Answer:la respuesta es 8/0
Step-by-step explanation:
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
Step-by-step explanation:
For testing of significance of correlation coefficient denoted by r, we create hypotheses in three ways
They are one tailed, two tailed. One tailed can be stated as right tailed and also left tailed.
The null hypothesis would normally be as r=0
Verbally we can say this there is no association between the dependent and independent variable (linear)
Against this alternate hypothesis is created as
either r not equal to 0
or r>0 or r<0
If r not equal to 0, we say two tailed hypothesis test
If r>0 is alternate hypothesis, it is right tailed test
If r<0 is alternate hypothesis, then it is left tailed test.
