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jek_recluse [69]
3 years ago
6

About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find

the radius of the region. Round your answer to the nearest tenth.
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Step 1

<u>Find the total area</u>

Total area=(1,150,000/18,075)=63.62 square kilometer

The area of a circle is equal to

A=\pi * r^{2} \\ 63.62= \pi * r^{2}\\r=\sqrt{(63.62/\pi)} \\r=4.5\ km

therefore

the answer is

4.5\ km

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6.92

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3 times 29/pi(2)2

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Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Th
SCORPION-xisa [38]

Answer:

t= 0.4933

t ≥ t ( 0.025 ,8 ) = 2.306

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: ud= 0 Ha: ud≠0

The significance level is set at ∝= 0.05

The test statistic under H0 is

t= d`/ sd/√n

which has t distribution with n-1 degrees of freedom

The critical region is t ≥ t ( 0.025 ,8 ) = 2.306

Computations

Student       Scores before      Scores after    Difference           d²

                        reading book                    ( after minus before)

1                          720                   740             20                       400

2                        860                   860              0                           0

3                        850                   840             -10                       100

4                        880                   920             40                       1600

5                        860                   890             30                        900

6                        710                    720              10                         100

7                       850                    840              -10                       100

8                      1200                  1240             40                        1600

<u>9                      950                    970              20                           40</u>

<u>∑                    6930                  8020           140                         4840</u>

d`= ∑d/n= 140/9= 15.566

sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775

sd= 18.2422

t= 3/ 18.2422/ √9

t= 0.4933

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

7 0
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a 30% sugar syrup is mixed with 10% sugar syrup.The result is 600 g of 15% sugar syrup. How many grams of each syrup are in the
labwork [276]

Answer:

450g of 10% sugar syrup

150g of 30% sugar syrup

Step-by-step explanation:

3 0
3 years ago
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