The value of 
.
The value of is 150°. ✅
We know that,
➡ 81° + 
= 180°
➡ = 180° -81°
➡ = 99°
Since an exterior angle of a triangle is equal to the sum of the two opposite interior angles, we have
= + 51°
Substituting the value of ''" in the above equation,
➪ = 99° + 51°
➪ = 150°
<u>Note</u>:-
Kindly refer to the attached file.
Answer:
hello!
the answer is :
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1, 5/2)
Equation Form:
x = 1,y=
5/2
<h2 /><h2>
pls branliest! :)</h2>
Answer:
0.67
Step-by-step explanation:
The times that I choose a person and it claim english as its mother tongue is a random variable with geometric distribution (in this case, the parameter is p=0.82).
Then:
P(X=2) = (0.82) x (0.82) = 0.6724
Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, we have that:
- The mean is of
.
- The standard deviation is of
.
The probability that a diode selected at random would have a length less than 20.01mm is the <u>p-value of Z when X = 20.01</u>, hence:
has a p-value of 0.0228.
0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.
More can be learned about the normal distribution at brainly.com/question/24663213
