Answer: 10
Step-by-step explanation:
Divide both parts of the equation by 2:
So first we need to make all of the denominators the same. To do this we multiply the top and bottom of the fraction. Multiply the top and bottom of 1/2 to get 4/8. then multiply the top and bottom of 3/4 by 2 to get 6/8. then add the numerators: 4+6+7= 17. Your answer is 17/8.
Keep in mind that we are not changing the quantity of the fractions, we are just changing how the whole is divided. Hope this helps (let me know if I confused you and I'll elaborate with a chart)
Answer:
The answer is (d)= Selecting a simple random sample from each of a given number of strata formed from the elements in the population.
Stratified random sampling is a sampling method where the population has a number of distinct categories. The population can be organized into separate strata and each stratum is then sampled as an independent sub-population out of which individual elements can be randomly selected. In this case, each unit in a stratum, that is, each element in a group has the chance of being selected into the sample and there is adequate representation of minority sub-groups. With Stratified sampling, the best result occurs when elements within strata are internally homogeneous.
Step-by-step explanation:
Answer:
x=2, z=4, y=-6
Step-by-step explanation:
Add
<u>-9x-y+2z= -4</u>
<u>-6x+y+5z= 2</u>
-9x-6x is -15x
-y+y is 0
2z+5z is 7z
-4+2 is -2
So the equation now looks like this: -15x+7z=-2
Subtract
<u>-6x+y+5z= 2</u>
<u>-4x+y+5z= 6</u>
So the equation will look like this:
<u>-6x+y+5z= 2</u>
<u>-(-4x+y+5z= 6)</u>
-6x+4x is -2x
y-y is 0
5z-5z is 0
2-6 is -4
So the equation now looks like this: <u>-2x=-4</u>
You can find x by dividing -2 on both sides:
<u>x=2 </u>
So 2 is x
Now you can substitute x into 2
-15(2)+7z=-2
-30+7z=-2
7z=28
Divide 7 on both sides:
<u>z=4</u>
So now you can substitute z into 4 (For any of the three equation)
-4(2)+y+5(4)=6
-8+y+20=6
20 minus 8 is 12
y+12=6
Subtract 12 on both sides:
y=-6
So the answers are
x=2, z=4, y=-6
Hope this helps!
Answer: B) 5/12
Step-by-step explanation:
5/6 divided by 2 is the same as 5/6 x 1/2
