Mean=total/the number of values =>total=mean*the number of values
the total of the first set of 8 numbers is : total=8*8=64
the total of the second set of 12 numbers is: 12m
the total of the 20 numbers is: 64+12m
the mean of the 20 number is: (64+12m)/20=5
solve for m: 64+12m=100
12m=36
m=3
Answer:
3 x (3 x - 5) (3 x + 5)
Step-by-step explanation:
Factor the following:
27 x^3 - 75 x
Factor 3 x out of 27 x^3 - 75 x:
3 x (9 x^2 - 25)
9 x^2 - 25 = (3 x)^2 - 5^2:
3 x (3 x)^2 - 5^2
Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):
Answer: 3 x (3 x - 5) (3 x + 5)
Answer:
D
Step-by-step explanation:
correct
Answer:
since -3.73 is less than 1.645, we reject H₀.
Therefore this indicate that the proposed warranty should be modified
Step-by-step explanation:
Given that the data in the question;
p" = 13/20 = 0.65
Now the test hypothesis;
H₀ : p = 0.9
Hₐ : p < 0.9
Now lets determine the test statistic;
Z = (p" - p ) / √[p×(1-p)/n]
= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]
= -0.25 / √[0.9 × 0.1 / 20 ]
= -0.25 / √0.0045
= -0.25 / 0.067
= - 3.73
Now given that a = 0.05,
the critical value is Z(0.05) = 1.645 (form standard normal table)
Now since -3.73 is less than 1.645, we reject H₀.
Therefore this indicate that the proposed warranty should be modified
-4 line under > SO -4 > x + 2 < 1
(-4 > x + 2) and (x + 2 < 1)
(x < -6) and (x < 1)
Now combine the ranges
x line under < SO
x < -6 is your answer
Brainliest if satisfied!!!
