Answer:
Option D. 
Step-by-step explanation:
Let
x -----> the original price of one game
y ----> the original price of one security programs
Remember that


The total pay with discount is

we have that


Find the total pay without discount

The amount saved is the difference

Answer: The answer is 
Step-by-step explanation: Given that Kayleigh babysat for 11 hours the present week. Also, this was 5 less than two-third of the number of hours she babysat last week, which is represented by 'h'.
We are to write an equation to represent the number of hours she babysat each week.
So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

Also, it is given that

Therefore,

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.
Thus, the required equation is
where, 'x' and 'h' are the number of hours she sat this week and last week respectively.
The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.
A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. ..... (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. .....(case 2)
Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.
You can divide the two values A = diameter of bacterium B = diameter of virus A/B = (10^(-6))/(10^(-7)) A/B = 10^(-6-(-7)) A/B = 10^(-6+7) A/B = 10^(1) A/B = 10 Since the ratio of the two diameters is 10, this means that the diameter of the bacterium is 10 times greater than that of the virus.
Answer:
0.00111
Step-by-step explanation:
Since the modem receiver takes a majority vote of the five
received bits to estimate the input signal, it will only make a wrong decision if 3, 4 or 5 of the 5 bits received are wrong.
Given that the channel changes an input bit to its complement with probability p =1/10 and it does so independently of its treatment of other input bits, the probability of changing 3 bits out of five is 0.1*0.1*0.1 = 0.001, of changing 4 is 0.0001 and of changing 5 is 0.00001
So, the probability that the modem makes a wrong decision is 0.001+0.0001+0.00001 = 0.00111