Answer:
Variance for a total of 150 games is 20.67
Step-by-step explanation:
If x follows binomial distribution with parameters n and p then the probability distribution of tends to N (0.1)
As where E(x)= np, var (x) = npq
var (x) = 1500.165 (1-0.165)
(since, n= 150, p=0.165,
q = 1-p = 1-0.165)
= 20.66625
var (x) = 20.67
variance for a total of 150 games is 20.67
Answer:
(8.213 ; 8.247)
Step-by-step explanation:
Given the data :
No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Dia. 8.23 8.16 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24
Sanple size, n = 15
Sample mean, xbar = Σx / n = 123.45 / 15 = 8.23
The sample standard deviation, s = √(x -xbar)²/n-1
Using calculator :
Sample standard deviation, s = 0.03116
s = 0.031 (3 decimal places)
The 95% confidence interval :
C.I = xbar ± (Tcritical * s/√n)
Tcritical at 95%, df = 15 - 1 = 14
Tcritical = 2.145
C.I = 8.23 ± (2.145 * 0.031/√15)
C.I = 8.23 ± 0.0171689
C.I = (8.213 ; 8.247)
Answer:
x=−23
Step-by-step explanation:
14+x=−9
Step 1: Simplify both sides of the equation.
x+14=−9
Step 2: Subtract 14 from both sides.
x+14−14=−9−14
x=−23
Answer: 3.333 lbs of rice
Step-by-step explanation:
10/6=3.333
Answer:
D)
Step-by-step explanation:
TY is a ray.
FR is a segment.
Ray TY intersects segment FR at point P.
Answer: D)