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3 years ago

What is the circumference of the circle in the example? 2π 4π 6π

Mathematics

2 answers:

barxatty [35]3 years ago

4 0

Answer: 6π

Step-by-step explanation: it just is, i got this answer on usatestprep and i was rigth

ale4655 [162]3 years ago

3 0

Answer:vssbiubpu buivbub [u bu[b [uib

Step-by-step explanation:

scewsucpsivgeduaigxuygu1yuwgyugvuygquyy3gvdv

You might be interested in

Write the explicit formula for the geometric sequence.

My name is Ann [436]

Answer:

Step-by-step explanation:

the n th term ( explicit formula ) of a geometric sequence is

• $a_{n}$ = $a_{1}$ $(r)^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here r = $\frac{8}{16}$ = $\frac{16}{32}$ = $\frac{1}{2}$ and $a_{1}$ = 64, hence

$a_{n}$ = 64 $(0.5)^{n-1}$ → D

8 0

3 years ago

PLEASE HELP!!! A prism and two nets are shown below: Part A: Which is the correct net for the prism? Explain your answer. (2 poi

Flura [38]

Net A is the correct net.

The surface area of the prism is 72 in squared

SA= 1/2bhH
SA= (0.5)(4)(5)(7.2)
SA= 72 in. squared

4 0

2 years ago

If 20% of the people in a community use the emergency room at a hospital in one year, find

Pie

Answer:

a) 87.91% probability that at most three used the emergency room

b) 20.13% probability that exactly three used the emergency room.

c) 3.28% probability that at least five used the emergency room

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. So we use the binomial probability distribution to solve this question.

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.

Sample of 10 people:

This means that $n = 10$

20% of the people in a community use the emergency room at a hospital in one year

This means that $p = 0.2$

a) At most three used the emergency room

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1074 + 0.2684 + 0.3020 + 0.2013 = 0.8791$

87.91% probability that at most three used the emergency room

b) Exactly three used the emergency room

$P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013$

20.13% probability that exactly three used the emergency room.

c) At least five used the emergency room

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

From 0 to 3, we already have in a).

$P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881$

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 = 0.9672$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9672 = 0.0328$

3.28% probability that at least five used the emergency room

4 0

3 years ago

Write the product in standard form. ( 7 + 7i)( 6 + 7i)

slava [35]

$( 7 + 7i)( 6 + 7i)=42+49i+42i-49=-7+91i$

8 0

3 years ago

Solve for x.<br> ←2x+6<br> X+9<br> x = [?]

Scorpion4ik [409]

Answer:

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

4 0

1 year ago