Answer: The margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%)
Step-by-step explanation:
Given : A New York Times poll found that 47% of the women said they do not get enough time for themselves.
The poll announced a margin of error of ± 3% for 95% confidence in its conclusions.
A margin of error gives that value of percentage error of in results by which any random value will differ from the real population value.
Here the margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%).
Answer:
(1, -1)
Step-by-step explanation:
You have the point ...
(3, f(3)) = (3, -1)
The corresponding point on the horizontally compressed graph will be ...
(3x, f(3x)) = (3, -1)
(x, f(3x)) = (1, -1) . . . . . the first coordinate of the given point is divided by 3
Answer:
The number of vials of type A insulin sold were _<u>21</u>__ and the number of vials of type B insulin sold were __<u>29</u>__.
Step-by-step explanation:
Let a = number of type A vials.
Let b = number of type B vials.
38.85a + 30.34b = 1695.71
a + b = 50
38.85a + 30.34b = 1695.71
(+) -38.85a - 38.85b = -1942.50
---------------------------------------------------
-8.51b = -246.79
b = 29
a + b = 50
a + 29 = 50
a = 21
Answer: The number of vials of type A insulin sold were _<u>21</u>__ and the number of vials of type B insulin sold were __<u>29</u>__.
Circumference of the outer circle = 2πr = 2π(6) = 12π
circumference of the outer arc = 120/360 x 12π = 12.57cm
circumference of the inner circle = 2πr = 2π(5) = 10π
circumference of the inner arc = 120/360 x 10π = 10.47 cm
Difference in length = 12.57 - 10.47 = 2.1cm (1 d.p.)
Answer: 2.1cm
