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natita [175]
3 years ago
13

Write the next three terms of the geometric sequence.

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

5, 1, 0.2

Step-by-step explanation:

Divide the number by 5 to get the next one.

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Left-handedness occurs in about 12% of all Americans. Males are slightly more likely than females to be left-handed, with 13% of
FinnZ [79.3K]

Answer:

a)Both X and Y can be well approximated by normal random variables.

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they are right-handed, or they are left-handed. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability:

Probability of exactly x sucesses on n repeated trials, with probability p.

The binomial probability can be well approximated by normal random variables, using the expected value E(X) = np and the standard deviation \sigma = \sqrt{np(1-p)}

Let X be the number of males (out of the 100) who are left-handed.

n = 100 and p = 0.13. Can be well approximated.

Let Y be the number of females (out of the 80) who are left-handed.

n = 80 and p = 0.11. Can be well approximated.

The correct answer is

a)Both X and Y can be well approximated by normal random variables.

5 0
3 years ago
Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of
Simora [160]

Answer:

The region between a chord and either of its arcs is called a segment the circle.

Angles in the same segment of a circle are equal.

Step-by-step explanation:

Let bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F . 

Now from figure,

∠D = ∠EDF

∠D = ∠EDA + ∠ADF

Since ∠EDA and ∠EBA are the angles in the same segment of the circle.

So  ∠EDA  = ∠EBA

Hence  ∠D = ∠EBA + ∠FCA

Again  ∠ADF and ∠FCA are the angles in the same segment of the circle. 

hence ∠ADF = ∠FCA

Again since BE is the internal bisector of ∠B and CF is the internal bisector of ∠C

So ∠D = ∠B/2 + ∠C/2

Similarly

∠E = ∠C/2 + ∠A/2

and 

∠F = ∠A/2 + ∠B/2

Now ∠D = ∠B/2 + ∠C/2

=∠D = (180 - ∠A)/2

 (∠A + ∠B + ∠C = 180)

∠D = 90 - ∠A/2

∠E = (180 - ∠B)/2

∠E = 90 - ∠B/2

and ∠F = (180 - ∠C)/2

∠F = 90 - ∠C/2

8 0
3 years ago
Please help me with this question
Rainbow [258]

The amount in the account after the given time if compounded semiannually to the nearest cent is $1104.2

<h3>Compound interest </h3>

Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:

A = P(1+r/n)^nt

Given

Principal = $1000

rate r = 5% = 0.05

time = 3years

n = 2 (semi annually)

Substitute the given parameters

A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2

Hence the amount in the account after the given time if compounded semianually to the nearest cent is $1104.20

Learn more on compound interest here: brainly.com/question/24924853

#SPJ1

5 0
3 years ago
How to solve measurements word problems
Lana71 [14]

Use a system of equations


4 0
3 years ago
If you roll a six sided die what is the probability of getting a composite number
astra-53 [7]
2/6 or if simplified 1/3
5 0
4 years ago
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