Answer:
Step-by-step explanation:
For plane A,
Equation that represents the relationship between time 'x' and distance 'y' is,
y = 470x
By comparing this equation with the slope-intercept form of the equation,
y = mx + b
m = slope = 470
b = 0
Here, slope represents the speed of plane A.
Therefore, speed of plane A = 470 mi per hour
For plane B,
From the given table,
Slope of the graph =
=
= 480
Speed of plane B = 480 miles per hour
Since, speed of plane B is more than plane A,
Plane B is flying faster.
Answer:
The correct answer is -9.73°.
Step-by-step explanation:
The procedure is:
sin(x + 34)°=cos(2x+20)°
⇒ tan = 1 ; [assuming cos (2x+20)°
0]
⇒ x + 34 = 45 × ( 2x +20)
⇒ x + 34 = 90x + 900
⇒ 89x = -866
⇒ x = -9.73
and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.
Therefore the value of x is given by -9.73°.
Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am = 30, so
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Between 15 and 25, so:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.