A large company states in their promotional literature that 80% of their employees have college degrees. If 5 employees are sele
2 answers:
Answer: 0.32768
Step-by-step explanation:
Let x= number of employees have college degree.
Binomial probability formula :
, where p probability of success in each trial , n= sample size, x= number of successes.
As per given , p =0.80 , n= 5 , x=5
Hence , the probability that all 5 will have college degrees = 0.32768
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Answer:
Please refer to the attached diagram for answer.
Step-by-step explanation:
Upper-left coordinates on a rectangle are (-1, 4)
Upper-right coordinates are (3, 4)
Perimeter of rectangle = 24 units
To find:
To draw the rectangle on the coordinate plane.
Solution:
Let the rectangle be ABCD.
So, <em>sides AB = CD and BC = DA</em>
Let Point A has coordinates (-1, 4).
And upper right coordinates will be adjacent to A.
So, let Point B (3, 4).
Let us find the distance between A and B by distance formula:
Where,
AB = 4 = CD
Perimeter of rectangle = Sum of all four sides = 2 (AB+DA) = 24
As it is a rectangle, its adjacent sides will be perpendicular to each other.
When we move from A to B only x coordinate is changing and it has changed by 4 (3- (-1) ) units. (Found by subtracting the x coordinates of the two points.)
Similarly, when we will move from D to A, only y coordinate will change by 8 units. (D is lower left coordinate so add 8 to y)
coordinate will be same as that of A i.e. -1.
So, D will be (-1, -4)
Similarly, when we will move from C to B, only y coordinate will change by 8 units. (C is lower right coordinate so add 8 to y)
coordinate will be same as that of B i.e. 3.
So, C will be (3, -4).
Now, let us draw
A(-1, 4)
B(3, 4)
C (3, -4)
D(-1, -4)
Please refer to the attached diagram for answer.
Answer:
19/13 ft/s ≈ 1.4615 ft/s
Step-by-step explanation:
It may be convenient to choose the time reference as the instant where we want to compute dh/dt. That is, we want to find h'(0).
If w represents the height of the ladder on the wall, we can write two relations: one for w, and one for h, the height of the firefighter.
w² + x² = 13² . . . . . . where x=5+3t is the distance of the foot of the ladder from the wall
h = w·(4 +2t)/13 . . . . where 4+2t is the length along the ladder that the firefighter has climbed
__
Differentiating with respect to time, we get ...
2ww' +2xx' = 0
w' = (-x/w)x' = -3x/w . . . . . solving for w'
and ...
h' = w'(4 +2t)/13 +w(2/13) . . . . . . . using the product rule
h' = (-3x/w)(4 +2t)/13 + w(2/13) . . . . filling in w'
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At t=0, x=5, w=12. and we have ...
h' = (-3·5/12)(4/13) +(12·2)/13 = 19/13 ≈ 1.4615
dh/dt = 19/13 ft/s ≈ 1.4615 ft/s at the given instant
_____
The attachment shows a solution using a graphing calculator. It gives the same result.
