Answer:
1.5 mph
Step-by-step explanation:
Let speed of boat be x
let speed of current be c
Also, note D = RT
D is distance
R is rate
T is time
Now, for first leg, we can write:
(x+c)3 = D
And for second leg , we can write:
(x-c)4.8 = D [note 4 hour 48 minutes is 4.8 hours]
We can equate both D's to get:
(x+c)3 = (x-c)4.8
3x + 3c = 4.8x - 4.8c
7.8c = 1.8x
We know x = 6.5 [given], plugging it in and solving for c:
7.8c = 1.8(6.5)
c = 1.5
Speed of Current = 1.5 miles per hour
Answer:

Step-by-step explanation:
Remember that
1 kg=1,000 g
1 m= 100 cm
The volume of the granite countertop in cubic centimeters is equal to

The density in kg per cubic centimeter is equal to

Multiply the density by the volume


Answer:
a. the probability that any one of the computers will require repair on a given day is constant
Step-by-step explanation:
The following properties must be true in order for a distribution to be binomial:
- A fixed number of trials (125 computers)
- Each trial is independent of the others (one computer requiring repair does not interfere with the likelihood of another requiring repair).
There are only two outcomes (requires repair or do not require repair)
The probability of each outcome remains constant from trial to trial (All computers have the same likelihood of requiring repair, 0.15).
Therefore, the alternative that better fits those properties is alternative a. the probability that any one of the computers will require repair on a given day is constant
Answer:
Answer: The total cost is assuming the cost for 1 adult is and the cost for 1 child is
Step-by-step explanation:
We are given points

and

.
We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts,
then we find the midpoint N of AM, and midpoint K of MB.
Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.
The coordinates of M, N and K are found as follows:
the coordinates of M are:

the coordinates of N are:


similarly, the coordinates of k are: