Sequence 1,5,9,13,...
A(0) = 1 +4x0=1
A(1) =1 + 4x1 = 5
A(2) = 1+ 4x2= 9
A(3) = 1 +4x3=13
A(n)= 1+4n A(n-1) = 1+4(n-1) =1+4n-4= - 3+4n
A(n) - A(n-1) = (1+4n) - (-3=4n) = 4
A(n) = A(n-1) +4; 29 is the answer
Conjugate of (a - bi) is (a + bi).
Just change the sign on the imaginary part.
7 + 2i
Answer:
23 chalkboards
Step-by-step explanation:
Given:
Mean length = 5 m
Standard deviation = 0.01
Number of units ordered = 1000
Now,
The z factor =
or
The z factor =
or
Z = - 2
Now, the Probability P( length < 4.98 )
Also, From z table the p-value = 0.0228
therefore,
P( length < 4.98 ) = 0.0228
Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.
We know that
[area of <span>Martha's bathroom]=5*7-----> 35 ft</span>²
[area of one tiles]=(1/4)²-----> 1/16 ft²
if 1 tile has area of--------------> 1/16 ft²
x tiles---------------------------> 35 ft²
x=35/(1/16)-----> x=35*16-----> x=560 tiles
the answer is
560 tiles