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hodyreva [135]
3 years ago
14

if the first qaudrant is you start from is (11,10) nd move 7 left and 5 units down what pont will you end up on?

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

(4, 5 )

Step-by-step explanation:

Moving 7 left is in the x direction and means subtract 7 from the x- coordinate

Moving 5 down is in the y direction and means subtract 5 from the y- coordinate, that is

(11, 10 ) → (11 - 7, 10 - 5 ) → (4, 5 )

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Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

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P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

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So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

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                 = <u>0.00617</u>

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The answer D is correct
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