Answer:
61
Step-by-step explanation:
A + B = 90
6 - 5x + 7 - 2x = 90
13 - 7x = 90
- 7x = 90 - 13
- 7x = 77
- x = 77 / 7
x = - 11
A: 6 - (5 * - 11) = 6 + 55 = 61
B: 7 - (2 * -11) = 7 + 22 = 29
Together they equal 90 as they should.
Answer:
a) 1 game
b) 41 goals
c) median = 2
Step-by-step explanation:
a)
As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.
b)
To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:
total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals
c)
To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.
We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.
Answer:
-7/6
Step-by-step explanation:
To evaluate this, start by turning each into improper fractions.
3 1/2 - 4 2/3
7/2 - 14/3
Now give both common denominators and complete the operation.
7/2 - 14/3
21/6 - 28/6
-7/6
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = 
≈ 0.246
So the probability of that is 24,6 %
Good Luck
Set up equal ratios
t/6=0.75/4.5 multiply both sides by 6
t=4.5/4.5
t=1 hour
So it will take Madison one hour to ride another six miles.
