P(10 ≤ x ≤ 26) = 0.94083
First, let's determine how many standard deviations each of the limits are
(10 - 15.7) / 3.6 = -1.583333333
(26 - 15.7) / 3.6 = 2.861111111
So the probability of x being between 10 and 26 is the area covered by a normal distribution curve from -1.58333 to 2.86111. Using a standard normal table, look up the values -1.58 and 2.86.
For the curve from infinity on the left to 2.86, you get the value 0.99788 which means that 99.788% of the curve is to the left of that point.
For the curve from infinity on the left to -1.58, you get the value 0.05705 which means that 5.705% of the curve is to the left of that point.
Since we want the area between those two points, we can simply subtract.
So:
0.99788 - 0.05705 = 0.94083
So p(10 ≤ x ≤ 26) = 0.94083
Answer:
The domain window setting that would be appropriate to graph the function is;
= -90°, = 270°
Step-by-step explanation:
The given equation is y = 4·sin(3·x)
We note that one period of the sine function = 2·π = 360°
Therefore, if we wanted to graph the above function for exactly three periods, then we should have;
The domain of the function will be from 0 to 3 × 360
Minimum value of 3·x = 0,
Maximum value of 3·x= 3 × 360°
Therefore;
Minimum value of x = 0°/3 = 0° and maximum value of x = 3 × 360°/3 = 360°
Which gives the extent of the domain as 360°
The appropriate domain window setting to graph the function therefore, = -90°, = 270° as the extent is 270 - (-90) = 360°
Answer:
fankssss
Step-by-step explanation:
Answer:
8/7 or 1 1/7
Step-by-step explanation:
4/1 x 2/7 = 8/7
2 42/100 turn it to a fraction