Answer:
Step-by-step explanation:
f(x) = -5x + 8(7 - x)......when f(x) = 160
160 = -5x + 8(7 - x)
160 = -5x + 56 - 8x
160 - 56 = -5x - 8x
104 = - 13x
-104/13 = x
-8 = x <====
Answer:
Hence, ption B is true.
Step-by-step explanation:
Given the expression
solving the expression
as
so the expression becomes
Group like terms
Add similar elements
Therefore, we conclude that:
Hence, option B is true.
Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : n= 35 , large sample (n>30)
Mean difference :
Standard deviation :
Significance level :
Critical value :
Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-
Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students =
35
since m and n are the midpoints of ab and ac resistively
then ,bc=2mn=16
since m and l are the midpoints of ba and bc respectively
then, ac =2mn =10
then,nc =1/2 × 10 =5
similary, mb=6
then ,perimeter=nc+mb+mn+bc=5+6+8+16=35