Step-by-step explanation:
7. x/4=-2.5
x = -2.5/4= 5/8
8. -22=n/2
n = -22×2 =-44
9. 1/3z = -5
z = -5×3 =-15
10. -1/4x=5/2
-2=5×4x
-2=20x
x=-20x/2=-10
Answer:
Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer
Step-by-step explanation:
Sample standard deviation, s = 3.2
Population standard deviation, σ = 2
Defining the Null and alternative hypothesis :
H0 : σ = 2
H1 : σ > 2
The test statistic :
Use the Relation :.
[(n - 1)*s²] ÷ σ²
[(10 - 1) * 3.2²] ÷ 2²
(9 * 10.24) ÷ 4
92.16 ÷ 4
= 23.04
We obtain the Pvalue for the distribution :
Using the Pvalue from Chisquare distribution calculator :
Pvalue(Chisquare score, df)
df = n - 1 = 10 - 1 = 9
Pvalue(23.04, 9) = 0.006107
Decision :
If Pvalue is < α ; Reject H0 ; α = 0.05
0.006107 < 0.05 ; We reject H0
Answer:

Step-by-step explanation:
The total number of ways in which 5 specimens can be selected from the dish at random is given as C(40, 5).
Since only one of the five specimens would have the trait, the number of ways of selecting the one specimen out of the 3 specimens with the trait is C(3, 1).
3 specimens have the trait therefore 37 specimens (40 - 3) do not have the trait. The number of ways in which the remaining 4 specimens out of the 5 spemimens that do not have the trait is C(37, 4).
Therefore, the probability that only 1 of the 5 specimens selected will have the trait = 
Answer:
7n-13
Step-by-step explanation:
4n+3n-15+2
7n-15+2
7n-13
The answer is C, 2 over 11.
There are 11 letters in Mississippi, and there is 2 p's, there fore, he has a 2 out of 11 chance to get a P.