Answer:
Step-by-step explanation:
We are given that
Initial value problem
, y(3)=4
Substitute the value 
When t=3 and y=4 then
z=3+4=7
Differentiate z w.r.t t
Then, we get
Integrate on both sides
Substitute t=3 and z=7
Then, we get
Substitute the value of C then we get
Answer:
1/6
Step-by-step explanation:
two events need to happen: tutti frutti needs to be shown by first spinner and second spinner needs to show dish
probability of tutti frutti = 1/3
probability of dish = 1/2
probability of both events = 1/3 * 1 /2 = 1/6
The fact that the first chosen student was a girl is already decided, so there is no need to find the probability of that happening. There are a total of 13+10, or 23 students. A girl was already selected, so that leaves 22 students. The chance that a boy is chosen is 10/22, or 5/11.
N=2p
(n+7) + (p+7) = 68
2p + 7 + p + 7 = 68
3p + 14 = 68
3p = 68 - 14 = 54
p=54/3=18
n=2p=36
Check: (18+7)+(36+7)=25+43=68 good
The answer would be: <span>99.0%
</span>
The disease is rare with a prevalence of <span>one out of every thousand people have it. That means, the chance of Roberto has the disease without any test would be 1/1000 or 0.1%
The test sensitivity is 99%, which mean 99% of people with positive test result would have the disease. The chance is should not be influenced by the disease prevalence. </span>
