Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)
Answer:
10.
Step-by-step explanation:
(2+3+4+5+6) / 2
= 20/2
= 10.
Answer:
![z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B1-1.37%7D%7B%5Cfrac%7B0.67%7D%7B%5Csqrt%7B13%7D%7D%7D%20%3D%20-1.991)
And we want this probability:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-1.991%29)
And using the normal standard distribution or excel we got:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-1.991%29%3D%200.0233)
And the best option would be:
D 0.0233
Step-by-step explanation:
For this case we have the following parameters:
![\mu = 1.37, \sigma =0.67](https://tex.z-dn.net/?f=%20%5Cmu%20%3D%201.37%2C%20%5Csigma%20%3D0.67)
And we select a sample size of n=13. And we want to find this probability:
![P(\bar X](https://tex.z-dn.net/?f=%20P%28%5Cbar%20X%20%3C1%29)
We can assume that the distribution for this case is normal and then we can use the z score formula given by:
![z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%20z%3D%20%5Cfrac%7B%5Cbar%20X%20-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And if we replace the data given we got:
![z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B1-1.37%7D%7B%5Cfrac%7B0.67%7D%7B%5Csqrt%7B13%7D%7D%7D%20%3D%20-1.991)
And we want this probability:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-1.991%29)
And using the normal standard distribution or excel we got:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-1.991%29%3D%200.0233)
And the best option would be:
D 0.0233