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Scorpion4ik [409]
3 years ago
6

How many 7 digit numbers have6 9 s and no 9 in ones place

Mathematics
1 answer:
Daniel [21]3 years ago
5 0

Answer:

1062882

Step-by-step explanation:

Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :

The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)

So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882

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A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di
Lena [83]

Answer:

Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, \mu = 1.3 cm            and           Standard deviation, \sigma = 0.01 cm

Also, since distribution is normal;

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

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

  P(X < 1.33) = P( \frac{X -\mu}{\sigma} < \frac{1.33 -1.3}{0.01} ) = P(Z < 3) = 0.99865

  P(X <= 1.27) = P( \frac{X -\mu}{\sigma} < \frac{1.27 -1.3}{0.01} ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

                                                                                            = 0.00135

 P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .

Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .

7 0
3 years ago
Will side lengths of 3 cm, 4 cm, and 5 cm form a triangle? explain.
Gelneren [198K]

Yes, that is the famous first Pythagorean triplet: 3²+4²=5²

or

For three lengths to be able to form a triangle, it suffices that every one of those lengths is shorter than the sum and longer than the difference of the other two.

It is enough to check just one side.

So,

3 + 4 > 5

4 - 3 < 5

Your triangle is constructible.

6 0
3 years ago
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valentinak56 [21]

y= 3/8 OR 0.375

Step-by-step explanation:

yes

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3 years ago
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a factory procceses 1560 ounces of Olive oil per hour .the oil is packaged into 24 ounce bottles .how many bottles does the fact
Katarina [22]
One-thousand five-hundred and sixty divided by twenty four is sixty five

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3 years ago
The graph shows y as a function of x:
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Answer:

d

Step-by-step explanation:

y = f(x)

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