the spread of the middle data is called the interquartile range and the left and right twenty five percent data are both called the twenty five percent quartiles
HOPE THIS HELPS
Answer:
<h3> y = -9</h3>
Step-by-step explanation:
The directrix is at the same distance from the vertex as the focus but on the opposite side of the vertex.
x coordinate the same for a focus and a vertex (4) means the parabola opens up or down and the directrix is parallel to the x-axis.
y coordinate of the focus greater than y coordinate of the vertex means the parabola opens up and the directrix lays below the vertex.
-1-(-5) = - 1 + 5 = 4
so: - 5 - 4 = -9 is the y coordinate of points of the directrix
Answer:
A sample of 601 bricks will be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample will we need?
A sample of n bricks will be needed.
n is found when M = 0.04.
We have no estimate for the proportion of defective bricks, so we work with the worst case scenario, which is ![M = 0.04](https://tex.z-dn.net/?f=M%20%3D%200.04)
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}](https://tex.z-dn.net/?f=0.04%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7Bn%7D%7D)
![0.04\sqrt{n} = 1.96*0.5](https://tex.z-dn.net/?f=0.04%5Csqrt%7Bn%7D%20%3D%201.96%2A0.5)
![\sqrt{n} = \frac{1.96*0.5}{0.04}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A0.5%7D%7B0.04%7D)
![(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.04})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%2A0.5%7D%7B0.04%7D%29%5E%7B2%7D)
![n = 600.25](https://tex.z-dn.net/?f=n%20%3D%20600.25)
Rounding up
A sample of 601 bricks will be needed.
The total sum is 180 because 3 angles = 180
54 + 11s + 7s = 180
-54. -54
18s = 126
S = 7
Answer:
x = 65.4
The answer is 65.4 degrees.
Step-by-step explanation:
You can use either sine, cosine, or tangent to find the measure of angle x, but since the lengths of the adjacent leg and the hypotenuse are already given, cosine will be the easiest to use. The adjacent leg is 5 units long, and the hypotenuse is 12 units long.
Remember, cos(x) = adjacent / hypotenuse.
cos(x) = 5/12
( ) both sides
(cos(x)) =
(5/12)
Simplify (
(cos(x)) ⇒ x)
x =
(5/12)
Use calculator (make sure it is in degrees, not radians)
x = 65.37568165...
Round to the nearest tenth
x = 65.4
I hope this helps.