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dem82 [27]
3 years ago
9

The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the large

r circle. What is the approximate area, in square inches, of the shaded region?
A. 28.27
B. 56.55
C. 63.62
D. 190.85
E 254.47

SHOW EXPLANATION

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:In the following figure, each circle is tangent to the other two circles, and the ... What is the ratio of the shaded region to the nonshaded region? A. 1:01 B. 4:05 C. 5:04 D. 4:π E. π:4. ... The shaded circles are identical, so the radius of a shaded circle is half that of the large circle. As a result, the radius of the large circle is 2x

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A book claims that more hockey players are born in January through March than in October through December. The following data sh
astra-53 [7]

Answer:

\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295

Now we can calculate the degrees of freedom for the statistic given by:

df=(categories-1)=4-1=3

And we can calculate the p value given by:

p_v = P(\chi^2_{3} >18.295)=0.00038

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference of birthdates distributed throughout the​ year

H1: There is a difference between birthdates distributed throughout the​ year

The level of significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total}{4}

And replacing we got:

E_{1} =\frac{67+56+30+37}{4}=47.5

And now we can calculate the statistic:

\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295

Now we can calculate the degrees of freedom for the statistic given by:

df=(categories-1)=4-1=3

And we can calculate the p value given by:

p_v = P(\chi^2_{3} >18.295)=0.00038

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

3 0
4 years ago
Let f(x)=3x^2+6x find f(2)<br><br>A.-4<br>B. 0<br>C. 4<br>D. 8
Anon25 [30]

Answer:

B maybe? that doesnt equal any

Step-by-step explanation:

f(x)=3x^2+6x

f(2)=3(2)^2+6(2)

f(2)=3(4)+12

f(2)=12+12

f(2)=24

7 0
4 years ago
Which relationships describe angles 1 and 2? Select each correct answer.
VashaNatasha [74]

Answer:

D. Adjacent angles and B supplementary

Step-by-step explanation:

This is an adjacent and supplementary angle

Option <em><u>D</u></em><em><u>,</u></em><em><u> </u></em><em><u>B</u></em>

6 0
3 years ago
Write 100,000 as a power of 10. A) 103 B) 104 C) 105 D) 106
mamaluj [8]
 A)10^3 = 10 * 10 * 10 = 1,000
It is not A

B)10^4 = 10 * 10 * 10 * 10 = 10,000
It is not B

C)10^5 = 10 * 10 * 10 * 10 * 10 = 100,000
It could be C

D)10^6 = 10 * 10 * 10 * 10 * 10 * 10 = 1,000,000
It is not D

Your answer is C)10^5

Hope I helped!
3 0
4 years ago
Help me please and thank you
NeX [460]

Answer:

45

Step-by-step explanation:

F(x)=x+3  g(x)=x²-2

((5)²-2)+3(5)+4+3

25-2+15+7=45

4 0
3 years ago
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