B because absolute value means that the number inside the absolute value brackets is the positive version of the number
Step-by-step explanation:
you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.
if yes, it was a solution, and if just only one is false, then it was not a solution.
(3, -2) in
y + 4x = 10
5x - y = 13
so,
-2 + 4×3 = 10
-2 + 12 = 10
10 = 10 true
5×3 - (-2) = 13
15 + 2 = 13
17 = 13 false
so, it was NOT a solution.
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration , we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration , we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that , so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s
<span>LCD(<span>115</span>, <span>95</span>, <span>38</span>) = LCM(15, 5, 8) = 23×3×5 = 120</span>
<span><span>115</span> = <span>8120</span></span><span><span>95</span> = <span>216120</span></span><span><span>38</span> = <span>45120
</span></span>
Answer:
31.82% probability that this day would be a winter day
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening
In this question:
Event A: Rain
Event B: Winter day
Probability of rain:
0.42 of 0.25(winter), 0.23 of 0.25(spring), 0.16 of 0.25(summer) or 0.51 of 0.25(fall).
So
Intersection:
Rain on a winter day, which is 0.42 of 0.25. So
If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?
31.82% probability that this day would be a winter day