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3 years ago

What is the reason for Statement 2 of the two-column proof?

Mathematics

1 answer:

Fantom [35]3 years ago

4 0

Answer:

D. Linear Pair Postulate

Step-by-step explanation:

In the diagram given, angle PQS and angle SQR both form a linear pair. Both angles lie on a straight line. The measure of the angle of a straight line equals 180°. So therefore, two angles of a linear pair will sum up to 180°.

According to the linear pair postulate, <PQS and <SQR are supplementary, since they form a linear pair.

Therefore, the reason for statement 2 for the two-column proof is "Linear Pair Postulate".

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Answer:

176. Multiply 6 by 2 thirds.

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3 years ago

Is the relation shown in the arrow diagram a function? Explain.

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Answer:

We conclude that:

Yes; Each input has only one output.

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

What quotient of 9 and a remainder of 5

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4 years ago

Seventy percent of rivets from vendor A meet a certain strength specification, and 80% of rivets from vendor B meet the same spe

natita [175]

Answer:

0.0307

Step-by-step explanation:

Given data;

Rivets from vendor A = 70%; $P__A$ = 0.7

Rivets from vendor B = 80%; $P__B$ = 0.8

Number of rivets purchased from each vendor (n) =500

Assuming that $Y__A}$ and $Y__B$ represents the mean numbers of rivets that hits the targeted specification.

Using the Central Limit Theorem to evaluate the Binomial distribution of $Y__A}$ and $Y__B$ ; Then:

$nP__A$ = 500 × 0.7

= 350

> 10

$nP__A}(1-P_A)$ = 500 × 0.3

= 150

> 10

$nP__B$ = 500 × 0.8

= 400

> 10

$nP__B}(1-P_B)$ = 500 × 0.2

= 100

> 10

Hence;

$Y__A$ ≅ N ( $nP__A$ , $nP__A}(1-P_A)$ ) = N (350,105)

$Y__B$ ≅ N ( $nP__B$ , $nP__B}(1-P_B)$ ) = N (400, 80)

T = $Y__A$ + $Y__B$

T ≅ N (750, 185)

We are tasked to find out that what is the probability that more than 775 of the rivets meet the specifications; So, we need to determine that P(T > 775); the continuity correction point T = 775.5

The corresponding Z-value is as follows:

$z= \frac{775.5 -750}{\sqrt{185} }$

Z= 1.87

P(T>775) =P(Z>1.87)

= 1 - 0.9693

= 0.0307

∴ the probability that more than 775 of the rivets meet the specifications = 0.0307

8 0

3 years ago