Correlation between x & y is 0.6125.
In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.
The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.
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Answer:
The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Step-by-step explanation:
Total length of the steel = 31 inches
Let the length of the first piece = x
let the length of the second piece = y
Let the length of the third piece = z
So,
y = 2x
z = 4x + 3
x + 2x + 4x +3 = total length of the steel = 31
7x + 3 + 31
7x = 31 - 3
7x = 28
x= 4 inches
Thus; y = 2x = 2 × 4 = 8 inches
z = 4x +3 = 4×4 +3 =19 inches
∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Answer: The required probability is 
Step-by-step explanation:
Since we have given that
Number of kids = 10
Number of kids in Team A = 5
Number of kids in Team B = 5
There are three kids in the group, Alex and his two best friends Jose and Carl.
So, number of favourable outcome is given by

Total number of outcomes is given by

So, the probability that Alex ends up on the same team with at least one of his two best friends is given by

Hence, the required probability is 
Answer:
A 190-pound person would burn 285 calories at the same rate.
Step-by-step explanation:
<em>Calories burn depends on the weight</em>
<em>Weight of first person = 160</em>
Calories burn for 160 pounds in 30 mins = 237
Calories burn rate for 1 pound in 30 mins =
= 1.5
<em>Calories burn for 190 Pound person would be:</em>
Weight of second person = 190
Calories burn for 190 pounds in 30 min:
As the burn rate of calories is same for the two persons:
= rate × weight
= 1.5 * 190
= 285 calories