Answer:
Step-by-step explanation:
1st use the two points to find the slope of the line that passes thru those two points
m = y2 - y1 / x2 - x1
where point1 = ( x1, y1 ) and point2 = (x2, y2 )
your are given P1 = ( -2,10) and P2 = (1,1)
find the slope
m = 1-(-2) / 1-10
m = 1+2 / -9
m = 3 / -9
m = - 1/3
then use the point-slope formula [y-y1 = m(x-x1)] with either of the two points, I'll use P2 b/c it seems easier (1,1) , you get the same results with either point and work the problem to the slope-intercept form [y = mx +b ]
y -y1 = m(x-x1)
y-1 = -1/3(x-1)
y-1 = -1/3x + 1/3
y = -1/3x + 1/3 + 1
y = -1/3x + 4/3
:) got it ?
Answer:
When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen; When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.
Step-by-step explanation:
In a binomial distribution, there are only two outcomes, or outcomes that can be reduced to 2. In the first choice, we either draw a prime number or do not draw a prime number. In the third choice, we either draw a 3 or do not draw a 3.
There must be a fixed number of trials. In the first choice, we have 5 trials; in the third option, we have 6 trials.
The trials must be independent of each other. Since the cards in the first and third options are drawn with replacement, the outcome of one trial does not influence the probability of the next trial.
The probability must be the same for every trial. This is true of the first and third options.
Answer:
If its considered a triangle every unit inside a triangle is 90 square units
Step-by-step explanation:
The square root would be 15.65
Answer:
Of the basketball players on the team, exactly 75% of the players have heights above 180
Step-by-step explanation:
So, they are 12 basketball players in total
1 - 170 - This is 1/12
2 - 175 - This is 1/6
1 - 180 - This is 1/12
4- 185 - This is 1/3
3 - 190 - This is 1/4
1 - 195 - This is 1/12
75% (Or 3/4) have heights above 180
Therefore, the answer is B