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Answer: the two factors are (5x + 3) and (2x + 1)
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
Answer:
The critical value for a 98% CI is z=2.33.
The 98% confidence interval for the mean is (187.76, 194.84).
Step-by-step explanation:
We have to develop a 98% confidence interval for the mean number of minutes per day that children between the age of 6 and 18 spend watching television per day.
We know the standard deveiation of the population (σ=21.5 min.).
The sample mean is 191.3 minutes, with a sample size n=200.
The z-value for a 98% CI is z=2.33, from the table of the standard normal distribution.
The margin of error is:
With this margin of error, we can calculate the lower and upper bounds of the CI:
The 98% confidence interval for the mean is (187.76, 194.84).