Answer:
the answer is d
Step-by-step explanation:
Answer:

Step-by-step explanation:
This is a separable equation. First divide both sides by y:

Integrate both sides:


Solve for y taking exp to both sides:

Where
is an arbitrary constant
Evaluating the initial condition:


Finally, replacing
in the differential equation solution:

Answer:
Step-by-step explanation:
Only j,q,k beat 10 and there are four each of them so there are 12 cards that will beat the ten. 4 cards have already been drawn so there are 52-4=48 cards left in the deck, so the probability of beating the 10s is
12/48
1/4
Which is 25%
There is a fraction form and decimal form. The decimal form would be the same: 8.517, but the fraction form will be 8517/1000 since the 7 ends on the 1000's place, so you can remove the decimal and put it over 1000.
Decimal form: 8.517
Fraction form: 8517/1000
Also another fraction form is having mixed numbers:
Answer:
P(X>55)=0.16
Step-by-step explanation:
We want to find the probability that an athlete throws the hammer no less than 55 feet given that the length an athlete throws a hammer is a normal random variable with mean 50 feet and standard deviation 5 feet.
We know that 55 is 1 stand deviation above the mean which is 50.
By the empirical rule, 68% of the distribution is within 1 standard deviation of the mean.
In this case only one standard deviation above the mean will give 34% .
So the probability that he throws the hammer less than 55 feet is 0.5+0.34=0.84
The probability that he throws it no less than 55 feet is 1-0.84=0.16