Answer:
7w=8(2+x)
Step-by-step explanation:
This is basically saying "if you raise an exponent to another exponent, then you multiply the exponents. The product is the new exponent"
For example
The solution of the quadratic equation is x = 0 or x = 6 ⇒ 4th answer
Step-by-step explanation:
The form of the quadratic equation is ax² + bx + c = 0, where
- a is the coefficient of x²
- b is the coefficient of x
- c is the numerical term
The quadratic equations has two roots, to find them factorize it into two factors and equate each factor by zero
∵ 3x = 0.5 x²
- Subtract 3x from both sides
∴ 0 = 0.5x² - 3x
- Multiply both sides by 2 to make the coefficient of x² integer
∴ 0 = x² - 6x
- Switch the two sides
∴ x² - 6x = 0
- Factorize it by taking x as a common factor
∴ x(x - 6) = 0
- Equate each factor by 0
∴ x = 0 → 1st root
∴ x - 6 = 0
- Add 6 to both sides
∴ x = 6 → 2nd root
∴ The roots of the equation are 0 or 6
The solution of the quadratic equation is x = 0 or x = 6
Learn more:
You can learn more about the quadratic equation in brainly.com/question/1357167
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Answer:
Step-by-step explanation:
We would use the t- distribution.
From the information given,
Mean, μ = 2950
Standard deviation, σ = 115
number of sample, n = 25
Degree of freedom, (df) = 25 - 1 = 24
Alpha level,α = (1 - confidence level)/2
α = (1 - 0.98)/2 = 0.01
We will look at the t distribution table for values corresponding to (df) = 24 and α = 0.01
The corresponding z score is 2.492
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
2950 ± 2.492 × 115/√25
= 2950 ± 2.492 × 23
= 2950 ± 57.316
The lower end of the confidence interval is 2950 - 57.316 =2892.68
The upper end of the confidence interval is 2950 + 57.316 = 3007.32
The solution is correct.