Answer:
Needs to have an average speed of 150km/h
Step-by-step explanation:
With the current average of 100 km/h in a 3-hour span, you would cover 300km. Since you want to cover that same amount (300km) in 2 hours all you do is 300/2 which is 150. Meaning you need an average speed of 150 km/h
K=basketball, S= baseball
10K
5S
3 K & S
26 total
P(K) = 10/26, P(S) = 5/26 P(K^S) = 3/26
P(K v S) = P(K) + P(S) - P(K^S) = 10/26 + 5/26 - 3/26 = 12/26 = 6/13
Probability of randomly getting a student who plays either basketball or baseball = 6/13
♥ thus y’/(yf-y) = k, where yf=6000;
<span>♠ hence ln(yf-y) =-kx +C; </span>
<span>at x=0 y(0)=y0=1000, hence C= ln(yf-y0); </span>
<span>and we get: </span>
<span>ln((yf-y)/(yf-y0) =-kx; or; </span>
<span>yf-y =(yf-y0)*exp(-kx); at last </span>
<span>♦ y = 6000- 5100*exp(-0.0015*x);
</span>
<span><span><span>dy</span><span>dt</span></span>∝y=ky</span>separate the variables<span><span><span>dy</span>y</span>=kdt</span>integrate both sides:<span>lny=kt+C</span><span>y(t)=C<span>e<span>kt</span></span></span>by plugging in t=0 we find that C the original population<span>y(0)=C<span>e0</span>=C⟹C=<span>y0</span></span>so we get<span><span>y=<span>y0</span><span>e<span>kt</span></span></span></span>