Given:
A deep sea diver started at sea level (0 feet).
Rate of diving = 5.6 feet per minute.
Time =
hour
To find:
The rational number that represents his position relative to sea level.
Solution:
We know that,
1 hour = 60 minutes
hour = 30 minutes
A deep sea diver, dove at a rate of 5.6 feet per minute.
Distance covered in 1 minute = 5.6 feet
Distance covered in 30 minute = 30 × 5.6 feet
= 168 feet
The diver dove 168 feet in
hour. Since it is below the sea level, therefore it should be negative.
So, the rational number that represents his position relative to sea level is
feet.
Therefore, the correct option is D.
Answer:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Which variable are we solving for?
For y:
y= 5x-4/ 13
For x:
x= 13y+4/ 5
Answer:
BF = 18
Step-by-step explanation:
In triangle BCD, H is the Centroid.
Centroid of a triangle divides the median in the ratio 2 : 1.
Therefore, BH : HF = 2 : 1
Let BH = 2x & HF = x
Since, HF = 6.... (given)
So, x = 6
2x = 2*6 = 12
BH = 12
Now,
BF = BH + HF = 12 + 6
BF = 18
Answer:
x=6
Step-by-step explanation: