We will use the following formula to work out the confidence interval
Upper limit = μ + z* (σ/√n)
Lower limit = μ - z* (σ/√n)
We have
μ = 79.3
σ = 7.8
n = 12
z* is the z-score for 95% confidence level = 1.96
Substitute these into the formula, we have
Upper limit = 79.3 + 1.96 (7.8/√12) = 83.7
Lower limit = 79.3 - 1.96 )7.8/√12) = 74.9
Answer:
It depends on the problem
Step-by-step explanation:
Often, you want one or another of the lengths in the right triangle. The Pythagorean theorem gives a relation between the squares of those lengths, so you take the square root as a last step. The last step may be to simplify that square root.
Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>
∵ g(x) = 
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
Answer:
2(x - 9.46)(x + 2.54)
Step-by-step explanation:
2(x² - 12x + 24)
since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:
6+2
, 6-2
Answer:
She actually gave away
of the box.
Step-by-step explanation:
i did the math, please tell me if im wrong tho