Answer:
9
Step-by-step explanation:
Solution
Here,
(a^3)^6=(a^2)^x
or, a^18=a^2x
or, 18=2x
or, x=18/2
x=9
Answer:
12.10 out of 58.60 is 20.648464163822524 or 21%
Step-by-step explanation:
work out the difference (increase) between the two numbers you are comparing
Increase = New Number - Original Number
Divide the increase by the original number and then multiply the answer by 100
% increase = Increase ÷ Original Number × 100.
Answer:
x=13
Step-by-step explanation:
119-2=117
117÷9=13
9×13+2=119
Answer:
15
Step-by-step explanation:
Using the distance formula
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