Answer:
B. Yes, this is direct variation. Time is the independent variable, and miles driven is the dependent variable.
Step-by-step explanation:
In a direct variation, when the independent variable increase the dependent variable also increases. In this case, the independent variable is the time (time is always independent) and the miles driven by Steve is the dependent variable. This means, the miles driven increase as time pass.
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
Answer:
a) no real solutions
Step-by-step explanation:
the discriminant (b² - 4ac) is negative which indicates no real solutions
Answer:
For product A, the product is increasing, for the bigger the number you plug into x (due to the fact that the numbers become bigger because of the time: year 1, year 2, etc)
Product A is 82% change rate, while
product B is 983.45/4 = 245.8625, 1756.16/3 = 585.3867
Product B is 245.8625/585.3867
product B is 42% change rate
Product A change rate is higher than Product B by 40%
Step-by-step explanation:
Hope this helped! :)