The answer to the question is d. irrational
Answer: 96 games
Step-by-step explanation: You want to find out how many games the team won if their win to loss ratio is 16 to 11. Because you want to find the total, adding 16 and 11 gives 27. Multiplying 16/27 by 162 gives 96, the desired wins. Hope this helps! (Could I please have brainliest?)
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
<u>m<Y</u> > <u>m<Z</u> > <u>m<X</u>
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
100 times because it jumped 2place values
Answer:
<u></u>
- <u>a) P(X=1) = 0.302526</u>
- <u>b) P(X=5) = 0.010206</u>
- <u>c) P(X=3) = 0.18522</u>
- <u>d) P(X≤3) = 0.92953</u>
- <u>e) P(X≥5) = 0.010935</u>
- <u>f) P(X≤4) = 0.989065</u>
Explanation:
Binomial experiments are modeled by the formula:
Where
- P(X=x) is the probability of exactly x successes
- p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.
- n is the number of trials
- 1 - p is the probability of fail
- there are only two possible outcomes for each trial: success or fail.
<u>a.) P (x=1)</u>
<u></u>
<u>b.) P (x=5)</u>
<u>c.) P (x=3)</u>
Using the same formula:
<u>d.) P (x less than or equal to 3)</u>
- P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)
Also,
- P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)
You can use either of those approaches. The result is the same.
Using the second one:
- P(X=4) = 0.059335
- P(X=5) = 0.010206
- P(X=6) = 0.000729
- P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953
<u>e.) P(x greather than or equal to 5)</u>
- P(X≥5) = 0.010206 + 0.000729 = 0.010935
<u>f.) P(x less than or equal 4)</u>
- P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)
- P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065