Answer:
0.04746
Step-by-step explanation:
To answer this one needs to find the area under the standard normal curve to the left of 5 minutes when the mean is 4 minutes and the std. dev. is 0.6 minutes. Either use a table of z-scores or a calculator with probability distribution functions.
In this case I will use my old Texas Instruments TI-83 calculator. I select the normalcdf( function and type in the following arguments: :
normalcdf(-100, 5, 4, 0.6). The result is 0.952. This is the area under the curve to the left of x = 5. But we are interested in finding the probability that a conversation lasts longer than 5 minutes. To find this, subtract 0.952 from 1.000: 0.048. This is the area under the curve to the RIGHT of x = 5.
This 0.048 is closest to the first answer choice: 0.04746.
23.8÷28=0.85
0.85 Liters
every liter is 1000 mililiters.
0.85 Liters is 850 mililiters.
Answer:
x/16 + 10
Step-by-step explanation:
10+(x÷16)
To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times 16/16.
10 x 16 / 16 + x/16
Since 10 x 16 / 16 and x/16 have the same denominator, add them by adding their numerators.
10 x 16 + x / 16
Do the multiplications in 10×16+x.
160 + x / 16 = x/16 + 10
For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:
With the wind against the speed is:
Rewriting both equations, we have the following system of equations:
Then, solving the system of equations (graphically for example), we have the solution is:
Therefore, jet stream's speed:
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h
Answer:
280 degrees.
Step-by-step explanation:
To convert radians to degrees we multiply by 180/pi:
angle O = 14pi/ 9 * 180 / pi
= 14*180 / 9
= 280 degrees.
