Answer:
alternate angle to angle RUN is angle POU
Step-by-step explanation:
Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.
Now, we want to find the alternate angle to angle RUN.
The same transverse line cuts the other horizontal line PQ at point O.
Therefore the alternate angle to angle RUN is angle POU
Answer:
Step-by-step explanation:
volume=area of side triangle×distsnce between triangles
=1/2×20×8×5
=400 in³
Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x




That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
Step-by-step explanation:were the work at
Answer + Step-by-step explanation:
1) The probability of getting 2 white balls is equal to:

2) the probability of getting 2 white balls is equal to:

3) The probability of getting at least 72 white balls is:

![=\sum^{150}_{k=72} [C^{k}_{150}\times \left( \frac{8}{15} \right)^{k} \times \left( \frac{7}{15} \right)^{150-k}]](https://tex.z-dn.net/?f=%3D%5Csum%5E%7B150%7D_%7Bk%3D72%7D%20%5BC%5E%7Bk%7D_%7B150%7D%5Ctimes%20%20%5Cleft%28%20%5Cfrac%7B8%7D%7B15%7D%20%5Cright%29%5E%7Bk%7D%20%20%5Ctimes%20%5Cleft%28%20%5Cfrac%7B7%7D%7B15%7D%20%5Cright%29%5E%7B150-k%7D%5D)