Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
42-14= 28
28÷2=14
answer: there are 14 females in the class and 28 males in the class
Check:14+28=42
Answer:
theres nothing there though
Step-by-step explanation:
Answer:
Yes, the background color appear to have an effect on the variation of word recall scores
Step-by-step explanation:
Given that results from scores on a test of word recall are given are as follows:
Two test scores have independent means and having normal distribution.

(Two tailed test at 5% significance level)
Group Group One Group Two
Mean 15.1400 12.4200
SD 5.9100 5.4200
SEM 0.9990 0.8910
N 35 37
The mean of Group One minus Group Two equals 2.7200
standard error of difference = 1.335
Hence t statistic = 2.0369
p value = 0.0454
Since p <0.05 we reject null hypothesis
Yes, the background color appear to have an effect on the variation of word recall scores