Answer:
Option 3
Step-by-step explanation:
we know that
The solution show in the graph represent the interval [4,∞)
All real numbers greater than or equal to 4
In a number line the solution is the shaded area at right of x=4 (closed circle)
The number 4 is included in the solution set
therefore
Option 3
Refer to the pic above.
Concepts used :
1. Trigonometric Properties
2. Domain limitation
3. assumption
Answer:
a) P(z<-0.66) = 0.2546
b) P(-1<z<1) = 0.6826
c) P(z>1.33) = 0.9082
Step-by-step explanation:
Mean = 300
Standard Deviation = 75
a) Less than 250 hours
P(X<250)=?
z = x - mean/ standard deviation
z = 250 - 300 / 75
z = -50/75
z = -0.66
P(X<250) = P(z<-0.66)
Looking for value of z = -0.66 from z score table
P(z<-0.66) = 0.2546
b. Between 225 and 375 hours
P(225<X<375)=?
z = x - mean/ standard deviation
z = 225-300/75
z = -75/75
z = -1
z = x - mean/ standard deviation
z = 375-300/75
z = 75/75
z = 1
P(225<X<375) = P(-1<z<1)
Looking for values from z score table
P(-1<z<1) = P(z<1) - P(z<-1)
P(-1<z<1) = 0.8413 - 0.1587
P(-1<z<1) = 0.6826
c. More than 400 hours
P(X>400) =?
z = x - mean/ standard deviation
z = 400-300/75
z = 100/75
z = 1.33
P(X>400) = P(z>1.33)
Looking for value of z = 1.33 from z-score table
P(z>1.33) = 0.9082
Okie, so a parent function is one that is the basic type of the graph. So, the best way to know is the exponents on the x's and or factored form etc. The function g(x) is easily determinable. Let's distribute g(x)
3(x-5) = 3x -15. This is the equation of a line with a slope of 3 and a y-intercept of -15. Therefore, the parent graph that is similar to it is the line graph y = x. I hope this helps :-)
200.96 millimeters I believe. The formula for the area of a circle is pi r^2 :)
