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3 years ago

7

5. What is the volume of the pyramid? *

1 answer:

rjkz [21]3 years ago

7 0

Step-by-step explanation:

jawabannya

336 in 3

cuma di kali kali

8×7×6=336

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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

lions [1.4K]

Answer:

b=9,a=12

Step-by-step explanation:

I solved by substitution:

b = 3/4a ---> plug this into the other equation

a + b = 21 is now a + 3/4a = 21

Reduce: 7/4a = 21

a = 12

Now solve for b:

b=3/4a is now b=3/4(12)

b=9

6 0

3 years ago

Read 2 more answers

Solve the formula d = rt for r.

natita [175]

R= d/t
you just divide both sides by t to isolate r

6 0

3 years ago

You employ 28 people making an average of $33,000 per year. You want to give every employee a 5% increase for next year. What wi

PilotLPTM [1.2K]

I think the average would increase by $1,650. 5% of 33000 is 1,650. So the the total amount would increase by that.

3 0

3 years ago

Evaluate 10 m +\frac {n^2}410m+ 4 n 2 10, m, plus, start fraction, n, start superscript, 2, end superscript, divided by, 4, en

DerKrebs [107]

Evaluate the expression $10m + \frac{n^2}{4}$ where m=5 and n=4

We replace the value of m and n to evaluate

m=5 and n=4

$10m + \frac{n^2}{4}$

$10(5) + \frac{4^2}{4}$

$50 + \frac{16}{4}$

50 + 4 = 54

The value of the given expression is 54 when m=5 and n= 4

5 0

3 years ago