Answer:
The shape of the graph of f(x)=x is that of a linear function.
Step-by-step explanation:
The graph f(x)=x is the parent function of the linear function. It is a positive function since it goes upward from left to right, and it passes through the point of (0,0). It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x. Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.
75% of students = 18
Divide by 3 to find 25% of students.
25% of students = 6
Add the two together or multiply the 25% of students by 4 to get the total number of students.
25% + 75% = 6 + 18 = 24 students
or
25%*4 = 6*4 = 24 students
Answer:
Answer for the question:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.
a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?
c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?
d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)
is given in the attachment.
Step-by-step explanation:
Answer:
The son is 20 and a half years old.
The father is 36 and a half years old.
Step-by-step explanation:
We can solve this easily by turning it into an equation.
Let the mans age be y and the fathers age be x.
y+x=57
x=y+16
We can use the substitution method to solve for the first equation.
y+(y+16)=57
Now we only have one variable to solve for. Add like terms.
2y+16=57
Subtract 16 on both sides.
2y=41
Divide both sides by 2 to isolate y.
y=20.5
Now substitute 20.5 for y to solve for x.
20.5+x=57
Subtract 20.5 from both sides.
x=36.5
<em>The son is 20 and a half years old.</em>
<em>The father is 36 and a half years old.</em>
Hope this helps!
Answer:
6 yds^3
Step-by-step explanation:
I find these easiest if you put all of the dimensions into yards and then multiply
18 ft = 6 yds
36 ft = 12 yds
3 in = 3/36 yds = 1/12 yds now multiply them together
6 x 12 x 1/12 = 6 yds^3
