Answer:- A line is the undefined geometric term can be described as a one-dimensional set of points that has no beginning or end.
Explanation :-
In geometry, there are three undefined terms : 1) point 2) line 3) plane
- A point has zero dimensions . It has two dimensions in plane and three dimensions in space.
- A line is said to be a one dimensional set of points that has no beginning or end.It has only length.
- A plane has two dimensions.
- Distance is not a geometic term.
Answer: c. -2.15
Step-by-step explanation:
As per given we have:
Null hypothesis :
Alternative hypothesis :
let p be the proportion of firms in the manufacturing sector offer child-care benefits
A random sample of 390 manufacturing firms is selected and 295 of them offered child-care benefits.
sample size : n= 390
sample proportion : ![\hat{p}=\dfrac{295}{390}=0.7564](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B295%7D%7B390%7D%3D0.7564)
Test statistic for proportion :
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
Substitute the values , we get
![z=\dfrac{0.7564-0.80}{\sqrt{\dfrac{0.80(1-0.80)}{ 390}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.7564-0.80%7D%7B%5Csqrt%7B%5Cdfrac%7B0.80%281-0.80%29%7D%7B%20390%7D%7D%7D)
![z=\dfrac{-0.0436}{\sqrt{0.000410256410256}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-0.0436%7D%7B%5Csqrt%7B0.000410256410256%7D%7D)
![z=-2.15257752474\approx-2.15](https://tex.z-dn.net/?f=z%3D-2.15257752474%5Capprox-2.15)
Hence, the value of test statistic = -2.15
Correct option is c. -2.15 .
Answer:
1. p=6
2. d=8
3. h=12
4. g=-4
Step-by-step explanation:
-3 = 7(y - 9/7)
-3 = 7y - 9
7y = -3 + 9
7y = 6
y = 6/7