Hmm, so that means that the diagonal of the square is 8
we draw and get a right triangle
pythagorean theorem
the legs are the same measure since it's a square
the hyptonue is 8
so
remember if the legs are a and b and the hypotnuse is c then
a²+b²=c²
alrighty
a=b
c=8
a²+a²=8²
2a²=64
divide both sides by 2
a²=32
sqrt both sides
a=√32
wait, the area is side times side, but it's a square so it's side² which is a²=32
the area is 32
answer is A
Answer:
false I believe
Step-by-step explanation:
hope its right
Answer:
0.172 ; 0.0884 ; 0.9115
Step-by-step explanation:
Proportion or those who feel secure, p = 0.45
Sample size, n = 8
Using the binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
A.) p(x = 5)
P(x =5) = 8C5 * 0.45^5 * 0.55^3
P(x = 5) = 56 * 0.0184528125 * 0.166375
P(x = 5) = 0.1719248540625
P(x = 5) = 0.172
B.) P(x > 5)
P(x > 5) = P(x = 6) + P(x = 7) + P(x = 8)
P(x > 5) = 0.0703 + 0.0164 + 0.0017
P(x > 5) = 0.0884
C.) P( ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)
Using the binomial probability calculator to obtain a direct solution :
P( ≤ 5) = 0.9115
10 large bags and 11 small bags because 10*9=90 and 156-90=66 and 6*11=66 so 90+66=156
Answer:
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be 
Because the sequence multiplies by 3 each time, The base number in that equation would be 
.
So 
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 
.
Combine these 2 equations together and you get:
.
