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Ilya [14]
3 years ago
11

Is the sequence 5,9,15,..an arthmetric sequence explain

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0
Is not because  9 - 5 = 4; 15 - 9 = 6; 4 is not equal with 6!
anzhelika [568]3 years ago
5 0
If a, b, c is an arithmetic sequence then a + c = 2b

a = 5, b = 9, c = 15

subtitute

a + c = 5 + 15 = 20
2b = 2 · 9 = 18

20 ≠ 18

Answer: The sequence 5, 9, 15 is not an arithmetic sequence.
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Which describes an isometric transformation? dilation/ rotation/ side length change/ angle change
Westkost [7]

Answer:

  rotation

Step-by-step explanation:

"Isometric" means all measures stay the same.

  • dilation changes all lengths
  • <em>rotation changes no measures -- an isometric transformation</em>
  • side length change obviously changes the length of a side
  • angle change obviously changes the measure of an angle
7 0
3 years ago
Solve for Х.<br> 16<br> 20<br> A 25.6<br> В<br> 6<br> С<br> 12<br> D 15
777dan777 [17]

Answer:

12 which is on C

Step-by-step explanation:

use pathogoras theorem

a^2+b^2=c^2

16^2+b^2=20^2

256+b^2=400

b^2=400-256

b^2=144

b= square root of 144

b= 12

7 0
3 years ago
In collin county there are approximately 834,000 people. If about 30,000 are under the age of 25 what fractional part are above
tresset_1 [31]
Do 30000 divided by 834000 times .1
3 0
3 years ago
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure
Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that 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.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that p = 0.0131

We wanto to find, with n = 100:

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675

P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551

P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that p = 0.0087. So

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

P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174

P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663

P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0
3 years ago
A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57%
faltersainse [42]

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

8 0
3 years ago
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