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Temka [501]
3 years ago
13

Can someone plz help me with these

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

11: -20

12: -4/9

13: 15

14:  1/2

15: 9 yards

16: 1/10 m^3 or 0.1 m^3

17: 51 degrees

Step-by-step explanation:

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A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

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>.

The above situation can be represented through binomial distribution;

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

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

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)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

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                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

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The sentence "two times the difference of -18 and 6 amounts to -48" written as an equation is ?
Gennadij [26K]
2 (-18 - 6) = -48

By order of operations (PEDMAS)  the parentheses are calculated first.
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