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Anni [7]
3 years ago
15

The sum of x and 8 is less than 72​

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:

x<84

Step-by-step explanation:

First, write an inequality. We know it is not an equation because of the words "less than". Also, x and 8 are being added because of the word "and". Here's the inequality: x+8 < 72. Now, subtract 8 on both sides so x is isolated. Our simplified inequality looks like this: x < 84.

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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
N+16= -13 solve for n
PIT_PIT [208]

Answer:

n = -29

Step-by-step explanation:

n + 16 = - 13

   - 16    -16

n = -29

6 0
3 years ago
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\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve for x ~

\qquad \sf  \dashrightarrow \: 5x = 3x + 12

[ by vertical opposite angle pair ]

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\qquad \sf  \dashrightarrow \: 2x = 12

\qquad \sf  \dashrightarrow \: x = 12 \div 2

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Therefore, the correct choice is D. 6

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Answer:

The answer is 4.

Step-by-step explanation:

8/3 ÷ 2/3 = 8/3 x 3/2 = 4

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