Answer:
Step-by-step explanation:
Area of the sector is modeled by the expression = 
Here, θ = central angle subtended by the arc
r = Radius of the circle
Area of the red sector = 
= 937.311
≈ 937.31 m²
Therefore, area of the red sector is 937.31 m².
Answer:
(a) 95% confidence interval for the percent of all adults who want to lose weight is (48%, 54%) that is between 48% and 54%
(b) to say that we have 95% confidence in this interval means that there is 95% chance that the true percentage of all adults who wants to lose weight falls in this interval.
Step-by-step explanation:
The question is missing, complete question is below:
A Gallup Poll found that 51% of the people in its sample said "yes" when asked, "Would you like to lose weight?" Gallup announced: "With 95% confidence for results based on the total sample of national adults, one can say that the margin of sampling error is ± 3%."
(a) What is the 95% confidence interval for the percent of all adults who want to lose weight?
(b) What does it mean to say that we have 95% confidence in this interval?
Confidence Interval can be calculated using p±ME where
- p is the sample proportion of national adults who want to lose weight (51%)
- ME is the margin of sampling error (± 3%)
Answer:
27 and 29
Step-by-step explanation:
let A and B the expected numbers
assuming B = A + 2, the problem can be written as follows
¼(A + A + 2) = 14
4*¼(A + A + 2) = 4*14
(A + A + 2) = 56
2A + 2 = 56
A + 1 = 28
A = 27
B = 27 + 2 = 29
So, The length is 8 cm longer than the width.
Area of a rectangle = l *w
48 cm^2 = l *w
l = w+8
48 cm^2 = w * w+8
48 = w^2 +8w
^ that's the equation that models it. Or any other one listed
Ur counter example would mean making that conjecture false.
x^3 > 3x + 3....subbing in 2
2^3 > 3(2) + 3
8 > 6 + 3
8 > 9....this is not true...so ur answer is C. 2
