All categories

3 years ago

Select the letter of the correct answer

Mathematics

1 answer:

Arisa [49]3 years ago

5 0

Answer:

The estimate value of the world's radius is 6384 kilometers ⇒ A

Step-by-step explanation:

The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle

∵ The circumference of the world is 24,901 miles

∵ C = 2πr

- Substitute C by 24,901 to find r

∴ 24,901 = 2πr

- Divide both sides by 2π

∴ $\frac{24,901}{2\pi }$ = r

∴ The radius is 3965.127389 miles

Change the mile to kilometer

∵ 1 mile = 1.60934 kilometers

- Multiply the value of the radius by 1.60934

∴ r = 3965.127389 × 1.60934

∴ r = 6381.238111 kilometers

- Round it to the nearest kilometers

∴ r = 6381 kilometers

The world's radius is 6381 kilometers

The nearest choice for this value is A

The estimate value of the world's radius is 6384 kilometers

You might be interested in

A certain virus infects one in every 200 people. a test used to detect the virus in a person is positive 70% of the time when t

V125BC [204]

We're told that

$P(A)=\dfrac1{200}=0.005\implies P(A^C)=0.995$

$P(B\mid A)=0.7$

$P(B\mid A^C)=0.05$

a. We want to find $P(A\mid B)$ . By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}$

By the law of total probability,

$P(B)=P(B\cap A)+P(B\cap A^C)=P(B\mid A)P(A)+P(B\mid A^C)P(A^C)$

Then

$P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B\mid A)P(A)+P(B\mid A^C)P(A^C)}\approx0.0657$

(the first equality is Bayes' theorem)

b. We want to find $P(A^C\mid B^C)$ .

$P(A^C\mid B^C)=\dfrac{P(A^C\cap B^C)}{P(B^C)}=\dfrac{P(B^C\mid A^C)P(A^C)}{1-P(B)}\approx0.9984$

since $P(B^C\mid A^C)=1-P(B\mid A^C)$ .

4 0

3 years ago

Write an inequality for each graph.

Oksi-84 [34.3K]

x = unknown number (that is a solution/makes the inequality true)

When the inequality sign is </> (less than/greater than), the dot is an open circle.

When the inequality sign is ≤/≥ (less than or equal to/greater than or equal to), the dot is a closed circle.

14.) The line has an open circle on -8, and a closed circle on 11.

-8 < x ≤ 11 [x is any number greater than -8 and less than or equal to 11]

15.) The line has a closed circle on -14 and 5.

-14 ≤ x ≤ 5 [x is any number greater than or equal to -14 and less than or equal to 5]

6 0

3 years ago

Which relationship is always true for the angles x, y, and z of triangle MNP?

Reil [10]

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

4 0

3 years ago

I hate math so much I can’t to be done with this class

Dafna11 [192]

Answer: y= 2 • (1/3)^x-2 -2
hope this helps!

5 0

3 years ago

in a recent year,the untited states census bureau reported that 0.3 percent of the population in the united States was Japanese.

Leya [2.2K]

It is 00.3 as a decimal

5 0

3 years ago