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Phoenix [80]
3 years ago
11

For exercise, mr.harris walked 1 and 3 fourths miles 5 times last week.how many miles did he walk in all?

Mathematics
2 answers:
Digiron [165]3 years ago
8 0
1(3/4) miles 5 times= 1(3/4)*5= 8 and 3/4 miles
RUDIKE [14]3 years ago
4 0
Well, if he walked one and three fourths miles five times, all you have to do is multiply one and three fourths and five to get your answer.

1 \frac{3}{4}*5 \\  \\  \frac{7}{4}* \frac{5}{1}    \\  \\  \frac{7*5}{4*1}  \\  \\  \frac{35}{4} =8 \frac{3}{4}
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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
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Yuki888 [10]

Answer:

Mean=8.8, Median=8

Step-by-step explanation:

How to find the mean:

First, add all the #'s up. 4+9+12+14+7+7=53

Then divide that by the number or numbers. In this case it is 6.

53/6=8.833... So rounded=8.8

Median:

List numbers lowest to highest

4, 7, 7, 9, 12, 14

Go to the middle number.

Since it is between 7 and 9, it is 7+9=16. 16/2=8

8 is the median

8 0
2 years ago
What is the square root of 683
Mashutka [201]

Answer:

The square root of six hundred and eighty-three √683 = 26.13426869074



4 0
3 years ago
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