Answer:
In Right Δ ABC with right angle B,
∠A=(3 x -8)°, ∠B=90°, ∠C=(x-2)°
∠A+∠B+∠C=180°[∠ sum property of triangle]
3 x-8+90 + x-2=180
Adding and subtracting like terms
4 x-10+90=180
4 x+80=180
4 x=180-80
4 x=100
x=100/4
x=25°
∠A=3×25-8=75-8=67°
Answer: 
Step-by-step explanation:
Given the following expression:

You need to substitute the given values of "a" and "b" into the expression. Notice that these values are:

Then;

Now you must solve the multiplications:

The final step is to add the numbers. Therefore, you get the following answer:

Answer:
Step-by-step explanation:
Hello!
You need to construct a 95% CI for the population mean of the length of engineering conferences.
The variable has a normal distribution.
The information given is:
n= 84
x[bar]= 3.94
δ= 1.28
The formula for the Confidence interval is:
x[bar]±
*(δ/n)
Lower bound(Lb): 3.698
Upper bound(Ub): 4.182
Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242
I hope it helps!
Answer:
C
Step-by-step explanation:
Just take it lol
Answer:
Step-by-step explanation:
Given is a differential equation of III order,

The characteristic equation would be cubic as

By trial and error, we find that

Thus m=2 is one solution
Since given that
is one solution we get
m = -4+i and hence other root is conjugate 
Hence general solution would be
