Answer:
0.5
Step-by-step explanation:
6+ 4x = 8
or, 4x = 8-6
or, 4x = 2
x = 0.5
Answer:
27.5 mm
Step-by-step explanation:
Let the side length of each of the side of the base of the pyramid be a, hence:
perimeter of square = 4a
80 = 4a
a = 20 mm.
The distance from the middle of the square pyramid to the side = r = half of the side length = a/2 = 20 / 2 = 10 mm.
r = 10 mm
The slant height (s) = 17 mm, Let h be the height of each of the pyramid. Using Pythagoras theorem:
r² + h² = s²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.748 mm
The length of the game piece = 2 * h = 2 * 13.748 = 27.5 mm to nearest tenth of a mm.
Answer:
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:
For this case we have that:
And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Step-by-step explanation:
For this case we can define the following events:
A= In a certain computer a memory failure
B= In a certain computer a hard disk failure
We have the probability for the two events given on this case:
We also know the probability that the memory and the hard drive fail simultaneously given by:
And we want to check if the two events are independent.
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:
For this case we have that:
And we see that
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Answer:
- 0: 0.7056
- 1: 0.2688
- 2: 0.0256
Step-by-step explanation:
When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.
The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...
p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056
__
There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:
p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16
p(1 for 2) = 0.2688
__
There is one way both children can have spina bifida:
p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256
__
In summary, our probability distribution is ...
p(X=0) = 0.7056
p(X=1) = 0.2688
p(X=2) = 0.0256
