<u>Answer</u>:
See below!
<u>Explanation</u>:
- distance = speed * time
- speed = distance/time
- time = distance/speed
<u>equation for distance</u>:
Lets Ben hours be x and Landon hours be y,
60x + 56y = 820 .........equation 1
<u>equation for time</u>:
x + y = 14 .........equation 2
Make x the subject:
60x + 56y = 820
x = (820 - 56y)/60 ..........equation 3
x + y = 14
x = 14 - y ........equation 4
Solve equation 3 and 4 simultaneously:
- 14 - y = (820 - 56y)/60
- 60(14 - y) = 820 - 56y
- 840 - 60y = 820 -56y
- 840 - 820 = -56y + 60y
- 20 = 4y
- y = 5
[ Therefore Landon drove 5 hours ]
Extra's further investigated:
if y = 5
- x = 14 - y
- x = 14 - 5
- x = 9
[ Therefore Ben drove 9 hours ]
So there are 240 students in the class
And if 30% are boys that means
so out of the 72 boys if 25% take it
Ans: 18 boys take PE GCSE
Answer: Binomial
Step-by-step explanation:
1 / 3
A binomial setting has a set number of trials, and the variable in question is the number of
successes that occur in those trials.
A geometric setting does not have a set number of trials, and the variable in question is the
number of trials it takes to get the first success.
In both settings, the trials are independent and the probability of success remains the same on
each trial.
2/3
In this game, the player rolls 7 dice, and F is the number of dice that show a 5. So the variable is
counting the number of successes
The rolls are independent, and the probability of getting a 5 is the same on each roll,
3/3
F is a binomial variable
To find the inverse of a function, we make the independent variable the subject of the formula.
Thus, the inverse of the given function is evaluated as follows.
From the work show, it can be seen that Talib's work is correct.
