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Which of the following is considered one of the undefined terms of geometry?rayanglelinecircumference

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The last one that’s what I learned


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For every problem-solving activity it’s crucial that no less than five alternatives be considered. True False

Problem-solving activity includes

1.Understanding the problem,that is nature of the problem, then Completely define in your own way.

2. Determining why this problem has accrued,

3.  Identifying the ways to solve the problem,

4. Prioritizing the given alternatives that is ways  and then arranging the alternatives for a solution,

5. Then applying the best solution or arrangement for the given problem.

There are two ways considered for  problem-solving activity

(1). Trial and Error  (2) Reduction in steps

It totally depends on the kind of problem , which you are solving. There may be Less than  five alternatives  ,equal to  five alternatives or more than  five alternatives to solve the problem.

Option B: False

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1. Which best describes the relationship between the successive terms in the sequence shown? 9, –1, –11, –21, … a)The common difference is –10. b)The common difference is 10. c)The common ratio is –9. d)The common ratio is 9. 2. A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula? a)1, –5, 25, –125, … b)2, 10, 50, 250, … c)3, –2, –7, –12, … d)4, 9, 14, 19, …

Q1. The answer is a)The common difference is –10. 

Let’s calculate the common difference (c):
c = f(n + 1) – f(n)

9, –1, –11, –21, …
-1 – 9 = -10
-11 – (-1) = -11 + 1 = -10
-21 – (-11) = -21 + 11 = -10

Q2. The answer is 

c)3, –2, –7, –12, …

f(n + 1) = f(n) – 5
f(n + 1) – f(n) = -5
c = f(n + 1) – f(n)So, the common difference is: c = -5

Let’s check all choices:
a) c = -5 – (-1) = -5 + 1 = -4         INCORRECT
b) c = 10 – 2 = 8                        INCORRECT
c) c = -2 – (-3) = -5
    c = -7 – (-2) = -5
    c = -12 – (-7) = -5                    CORRECT
d) c = 9 – 4 = 5                          INCORRECT

Posted in Mathematics

A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%. Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.

This may help you

ince the exam creator claims that on the same exam, nine times out of
ten, seniors will have an average score within 6% of 80%, that means
there is a 90% confidence interval.
9 / 10 = .90 = 90%
90% = 1.645
1.645 * .9 = 1.4805
Margin of Error – 1.4805
and The margin of error is the distance from x-bar, the center of the
confidence interval ,to the end of the interval. This distance is 6% of
80% which is given by:
80×6100=4.8
Therefore the margin of error is 4.8% and the confidence interval is:
({80 – 4.8}%, {80 + 4.8}%)

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Solve in terms of x and Y

To solve for y in terms of x, the y variable must be alone on the left side of the equation. In the sample problem, subtract 8 from each side. The equation then becomes 4y = 1 – 5x.

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