A). Y = 3x - 2
B). Y = 2/3x + 11/3
;)
Answer:
5.
Step-by-step explanation:
x/y = 0.5
x/10 = 0.5
x = 10*0.5 = 5.
Answer: ![17.67](https://tex.z-dn.net/?f=17.67)
Step-by-step explanation:
Given
Sample of 12 measurements has a mean of 16.5 and
a sample of 15 measurements has a mean of 18.6
Take
be the mean and no of measurements
and
be the mean and no of measurements in second case
![\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cbar%7Bx_1%7D%3D%5Cdfrac%7B%5Csum%20a_1%7D%7Bn_1%7D%5C%5C%5C%5C%5CRightarrow%20%5Csum%20a_1%3D%5Cbar%7Bx_1%7D%5Ctimes%20n_1%5C%5C%5C%5C%5CRightarrow%20%5Csum%20a_1%3D198%5Cquad%20%5Cldots%281%29)
Similarly,
![\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cbar%7Bx_2%7D%3D%5Cdfrac%7B%5Csum%20a_2%7D%7Bn_2%7D%5C%5C%5C%5C%5CRightarrow%20%5Csum%20a_2%3D%5Cbar%7Bx_2%7D%5Ctimes%20n_2%5C%5C%5C%5C%5CRightarrow%20%5Csum%20a_2%3D279%5Cquad%20%5Cldots%282%29)
Mean of 27 measurements
![\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cbar%7Bx_3%7D%3D%5Cdfrac%7B%5Csum%20a_1%2B%5Csum%20a_2%7D%7Bn_1%2Bn_2%7D%5C%5C%5C%5C%5CRightarrow%20%5Cbar%7Bx_3%7D%3D%5Cdfrac%7B198%2B279%7D%7B12%2B15%7D%5C%5C%5C%5C%5CRightarrow%20%5Cbar%7Bx_3%7D%3D%5Cdfrac%7B477%7D%7B27%7D%5C%5C%5C%5C%5CRightarrow%20%5Cbar%7Bx_3%7D%3D17.67)
Y directly proportional to X
Y=kX ( k =constant)
30=6k
k=30/6
k=5
plz mark me as brainliest :)
Answer:
D: A rhombus is always a parallelogram
Step-by-step explanation:
A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.