Answer:
answer in the photo!
Step-by-step explanation:
Hope it helps :)
Answer: option 4 is the correct answer.
Step-by-step explanation:
The graphs shown in the photo are plots of distance versus time.
Distance travelled = speed × time
On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be
6 × 1.25 = 7.5 miles
She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.
She then ran for another hour at a speed of 5 miles per hour. Distance covered would be
5 × 1 = 5 miles
Total time spent would be
1.25 + 0.25 + 1 = 2.5 hours
Total distance covered would be
7.5 + 5 = 12.5 miles
Therefore, the 4th graph best represents the distance she traveled
Because PQRS is a parallelogram, you know that
![2x-1=y-1](https://tex.z-dn.net/?f=2x-1%3Dy-1)
and
![3y-11=x+4](https://tex.z-dn.net/?f=3y-11%3Dx%2B4)
. (This is because PT and TR are congruent, and the same goes for ST and TQ.)
Writing the equations in standard form, you have
![\begin{cases}2x-y=0\\x-3y=-15\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D2x-y%3D0%5C%5Cx-3y%3D-15%5Cend%7Bcases%7D)
Solving this system gives
![x=3](https://tex.z-dn.net/?f=x%3D3)
and
![y=6](https://tex.z-dn.net/?f=y%3D6)
. So,
![PT=TR=5](https://tex.z-dn.net/?f=PT%3DTR%3D5)
-14x=70
Dive both sides by -14, and you end up with:
x=-5
hope this helps!
Answer:
The mean of the test is 65
Step-by-step explanation:
Let the mean be x and SD be y
3 SD BELOW the mean means that we are taking away 3 SD FROM the mean
Mathematically, we have that as;
x - 3y = 41 •••••(i)
73 is 1 SD above mean
Mathematically;
x + y = 73 ••••••••(ii)
So let us solve both equations simultaneously
Simply multiply equation ii by 3 then add to i
x - 3y = 41
3x + 3y =219
4x = 41 + 219
4x = 260
x = 260/4
x = 65