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.
You can solve for C using the law of cosines.
P, Q, and R are the angles of the triangle and p, q, and r are the lengths of the sides of the triangle opposite of the angles. That means p = 10ft, q = 12ft, and r=5ft. The law of cosines states that:
Since we're looking for the measure of angle P, we would use the first equation,
. Plug the values we have for the sides of the triangle into the equation and solve for P:
The measure of angle P is about 55<span>
°.</span>
If u make 3/4 6/8 and 6/8 12/16 you can make 2 servings hope it helps
Distance between Q and R only relies on x-values. So, here we do not need to use the distance formula.
R (6,-4) = (X1, Y1)
Q (-8,-4)= (X2,Y2)
distance= X1-X2
d= (6-(-8)) = (6+8)= 14 units
Answer: The angle of elevation X = 62.7 degrees
Step-by-step explanation: Please refer to the attached picture for details.
The ramp rising from the ground is given as line XZ which is 18 feet. Also it rises 16 off the ground which is also given as line YZ. The angle of elevation of the ground, that is, angle X is the angle formed at point X where the ramp begins to rise. We shall apply the trigonometric ratio to solve for angle X, having been given two sides of the right angled triangle. The side YZ is the line facing the reference angle (opposite) while the side XZ is the line facing the right angle (hypotenuse).
SinX = opposite/hypotenuse
SinX = 16/18
SinX = 8/9
SinX = 0.8888
From your calculator or table of values,
X = 62.7339
Rounded to the nearest tenth of a degree,
X = 62.7 degrees