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Alisiya [41]
3 years ago
14

Solve this equation(15x^3- 2)^3= 2197

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

x=1

Step-by-step explanation:

(15x^3- 2)^3= 2197

Take the cube root of each side

(15x^3- 2)^3 ^ 1/3= 2197^ 1/3

15x -2 = 13

Add 2 to each side

15x^3- 2+2= 13+2

15x^3 =15

Divide each side by 15

15x^3 /15 =15/15

x^3 =1

Take the cube root of each side

x^3 ^1/3 = 1^1/3

x=1

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Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

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Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

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