Answer:
D. 0.821
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The combinations formula is important to solve this question:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.
At least 3 girls.
3 girls
3 girls from a set of 5 and 2 boys from a set of 3. So
4 girls
4 girls from a set of 5 and 1 boy from a set of 3. So
5 girls
5 girls from a set of 5
Total outcomes
5 from a set of 8. So
Probability
So the correct answer is:
D. 0.821
You do 80km/1hr = n/3.75
Use this proportion to find that n=300
So, he drives 800km.
Answer:
140
Step-by-step explanation:
1=4
180-40=140
D=3
How much would the investment be worth?
As the function for interest is already given to us, also,
The principal amount, P = $7,000
The rate of Interest, r = 3%
Time period, t = 5 years
Compounded semiannually, n = 2
Substitute the values,
Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.
Answer:
True
Step-by-step explanation:
The first derivative tells you the slope of the graph at a specific point. If f'(c) =0, then that means that at f(c), the slope of the graph is 0. It is neither going up nor down
The second derivative tells you the slope of the slope of the graph. If f''(c) < 0, this means that the slope is decreasing. This means that going from the left to f(c), the slope is greater than the slope at f(c), and going from f(c) to the right, the slope is less than the slope at f(c).
Therefore, since the slope at f(c) is 0, the slope is positive to the left of f(c) and negative to the right of f(c). This means that the graph is going up until it hits f(c) and then goes down. Because f(c) is greater than the values to the left of it (because it is going up until it hits f(c)) and the values to the right of it (because it is going down past f(c)), f(c) is a local maximum
