Answer:
11.91
Step-by-step explanation:
The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.
In triangle TUV, the side length created by the points VT is the hypotenuse.
For right-angle triangles, you can use the Pythagorean theorem to find any side.
It's in the format side² + side² = hypotenuse².
To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).
The lengths of other sides:
VU:
-3 is the same. The length is 3.5 - (-5.75) = 9.25
UT:
-5.75 is the same. The length is 4.5 - (-3) = 7.5
Substitute the lengths into the Pythagorean theorem:
a² + b² = c²
9.25² + 7.5² = c² Simplify
141.8125 = c² Find the square root of both sides to isolate c
c = 11.91 Final answer, length of VT
Answer:
The answer is option A.
Step-by-step explanation:
Subjective probability is defined as a probability which is derived from a person's own experience or belief without relying on any data or scientific calculation.
In the question, the situation given in option A is an example of subjective probability because the analyst is giving a probability based on his or her own belief without using any data at all.
The other options clearly state the probability is being calculated by relying on observations and data.
I hope this answer helps.
Answer:
you multiply the quotient times the divisor and your awnser should be the same as the dividend
Step-by-step explanation:
The piecewise function is
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
<h3>How to determine the piecewise function?</h3>
From the question, we have:
Fares = $2.00 ⇒ up to (and including) 1/2 miles
Fares = $0.70 increment ⇒ greater than 1/2 miles
Let x represent the number of miles, and f(x) the fares.
So, we have:
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
The above represents the piecewise function
Read more about piecewise function at:
brainly.com/question/18859540
#SPJ1
Answer:
A, C are true . B is not true.
Step-by-step explanation:
Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.
The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).
Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75
The mean may not be a possible value of the random variable.
Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'