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mel-nik [20]
3 years ago
9

The thickness of a part is to have an upper specification of 0.925 and a lower specification of 0.870 mm. the average of the pro

cess is currently 0.917 with a standard deviation of 0.005. what is the probability that the product specification will be above 0.90 mm?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0
To solve this problem, we make use of the z statistic. The formula for the z score is:z score = (x – u) / swhere x is the sample value = 0.90, u is the sample mean = 0.917, and s is the standard deviation = 0.005
Therefore:z score = (0.90 – 0.917) / 0.005z score = -3.4
From the standard probability tables, the p-value for a right tailed test of z = -3.4 is:P = 0.9997
Therefore there is a 99.97% chance that it will be above 0.90 mm
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emmasim [6.3K]

Answer: 200\ cm^3

Step-by-step explanation:

Given

The dimension of the rectangular prism is

l=5\ cm\\w=10\ cm\\h=4\ cm

The volume of the prism is given by V=l\times w\times h

\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3

Therefore, the volume of the prism is 200\ cm^3.

7 0
2 years ago
please help! I missed one day of class in algebra and missed learning this so I'm really confused! if someone could help me that
Kipish [7]
Perpendicular means it’s opposite reciprocals for example : the slope is 2 then the perpendicular line’s slope would be -1/2 because it flips the number also makes it the opposite sign.

If it’s parallel then the slope would be the same

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7 0
3 years ago
Solve the system by using the technique of ‘elimination’: -2x+5y=-42,7x+2y=30
Gekata [30.6K]

Solve the following system using elimination:

{5 y - 2 x = -42 | (equation 1)

7 x + 2 y = 30 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 2 y = 30 | (equation 1)

-(2 x) + 5 y = -42 | (equation 2)

Add 2/7 × (equation 1) to equation 2:

{7 x + 2 y = 30 | (equation 1)

0 x+(39 y)/7 = (-234)/7 | (equation 2)

Multiply equation 2 by 7/39:

{7 x + 2 y = 30 | (equation 1)

0 x+y = -6 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{7 x+0 y = 42 | (equation 1)

0 x+y = -6 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 6 | (equation 1)

0 x+y = -6 | (equation 2)

Collect results:

Answer: {x = 6, y = -6

3 0
3 years ago
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sergij07 [2.7K]
In the table, you can see level 1 is 5 to the first power, level 2 is 5 to the second and go on. 
so in level 6 would be 5 to the sixth power
so the answer to first one is 5^6 
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I hope this is helpful
have a nice day
6 0
3 years ago
HELPPP. : You were given a Starbucks gift card for your birthday. One day, you used the gift card to order 3 drinks that cost $5
dexar [7]

Answer:

The card had 41.60 originally

Step-by-step explanation:

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unless there is tax

7 0
3 years ago
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