Answer:
Answer A
Step-by-step explanation:
Angle A = 180 - 26 - 90 (90 right angle)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos
(
A)=
adj/hyp
Cos (26) = a / 13
a = 13* Cos (26)
a= 11.7
Find the last side of the triangle using the Pythagorean theorem.
Answer:
153.586 close to 154 students
Step-by-step explanation:
mean=61
standard deviation =10
sample 450 students , x between 61 and 71
(x-mean)/deviation for score 61 and 71
61-61/10=0
71-61/10=1
the z-scores is between 0 and 1 ( use calculator)
the percentage is 0.3413 close to 34%
number of students that score between 61 and 71=
450*0.3413= 153.586 close to 154 students
Answer:
212.79m
Step-by-step explanation:
A=L×W
A=24.6m×8.65m
A=212.79m
Answer:
The IQR of the data set is 4.5
Step-by-step explanation:
Given:
10 13 15 12 12 4 12 17
12 13 15 18 10 11 20 19
Now, to determine the IQR (interquartile range) of this data set.
So, <em>we need to set the data in numerical orders:</em>
4 10 10 11 12 12 12 12
13 13 15 15 17 18 19 20
Now,<em> we split this in half and get the medians of both half:</em>
<u>4 10 10 11 12 12 12 12 </u> Median 1 = 11.5
<u>13 13 15 15 17 18 19 20 </u> Median 2 = 16
Getting the medians of both half now we subtract the median 1 from median 2:
IQR = 16 - 11.5
IQR = 4.5.
Therefore, the IQR of the data set is 4.5
