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algol13
2 years ago
6

Two angles that are directly across from each other when two lines intersect. supplementary angles complementary angles adjacent

angels vertical angles
Mathematics
2 answers:
tatuchka [14]2 years ago
8 0

Answer:

Step-by-step explanation:

Two angles that are directly across from each other when two lines intersect are called vertical angles.  Vertical angles are ALWAYS congruent to each other. Very good thing to know when it comes to proving triangle congruency.

Tanzania [10]2 years ago
4 0

Answer:

If two lines intersect each other, then the vertically opposite angles are equal. Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal. In the statement above, it is given that 'two lines intersect each other'. So, let AB and CD be two lines intersecting at O

Step-by-step explanation:

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Twenty thousand, two and twelve hundredths written in Numeric Form ?
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Answer:

202.12

Step-by-step explanation:

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2 years ago
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Mrs. Peters is buying sets of block's. Four out of every 50 blocks are red.if she buys 275 how many will be red?
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

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s = 0.16

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Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

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Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

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Step-by-step explanation:

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Answer:

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