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3 years ago

The circumference of a circle is 60 pi cm. What is the radius of the circle?

Mathematics

1 answer:

Ivenika [448]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is 2 $\pi$ r. So if we know that C=60 $\pi$ then we can trace our steps back. We are given that pi remains constant so we are left with the 2r from the formula and a 60. 60/2 =30.

The radius is 30cm

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

Step(ii):-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

Conclusion:-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

3 years ago

Y= 3x^2 + 24x + 10 3x+y=10

Anton [14]

The will be answer is 132

6 0

3 years ago

What is the value of 11.5

vodomira [7]

Answer:

I don't understand what you are looking for

Step-by-step explanation:

6 0

3 years ago

What are the coordinates of the midpoint of the segment whose endpoints are A(-3,-5) and B(2,7) ?

WARRIOR [948]

It’s A I had this question before

7 0

2 years ago

Is -5.5 an intger beacuse its negative?

balu736 [363]

Answer:

The answer is No.

Step-by-step explanation:

The answer is no because an integer is any whole number that isn't a fraction. So this can be positive and still be an integer.

4 0

3 years ago

Read 2 more answers