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Alexandra [31]
3 years ago
15

If line MO bisects angle PMN, angle PMN =74 and angle OMN =(2x+7)

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer:

<h2>15</h2>

Step-by-step explanation:

We can find the value of x from the question

If If line MO bisects angle PMN at M, then <PMO = < OMN  and

<PMO + < OMN = <PMN

The equation then becomes;

<OMN + < OMN = <PMN

2<OMN = <PMN

Given

angle PMN =74 and

angle OMN =(2x+7)

Substituting the values into the formula to get x

2(2x+7) = 74

open the bracket

4x+14 = 74

Subtract 14 from both sides

4x+14-14 = 74-14

4x = 60

x = 60/4

x = 15

Hence the value of x is 15°

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3 years ago
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 part
nalin [4]

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

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P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

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z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

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Answer:

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Step-by-step explanation:

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