Answer:
0, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x + 7 ← is in slope- intercept form
with y- intercept c = 7 ⇒ (0, 7 )
This is so provided that the velocity changes continuously in which case we can apply the mean value theorem.
<span>Velocity (v) is the derivative of displacement (x) : </span>
<span>v = dx/dt </span>
<span>Monk 1 arrives after a time t* and Monk 2 too. </span>
<span>Name v1(t) and v2(t) their respective velocities throughout the trajectory. </span>
<span>Then we know that both average velocities were equal : </span>
<span>avg1 = avg2 </span>
<span>and avg = integral ( v(t) , t:0->t*) / t* </span>
<span>so </span>
<span>integral (v1(t), t:0->t*) = integral (v2(t), t:0->t*) </span>
<span>which is the same of saying that the covered distances after t* seconds are the same </span>
<span>=> integral (v1(t) - v2(t) , t:0->t*) = 0 </span>
<span>Thus, name v#(t) = v1(t) - v2(t) , then we obtain </span>
<span>=> integral ( v#(t) , t:0->t*) = 0 </span>
<span>Name the analytical integral of v#(t) = V(t) , then we have </span>
<span>=> V(t*) - V(0) = 0 </span>
<span>=> V(t*) = V(0) </span>
<span>So there exist a c in [0, t*] so that </span>
<span>V'(c) = (V(t*) - V(0)) / (t* - 0) (mean value theorem) </span>
<span>We know that V(0) = V(t*) = 0 (covered distances equal at the start and finish), so we get </span>
<span>V'(c) = v#(c) = v1(c) - v2(c) = 0 </span>
<span>=> v1(c) = v2(c) </span>
<span>So there exist a point c in [0, t*] so that the velocity of monk 1 equals that of monk 2. </span>
25 - 3(2w + 1) = 10w - 3(10 + w)
Distribute
25 - 6w - 3 = 10w - 30 - 3w
Combine liked terms
22 - 6w = -30 + 7w
+30 on both sides
52 - 6w = 7w
+6w on both sides
52 = 13w
/13 on both sides
w = 4
A) The probability of Lisa being correct if she says a drink is flat is; 83.3%
B) The level of Lisa's accuracy in detecting a drink that is flat is; 83.3%
C) The reason why Lisa should be considered for to job is because; she has a high accuracy level and is not just complaining unnecessarily.
<h3>How do you interpret the right probability?</h3>
From the table showing Lisa's response to the last 100 drinks she bought attached, we see that;
A) When the drink was flat, she complained 5 times out of 6. Thus, if the drink is flat, the probability of her complaint being correct = 5/6 = 83.3%
B) Since she is 83.3% correct in detecting whether a drink is flat, then we can say that Lisa is 83.3% very good at detecting whether a drink is flat.
C) It would be good in recommending Lisa for the quality control job because she only complained 3 times out of 94 times that the drink was not flat while she was correct 5 out of 6 times when the drink was flat. Thus, she has a high accuracy level and is not just complaining unnecessarily.
Read more about complaints at; brainly.com/question/10111803
Answer: 33 square units
Step-by-step explanation:
Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.
Heron's formula:-
, where s is the semiperter and a,b and c are the side-lengths of the triangle.
Let a=16 , b=10 and c=8
Then,
Using Heron's formula:-