Answer:10
Step-by-step explanation:
Answer:
m∠KML+m∠MLK=m∠JKM
Step-by-step explanation:
we know that
The sum of the interior angles of triangle must be equal to 180 degrees
m∠KML+m∠MLK+m∠MKL=180° -----> equation A
m∠JKM+m∠MKL=180° -----> by supplementary angles (form a linear pair)
m∠MKL=180°-m∠JKM ----> equation B
substitute equation B in equation A
m∠KML+m∠MLK+(180°-m∠JKM)=180°
m∠KML+m∠MLK=m∠JKM
Answer:
C. 1/9
Step-by-step explanation:
Assuming the selections are independent, their joint probability is the product of the probabilities of the individual events.
P(pink square) = (# pink squares)/(# squares) = 16/60 = 4/15
P(red or blue round) = (#red or blue rounds)/(# rounds) = 15/36
Then the joint probability is ...
P(defined event) = (4/15)(15/36) = 4/36 = 1/9
Answer:
The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088
Step-by-step explanation:
Given that:
Probability of manufacturing a defective mirror = 0.075
To find the probability that the 3rd defective mirror is the 10th mirror examined:
Let X be the random variable that follows a negative Binomial expression.
Then;
![X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}](https://tex.z-dn.net/?f=X%20%5Csim%20%20-ve%20%20%5C%20Bin%20%28k%20%3D%203%20%2C%20p%20%3D%200.075%29%5C%5C%20%5C%5C%20P%28X%3Dx%29%3D%20%5Cbigg%20%28%5E%7Bx-1%7D_%7Bk-1%7D%5Cbigg%29%5Ctimes%20P%5Ek%5Ctimes%20%281-P%29%5E%7Bx-k%7D)
![= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}](https://tex.z-dn.net/?f=%3D%20%5Cbigg%20%28%5E%7B10-1%7D_%7B3-1%7D%5Cbigg%29%5Ctimes%200.075%5E3%5Ctimes%20%281-0.075%29%5E%7B10-3%7D)
![= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}](https://tex.z-dn.net/?f=%3D%20%5Cbigg%20%28%5E9_2%5Cbigg%29%5Ctimes%200.075%5E3%5Ctimes%20%281-0.075%29%5E%7B7%7D)
![= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B9%21%7D%7B2%21%289-2%29%21%7D%5Ctimes%200.075%5E3%5Ctimes%20%280.925%29%5E%7B7%7D)
![= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B9%2A8%2A7%21%7D%7B2%21%287%29%21%7D%5Ctimes%200.075%5E3%5Ctimes%20%280.925%29%5E%7B7%7D)
= 0.0087999
≅ 0.0088
Answer: 1080 degrees
Step-by-step explanation:
Since the general formular is
(n - 2 )180 = interior angle.
Where n is the number of sides the polygon has.
Octagon has 8 sides so therefore n= 8.
(8-2 ) * 180
= 6 * 180
=1080.
The total number of the interior angles measured is 1080 degrees.