There is a 94.25% probability that a bill for veterinary services costs between $42 and $133 in this local animal hospital, based on calculating Z-scores for $42 and $133 and finding the difference between probabilities.
Explanation:The question pertains to the concepts of statistics, specifically the normal distribution which often appear in situations describing natural phenomena and social behavior. To solve this, we need to calculate the Z-scores for both values given and then look those Z-scores up in a standard normal distribution table, or use a calculator or software that can do this.
A Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. It's measured in terms of standard deviations from the mean.
If X is a random variable from a normal distribution with mean (µ) and standard deviation (σ), the Z-score is calculated by the formula Z = (X - µ)/σ.
For X =$42, Z1 = ($42 - $88)/$24 = -1.92 and for X=$133, Z2=($133-$88)/$24 = 1.88.
The probability that one bill for veterinary services costs between $42 and $133 equals the probability for Z values falling between -1.92 and 1.88. Refer to the standard normal distribution table or a calculator for the corresponding probabilities. The probability for Z1 equals approximately 0.0274, probability for Z2 equals approximately 0.9699. The required probability is then P(Z1
So, "there's a 94.25% chance that a bill for veterinary services costs between $42 and $133 in this local animal hospital".
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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
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
Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(240).
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) =
Can someone tell me if I got this answer correct? If not, what is the correct answer?
Find the area of the circle in terms of Pi
I am needing help please help me
A cutlery manufacturer producer produces 200 units of output at a total cost of $1,500. if total variable costs are $500, the average variable cost (per unit) is ______. $2.5 $3.00 $2.00 $1.00 $7.50
Since there are 200 units and variable costs are $500, we do a simple division, like this:
500/200 = 2.5.
So the answer is: 2.5
Hope this helped! c:
Eya is 7 less than threee times bills age.if eya is 17 how old is bill
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 “
Joseph buys a bag of 60 pieces of taffy. In the bag, there are 6 cinnamon pieces, 18 raspberry pieces, 12 key lime pieces, and the rest are candy apple pieces. If he randomly draws one piece of taffy, what is the probability that it is a piece of key lime taffy?
A. 0.1
B. 0.4
C. 0.02
D. 0.2
Answer:0.2
Step-by-step explanation:
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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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.
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
"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:
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
A boat can travel 511 kilometers on 102.2 liters of gasoline. how far can it travel on 91.3 liters?
Q # 11 write the rule for the linear
List two school activities that u do in the morning time and afternoon time.write time for these two activities
Anybody know how to figure this one?
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.
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?
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?
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?
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.
Please help !!!!!!!!
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
The product of two consecutive even integers is 120. Find the interfere
For a test of : p 0.50, the sample proportion is 0.36 based on a sample size of 100. use this information to complete parts (a) through (c) below.
The question involves hypothesis testing for proportions. The p-value is calculated using the normal distribution for proportions. In this case, the p-value is found to be 0.0417.
The question involves hypothesis testing for proportions. The null and alternative hypotheses need to be defined for the study.
The p-value is calculated using the normal distribution for proportions.
In this case, the p-value is found to be 0.0417. We can conclude that there is sufficient evidence to reject the null hypothesis and conclude that there is a difference between the proportions of households in the two communities.