The period of the function is pi/b, b=2 and therefore the period is pi/2, half of that is the vertical asymptote which is positive or negative pi/4
Answer:
a) Mean = 382.3 psi
Standard deviation = 20.8 psi
b) 392.7 psi
c) P(X<400)=0.8026
Step-by-step explanation:
a) The population mean can be estimated as equal to the mean of the sample, and the population standard deviation can be estimated from the sample standard deviation:


b) We start by searching for the z-value for the 95th percentile. This value is
z=1.645:

Then, the strength value below which 95% of all welds will have their strengths is:

c) We calculate the probability of X being equal or less than 400 as:

Step-by-step explanation:
you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.
so to find x and y intercept
y=25x+3. to find x intercept designate y as zero
0=25x+3
-3=25x
x= -3/25. p( -3/25,0)
y=25x+3 to find y intercept designate x as zero
y=25(0)+3
y=3. p(0,3)
the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.
.05 *.07 = .0035
I assumed you forgot the decimal point
.05 * 07 = .35
0.8 *0.3 =.24
Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.
So yes.