First draw p yellow = 4/7
2nd draw p red = 3/7
3rd draw p red = 3/7
To find the probability of this event (1yellow 2 red - with replacement) we multiply the probabilities.
4/7 x 3/7 x3/7 = 36/343 which cannot be reduced further
Answer:
Step-by-step explanation:
Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.
Since they give you two points 
and 
for the line, use them to find the slope of the line that goes through them, with the formula: 
Therefore, the slope of the line must be 
Now, find the y-intercept (b) using the general form of a line with the given slope:
Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):
then the y-intercept must be 5. Therefore our line is : 
which appears listed as your second choice.
Answer: The measures of all the three angles are 24 , 60 and 96
Step-by-step explanation:
Since the measures are given in ratio form, the first thing is to find the total ratio, which is
2 + 5+ 8 = 15
Recall that the sum of angles in a triangle is 180 ,so to calculate each angle , we have
2/15 x 180 = 24
also , 5/ 15 x 180 = 60
Finally, 8/15 x 180 = 96
The triangle is obtuse , since it is having one angle greater than 90.
It can not be acute because of the existence of 96 , for a triangle to be acute , all the angles must be less than 90 , and it can not be right triangle because there is no existence of 90
Answer:
Angle C = 45 degrees.
Angle D = 30 degrees.
Step-by-step explanation:
Angle C = 45 + 90 = 135 180 - 135 = 45.
Angle D = 180 - 45 = 135 (angle F) 15 + 135 = 150 180 - 150 = 30
