Answer:
Step-by-step explanation:
Given that x is a random variable from a binomial distribution with n = 40 and p = 0.9.
We find that mean = np= 36 and variance = npq = 3.6
Std dev = square root of variance = 1.897
When we approximate binomial to normal we say
X' is Normal with mean = 36 and std dev = 1.897
X' is N(36, 1.897)
Note:
The condition for binomial approximating to normal is p should be close to 1/2
Here p is 0.9 and also nq=4 is very small.
So normal approximation may not give accurate results.
Answer:
X=7
Step-by-step explanation:
10+4x=5(x-6)+33
1. Distribute the 5 to both the x and the 6
10+4x=5x-30+33
2. Subtract 4x from 5x ( should be left with 1x but just write x)
10=x-30+33
3. add 30 to both sides (whole number on the left, x on the right)
40=x+33
4. Subtract 33 on both sides
7=x (flip it around)
x=7
1. 12cm long and 2cm wide
2. 8cm long and 3cm wide
3. 6cm long and 4cm wide
Answer:
Step-by-step explanation:
Y should still be 10 since x is 540
The order should be that of the corresponding equal angles
For example 2 triangles ABC and XYZ where <A=X, <B=Y and <C = < Z.
