Answer:
4
Step-by-step explanation:
the above question simply means that
{X+3X-K X+4} - k
is exactly divisible by (X -2)
to find the value of K, put X= 2
2+3(2)-K(2)+4-k=0
2+6-2K+4-K = 0
12-3K = 0
12 = 3K
K = 12/3 = 4
K= 4
Answer:
width = 47
Length = 100
Step-by-step explanation:
The perimeter of the rectangle has the formula
P = 2(L + W)
P = 2L + 2W
Length = 6 yards longer than double it's width.
Mathematically,
length = 6 + 2W
We put this into the formula for perimeter
P = 2(6+2W)+2W
294 = 12+4W+2W
294 = 12+6W
Collect like terms
294-12 = 6W
282 = 6w
Divide through by 6
W = 282/6
W = 47
This is the width
Remember length = 6 + 2(W)
So
Length = 6+2(47)
= 6+94
= 100
Width = 47
L = 100
These are the dimensions
Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border
Step-by-step explanation:c=2pie•r^2
M1=35°
m2=65°
m3=29°
m4=115°
m5=65°
m6=36°
m7=144°
Answer:
The null hypothesis is given as 
while the alternate hypothesis is 
Step-by-step explanation:
As per the the given data
p1=Proportion of Homeowners who would buy the security system
p2=Proportion of Renters who would buy the security system
As the null hypothesis states that there is no difference in the test thus it is given as
This states that there is no difference between the probabilities of the homeowners buying the security system and the renters buying the security system.
The Alternative hypothesis is the other possibility of the null hypothesis. i.e It negates the null Hypothesis and is given as
