Answer: 8.1%
Step-by-step explanation:
Given : 
Let x be the random variable that represents the actual speeds of cars.
The speed limit on a road is 60 mph.
Using formula , 
, we have for x= 60+10=70
Using z-table for right-tailed test value, The probability of cars exceed the speed limit by more than 10 mph will be
Hence, the percentage of cars exceed the speed limit by more than 10 mph is 8.1%.
80%
Step-by-step explanation:
Votes: 24 were for hunger relief and 6 were for environmental causes. There were 24 + 6 = 30 votes in total.
Thus,
30 votes - 100%,
24 voyes - x%.
Mathematically, you can write a proportion:
Answer:
0.24
Step-by-step explanation:
These events are not mutually exclusive; this means they can happen at the same time.
For two events A and B that are not mutually exclusive,
P(A and B) = P(A) * P(B|A)
Let A be the event "over 21 years old" and B be the event "drinks alcohol".
The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.
The probability that a student drinks alcohol given they are over 21 is 0.8.
This gives us
P(A and B) = 0.3(0.8) = 0.24
To find out end behavior, we always look at the largest exponent (3 in this case) and the sign of the term with the largest exponent (negative in this case). We can rule out the first two choices because since it is a cubic graph (exponent of 3) the graph will be pointing in opposite directions. Then, the negative tells us that as the x values approache infinity, the y values will approach negative infinity. So the correct answer is the last choice.
Hope this helps
