Answer:
A) 40/49
B) 36/42
Step-by-step explanation:
Given:
Red Balls, R : 4
White Balls, W : 3
Total Balls : 3+4=7 balls
A) If balls were replaced before the 2nd draw
P (White) = 3/7; P(Red) = 4
P(at least 1 red ball),
= 1 - P(no red balls)
= 1 - P(White, White)
= 1 - (3/7)(3/7)
= 1-(9/49)
= 40/49
A) If balls were replaced before the 2nd draw
P(1st White Ball) = 3/7 ; P(2nd White Ball) = 2/6
P(at least 1 red ball),
= 1 - P(no red balls)
= 1 - P(1st White, 2nd White)
= 1 - (3/7)(2/6)
= 1 - 6/42
= 36/42
Answer:
x = -5 and y = 1
Step-by-step explanation:
a) 2x + 5y +5 = 0
a) 2x + 5y = -5
b) 2y = 3x + 17
b) y = 3/2x + 17/2
a) 2x + 5(3/2x + 17/2) = -5
a) 2x + 15/2x + 85/2) = -5
a) 19/2x = -5 - 85/2
a) 19/2x = -95/2
a) x = (-95/2) / (19/2)
x = -5
b) 2y = 3(-5) + 17
b) y = 2/2
y = 1
Top one is “equal to”
Middle one is “longer than”
Lowest one is “will”
To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.
Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.
The ratios of the areas of the triangles is 3/5 x 3/5 or 9/25.
To determine the area of the larger triangle, you will solve the following equation using the information you know. x is the area of the larger triangle.
9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches
The area of the larger triangle is 1600 square inches.
