Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:
P(X) =
.
P(20) = ![\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D53%5C%5C20%5Cend%7Barray%7D%5Cright%5D%20.%280.3%29%5E%7B20%7D.%281-0.3%29%5E%7B33%7D)
P(20) = 
P(20) = 0.0552
To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:
n . p = 53*0.3 = 15.9
n.(1-p) = 53(1-0.3) = 37.1
Since both ARE greater than 5, normal distribution can be used.
To approximate:
mean = n . p = 15.9
standard deviation =
= 3.34
Find the z-score:
z =
= 
z-score = 0.8907
Comparing values:
0.8907 - 0.0552 = 0.8355
3 pieces times 20 degrees equals 60 degrees <span />
Answer:
-2
Step-by-step explanation:
Answer:
Step-by-step explanation:
(i) x+2y=4
(ii) x=4-2y
(iii) 2x-2y=5
substituting (ii) in (iii)
2x-2y=5
2(4-2y)-2y=5
8-4y-2y=5
-6y=5-8
-6y=-3
(iv) y=
substituting (iv) in (ii)
x=4-2y
x=4-2×
x=4-1
x=3
∴ B.(3,
)
HOPE IT HELPS YOU!!!!