The answer to your question is -4/5
Answer: Choice A)
Set A is an exponential function and the values increase at a faster rate than Set B.
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Explanation:
Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.
- 10*10 = 100
- 100*10 = 1,000
- 1,000*10 = 10,000
- 10,000*10 = 100,000
etc
This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.
Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.
On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.
When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.
The slope is 3, and the y-intercept is 9
Answer:
0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the teams wins, or they do not win. The probability of the team winning a game is independent of any other game, which means that the binomial probability distribution is used 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 a certain hockey team will win any given game is 0.3773.
This means that 
Their schedule for November contains 12 games.
This means that 
Find the probability that the hockey team wins at least 3 games in November.
This is:
In which:
So
Then
0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.
Answer:
Let the number be x.
Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.
Then, the angles be 4x , 5x and 6x respectively.
We know that: The sum of all the measures of angles is 180 degree.
then;
Combine like terms;
Divide by 15 both sides we get;
Then, the measure of each angle of triangle:
