Answer:
Vol of the cube =Vol of cubiod
Vol of each smaller cube =s×s×s= 4×4×4=64
Vol of cuboid /Vol of each smaller cube = no of cubes that can be obtained
6720/64= 105
Hence 105 cubes can be obtained
Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
when x = -1, y = -3
when x = -1, y = -1
when x = -1, y = 1
when x = -1, y = 3
Step-by-step explanation:
x = -1; plug in y = 2(-1) - 1 = -2 - 1 = -3
x = 0; plug in y = 2(0) - 1 = 0 - 1 = -1
x = 1; plug in y = 2(1) - 1 = 2 - 1 = 1
x = 2; plug in y = 2(2) - 1 = 4 - 1 = 3
Answer: The sample size would be needed = 385
Step-by-step explanation:
Let p be the prior population proportion.
Margin of error = E
When not estimate of p is given , the formula to calculate the minimum sample size <em>n</em> = 
, where z* = critical value for given confidence interval.
Here z* for 95% confidence level is 1.96.
E=5%=0.05
Then 
Hence, the sample size would be needed = 385
Answer:
(2,-3)
Step-by-step explanation:
I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol
