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-BARSIC- [3]
3 years ago
13

Can someone explain how this is done?

Mathematics
2 answers:
daser333 [38]3 years ago
5 0

Answer:

x = 2

x < 2

x < 3

Step-by-step explanation:

2x + 5 = 9

Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.

9 - 5 = 4.

Lastly, divide the difference by the number in front of x (2).

2x = 4

4 ÷ 2 = 2

x = 2

--------------------------------------------------------------------------------------------------------------

2x + 5 < 9

Again, subtract 5 from 9.

9 - 5 = 4

Lastly, divide the difference by the number in front of the x (2).

2x = 4

4 ÷ 2 = 2

x < 2

--------------------------------------------------------------------------------------------------------------

4x - 5 < 7

Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.

5 + 7 = 12

Lastly, divide the sum by the number in front of the x (4).

4x = 12.

12 ÷ 4 = 3

x < 3

Musya8 [376]3 years ago
3 0

Answer:

Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of  17.9 cm. Given that the population standard deviation is 0.25 cm.

Let \mu = <u><em>population mean length of  pencils produced in that factory.</em></u>

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The test statistics that will be used here is <u>One-sample z-test</u> statistics because we know about the population standard deviation;

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The value of z-test statistics is -2.68.

<u>Now, the P-value of the test statistics is given by;</u>

         P-value = P(Z < -2.68) = 1 - P(Z \leq 2.68)

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