Answer:
They are not equivalent.
Step-by-step explanation:
Before we solve the question, we need to know that from the laws of indices:
A^x x A^y = A^(x+y).
7 to the power of 8th power means 7^8
7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.
7 to the power of 3rd power means 7^3
7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.
Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.
Answer:
It is called this
Step-by-step explanation:
Since the three points are all on the same line, they are called collinear points.
Answer:
a) Attached
b) P=0.60
c) P=0.80
d) The expected flight time is E(t)=122.5
Step-by-step explanation:
The distribution is uniform between 1 hour and 50 minutes (110 min) and 135 min.
The height of the probability function will be:

Then the probability distribution can be defined as:
![f(t)=\frac{1}{25}=0.04 \,\,\,\,\\\\t\in[110,135]](https://tex.z-dn.net/?f=f%28t%29%3D%5Cfrac%7B1%7D%7B25%7D%3D0.04%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%5C%5C%5Ct%5Cin%5B110%2C135%5D)
b) No more than 5 minutes late means the flight time is 125 or less.
The probability of having a flight time of 125 or less is P=0.60:

c) More than 10 minutes late means 130 minutes or more
The probability of having a flight time of 130 or more is P=0.80:

d) The expected flight time is E(t)=122.5

Answer is B
How I got is because I had to first figure out what 40 seconds worth of heartbeats are equal to. 80 - 48 is 32 divided by 2 is 16. Next, I added 48 and 16 which got me 64. All I had to do next was to add 80 and 16 because the rate of heartbeats per 10 seconds is 16. 80+16=96 and thats how I figured that the answer is B
Answer:
(-3, -6, 0)
Step-by-step explanation:
3(-1) = -3
3(-2) = -6
3(0) = 0