Hello,
dy/dx=4==>dy/y=4dx==>ln(y)=4x+C
==>y=k*e^(4x)
if x=0 y=4==>4=k*e^(4*0)==>k=4
==>y=4*e^(4x)
Answer A (with parenthesis!!!)
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that x is a random variable from a binomial distribution with n = 40 and p = 0.9.
We find that mean = np= 36 and variance = npq = 3.6
Std dev = square root of variance = 1.897
When we approximate binomial to normal we say
X' is Normal with mean = 36 and std dev = 1.897
X' is N(36, 1.897)
Note:
The condition for binomial approximating to normal is p should be close to 1/2
Here p is 0.9 and also nq=4 is very small.
So normal approximation may not give accurate results.
Answer:

Step-by-step explanation:
So we know that:

And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.
Answer:
30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30