Step-by-step explanation:
In order to find the number of solutions, we have to expand both sides out first.
First, expand 3(x-2), which will obtain 3x-6.
Next, expand (1/2)(6x-2), which gives 3x - 1.
The result at this point should be as shown below:
Now, we would shift all x terms to the left and all number terms to the right.
After simplifying, the final equation would be:
This is a linear equation and it has one solution.
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
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answer:
y = -3/2x + 4
Step-by-step explanation:
Do rise over run to get the -3/2x
the y-intercept is 4, hence the ‘+4’
Step-by-step explanation:
we see the common difference is
a2-a1 = 11x + 9 - 4x - 5 = 7x + 4
an = an-1 + (7x+4) = a1 + (n-1)×(7x+4)
for a7 we have then
a7 = 4x + 5 + 6×(7x +4) = 4x + 5 + 42x + 24 = 46x + 29
Answer:
4m^4n^2\left(7m^2n^4+1\right)
Step-by-step explanation:
