Answer:
3^-3 we can write if the power is in negative sign in fraction it will be positive like if a^-2=1/a2
so if the power of 3 is -3 like 3^-3 then we can write it as 1/3^3 or we can write 1/3*3*3
3^-3=1/27
Answer: y=12 x=28
Explanation:
x=Amount of Small Lanterns y=Amount of Large Lanterns
25x+40y=1180
x+y=40
x=40-y
25(40-y)+40y=1180
1000-25y+40y=1180
1000+15y=1180
15y=180
y=12
x+12=40
x=28
Answer:
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. hope that helps love!
Complete Question
Which sample size, n, gives the smallest standard deviation of the null distribution of sample proportions if the hypothesized long-run proportion π is 0.25?
Select one:
a. 50
b. 30
c. 40
d. 20
Answer:
The correct option is a
Step-by-step explanation:
Generally standard deviation for
is mathematically represented as
![S = \sqrt{\frac{\pi * (1- \pi)}{n} }](https://tex.z-dn.net/?f=S%20%3D%20%20%5Csqrt%7B%5Cfrac%7B%5Cpi%20%2A%20%281-%20%5Cpi%29%7D%7Bn%7D%20%7D)
Where n is the sample size
So from the equation we see that
![S \ \ \ \alpha \ \ \ \frac{1}{\sqrt{n} }](https://tex.z-dn.net/?f=S%20%5C%20%5C%20%5C%20%5Calpha%20%20%20%20%5C%20%5C%20%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%7Bn%7D%20%7D)
So this tell us that the more the sample size the lesser the standard deviation so the correct of to is A
Answer:
2/4 = 1/2
Step-by-step explanation:
Firstly expand cos(x - 30)....which is..
[cos x.cos 30 + sin x.sin 30]
If sin x = -1/2...then cos x = square root of 3/2
Then substitute the values into the expansion above....which...,
[(square root of 3/2)(square root of 3/2) + (-1/2)(1/2) ]
; 3/4 - 1/4 = 2/4
;Ans = 2/4 = 1/2