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steposvetlana [31]
3 years ago
13

Which inequality is equivalent to this one?

Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0

Answer:

D  y-8 +2 ≤ -2+2

Step-by-step explanation:

y-8 ≤ -2

Add 2 to each side

y-8 +2 ≤ -2+2

zzz [600]3 years ago
5 0
<h2>Answer:</h2>

The inequality which is equivalent to the given inequality is:

        D.   y-8+2\leq -2+2

<h2>Step-by-step explanation:</h2>

We are given a inequality as:

               y-8\leq -2

which on simplifying gives.

i.e. on adding 8 on both side of the inequality we get:

      y\leq 6

A)

       y-8+8\geq -2+8

on simplifying we gets:

   y\geq 6

which does not matches the actual inequality.

Hence, option: A is incorrect.

B)

          y-8+8

on solving we get:

y

which is not equivalent to the given inequality.

Hence, option: B is incorrect.

C)

          y-8+2\leq -2+8

on simplifying we get:

 y-6\leq 6

Now on adding both side of the inequality by 6 we get:

    y\leq 12

which again does not matches.

Hence, option: C is incorrect.

D)

          y-8+2\leq -2+2

on simplifying we get:

     y-6\leq 0\\\\i.e.\\\\\\y\leq 6

It matches the actual expression.

      Hence, option: D is correct.

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Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.
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Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

  • A room with dimensions 5.2 m by 4.3 m by 2.9 m
  • The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

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2 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
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Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

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M = z\frac{\sigma}{\sqrt{n}}

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M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

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