Answer:
We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218
Step-by-step explanation:
The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.
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Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Using ΔAHC , then
∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x
∠ECD = ∠ACB ( vertical angles are congruent ), thus
∠ECD = ∠ACH + ∠HCB, that is
3x = 80 - 2x + x
3x = 80 - x ( add x to both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Answer:
ur mom
Step-by-step explanation:
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions
