Answer: 27434
Step-by-step explanation:
Given : Total number of vials = 56
Number of vials that do not have hairline cracks = 13
Then, Number of vials that have hairline cracks =56-13=43
Since , order of selection is not mattering here , so we combinations to find the number of ways.
The number of combinations of m thing r things at a time is given by :-

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

Hence, the required number of ways =27434
Answer:
use PEDMAS
P: PARENTHESIS
E: EXPONENTS
D: DIVISON
M: MULTIPLICATION
A: ADDITION
S: SUBTRACTION
Step-by-step explanation:
CAN YOU PLS MARK ME BRAINLIEST THANK YOU !
Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
Answer:

Step-by-step explanation:
Combine the opposite terms in r − 3 − r
.
Answer:
the first one but make sure to divide
Step-by-step explanation: