Answer:
66.67% probability that all selected components function properly
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the components are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Desired outcomes:
2 components which function properly, from a set of 5. So
Total outcomes:
2 components, from a set of 6. So
Probability:
66.67% probability that all selected components function properly
10+9 x 8 = 100+50+2 (152)
Answer:31/40
Step-by-step explanation:
To add you have to have a common denominator. To get that you can multiply each fraction by one in different ways. 2/5 *8/8= 16/40 and 3/8* 5/5= 15/40 and then add those two to give you 31/40.
Notice that we need to look for the intervals of x and also for the intervals of y.<span> We can observe that t</span>here is a minimum between x = 0 and x = 1 because the graph is descending and then ascending and also the graph has a maximum value between y = -3 and y = -1.
Answer:
a=7.85-1/2^b
Step-by-step explanation:
2a=15.7-b Move variable to the right side and change its sign
2a=15.7-b Divide both sides of the equation by 2
a=7.85-1/2^b The final solution for a is
