The value of this equation is: 4
Answer: 4
The answer is: " x < -3 " .
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Explanation:
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Given:
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" 9(2x + 1) < 9x – 18 " ;
First , factor out a "9" in the expression on the right-hand side of the inequality:
9x – 18 = 9(x – 2) ;
and rewrite the inequality:
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9(2x + 1) < 9(x – 2) ;
Now, divide EACH SIDE of the inequality by "9" ;
[9(2x + 1)] / 9 < [9(x – 2)] / 9 ;
to get:
2x + 1 < x – 2 ;
Now, subtract "x" and add "2" to each side of the inequality:
2x + 1 – x + 2 < x – 2 – x + 2 ;
to get:
x + 3 < 0 ;
Subtract "3" from EACH SIDE ;
x + 3 – 3 < 0 – 3 ;
to get:
" x < -3 " .
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Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08

The null and alternate hypothesis are:

We use one-tailed z test to perform this hypothesis.
Formula:

Now, 
Since,

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.
Answer:
10 hours
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = 75 km/h * 8 h = 600 km
t = d/s
t = 600 km/(60 km/h) = 10 h
Answer: 10 hours