Answer:
Histogram B best represents the data.
Step-by-step explanation:
student: Hours:
a 0.6
b 0.5
c 2.5
d 2.5
e 1.5
f 2.5
g 0.5
h 1.5
I 1.5
j 2.5
k 2.5
l 2.5
m 1.5
n 1.5
o 1.5
Since clearly from the table we could see that none of the student spend more than 3 hours in listening music each day.
Hence, the graph in option A and option D are incorrect.
Now we arrange our data in the interval of 1 unit to get:
Interval Number of students
0-1 3
1-2 6
2-3 6
Hence, the histogram that represents this data is:
Histogram B
Step-by-step explanation:
In triangles BAD and BCD ,
BD=BD (common)
angle BDA= angle BCD {90°each(given)}
AD=DC (given)
.•. traingle BAD is congruent to triangle BCD (SAS criterion)
Hence , angle A = angle C (CPCT)
Answer:
31 as it has only 2 factors which is 1 and 31
Answer:
The graph increases
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
Solution:-
- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.
- The survey team took a sample of size n = 24 students and obtained the following results:
Sample mean ( x^ ) = 12.3 mins
Sample standard deviation ( s ) = 3.2 mins
- The sample taken was random and independent. We can assume normality of the sample.
- First we compute the critical value for the statistics.
- The z-distribution is a function of two inputs as follows:
- Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025
Compute: z-critical = z_0.025 = +/- 1.96
- The confidence interval for the population mean ( u ) of walking times is given below:
[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]
Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]
