The Pretty Pizza Company wants to open a new pizza place either on the north side of town or the south side of town. They want t
1 answer:
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Answer:
scale factor =
Step-by-step explanation:
Compare the ratio of corresponding sides, image to original.
AB = 6 units and A'B' = 2 units, thus
scale factor = =
=
All the answers to the given parts are mentioned below -
<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.
We can write the proportional relationship as -
y = kx
Now, from the given information, we can write -
2 scoops need 0.5 gallon of water
6 scoops need 1.5 gallon of water
So -
k = 2/0.5
k = 2/(1/2)
k = 2 x 2 = 4
Equations that represents the relationship can be written as -
y = 4x + c
Now, 2 scoops need 0.5 gallon of water.
2 = 4 x 1/2 + c
2 = 2 + c
c = 0
So, the equation will be y = 4x.
Graph of y = 4x is attached at the end.
For 10 scoops of water -
10 = 4x
x = 2.5 gallons of water is needed.
Therefore, all the answers to the given parts are mentioned above.
To solve more questions on proportional relationship, visit the link below-
#SPJ1
Answer:
a) 99.84% probability that during a year, you can avoid catastrophe with at least one working drive
b) 99.999744% probability that during a year, you can avoid catastrophe with at least one working drive
Step-by-step explanation:
For each disk drive, there are only two possible outcomes. Either it works, or it does not. The disks are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
4% rate of disk drive failure in a year.
This means that 96% work correctly,
a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
This is when
We know that either none of the disks work, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
99.84% probability that during a year, you can avoid catastrophe with at least one working drive
b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
This is when
We know that either none of the disks work, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
99.999744% probability that during a year, you can avoid catastrophe with at least one working drive