Why did you post this then?
Answer:
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability that the islanders will beat the rangers in a game is 0.44
This means that 
What is the probability that the islanders will win exactly one out of four games in a series against the rangers?
This is P(X = 1) when n = 4. Then
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Answer:
slope of the parallel line = 8
Step-by-step explanation:
Parallel lines have the same slope. To determine the equation of the other line, you need to transform the given linear equation into its slope-intercept form, y = mx + b:
-8x + y = 2
Add 8x to both sides to isolate y:
-8x + 8x + y = 8x + 2
y = 8x + 2 (this is the slope-intercept form where the slope (m) = 8, and the y-intercept (b) = 2).
Given that the slope of the first equation is 8, then we can assume that the slope of line parallel to -8x + y = 2 will also be 8.
Question 9
The point (30,15) means that x = 30 and y = 15 pair up together.
Similarly, (40,25) means we have x = 40 and y = 25 paired up.
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (25-15)/(40-30)
m = 10/10
m = 1
The slope is 1.
It tells us that each time y goes up by 1, x is also increasing by 1.
slope = rise/run = 1/1
rise = 1, run = 1
The rise is the change in y, the run is the change in x.
This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.
In short, the plant's height is increasing by 1 cm per day
<h3>
Answer: Choice D</h3>
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Question 10
y varies directly with x, so y = kx for some constant k.
We're then told that x = -1 and y = -2 pair up together.
Let's find k based on those items
y = kx
y/x = k
k = y/x
k = -2/(-1)
k = 2
So y = kx becomes y = 2x
Then we're asked to find x when y = -4
y = 2x
y/2 = x
x = y/2
x = -4/2
x = -2
<h3>
Answer: Choice D</h3>
Answer:
168 miles
Step-by-step explanation:
If he uses 5 gallons to drive 140 miles, that means that he can drive 24 miles for every gallon (140/5=24)
7 times 24 is 168 so he can drive 168 miles on 7 gallons of gas
