James plays Mahir in tennis. From James' past experience, he believes he has a 60% chance of winning. Assume the outcome of each
1 answer:
The chances of Mahir winning all 3 games against James is 0.064
<u>Explanation:</u>
Given:
James chances of winning = 60%
Therefore,
Mahir chances of winning = 100 - 60%
= 40%
Total number of matches = 3
Total percent of winning = 100%
Thus,
The chances of Mahir winning =
= 0.064
Therefore, the chances of Mahir winning all 3 games against James is 0.064
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<u>Answer-</u>
The equation that describes the pattern is,
<u>Solution-</u>
P = Number of minutes Rodney spends practicing playing the piano
G = Number of minutes Rodney spends practicing playing the guitar
Taking P on x axis and G on y axis, the points are,
Taking first two points i.e , the line equation will be,
Putting the other two points i.e in the equation, they also satisfy the equation. That means they are also on the same line
.
From the result, it is evident that P and G are linearly related.
Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles
The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°
The reason the selection is correct is as follows:
The given angles are;
m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°
∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines
Therefore, they are same–side interior angles
Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary
Therefore, we have;
m∠1 + m∠5 = 180°
Which gives;
(30·x - 30)° + (40·x + 70)° = 180°
(70·x + 40)° = 180°
70·x = 180° - 40° = 140°
m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°
m∠1 = 30°
m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°
m∠5 = 150°
The correct option is therefore;
Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°
Learn more about parallel lines cut by a transversal here: