Xp+yp=z. (ignore the period, any answers)

1 answer:

4 0

Xp + yp = z

You are solving for p :)

So, in order to find the value of p, you must get p to it's own side, and isolate it.

Since there are two "p's," you could change "xp + yp" to "p(x + y).

p(x + y) = z

Then, we must divide both sides by x + y

p(x + y) ÷ x + y = z ÷ x + y

Simplify.

p = z/x + y

$p = \frac{z}{x+y}$ \

~Hope I helped!~

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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 = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

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