Answer:
The linear equation representing cost after using coupon is 
.
Step-by-step explanation:
Given:
Value of coupon = $18
Let the cost of the calculator be 'x'.
And the Cost after redeeming the coupon be 'y'.
We need to write a linear equation to represent using the coupon.
Solution:
Now we can say that;
Cost after redeeming the coupon will be equal to cost of the calculator minus Value of coupon.
framing in equation form we get;
Hence The linear equation representing cost after using coupon is .
Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:
Then,
(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that: 
The value of P (P) is:
Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:
Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
Answer:
16 centimeters cubed
Step-by-step explanation:
Volume of cone is equal to 1/3 * pi * r^2 * h
We are using 3.14 for pi so I'm going to rewrite my formula for volume.
V=1/3 * 3.14 * r^2 * h
We are given diameter is 3 but we need the radius. We know the radius is half of the diameter so the radius is 1.5 since that is half of 3.
We are given the height is 7.
V=1/3 * 3.14 * 1.5^2 *7
Put into calculator
V=16.485
The whole number that this is closest to is .... 16
So
The Volume of the cone is approximately 16 centimeters cubed.
Answer:
line k
Step-by-step explanation:
SInce line k is the one intersecting line RS.
Answer:
B) The system graphs as one line.
Step-by-step explanation:
The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.
So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.
Hope this helps!
