Answer: second choice
Step-by-step explanation:
Answer:
- 0.196 < μ < +0.196
Step-by-step explanation:
n = 100
σ = 1
X bar (x⁻) = 0
1 - ∝ =95%
μ = ?
= X bar (x⁻) ± Z ∝/₂ * σ/√n
Finding ∝:
To find ∝, we will convert the confidence interval i.e. 95% into decimal by dividing it with 100 and subtracting it from 1.
1 - ∝ = 95%
1 - ∝ = 95/100
1 - ∝ = 0.95
∝ = 1 - 0.95
∝ = 0.05 -----(1)
We have to calculate ∝/2 so dividing both sides of (1) with 2
∝/2 = 0.05/2
∝/2 = 0.025
We will find the value of 0.025 in z-table. The value is:
Z ∝/2 = 1.96
For further calculations, we will use the value of Z∝/2.
Putting all values in the formula.
= 0 ± 1.96 * 1 / √100
We can also write this in the following form:
0 - 1.96/ √100 < μ < 0 + 1.96 / √100
- 1.96 / 10 < μ < 1.96 / 10 ∴ √100 = 10
- 0.196 < μ < + 0.196
55.5 already is to the nearest tenth.
Answer:
12.56 inches
Step-by-step explanation:
Circumference of circle = 3.14 × Diameter
= 3.14 × 4 inches
= 12.56 inches
Answer:
The answer to your question is: letter A
Step-by-step explanation:
x³ - x² - 14x + 24 = 0
If two is a zero of the polynomial, then x = 2, divide the polynomial by 2.
Synthetic division
1 - 1 - 14 + 24 2
2 2 -24
1 1 -12 0
Result x² + x - 12 = 0
Factor the polynomial, find two numbers that multiply gives -12 and added gives + 1.
These numbers are + 4 and - 3
+4 - 3 = +1
(+4)(-3) = -12
(x + 4) (x - 3) = 0
Finally
(x +4)(x - 3)(x -2) = 0
