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LUCKY_DIMON [66]
3 years ago
8

Please answer with steps thank you :)

Mathematics
1 answer:
mart [117]3 years ago
4 0
200×180 =36,000
36,000 / pi (approx 3.14)= 11,459.1559026
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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviat
Harlamova29_29 [7]

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.    

Let us find the sample score that corresponds to z-score of bottom 4%.  

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

z=\frac{x-\mu}{\sigma}

-1.75=\frac{x-5.71}{0.08}

-1.75*0.08=x-5.71

-0.14=x-5.71

-0.14+5.71=x-5.71+5.71

5.57=x

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

1.75=\frac{x-5.71}{0.08}

1.75*0.08=x-5.71

0.14=x-5.71

0.14+5.71=x-5.71+5.71

5.85=x  

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.

7 0
3 years ago
Can someone help me answer this?
andriy [413]

Answer:

m<S = 68 degrees.

m<D = 112 degrees

Step-by-step explanation:

Opposite angles of a parallelogram are equal so:

4x - 4 = 3x + 14      

4x - 3x = 14 + 4

x = 18.

So m < S = 4(18) - 4

= 72-4

= 68 degrees.

Angles on the same side of a parallelogram are supplementary, so

m < D = 180 - 68

= 112 degrees.

7 0
2 years ago
Can anybody correct me if I'm wrong? (I might be mixing my answers / questions up a bit) I also need more to be checked but anyw
stepan [7]
For #32, the answer is the third one because you mixed up your x and y values, you were on the right track though
#33 is the last one
7 0
3 years ago
I need an answer and explanation. A student spends the same amount each week for bus fare. In 5 weeks, he spends $115. Which equ
Nastasia [14]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for X and find the code.
N76 [4]

Answer:

1. x= 8

2. x= 6

3. x= 7

4. x= -8

Code: BECI

Step-by-step explanation:

6 0
3 years ago
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