of hours tea that Trent has practiced his guitar after D days is modeled by the equation shown t=3d
fredd [130]

Answer:

The complete table is

d               t

1               3

3              9

5              15

Step-by-step explanation:

Here is the correct and complete question:

The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.

Complete the table below.

d               t

1

3

               15

Step-by-step explanation:

For the first space, we are to determine the value of t when d is 1

From the given equation, t = 3d, put d = 1 and determine t

t = 3d

∴ t = 3(1) = 3×1

t = 3

For the second space , we are to determine the value of t when d is 3

Put d = 3 in the equation to determine t

t = 3d

∴ t= 3(3) = 3×3

t = 9

For the third space, we are to determine the value of d when t is 15.

Put t = 15 in the equation and then find d

t = 3d

∴ 15 = 3d

Divide both sides by 3

15/3 = 3d/3

5 = d

∴ d = 5  

4 0
3 years ago
What ratio is equivalent to 15/40?​
sladkih [1.3K]

Answer:

well for me

Step-by-step explanation:

I think it's 3/8

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3 years ago
What is the probability o an event that is certain
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7 0
3 years ago
Solve x + x + 2 + 2x = -2 for x
kakasveta [241]

Answer:

-1

Step-by-step explanation:

4x=-4

X = - 1

That's itt

8 0
3 years ago
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