Answer:
a)
The total number of students who participated in the survey is 97
b)
P(male) = 0.5361
c)
P(A) = 0.2474
d)
The events male and TV show B are not mutually exclusive since 5 males prefer TV show B.
e)
The events female and TV show C are mutually exclusive since no female participant prefers TV show C
Step-by-step explanation:
a)
The total number of students who participated in the survey is obtained as;
Number of male participants + number of female participants
52 + 45 = 97
b)
P(male)
This is the probability that a randomly selected individual would be a male;
P(male) = ( number of male participants) / ( total participants)
= 52/97 = 0.5361
c)
P(A)
This is the probability that a randomly selected participant would prefer TV show A;
P(A) = ( participants who prefer TV show A) / (total participants)
= 24/97 = 0.2474
d)
Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.
The events male and TV show B are not mutually exclusive since 5 males prefer TV show B. The probability is thus not 0.
e)
Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.
The events female and TV show C are mutually exclusive since no female participant prefers TV show C. The probability is thus 0.
5) since (x-a)^2+(y-b)^2=r^2
plug in (-5,2) as (a,b) and r=3
Making the equation:
(x+5)^2+(y-2)^2=9
6) (x-0)^2+(y-0)^2=r^2
since we have (0,5)
0^2+5^2=r^2
Final equation: x^2+y^2=25
Answer:
65.2 milliliters
Step-by-step explanation:
The quantity 336 milliliters is the 100% of the solution. We can represent this information on a table:
Milliliters Percentage of solution
336 ⇔ 100%
we are told that 19.4% of this solution is acid, and we need to know how many milliliters represents this percentage. I will call the number of milliliters of acid on the solution 'x', and updating the last table:
Milliliters Percentage of solution
336 ⇔ 100
x ⇔ 19.4%
We can solve this problem for 'x' using the<u> rule of three</u> which is to multiply the cross quantities on the table (336 by 19.4) and then divide by the remaining amount (100):
x = 336(19.4)/100
x = 6,518.4/100
x = 65.184
which rounding to the nearest tenth is: 65.2 milliliters
The train will take 89 seconds if a train 240 m long passes a pole in 24 seconds.
<h3>What is the distance?</h3>
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
As we know from the distance time formula:
Speed = distance/time
From the question:
Speed = 240/24
Speed = 10 m/s
If distance = 650 m
Total distance = 650 + 240 = 890 m
Speed = 10 m/s
Time = 890/10
Time = 89 seconds
Thus, the train will take 89 seconds if a train 240 m long passes a pole in 24 seconds.
Learn more about the distance here:
brainly.com/question/26711747
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