James has a dog grooming service he charges a flat rate of $50 per month plus $100 per grooming Bradley does not charge a monthl
1 answer:
Answer:
The numbers of grooming visits for which James and Bradly would charge the same amount is 2
Step-by-step explanation:
Let the numbers of grooming visits be x and the charge in dollars be y
Then according to the question :
The amount (dollars) James charge for w visits is
y=10w+50 ------------------------------------------------(1)
The amount (dollars) James charge for w visits is
y=35w -------------------------------------------------------(2)
On equating (1) and (2)
35w = 10w+50
Grouping the like terms on the same side
35w-10w = 50
25w = 50
w = 2
Thus for 2 grooming visits James and Bradly would charge the same amount
You might be interested in
Answer:
a)
b)
c)
And we can use the complement rule like this:
And replacing we have:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
We can model the number of correct questions answered with a binomial distribution
Solution to the problem
Assuming the following questions:
a) the first question she gets right is the 6th question?
For this case we want the first 5 questions incorrect and the last one correct, assuming independence we have:
(b) she gets all of the questions right?
For this case we want all the questions right so then we want this:
(c) she gets at least one question right?
For this case we want this probability:
And we can use the complement rule like this:
And replacing we have:
Answer:
x = 3
Step-by-step explanation:
Square both sides of the equation
(x - 3)(x - 5) = 0
x = 3 or 5
Now, you must always check your results because a result may not satisfy the original equation.
If x = 3, then and 3 - x = 3 - 3 = 0
So 3 satisfies the original.
If x = 5, then , but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.
That means that x = 3 is the solution to the equation.
Binomial distribution formula: P(x) = (n k) p^k * (1 - p)^n - k
a) Probability that four parts are defective = 0.01374
P(4 defective) = (25 4) (0.04)^4 * (0.96)^21
P(4 defective) = 0.01374
b) Probability that at least one part is defective = 0.6396
Find the probability that 0 parts are defective and subtract that probability from 1.
P(0 defective) = (25 0) (0.04)^0 * (0.96)^25
P(0 defective) = 0.3604
1 - 0.3604 = 0.6396
c) Probability that 25 parts are defective = approximately 0
P(25 defective) = (25 25) (0.04)^25 * (0.96)^0
P(25 defective) = approximately 0
d) Probability that at most 1 part is defective = 0.7358
Find the probability that 0 and 1 parts are defective and add them together.
P(0 defective) = 0.3604 (from above)
P(1 defective) = (25 1) (0.04)^1 * (0.96)^24
P(1 defective) = 0.3754
P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358
e) Mean = 1 | Standard Deviation = 0.9798
mean = n * p
mean = 25 * 0.04 = 1
stdev =
stdev = = 0.9798
Hope this helps!! :)