X miles per hour - <span> speed of the boat in still water
(x - 2) - speed up the river
(x + 2) - speed down the river
</span>

=

30 * (x + 2) = 38 * (x - 2)
30x + 60 = 38x - 76
- 8x = - 136
x =
17 miles per hour - <span>
the speed of the boat in still water.</span>
Answer:
x^3+6x^2+11x+12
Step-by-step explanation:
(x+4)(x^2+2x+3)
=x(x^2+2x+3)+4(x^2+2x+3) [by multiplying with bith sides]
=x^3+2x^2+3x+4x^2+8x+12
=x^3+2x^2+4x^2+3x+8x+12
=x^3+6x^2+11x+12
(please mark me brainliest)
Answer:
For inch/min =0.9167 inch/min
For min/inch = 1.0908 min/inch
Step-by-step explanation:
The snail in the race traveled 11/6 inches in 2 minutes.
The number of inches per minute is equal to = (11/6)/(2)
= 11/12
=0.9167 inch/min
The number of minutes per inch is equal to = 1/(inch per min)
= 1/0.9167
= 1.0908 min/inch
Minutes per inch is gotten by taking the inverse of inch/min or dividing the number of minutes by number of inches
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.