Answer:
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Step-by-step explanation:
I am going to solve this question using the events as Venn sets.
I am going to say that:
Event A: Uses the golf courses.
Event B: Uses the tennis courts.
5% use neither of these facilities.
This means that ![P(A \cup B) = 1 - 0.05 = 0.95](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%201%20-%200.05%20%3D%200.95)
75% use the golf course, 50% use the tennis courts
This means, respectively, by:
![P(A) = 0.75, P(B) = 0.5](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.75%2C%20P%28B%29%20%3D%200.5)
Probability that a member uses both:
This is
. We have that:
![P(A \cap B) = P(A) + P(B) - P(A \cup B)](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccup%20B%29)
So
![P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.75%20%2B%200.5%20-%200.95%20%3D%200.3)
What is the probability that the member uses the golf course but not the tennis courts?
This is
, which is given by:
![P(A - B) = P(A) - P(A \cap B)](https://tex.z-dn.net/?f=P%28A%20-%20B%29%20%3D%20P%28A%29%20-%20P%28A%20%5Ccap%20B%29)
So
![P(A - B) = 0.75 - 0.3 = 0.45](https://tex.z-dn.net/?f=P%28A%20-%20B%29%20%3D%200.75%20-%200.3%20%3D%200.45)
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Answer:
<em>x > -9 OR x < -26 </em>
Step-by-step explanation:
there are <em>two</em> possible solutions.
solve absolute value: |0.2x+3.5| > 1.7
now its either 0.2x + 3.5 > 1.7 or 0.2x + 3.5 < -1.7
solution 1 : <em>x > -9</em>
0.2x + 3.5 > 1.7
subtract 3.5 from both sides, so you get
0.2x > -1.8
and then divide both sides by 0.2 or just .2 (theyre both the same thing)
and you end up with x > -9
solution 2 : <em>x < -26</em>
0.2x + 3.5 < -1.7
subtract 3.5 from both sides, get 0.2x < -5.2
divide both sides by 0.2 or .2
end up with x < -26
hope it helps and i did it right
Answer:
2/5 divided by 3/4 is 8/15.
Step-by-step explanation:
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
2x4/5x3 = 8/5
Thus, the answer to 2/5 divided by 3/4 in fraction form is:
8/15
5.5x2 (per m) = 11 I’m pretty sure
Answer:
96 pounds
Step-by-step explanation:
432 pounds =9 boxes
=1 box
=432 pounds/9 boxes
<h3>= 48 pounds per box</h3>
1 box =48 pounds
2 boxes=?
<h3>=48×2</h3><h3>=96pounds</h3>