Answer: 0.4
Step-by-step explanation:
We know that the standard deviation of the sampling distribution of mean is given by:-
Given : Standard deviation : 
Sample size : n= 25
Then, the standard deviation of the sampling distribution of mean times will be :-
Hence, the standard deviation of the sampling distribution of mean times=0.4
Answer:
244 degrees
Step-by-step explanation:
Since one angle APE is 90 degrees, that means line segments AD and BE are perpendicular bisectors.
Since both segments go through the center, that means all the angles are central angles.
Since angle APE is 90 degrees, that also means that angle EPD is 90 degrees.
33k -9 = 90
33k = 99
k = 3
Since we know k we can substitute it to find angle CPD.
20 k + 4 = 20*3 + 4= 60+4= 64 degrees.
Central angles equal angles of arcs, so we can and angles APE, EPD, and DPC to find the measure of major arc CAD.
64+ 90 +90 = 244 degrees
Answer:
C. 2.8 miles per minute
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Tan = Opposite/Adjacent
In the relevant triangle, the side opposite the angle at the observer is the altitude of the airplane, 2 miles. The side adjacent is the horizontal distance to the airplane. At the first observation, that distance (d1) is ...
... tan(40°) = (2 mi)/d1
At the second observation, the horizontal distance to the airplane (d2) is ...
... tan(50°) = (2 mi)/d2
Solving for d1 and d2 and finding the difference (∆d), we have ...
... d1 = (2 mi)/tan(40°)
... d2 = (2 mi)/tan(50°)
... ∆d = d1 -d2 = (2 mi)(1/tan(40°) -1/tan(50°) ≈ 2·(1.1918 -0.8391) mi
... ∆d ≈ 2°0.3526 mi ≈ 0.7053 mi
This distance was flown by the plane in 15 seconds, so it will travel 4 times this distance in 60 seconds (1 minute).
... ∆d/∆t = (0.7053 mi)/(1/4 min) = 4·0.7053 mi/min ≈ 2.8 mi/min
Answer:
4
Step-by-step explanation:
The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .
So 4 is the constant of proportionality
Answer:
Option A.
Step-by-step explanation:
The given system of equations is
The given equations can be rewritten as
Using comparison method, compare the values of x.
Therefore, the correct option is A.
