Answer:
he can make 27 packages and will have 3 pens left over
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
Answer:
40
Step-by-step explanation:
a^2+b^2=c^2
therefore c^2-b^2=a^2
41x41=1681
9x9=81
1681-81=1600
Sqrt1600=40
C = number of parents
c+9 = number of children
2c+9=25
2c=16
c=8
8 parents, 17 children
