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3 years ago

What’s is the missing justification in the proof ?

Mathematics

2 answers:

Kipish [7]3 years ago

5 0

Answer:

By definition of supplementary angles

Step-by-step explanation:

We have to prove that

$\angle 1=\angle 3$

We have to find missing justification in the given proof.

Proof:

Segment CD intersect segment AB

Reason: Given

$\angle 1+\angle 2=180^{\circ}$

$\angle 2+\angle 3=180^{\circ}$

Reason: By definition of supplementary angles

$\angle 1+\angle 2=\angle 2+\angle 3$

Reason: Transitive property

$\angle 1=\angle 3$

Reason: subtraction property of equality

timama [110]3 years ago

3 0

Definition of supplementary angles. Hope this helps. Can you mark me as brainliest if you can? I really appreciate it!

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3 years ago

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

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$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

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2 years ago

Compute the permutations and combinations. 4 P 4 1 4 24

lawyer [7]

The answer is a.
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3 years ago