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3 years ago

Using the approximation 3.14 for \pi what is the radius of a circle with circumference 75.4m

Mathematics

1 answer:

Charra [1.4K]3 years ago

3 0

Answer:

The radius of the circle is 12.006 m.

Step-by-step explanation:

Let us assume the radius of the circle = r

Circumference = 75.4 m

Now, CIRCUMFERENCE OF A CIRCLE = 2 π r

⇒ 75 .4 m = 2 π r

Now, putting π = 3.14, we get:

75 .4 m = 2 (3.14) r

⇒ 75.4 = 6. 28 r

or, r = 75.4/6.28 = 12.006

or, r = 12.006 m

Hence, the radius of the circle with circumference 75.4 m is 12.006 m.

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Step-by-step explanation:

The standard error for the difference in means is given by :-

$SE.=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2}}$

where , $\sigma_1$ = Standard deviation for sample 1.

$n_1$ = Size of sample 1.

$\sigma_2$ = Standard deviation for sample 2.

$n_2$ = Size of sample 2.

Let the sample of Latino name is first and non -Latino is second.

As per given , we have

$\sigma_1=82$

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$\sigma_2=101$

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The standard error for the difference in means will be :

$SE.=\sqrt{\dfrac{(82)^2}{9}+\dfrac{(101)^2}{14}}$

$SE.=\sqrt{\dfrac{6724}{9}+\dfrac{10201}{14}}$

$SE.=\sqrt{747.111111111+728.642857143}$

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