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3 years ago

15

I NEED THIS DONE, PLEASE SHOW ALL WORK!! PICTURE 1 IS FOR QUESTION 3 AND PICTURE 2 IS FOR QUESTION 2. THANK YOU

1 answer:

Artemon [7]3 years ago

3 0

Answer:

See explanation

Step-by-step explanation:

<u>Question 1. </u>Write two-column proof.

Statement Reason

1. $4x=8(x-2)$ Given

2. $4x=8x-16$ Distributive Property of Equality

3. $4x-8x=8x-8x-16\\ \\-4x=-16$ Subtraction Property of Equality

4. $x=4$ Division Property of Equality

<u>Question 2.</u>

Statement Reason

1. $m\angle SQR = 55^{\circ}$ Given

2. $m\angle PQS = 35^{\circ}$ Given

3. $m\angle SQR+m\angle PQS=m\angle PQR$ Angle Addition Postulate

4. $m\angle PQR=55^{\circ}+35^{\circ}\\ \\m\angle PQR=90^{\circ}$ Substitution Property of Equality

5. $\angle PQR$ is a right angle Definition of a right angle

6. $\triangle PQR$ is a right triangle Definition of a right triangle

<u>Question 3:</u>

Statement Reason

1. $\angle 1$ and $\angle 2$ are supplementary Given

2. $m\angle 1+m\angle 2=180^{\circ}$ Definition of supplementary angles

3. $m\angle 1=27^{\circ}$ Given

4. $27^{\circ}+m\angle 2=180^{\circ}$ Substitution Property of Equality

5. $27^{\circ}-27^{\circ}+m\angle 2=180^{\circ}-27^{\circ}\\ \\m\angle 2=153^{\circ}$ Subtraction Property of Equality

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The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the rig

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we know that

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Pie

Answer:

On average it will take 13 hrs 53 minutes before the van is filled

Step-by-step explanation:

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Using the poisson process, that would be;

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where λ is the poisson rate of production which is 300 per hour

and p is the probability that the produced bulb is defective = 0.012

So the number of defective bulbs produced within the hour = 0.012 * 300 = 3.6 light bulbs per hour

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What we need to find however is E(X)

Thus, the expected value of a gamma random variable X with the parameter (x, λ) is;

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Thus the amount of time it will take before the Can will be filled is 13 hrs 53 minutes

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