Answer:
if you write it in the form y=mx+c
so
y=3x+1
it's a straight line on a graph
c= y intercept
so it's where the straight line crosses the y line which in this case is +1
m= gradient
it's basically the slope of the line
si the slope is 3
Answer:
8 km
Step-by-step explanation:
im a genius in math so trust me
To solve this problem, we should note that there are:
total questions = 100
questions answered correctly = 90
questions that needed additional clues = 10
1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:
Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)
Probability = (90/100)*(89/99)*(10/98)
Probability = 0.08256 = 8.26%
2. The second question finds for the probability that two consecutive needs additional clue, therefore:
Probability = (question 1 needed clue) * (question 2 needed clue)
Probability = (10/100)*(9/99)
Probability = 9.1*10^-3 = 0.91%
Answer: The speed of the current is 3 miles per hour.
Step-by-step explanation:
Let x = speed of boat , y= speed of current.
Given:
x-y=10 (Upstream) ...(i)
x+y= 16 (Downstream) ...(ii)
Adding (i) and (ii), we get
2x=26
⇒ x= 13
Put x=13 in (i), we get
13-y=10
⇒ y=13-10
⇒ y=3
Hence, the speed of the current is 3 miles per hour.
Answer:
The positive sums are:
B. 5 + (–2)
C. –3 + 4
E. –2 + 4
Step-by-step explanation:
We can simply observe the sums to conclude that the sum will be positive or negative.
A. –5 + (–2)
We can see that both numbers are negative, the sum of two nu=egative numbers is also negative.
-5+(-2) = -5-2 = -7
B. 5 + (–2)
The number with greater magnitude is positive so the sum will also be positive.
5 + (–2) = 5-2 = 3
C. –3 + 4
The number with greater magnitude is positive so the sum will also be positive.
-3+4 = 1
D. 0 + (–3)
The number with greater magnitude is negative so the sum will also be negative.
= 0-3 = -3
E. –2 + 4
The number with greater magnitude is positive so the sum will also be positive.
-2+4 = 2
Hence,
The positive sums are:
B. 5 + (–2)
C. –3 + 4
E. –2 + 4