Answer:
Vertical angles are angles that are opposite each other when two lines intersect each other. And they are always equal.
==> 2y +5 = 4y
==> 4y - 2y = 5
==> 2y = 5
==> ![y = \frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
Option D
Let the unknown number be x.
4*(x + (-3)) = 4 + 2x
4x -12 = 4 + 2x
2x = 16
x = 8
Hence, the number is 8.
Answer:
For systolic pressure data:
![\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D127.2%5C%5C%5C%5CS%3D17.91668%5C%5C%5C%5CCV%3D%5Cfrac%7B17.91668%7D%7B127.2%7D%3D0.14085)
For diastolic pressure data:
![\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D73.5%5C%5C%5C%5CS%3D12.54%5C%5C%5C%5CCV%3D%5Cfrac%7B73.5%7D%7B12.54%7D%3D0.17061)
Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.
Step-by-step explanation:
The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:
![CV=\frac{\bar X}{S}](https://tex.z-dn.net/?f=CV%3D%5Cfrac%7B%5Cbar%20X%7D%7BS%7D)
![S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2](https://tex.z-dn.net/?f=S%20%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%20%5Csum_%7Bi%3D1%7D%5En%20%28x_i-%5Cbar%7Bx%7D%29%5E2)
![\bar X={\frac{1}{n} \sum_{i=1}^n x_i](https://tex.z-dn.net/?f=%5Cbar%20X%3D%7B%5Cfrac%7B1%7D%7Bn%7D%20%5Csum_%7Bi%3D1%7D%5En%20x_i)
For systolic pressure data:
![\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D127.2%5C%5C%5C%5CS%3D17.91668%5C%5C%5C%5CCV%3D%5Cfrac%7B17.91668%7D%7B127.2%7D%3D0.14085)
For diastolic pressure data:
![\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D73.5%5C%5C%5C%5CS%3D12.54%5C%5C%5C%5CCV%3D%5Cfrac%7B12.54%7D%7B73.5%7D%3D0.17061)
It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.
Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.
Given that t<span>here
are 20 light bulbs in 5 packages.
The table to find the rate
that gives you the number of light bulbs in 3 packages is given as follows:
![\begin{tabular} {|c|c|c|c|c|c|} Light bulbs&4&8&12&16&20\\[1ex] Packages&1&2&3&4&5 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0ALight%20bulbs%264%268%2612%2616%2620%5C%5C%5B1ex%5D%0APackages%261%262%263%264%265%0A%5Cend%7Btabular%7D)
Three different ways in which the rate can be written are:
12 light bulbs to 3 packages
12 light bulbs : 3 packages
12 light bulbs / 3 packages
</span>
B because if you multiplie it it's the answer b