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3 years ago

9

Suppose the diameter of a circle is \color{green}{4}4start color green, 4, end color green. what is its radius?

2 answers:

pentagon [3]3 years ago

7 0

<span>The formula for calculating the radius of a circle given its diameter is radius equals diameter divided by two. Using the information given of a circle with a diameter of four, the radius is four divided by two, or two.</span>

taurus [48]3 years ago

5 0

By definition we have the relationship between the diameter of a circle and its radius is as follows:
r = d / 2
where
r: radio
d: diameter
Since the diameter of the circle is 4, then the radius will be given by
r = (4) / 2 = 2
answer
the radius of the circle is 2 units.

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In a recent survey, 66% of the community favored building a health center in their neighborhood. Suppose 12 citizens are randoml

ipn [44]

Answer:

0.1197 = 11.97% probability that exactly 10 of the 12 individuals favor building the health center

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

66% of the community favored building a health center in their neighborhood.

This means that $p = 0.66$

12 citizens

This means that $n = 12$

What is the probability that exactly 10 of the 12 individuals favor building the health center?

This is P(X = 10).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{12,10}.(0.66)^{10}.(0.34)^{2} = 0.1197$

0.1197 = 11.97% probability that exactly 10 of the 12 individuals favor building the health center

4 0

4 years ago

Find the product.<br> (y - 2bs^2) (y + 3bs^2)<br> Enter the correct answer.

Vikentia [17]

Answer:

y² + bs²y - 6b²s⁴

General Formulas and Concepts:

Expand by FOIL (First Outside Inside Last)
Exponent Power Rule: $(b^m)^n=b^{mn}$

Step-by-step explanation:

<u>Step 1: Define expression</u>

(y - 2bs²)(y + 3bs²)

<u>Step 2: FOIL</u>

First: y · y = y²
Outside: y · 3bs² = 3bs²y
Inside: -2bs² · y = -2bs²y
Last: -2bs² · 3bs² = -6b²s⁴

<u>Step 3: Simplify</u>

Combine: y² + 3bs²y - 2bs²y - 6b²s⁴
Combine like terms: y² + bs²y - 6b²s⁴

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3 years ago

Help! I need this done immediately!

wel

Answer:

280

Step-by-step explanation:

4 0

3 years ago

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The price of a notebook has dropped to $3.45 today. Yesterday's price was $3.95. Find the percentage decrease. Round your answer

elena-14-01-66 [18.8K]

50% decrease because 95-45=50

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3 years ago

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if the circumference of a round barn is 56 meters, what is the diameter of the barn to the nearest whole number? use 3.14 for pi

jeka57 [31]

circumference = 2 x pi x r

56 = 2 x 3.14 x r

56 = 6.28 x r

r = 56/6.2

r = 8. 917

d = 8.917*2 = 17.8

diameter = 18 meters

7 0

3 years ago