Answer: The minimum reliability for the second stage be 0.979.
Step-by-step explanation:
Since we have given that
Probability for the overall rocket reliable for a successful mission = 97%
Probability for the first stage = 99%
We need to find the minimum reliability for the second stage :
So, it becomes:
P(overall reliability) = P(first stage ) × P(second stage)
Hence, the minimum reliability for the second stage be 0.979.
The answer is B. The shape is staying the exact same, it’s just moving.
4/3 is the ratio between fruit punch and orange juice. For every 3 cups of orange juice she makes, she can make 4 fruit punches. An example:
If you replace x (orange juice) with 2, that'd mean there'd be 6 cups of orange juice because you'd multiply 3 and 2. Same goes to 4. 4 multiplied by 2 is 8, which means if she makes 6 cups of orange juice, she can make 8 cups of fruit punch.
A. 36 inches is a yard because there are 12 inches in a foot and 3 feet in a yard, so 12 times 3 is 36.
Answer:
x=3
Explanation:
Let's write an equation for the area of this figure.
This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.
Area of rectangle= length× breadth
Area of vertical rectangle= 6x
Length of horizontal rectangle= (7 -x) cm
Area of horizontal rectangle= x(7-x)
Since total area= 30 cm^2,
6x+ x(7-x)= 30
6x +7x -x^2= 30 (expand)
-x^2 +13x-30= 0 (bring all terms to one side)
x^2 -13x +30= 0 (divide by -1)
(x -10)(x -3)= 0 (factorise)
x -10= 0 or x -3= 0
x= 10 or x= 3
(reject)
We reject x=10 since from the diagram, x cm is less than 6cm.
