Answer:
Probabilty= 7.66*10^-3
Step-by-step explanation:
A box contains 65 balls numbered from 1 to 65.
9 balls are drawn with replacement.
Probabilty of selecting a number = 1/65
Probabilty of selecting a number
= 0.0154
Probabilty of at least 2 numbers out of 9 selected to have Same number
Probabilty= 9C2(0.0154)^2(0.9846)^7
Probabilty= 7.66*10^-3
The result of the product of the sides of the triangles is 9
<h3>Shapes and Patterns</h3>
From the given diagram, you can see that the triangle and the shape circumscribed around it forms patterns given as:
- Product = sides of the triangle * number of sides of the circumscribed shape
For the circle and triangle
Product = 0 * 3
Product = 0
For the rectangle and triangle;
Product = 3 * 4
Product = 12
For the two triangles
Product = 3 * 3
Product = 9
Hence the result of the product of the sides of the triangles is 9
Learn more on shapes and patterns here: brainly.com/question/17386984
Answer:
y=-2x+4
Step-by-step explanation:
2x+y-1=0
2x+y=0+1
2x+y=1
y=1-2x
y=-2x+1
y=mx+b where m=slope and b=y-intercept
parallel means same slope,
so the slope would still be -2.
--------------
y-y1=m(x-x1)
y-2=-2(x-1)
y=-2x+2+2
y=-2x+4
Answer:
The Miami Dolphins had 3 touchdowns and 3 field goals.
Step-by-step explanation:
It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.
We need to write and solve the system of equations to find the total touchdowns and field goals scored.
Let x represents the number of touchdowns.
Let y be the number of field goals.
It is given that the Miami Dolphins scored 6 times
....(1)
They scored 7 points for each touchdown and 3 points for each field goal.
The total score is 30 points:
...(2)
Put the value of x from equation (1) into equation (2).





Put y = 3 in equation 1.


Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.