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Verizon [17]
3 years ago
6

RATIO OF NUMBER OF SKIERS WHO BOUGHT SEASON PASSES TO THE NUMBER OF SNOWBOARDERS WHO BOUGHT SEASON PASSES IS 1:2

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0
It is 1:2 1/2 1 Am I right or no.

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2
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Step-by-step explanation:

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Which quadrants does the line representing the equation y = 6x pass through?
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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)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

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

                 = <u>0.00617</u>

8 0
3 years ago
Define like terms. Please and thank you.
Step2247 [10]
Like terms: in the case of exponents, the same exponents for different numbers
Like 7x and 8x are like terms.
5x and 6x^2 would be unlike terms
Get it??
Good luck~~
8 0
3 years ago
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20 pounds of lollipops. 20 x .95 = 19, 10 x 1.1 = 11. sorry i'm awful at explaining math.

8 0
3 years ago
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