Answer:
4,17,13,7
Step-by-step explanation:
i got it right :)
To assist Hugo in organizing patron pet ownership into a two-way frequency table, calculations were made to determine the number of patrons with both a dog and a cat, leading to a complete frequency table illustrating pet ownership among 41 patrons.
Explanation:Hugo, the veterinarian, is attempting to organize patron pet ownership information into a two-way frequency table. First, let's establish the total number of patrons which is 41. Since 20 patrons do not have a dog, it implies that 41 - 20 = 21 patrons have a dog. Of the 41 patrons, we know that 17 have a cat. Also, 7 patrons have neither a dog nor a cat. To create the two-way frequency table, we need to figure out how many patrons have both a dog and a cat.
To find the number of patrons with both pets, we add the number of patrons without pets to those with dogs and then subtract from the total number of patrons, which gives us 41 - 20 + 7 = 28. However, since this number includes all dog owners, we need to subtract those who only have dogs and no cats, which gives us 28 - (41 - 17) = 28 - 24 = 4 patrons with both a dog and a cat.
With these calculations, we can now fill out the two-way frequency table:
Patron\PetDogNo DogTotalCat41317No Cat17724Total212041
Note: The sum of the numbers for dog owners and non-dog owners must equal the total number of patrons, and the same applies for cat ownership.
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Which graph represents the function f(x)=1/x+3-2
files are attached below
Answer:
The graph as shown below.
Step-by-step explanation:
Given : The function [tex]f(x)=\frac{1}{x-3}-2[/tex]
We have to plot the graph for the given function [tex]f(x)=\frac{1}{x-3}-2[/tex]
Consider the given function [tex]f(x)=\frac{1}{x-3}-2[/tex]
Domain of function [tex]f(x)=\frac{1}{x-3}-2[/tex]
DOMAIN is set of input values for which the function is real and has defined values.
So, The given function is undefined at x = 3
So, Domain is [tex]x<3\quad \mathrm{or}\quad \:x>3[/tex]
RANGE is the set of values of dependent variable for which the function is defined.
Inverse of given function is [tex]y=\frac{3x+7}{x+2}[/tex]
Now, domain of inverse function is [tex]f\left(x\right)<-2\quad \mathrm{or}\quad \:f\left(x\right)>-2[/tex]
Now, x intercept and y- intercepts
x intercept where y = 0 and y- intercept where x= 0
Let f(x) = y
Then [tex]y=\frac{1}{x-3}-2[/tex]
Put x = 0
thus y- intercept is [tex]\left(0,\:-\frac{7}{3}\right)[/tex]
Now put y = 0
Then x- intercept is [tex]\left(\frac{7}{2},\:0\right)[/tex]
Now, Calculate the vertical and horizontal asymptotes,
Vertical asymptotes,
Go over every undefined point and check if at least one of the following statements is satisfied.
[tex]\lim _{x\to a^-}f\left(x\right)=\pm \infty[/tex]
[tex]\lim _{x\to a^+}f\left(x\right)=\pm \infty[/tex]
Thus, The vertical asymptotes is x = 3
And For horizontal asymptotes,
[tex]\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{1}{x-3}-2\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b[/tex]
We have y = -2 as horizontal asymptotes.
Plot we get the graph as shown below.
Can someone tell me if I got this answer correct? If not, what is the correct answer?
Please help !!!!!!!!
1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the second slip of paper. What is the probability of selecting and odd number and then a number greater than 9? 1/2 1/18 6/10 3/25
On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to complete the last task to make an item.How many items can be completed in 25 minutes?
20 POINTS!!!
a point is translated 2 units to the right and five units down on the coordinate plane, how will this affect the x- and y- coordinates of the point?
Q # 11 write the rule for the linear
the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sad is in each dump truck when the trucks are the same weight
Answer:2 .25 Tons
Step-by-step explanation:
Weight of truck + sand when filled= 18 tons
Discharge rate per minute= 1/8 tons/ minute
Quantity of sand in the truck will be:
1/8tons per minute×18tons = 9/4 = 2.25tons
Find the area of the circle in terms of Pi
I am needing help please help me
The product of two consecutive even integers is 120. Find the interfere
In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nearest 1000) a 12,000 b 13,000 c 14,000 d 15,000
A.) 12,000
B.) 13,000
C.) 14,000
D.) 15,000
Anybody know how to figure this one?
A boat can travel 511 kilometers on 102.2 liters of gasoline. how far can it travel on 91.3 liters?
Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(240).
List two school activities that u do in the morning time and afternoon time.write time for these two activities
Mason earns $70,000 per year and puts 7% of his earnings into a savings account. What is the total amount in Mason's account after 1 year if the interest rate is 3%?
A. $147
B. $72,100
C. $5,047
D. $2,100
Annual income of Mason is 70,000 dollars.
He saves 7% of his annual earnings into a saving account.
So, his savings would be 7% of 70,000 = 0.07 x 70,000 = 4,900 dollars.
The saving account gives an interest rate of 3% per annum.
So the interest accrued on 4900 dollars over the year would be 3% of 4,900 = 0.03 x 4,900 = 147 dollars.
Total amount in the saving account would be sum of principal amount and interest accrued.
Total balance = principal amount + interest accrued.
Total balance = 4900 + 147 = 5,047 dollars.
Hence, option C is correct i.e. 5,047 dollars.
"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probability of type i error if the population mean time lag is 20 days?"
Answer:
17
Step-by-step explanation:
The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play?
Answer:
Step-by-step explanation:
it shows 16 dots but it keeps saying i get it wrong
Answer:
16
Step-by-step explanation:
Plato ( just put 16 nothing extra “
A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?
Simplify the expression 6sqrt2/sqrt3
1.
Find the amount of the annuity.
Amount of Each Deposit: $6,200
Deposited: Semiannually
Rate per Year: 6%
Number of Years: 5
Type of Annuity: Ordinary
$79,408.36
$81,720.90
$71,076.06
$73,208.36
Solve the system of equations. -6y+11x = -36
-4y+7x=-24 −6y+11x=−36 −4y+7x=−24 x= y=
The solution to the system of equations is:
x = 0
y = 6
To solve the system of equations:
-6y + 11x = -36
-4y + 7x = -24
You can use the method of substitution or elimination. I'll use the elimination method here.
First, multiply the second equation by 3 to make the coefficients of y in both equations equal:
-6y + 11x = -36
-12y + 21x = -72
Now, you can subtract the first equation from the second equation to eliminate x:
(-12y + 21x) - (-6y + 11x) = (-72) - (-36)
Simplify:
-12y + 21x + 6y - 11x = -72 + 36
Combine like terms:
-6y + 10x = -36
Now, divide both sides by 2 to simplify:
(-6y + 10x) / 2 = (-36) / 2
-3y + 5x = -18
Now you have a simplified system of equations:
-6y + 11x = -36
-3y + 5x = -18
You can solve this system using either the substitution or elimination method. Let's use the elimination method again. Multiply the second equation by 2 to make the coefficients of x equal:
-6y + 11x = -36
-6y + 10x = -36
Now, subtract the first equation from the second equation:
(-6y + 10x) - (-6y + 11x) = (-36) - (-36)
Simplify:
-6y + 10x + 6y - 11x = -36 + 36
Combine like terms:
-1x = 0
Now, solve for x:
x = 0
Now that you know the value of x, you can substitute it into one of the original equations to find the value of y. Let's use the first equation:
-6y + 11x = -36
-6y + 11(0) = -36
Simplify:
-6y = -36
Now, solve for y:
y = (-36) / (-6)
y = 6
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How do I answer this dot plot?
The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 10% each week. The landscaper will put another dose in the pond when the herbicide level drops below 50 gallons. In about how many weeks will he need to add more herbicide?
The landscaper will need to add more herbicide after approximately 14 weeks, as the level of herbicide will then have degraded from 200 gallons to below the threshold of 50 gallons due to a weekly degradation rate of 10%.
The landscaper pours 200 gallons of herbicide into a pond, and this herbicide degrades at a rate of 10% each week. To find out in how many weeks the herbicide level will drop below 50 gallons, a simple mathematical model that describes exponential decay can be used.
To calculate this, we can use the formula [tex]A = P(1 - r)^n[/tex], where A is the amount of herbicide after n weeks, P is the initial amount of herbicide, and r is the percentage rate of degradation per week.
Starting with 200 gallons and wanting to find when it falls below 50 gallons, we set up the equation 50 = 200(1 - 0.10)^n. Simplifying this yields 50 = 200(0.9)^n. Dividing both sides by 200 gives us 0.25 = (0.9)^n.
To solve for n, we can take the logarithm of both sides. Using the natural logarithm, we get ln(0.25) = n ln(0.9). Then, divide by ln(0.9) to isolate n, giving us n = ln(0.25) / ln(0.9), approximately 13.51.
Since we cannot have a fraction of a week, we round up to the next whole week, thus the landscaper will need to add more herbicide after 14 weeks.
A survey questioned 1,000 high school students. the survey revealed that 48% are honor roll students. of those who are honor roll students, 45% play sports in school and 22% of those that are not honor roll students, don't play sports. what is the probability that a high school student selected at random plays sports in school?
hello can you please help me posted picture of question
You roll a 6-sided die.
What is P(prime)? Simplify your answer and write it as a fraction or whole number.
P(prime) =
Eya is 7 less than threee times bills age.if eya is 17 how old is bill
Jaimie purchased a condo at naples Florida for 699000. She put 20 % down and financed the rest at 5% for 35 yrs what are Jaime total finance charges