Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Hi!
As you can see in the figure, the point you are looking for is the intersection of two lines.
The intersection point is found solving this system of linear equations (the point must satisfy both equations):
You can solve it, for example, by the method of substitution:
Then plug x1 into equation 2, and solve for x2:
Then you use the value of x2 to get x1:
Answer:
1/9
Step-by-step explanation:
135 in Sport centre: Total
59:swimming pool
31:track
19 both swimming and gym
16 gym and track
4 all three facilities
4 people use all three facilities, then
16 - 4 = 12 people use the gym and the track and do not use the pool;
9 - 4 = 5 people use the pool and the track and do not use the gym;
19 - 4 = 15 people use the gym and the pool and do not use the track.
At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is
4/36=1/9
Hope this helps!!!
Answer:
Step-by-step explanation:
Given that a teacher gives a test to a large group of students. The results are closely approximated by a normal curve
mu =74 and sigma =8
A grade starts from 100-8 = 92nd percentile
Z score for 92nd percentile = 1.405
X score = 74+8(1.405) = 85.24
--------------------
B cut off is to next 16%
Hence C would start for scores below 100-(8+16) = 76%
76th percentile = 0.705*8+74 =79.64
Answer:
5 units
Step-by-step explanation:
Use the Pythagorean theorem, 4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
5 = c
Answer:
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
Step-by-step explanation:
From the given information;
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.
A random sample is usually an outcome of any experiment that cannot be predicted before the result.
SO;
One plan is to select 400 voters, another plan is to select 1,600 voters
If the study were conducted repeatedly (selecting different samples of people each time);
Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. This is because a sample proportion deals with random experiments that cannot be predicted in advance and they are quite known to be centered about the population proportion.
