Answer:
0.083 probability that both are red
Step-by-step explanation:
total marbles = 5 + 7 + 4 = 16
Two marbles drawn out.
Find P(red, and red) = (5/16) * (4/15) = 1/(3*4) = 1/12 = 0.08333
The answer is 5x/2 because all you have to do is add 3x + 2x too make 5x and take 4-2 which is 2 and since it can't be simplified any more, just do 5x/2. Hope this helped! :)
Answer:
There is a probability of P=0.94 that at least 81 rolls are needed to get the sum of 307.
Step-by-step explanation:
The roll of a six-sided die sum has this parameters:
Mean: 3.5
Standard deviation: 1.7
If the die is rolled 81 times, the distribution of the sum of the 81 rolls will have the following parameters:

Note: the variance of the sum of random variables is equal to the sum of the variance of the individual variables.
Then, we can calculate the probabilties that the sum of 81 rolls is lower than 307.

There is 94% of chances that the sum of 81 rolls is lower than 307, so there is a probability of P=0.94 that at least 81 rolls are needed to get the sum of 307.
Answer:
Mark and Lila are 29.83 meters apart.
Step-by-step explanation:
If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 30^2 + 20^2 - 2*30*20*cos(70)
c^2 = 900 + 400 - 1200*0.342
c^2 = 889.6
c = 29.83 m
Mark and Lila are 29.83 meters apart.
Answer: 
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
<u>Solve:</u>
Find the length of UV, where:





Hope this helps!! :)
Please let me know if you have any questions