Answer:
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Step-by-step explanation:
The estimate of the proportion is the sample proportion.
In the sample:
10 students
4 use a metal pen. So
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Answer:
g(x) = 4/x+1; x = 0, x = h
Only hole of function is at <em>x=(-4)</em>
Step-by-step explanation:
Given the function is
In order to find holes of any function, you should find when function is becoming undefined or say " infinity"
Given function is polynomial function.
It will become undefined become denominator become zero
Solving for x value when denominator become zero
we get possible holes at x=(-4) and x=(-5)
Check whether you can eliminate any holes
Now, Solving for x value when numerator become zero
x=(-5) and x=(-2)
x=(-5) is common is both numerator and denominator.
So that, we can eliminate it.
Therefore, Only hole of function is at x=(-4)
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Answer:
30x +25y = 148
Step-by-step explanation:
We can use substitution to find the point of intersection of ...
Using the second equation, we can write an expression for y:
y = 6 -x
Substituting that into the first equation gives ...
3x +14 = 2(6 -x)
3x +14 = 12 -2x . . . . . eliminate parentheses
5x = -2 . . . . . . . . . . . add 2x-14
x = -0.4 . . . . . . . . . divide by 5
y = 6 -(-0.4) = 6.4
__
Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1
The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.
6x = -5y + c
6(-0.4) +5(6.4) = c = 29.6
The perpendicular line can be written ...
6x = -5y +29.6
In standard form, the equation is ...
30x +25y = 148