Step-by-step explanation:
Area of Sector
= θ/360° * πr² (degrees) or 0.5r²θ (radians)
Question 11:
- (88°)/360° * π(19)² = 277.23ft².
Question 12:
- (260°)/360° * π(11)² = 274.54mi².
Question 13:
- 0.5(6.2)²(7π/12) = 35.22km².
Question 14:
- 0.5(7.1)²(5π/3) = 131.97cm².
Question 15:
- (215°)/360° * π(4.5)² = 37.99yd².
Question 16:
- 0.5(21.4)²(13π/18) = 519.54m².
Answer:
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Step-by-step explanation:
The results were roughly normal, so we can find the normal confidence interval.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96*\frac{12}{\sqrt{27}} = 4.53](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B12%7D%7B%5Csqrt%7B27%7D%7D%20%3D%204.53)
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 4.53 = $37.47.
The upper end of the interval is the sample mean added to M. So it is 42 + 4.53 = $46.53.
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Answer:
Hint: 0 is x1, -2 is y1, 10 is x2, and -6 is y2.
Step-by-step explanation:
I'm not sure how to explain it, but that's how you can label your coordinates to make it easier to substitute it into the formula. The first number at the beginning of the coordinate is x and the other is y. For example, (3, 7). The three is x and the seven y. If you have two coordinates, then one group has a 1 underneath it while the other has a 2. Simply put, (x1, y1) and (x2, y2). The only thing left is to find the midpoint of segment AB (or line, not sure) by using the midpoint formula.
(If you still need help, you can always reply back)
Answer:
Find the area of every shape
12 x 9 = 108. Don't divide because there is two
12 x 14 = 168
14 x 9 = 126
15 x 14 = 210
108 + 168 + 126 + 210 = 612
____________________
2 x pi x radius x height + 2 x radius x radius x height
466.5
Step-by-step explanation: