The mathematical expression for the given statement is 50 + 10x
<h3>How to write a mathematical expression for this statement?</h3>
The given parameters are:
Initial distance = 50 laps
Rate of increment = 10 laps each week
Represent the number of weeks with x
So, we have:
Number of laps = Initial distance + Rate of increment * Number of weeks
This gives
Number of laps = 50 + 10 * x
Evaluate
Number of laps = 50 + 10x
Hence, the mathematical expression for the given statement is 50 + 10x
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Answer:
The value of P (A ∩ B) is 0.25.
Step-by-step explanation:
Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.
For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

It is provided that events <em>A</em> and <em>B </em>are independent of each other.
And P (A) = P (B) = 0.50.
Compute the value of P (A ∩ B) as follows:

Thus, the value of P (A ∩ B) is 0.25.
23 .........................
The least it could weigh would be 4 tons by rounding 4.4 down
The most it could weigh would be 8 tons by rounding 7.7 up.
Answer:
25 degrees
Step-by-step explanation:
In the picture attached, the lines and the angles are shown. There we can see that:
85° + 2x° + (x-10)° = 180°
75 + 3x = 180
x = (180 - 75)/3
x = 35°
∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:
∠3 = x - 10
∠3 = 35 - 10
∠3 = 25°