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Elanso [62]
2 years ago
15

Which expression has a solution of 6, if r = 4?

Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Answer:

1.

Step-by-step explanation:

1. 4 + 2 = 6

2. 4 - 4 = 0

3. 10 + 4 = 14

4. 4 - 10 = -6

number 1 is the right answer

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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
You spent $529 on several shares of stock. When you sold the stock, you received $725. What was your net profit or loss?
xeze [42]

Answer:

Profit of $196

Step-by-step explanation:

725 - 529 = $196

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3 years ago
What’s the answer to m/-3 + 10 = 11
Ira Lisetskai [31]

Answer:

x=3 and y=4

Step-by-step explanation:

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3 years ago
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Will give brainliest! please answer correctly!
Alinara [238K]

Answer: B

Step-by-step explanation: (2, 12) is the only point where the apples are less than or equal to 6

3 0
3 years ago
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krek1111 [17]

no you are actually doing really good keep it up

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