Answer:
13
4
OR
3
1
4
Step-by-step explanation:
first you work out what is in the brackets
that is
1
3
÷
1
6
to give you 2 as you answer
second step rewrite the whole question replacing two in the place of
1
3
÷
1
6
so you will have
3
4
+
2
−
(
−
1
2
)
thirdly open the brackets with the negative sign outside the bracket that is:
−
(
−
1
2
)
so that you get
+
1
2
(or
1
2
, basically)
lastly rewrite the whole question
so you will have
3
4
+
2
+
1
2
, you add all of them ...
3
4
+
8
4
+
2
4
=
13
4
EXTRA
you can keep that solution, or you can change it from improper fraction to a mixed number
if you use long division,
13
÷
4
=
3
with a remainder of
1
over
4
.
doing this by calculator you get 3.25, which is basically
3
25
100
=
3
1
4
(A) Vertical angles are congruent
Answer: A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students.
Step-by-step explanation:
Given a 95% confidence interval of : (2.4, 20.4)
The lower boundary of the interval = 2.4
The upper boundary of the interval = 20.4
Male = group 2, Female = group 1
P2 - P1 is between lower boundary more and upper boundary more ;
Hence
Population mean weight for male is 2.4 more to 20.4 more than female
Answer:
Length = Width = Height = 64 ; Luggage Box is a CUBE
Step-by-step explanation:
Given : Length (L) + Width (W) + Height (H) ≤ 192 ; & Length = Width
Volume ( V )of luggage [Cuboid] = L.W.H
Since L = W :
V = L.L.H → V = L^2H
L + L + H = 192 → 2L + H = 192 → H = 192 - 2L
Putting value of 'H' in 'V'
V = L^2 (192 - 2L) → V = 192L^2 - 2L^3
Maximising volume function , differentiating it w.r.t 'L'
dV / dL = 2(192 L) - 3 (2L^2) → = 384L - 6L^2
dV / dL = 384L - 6L^2 = 0
384L = 6L^2 → 384 = 6L
L = 384 / 6 → L = 64 ; W also = 64
Putting value of L in 1st given sum equation : 2L + H = 192
2 (64) + H = 192
128 + H = 192 → H = 192 - 128 → H = 64
Since L = W = H = 64 ; Luggage bag is a Cube
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
