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Oksana_A [137]
3 years ago
5

Don’t know !!! Please help!!!

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0
He has to get at least a 95 on the third test
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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
Plz Help me<br><br>3x + 5y = 13 <br>2x + y = 4​
Finger [1]

Answer:

solve simultaneously

start by labeling them equation 1 and 2 then choose whether you want to make x or y the subject from knew of the equations

7 0
2 years ago
I just need help explaining it. solve the system of equation
Maksim231197 [3]

SOLUTION

Write out the equation

\begin{gathered} y=\frac{1}{3}x-3 \\ 5x-3y=-3 \end{gathered}

To solve this system of equation, the aprropriate method will be substitution

Substitute the expression for y into the second equation for y, we have

5x-3(\frac{1}{3}x-3)=-3

Expand the paranthesis we have

\begin{gathered} 5x-x+9=-3 \\ \text{Simplify},\text{ by subtracting 9 from both sides } \\ 4x+9-9=-3-9 \\ 4x=-12 \end{gathered}

Divide both sides by 4, we have

\begin{gathered} \frac{4x}{4}=-\frac{12}{4} \\ \text{Then} \\ x=-3 \end{gathered}

Since the value of x has been obtained, we substitute into the first equation

\begin{gathered} y=\frac{1}{3}x-3 \\ \text{ recall x=}-3 \\ y=\frac{1}{3}(-3)-3 \\ y=-1-4 \\ \text{Hence } \\ y=-4 \end{gathered}

Therefore

x = -3, y= -4

6 0
11 months ago
When it is raining outside, you tend to stay in and watch TV. The number of hours of TV that you watch in a given week is twice
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

the answer is 74

7 0
3 years ago
For which of the following values of x is the function f(x)=
Irina18 [472]
Simplify, and put your answer in terms of i.
5 0
3 years ago
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