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exis [7]
3 years ago
13

What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answ

er to the nearest hundredth.
Mathematics
2 answers:
ziro4ka [17]3 years ago
5 0
The answer to this is <span>80.47. 

</span>
nikitadnepr [17]3 years ago
4 0

Answer:

80.47

Step-by-step explanation:

This is correct! :D

You might be interested in
Math problem help please
diamong [38]

Answer:

I say B.

Step-by-step explanation:

sorry if I'm wrong. Have a nice day :)

3 0
3 years ago
A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxi
Setler79 [48]

Answer:

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7787.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.

The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

6 0
2 years ago
Solve similar triangles advanced part 1​
balu736 [363]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

  ΔABC ~ ΔADE

so the relationship between the sides is ...

  BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

  x/4 = 12/(4+8)

  x = 4(1) = 4

The length of side x is 4.

4 0
3 years ago
John and Emily are brother and sister. John has as many brothers as sisters, and Emily has twice as many brothers as sisters. Ho
spin [16.1K]

Answer:

4 boys, 3 girls

Step-by-step explanation:

brothers of John ⇒ x

sisters of John ⇒ y

John has as many brothers as sisters:

  1. x = y

brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))

sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))

Emily has twice as many brothers as sisters:

  1. 2 (y-1) = x+ 1

Now we have a system of 2 equations and 2 variables

x=y (I)

2y - 2 = x + 1 (II)

____________

Replace x in equation II

2y - 2 = y + 1

2y - y = 2 + 1

y = 3

____________

Replace y in equation I

x = y = 3

That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family

8 0
3 years ago
What is the mean? <br> 19, 16, 24, 12, 16, 21, 18
attashe74 [19]
I'm pretty sure it's 12.
6 0
3 years ago
Read 2 more answers
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