Answer:
i need points sorry
Step-by-step explanation:
we are given
total number of stickers =24
stickers per cards =4
We are given
number of cards =x
so, we can use formula
number of cards = ( total number of stickers)/(stickers per cards)
we can plug values


so, total number of cards is 6...........Answer
Angles in a triangle always add up to 180 degrees
Here, we add up all the angles given to equal it to 180 degrees:
X + X + 10 + X + 5 = 180
Collect like terms -> 3X + 10 + 5 = 180
Add the whole numbers -> 3X + 15 = 180
Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15
The subtract -> 3X = 165
Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3
Finally, X = 55
Now wherever you see X in the triangle, replace it with 55.
With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 degrees
Complete question :
A company is manufacturing highway emergency ares. Such ares are sup- posed to burn for an average of 20 minutes. Every hour a sample of ares is collected, and their average burn time is determined. If the manufacturing process is working cor- rectly, there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes. The quality engineer in charge of the process believes that if 4 of 5 samples fall outside these bounds then this is a signal that the process might not be performing as expected. Each morning the sampling begins anew. Let X denote the number of samples drawn in order to obtain the fourth sample whose average value is outside of the above bounds. Find the probability that for a given morning X = 5, hence there seems to be a problem right away.
Answer:
0.0285
Step-by-step explanation:
We are to find the probability for a given morning that X = 5
From the question, we could see that there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes and the success of the process is obtained after the fourth or fifth sample.
Thus, r = 4; q = 0.68
The probability average burn time falls outside p will be:
p = 1 - 0.68 = 0.32
The random variable X follows negative binomial distribution.
Therefore,
Where, x = 5
r = 4
p = 0.32
Substituting figures in the equation, we have:
= 0.0285
The probability that for a given morning X = 5 is 0.0285