Answer:
<u>The probability that you go to the Eagles concert and the weather is good is 51%.</u>
Step-by-step explanation:
1. Let's check the information provided to us to answer the question correctly:
Probability that you will go to a Eagles concert given that the weather is good = 85% = 0.85
Probability that the weather is good = 60% = 0.60
2. What is the probability that you go to the concert and the weather is good?
For answering the question we will use the following formula for dependent events, given that the weather is good:
Probability that you go to the concert and the weather is good = Probability that you will go to a Eagles concert given that the weather is good * Probability that the weather is good
Replacing with the real values, we have:
Probability that you go to the concert and the weather is good = 85% * 60%
Probability that you go to the concert and the weather is good = 0.85 * 0.60 = 0.51
<u>The probability that you go to the Eagles concert and the weather is good is 51%.</u>
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
Okay so 8 (hector) - 3(Mary) = 5 years apart
So, 16 (hector) - 5 (years apart) = 11 (Mary’s age)
Answer:
0/16
Step-by-step explanation:
you use the equation y2-y1/x2-x1 so -12-(-12) which is 0 then do -18-(-2)=-16 so the slope is 0/-16
Answer:
1/18
Step-by-step explanation:
We are considering that we have 2 dices with 6 faces each (so, the probability to gettig any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:
Dice 1= 6 and Dice 2 =5
or
Dice 1= 5 and Dice 2 =6
So, the probability of the event is given as:
P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.
As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).
