In degrees: 3π/4 radians = 135°
Angle of x=135° is in the 2nd Quadrant and has negative cos x values and positive sin x values.
cos 135° = cos ( 90° + 45°)= - sin 45° =
sin 135° = sin ( 90° + 45° ) = cos 45° =
. You can also see the graph in the attachment.
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Answer:
a. 19.68 miles per gallon.
b. 26.32 miles per gallon.
Step-by-step explanation:
Mean gas mileage (μ) = 23.0 mpg
Standard deviation (σ) = 4.9 mpg
In a normal distribution, for any length X, the z-score is determined by the following expression:
In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677
a. The first quartile of the distribution of gas mileage is
19.68 miles per gallon.
b. The third quartile of the distribution of gas mileage is
26.32 miles per gallon.
Answer:
Answers are below
Step-by-step explanation:
x y
0 $25,001.00
1 $25,000.95
2 $25,000.90
3 $25,000.86
I graphed the function on the graph below and found the values of y for each value of x.
*My graph showed that the initial value of the printer was $25,001.00, instead of $25,000.00*
Answer: x < 8/9
Step-by-step explanation:
The equation is 4 * (2x +1) * 4.5 = 50, since the volume is found by multiplying the length, width, and height together, and the =50 part is because our volume can't go above 50 cubic units.
We can simplify 4 * (2x+1) * 4.5 by multiplying 4 and 4.5, which is 18, and then multiplying both 2x and 1 by 18. We get 36x + 18, and we put in the =50, so it is 36x+18=50.
Next, we can subtract 18 from both sides of the equation, giving us 36x = 32.
We then divide the equation by 36 so that we have the x by itself, and we get x = 32/36, which can be simplified to 8/9.
What we're left with is x = 8/9, meaning plugging in 8/9 for the equation would give us 50. However the problem says that the volume must be below 50, so our actual answer is x < 8/9.
