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monitta
3 years ago
13

5 divided by 978 with remainder

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Hi!

978 can't go into 5 at all, so the answer is 0 R: 978

Hope this helps! :)

-Peredhel

lianna [129]3 years ago
4 0

Answer: 3

Step-by-step explanation:

Dividing 978 by 5 will be;

978/5

First, 5 goes in 9 once remaining 4, we will write '1' and keep 4 to have 47 as the next number.

5goes in 47 nine times remaining 2, we will write '9' and keep 2 to have 28 as the next number.

5 goes in 28 five times remaining 3, we will write '5' and 3 will then be the final remainder since there are no other values.

978/5 = 195 reminder 3

Therefore 5 divided by 978 will leave a remainder of 3

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev
Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let \bar X = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean length of rods = 259.2 cm

           \sigma = standard deviaton = 2.1 cm

           n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P(\bar X > 259 cm)

 

     P(\bar X > 259 cm) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{259-259.2}{\frac{2.1}{\sqrt{17} } } ) = P(Z > -0.39) = P(Z < 0.39)

                                                                = <u>0.65173</u>

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

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Step-by-step explanation:

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Step-by-step explanation:

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Since both values are negative, it can be found in the 3rd quadrant

<em>Feel free to mark this as brainliest :D</em>

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3 years ago
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