Answer:
5/2
Step-by-step explanation:
(2n+4)+6=-9+4(2n+1)
2n+4+6=-9+8n+4
2n+10=-9+8n+4
2n-8n=-9+4-10
-6n=-5-10
-6n=-15
6n=15
n=15/6
simplify
n=5/2
9514 1404 393
Answer:
0
Step-by-step explanation:
If a=b, you are asking for a whole number c such that ...
c = √(a² +a²) = a√2
If 'a' is a whole number, the only whole numbers that satisfy this equation are ...
c = 0 and a = 0.
0 = 0×√2
The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.
__
√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.
_____
<em>Additional comment</em>
If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.
Answer: A
Step-by-step explanation:
Answer:
- Length = 28 meters
- Width = 4 meters
Step-by-step explanation:
Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.
Perimeter of a rectangle:
= Length + length + Width + Width
Therefore:
7x + 7x + x + x = 64
16x = 64
x = 64/16
x = 4 meters
Length is 7 times as long:
= 4 * 7
= 28 meters
Answer:
Step-by-step explanation:
The sample proportion 
The null hypothesis and the alternative hypothesis:
Thus; the test statistics is:
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
