Answer: it suggests that this equation has no remainder and that the value of x is the factor.
M < 2 and m < 3 are supplementary angles which add up to 180 degrees.
< 2 + < 3 = 180
3x + 17 + 5x - 21 = 180
8x - 4 = 180
8x = 180 + 4
8x = 184
x = 184/8
x = 23
m < 2 = 3x + 17 = 3(23) + 17 = 69 + 17 = 86 degrees
m < 3 = 5x - 21 = 5(23) - 21 = 115 - 21 = 94 degrees
m < 1 and m < 2 are corresponding angles....they are equal.
so m < 1 = 86 degrees <===
Answer:
Step-by-step explanation:
A binary string with 2n+1 number of zeros, then you can get a binary string with 2n(+1)+1 = 2n+3 number of zeros either by adding 2 zeros or 2 1's at any of the available 2n+2 positions. Way of making each of these two choices are (2n+2)22. So, basically if b2n+12n+1 is the number of binary string with 2n+1 zeros then your
b2n+32n+3 = 2 (2n+2)22 b2n+12n+1
your second case is basically the fact that if you have string of length n ending with zero than you can the string of length n+1 ending with zero by:
1. Either placing a 1 in available n places (because you can't place it at the end)
2. or by placing a zero in available n+1 places.
0 ϵ P
x ϵ P → 1x ϵ P , x1 ϵ P
x' ϵ P,x'' ϵ P → xx'x''ϵ P
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
