The answers for the exercise shown above are the second option, the third option, the fifth option and the sixth option, which are:
2) <span>Distribute 2 to 9.7 and −4.8x.
3) Combine 3.4 and 19.4.
5) Substract 22.8 from both sides.
6) Divide both sides by −9.6
The steps are shown below:
</span><span>3.4+2(9.7-4.8x)=61.2</span>
3.4+19.4-9.6x=61.2
22.8-9.6x=61.2
228-22.8-9.6x=61.2-22.8
-9.6x=38.4
-9.6x/-9.6=38.4/-9.6
x=-4
Answer:
61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
Step-by-step explanation:
Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.
To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?
Solution :
At 95% confidence the z-value is z=1.96
The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes
The population standard deviation is s=12 minutes
n is the number of sample
The formula of margin of error is given by,

Substitute the value in the formula,




Squaring both side,

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
<span>In a triangle the sum of two sides is always greater than the third side.
12-5 < x < 12+5
7 < x < 17 </span>← answer
Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold