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Nataliya [291]
3 years ago
13

Identify the variance and the standard deviation of the given data set. Round to the nearest hundredth.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

82.73  v      

9:10 s

Step-by-step explanation:

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If 5+20-22-3x = 10-2-2x + 5, what is the value of x?<br> -3<br> -2<br> 2<br> 3
Olegator [25]

Answer:

-10

Step-by-step explanation:

3 0
3 years ago
What is the explict rule for the sequence 12,22,32,42​
icang [17]

The explicit rule for given sequence is:

a_n=2+10n

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

  • If the difference of two consecutive terms is same then the sequence is arithmetic sequence
  • If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42​

a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference

Putting the values of a1 and d

a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n

The explicit rule for given sequence is:

a_n=2+10n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/1522572
  • brainly.com/question/2491745

#LearnwithBrainly

8 0
3 years ago
Are 7xy and 2yx like terms
Vanyuwa [196]

Answer: no, 7xy and 2xy are not like terms

3 0
3 years ago
Read 2 more answers
For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in
Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is p'(x)=3x^2-9. In particular, the value we are looking for is p'(2)=3(2^2)-9=12-9=3.

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get y=3(x-2)-10=3x-16

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to p'(2)=3.

4 0
4 years ago
How to make 5:___=40:32 an equivalent ratio
docker41 [41]

Answer:

4

Step-by-step explanation:

5 : ? = 40 : 32

40 / 5 = 8

32 / 8 = 4

5 0
4 years ago
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