Solution: We are given:
Total students = 10 + 30 + 10 =50
Number of students who received A grade = 3 + 10 + 5 = 18
Number of senior student's who received A grade is = 10
Let A be the event that the student is senior and B be the event that he or she earned an A. Then,
Now the probability a student chosen at random from this class and is found to have earned an A, the probability that he or she is a senior is:
Divide the 864 by three and multiply that answer by 2.
Answer:
Step-by-step explanation:
The phrase "twice as much lemonade" tells you that if Mark sold 2 gallons and Regan sold twice as much as Mark, then Regan sold 2 * 2 which is 4 gallons, right? It's the same with the "2/3 as much". But since 2/3 is less than 1, the amount after you multiply some number by 2/3 is going to be less than the original number.
If Mark sold 2 7/8 gallons and Regan sold 2/3 as much, then Regan sold
I teach my algebra students to change that mixed fraction into an improper to make the multiplication easier:
Answer:
30 minutes
Step-by-step explanation:
Let's find how much Bob had covered before Cheryl left.
We need to find Bob's distance in 45 minutes (0.75 hour).
We know D = RT, where D is distance, R is rate, T is time. So,
D = RT
D = 10(0.75) = 7.5 miles
Bob was ahead by 7.5 miles before his wife started.
Now, Bob's rate is 10mph and Cheryl's is 25 mph, that means Cheryl goes 15 miles per hour faster to catch up.
Since, Cheryl will catch up at 15 miles an hour, how long would Cheryl need to catch up 7.5 miles??
Easy!
7.5 is HALF of 15, so Cheryl will required HALF of an hour to catch up, or 30 minutes
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.
a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables (output) while the independent variable is not dependent on other variables (input).
Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:
y = 760 - 17x
At a height of 400 m, the number of seconds is:
y = 760 - 17x
400 = 760 - 17x
17x = 760 - 400
17x = 360
x = 21.2
x ≅ 21 seconds
It takes 21 seconds to reach a height of 400 m
b) Domain is the set of all independent variables. In this case the independent variable is the time (x)
The minimum time is at y = 760
y= 760 - 17x
760 = 760 - 17x
17x = 0
x = 0
The maximum time is at y = 0
y= 760 - 17x
0 = 760 - 17x
17x = 760
x = 44.7
Hence the domain = 0 ≤ x ≤ 44.7
