Answer:
Step-by-step explanation:
from the equation, .
we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e
.
if we integrate both side,
since the equation passes through the origin, and at the origin z=0 and t=0
we substitute this values and solve for the constant c
.
If we substitute the value of c into the equation we arrive at
if we the the natural logarithm of both sides, we arrive at
Answer:
Q1 = 30.25 minutes
Q2 = 42.5 minutes
Q3 = 40 minutes
Step-by-step explanation:
Given, In Question
- The stem and leaf diagram (key 2 I 1)
Stem | Leaves
2 | 1 3 5 5 5 8
3 | 1 5 6 7 8 9
4 | 2 3 4 6 6 6 8
5 | 2 2 4 5 7 7 8
- We need to find the quartiles Q1, Q2 and Q3. We know that,
Q1 = (1/4)*(n+1)th value
Q2 = (1/2)*(n+1)th value
Q3 = (3/4)*(n+1)th value
where n is the total number of co-workers 26.
- So,
Q1 = (1/4)*(26+1)th value
Q1 = 6.75th value
we need to count the leaves in the plot starting from the first one until we reach the 6.75th value. So, by counting, we conclude that the 6.75th value lies between the 6th and 7th value i.e. 28 and 31.
Q1 = 28 + (31-28)*0.75
= 28 + 2.25
Q1 = 30.25 minutes
- Now, Q2 = (1/2) * (26+1)th value
= 13.5th value.
From the plot, we find that the 13.5th value lies in the middle of the 13th and 14th values i.e. 42 and 43. So,
Q2 = (42+43)/2
= 85/2
Q2 = 42.5 minutes
-
And, Q3 = (3/4)*(26+1)th value
= 20.25th value
From the plot. we find that the 20.25th value lies somewhere between the 20th and 21st value i.e. 52 and 52. So,
Q3 = 40 + (52-52)*0.25
= 40 + 0
Q3 = 40 minutes
Answer: 3 more days after the first 7
Step-by-step explanation:
6(7)=42
60-42=18
18/6=3
If every inch is 200 miles just do 200 times 7 to get the answer of 1400 miles