Answer:
74degrees............. use tanx=31/10
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
Answer:
7
Step-by-step explanation:
Answer:
The solution is (0, 3/4)
Step-by-step explanation:
Please copy and share the instructions. Here they are: Solve the following system of linear equations.
Both of the equations can be reduced (simplified):
2x+8y = 6 => x + 4y = 3
15x + 20y = 15 => 3x + 4y = 3
Let's use the elimination by addition and subtraction method. Multiply the first equation by -1, obtaining
-x - 4y = -3
Add the second 3x + 4y = 3
equation to the
first.
We get: 2x = 0.
Thus, x = 0. Substituting 0 for x in the 1st original equation yields:
2(0) + 8y = 6. Then y = 6/8, or y = 3/4.
The solution is (0, 3/4).
