8% will be the value of sales tax that has been charged on a tie will be.
The tie cost is $22.50
The cost after the tax is $24.30.
The change in the cost will be:
= cost after-tax - cost before tax
=24.30-22.50
=1.8
The percentage change will be
Next, assemble a ratio of the sales tax to the pre-tax cost of the tie.
=Sales tax/Pre-tax value
= (1.8/22.50)*100
=8%
Learn more about subtraction, here:
https://brainly.com/question/13619104
#SPJ1
A rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
Responses
5∙2 1/2∙1 1/2
12 1/2∙1 1/2
1 1/2(5+2 1/2)
1/2(12 1/2∙1 1/2)
please help I am bad at maths
a) The principal of the account is given as follows: 1238.27 euros.
b) The interest rate of the account is given as follows: 4.3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:
r = 1569.4/1504.5 - 1
r = 1.0431 - 1
r = 0.043
r = 4.3%.
After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:
1504.5 = P(1 + 0.043 x 5)
P = 1504.5/(1 + 0.043 x 5)
P = 1238.27 euros.
More can be learned about simple interest at https://brainly.com/question/20690803
#SPJ1
The sum of two consecutive numbers is
27. Find the two numbers.
Answer: 14 and 14
Step-by-step explanation:
So u would Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.
500
9. A tennis ball manufacturer wants to estimate the mean circumference of tennis balls within 0.05 inch.
Assume the population of circumferences is normally distributed. Determine the minimum sample size
required to construct a 95% confidence interval for the population mean. Assume the population
standard deviation is 0.10 inch..
The minimum sample size required to construct a 95% confidence interval for the population mean is 16.
To determine the minimum sample size required to construct a 95% confidence interval for the population mean circumference of tennis balls within 0.05 inch, we need to use the formula for the margin of error:
Margin of error = Z* (σ/√n)
Where Z* is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
Since we want a 95% confidence interval, Z* = 1.96 (from a standard normal distribution table).
We are given that σ = 0.10 inch and we want the margin of error to be 0.05 inch. Plugging in the values, we get:
0.05 = 1.96 * (0.10 / √n)
Solving for n, we get:
n = [(1.96 * 0.10) / 0.05]² = 15.36
We can't have a fractional sample size, so we round up to the nearest whole number. Therefore, the minimum sample size required is 16.
This means that the manufacturer needs to randomly select and measure the circumferences of at least 16 tennis balls to estimate the population mean circumference with 95% confidence and a margin of error of 0.05 inch.
To learn more about sample size click on,
https://brainly.com/question/15178911
#SPJ1
farmer gibson has a heard of 200 cows he sold 60 cows what percentage of his heard remains? Please hurry I need it today!
To find the percentage of Farmer Gibson's herd that remains after he sold 60 cows, we need to calculate the new total number of cows he has.
Number of cows remaining = Total number of cows - Number of cows sold
Number of cows remaining = 200 - 60
Number of cows remaining = 140
So, Farmer Gibson has 140 cows remaining in his herd.
To find the percentage of cows remaining, we can use the following formula:
Percentage = (Number remaining ÷ Total number) x 100
Plugging in the values we have:
Percentage = (140 ÷ 200) x 100
Percentage = 0.7 x 100
Percentage = 70%
Therefore, Farmer Gibson has 70% of his herd remaining after selling 60 cows.
~~~Harsha~~~
.47/100+3/250=/1000+12/1000
Answer:is this actually a question!
Step-by-step explanation:
Drawn from Quiz 5 Prep Notes: 20.5) Suppose that the study in the amount of healing as measured in square mm of new tissue for the median difference between the methods of soaking the amputated injured newt limbs in a control versus a benzamil solution in the previous problem 20.4), yielded a 95% confidence interval of (-0.02, 0.16) mm? Interpret the meaning of the 95% confidence interval: 96% of what must be true? Select the correct order and number of sentence fragments below that wil express the correct interpretation of 95% confidence. Click and drag 8 sentence fragments from the left column to form a correct interpretation of the meaning of 95% confidence in the right column. Your selections must be in the correct order to read the interpretation as correct. ..to create the correct interpretation of confidence here Choose phrases from here... there is a 95% chance that 96% confidence means that will generate confidence intervals that bracket will form confidence intervals that fit within the confidence interval of (-0.02. 0.16) we have calculated there is a 95% chance that 95% confidence means that will generate confidence intervals that bracket will form confidence intervals that fit within the confidence interval of (-0.02, 0.16) we have calculated. has at least as much healing as was seen in for the median difference of healing in mm the true median difference the true mean difference all random samples drawn 95% of will exist within the confidence interval the sample median difference of new tissue formed in mm. between the methods of soaking in a control vs benzamil solution
The 95% confidence interval of (-0.02, 0.16) mm for the median difference between the methods of soaking the amputated injured newt limbs in a control versus a benjamin solution means that we are 95% confident that the true median difference of healing in mm will exist within the confidence interval of (-0.02, 0.16).
The 95% confidence interval of (-0.02, 0.16) mm means that there is a 95% chance that the true median difference in healing between the methods of soaking the amputated injured newt limbs in a control versus a benjamin solution falls within this range. This means that 95% of all random samples drawn will exist within this confidence interval, and we can be confident that the methods used in this study have at least as much healing as was seen in the sample median difference of new tissue formed in mm. Therefore, with 96% confidence, we can say that the true median difference in healing between the two methods is somewhere within this range. Methods used to generate confidence intervals that bracket the true median difference will form confidence intervals that fit within the confidence interval of (-0.02, 0.16) we have calculated.
Learn more about confidence intervals:
brainly.com/question/31420373
#SPJ11
A line of best fit predicts that when x equals 33, y will equal 31.65, but y
actually equals 31. What is the residual in this case?
A. -0.65
B. 1.35
C. 0.65
D. 2
pedro is on a bike. he rides 7 miles south and 5 miles east. how many miles would he have saved if he instead took the shortest route?
The number of miles that he would have saved instead would be = 8.6 miles
How to calculate the miles he would have saved?The amount of miles he traveled south = 7 miles
The amount of miles he traveled east = 5 miles
To calculate the number of miles he would have saved, the Pythagorean formula is used;
That is :
C² = a²+ b²
a = 7
b =5
c² = 7²+5²
= 49+25
= 74
c = √74
= 8.6 miles
Therefore, he would have travelled 8.6 miles instead of 12 miles.
Learn more about Pythagorean theorem here:
https://brainly.com/question/28981380
#SPJ1
HELP ASAP PLEASE 20 POINTS!!!!!!
Answer:I’m not so sure but I’m pretty sure it’s the 4th one?
Step-by-step explanation:
Answer:
Option b
Step-by-step explanation:
For x=1, y=-0.5
For x=0, y=2
For x=1, y=-7/2
Graphing the equation on the coordinate plane we get the second graph.
A sports ball has a diameter of 23 cm. Find the volume of the ball. Round your answer to 2 decimal places, and use 3.14 as an approximation of n cm³,
The volume of the sports ball is 6286.28 cm³
What is volume of a sphere?A sphere is round, has no edges, and is a solid shape. Examples of a sphere include; The playing ball, balloon, and even light bulbs .
A sphere is a 3-dimensional shape ,and it's therefore a solid shape.
The volume of a sphere is expressed as;
V = 4/3 πr³
where r is the radius of the sphere and v is the volume.
the radius of the sphere is half the diameter.
D = 2r
r = 23/2 = 11.5
therefore ;
V = 4/3 × 3.14 × 11.5³
V = 18858.85/3
V = 6286.28 cm³ ( 2 decimal place)
Therefore the volume of the ball is 6286.28 cm³
learn more about volume of sphere from
https://brainly.com/question/10171109
#SPJ1
Use the normal distribution of SAT critical reading scores for which the mean is 515 and the standard deviation is 125. Assume the variable x is normally distributed. What percent of the SAT verbal scores are less than 675? If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550?
The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 515, \sigma = 125[/tex]
The proportion of scores less than 675 is the p-value of Z when X = 675, hence:
Z = (675 - 515)/125
Z = 1.28
Z = 1.28 has a p-value of 0.8997.
Hence the percentage is 89.97%.
The proportion of scores greater than 550 is one subtracted by the p-value of Z when X = 550, hence:
Z = (550 - 515)/125
Z = 0.28
Z = 0.28 has a p-value of 0.6103.
1 - 0.6103 = 0.3897, hence the amount is given as follows:
E(X) = 1000 x 0.6103 = 610.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
How many meters is in 270 centimeters
Answer:2.7
Step-by-step explanation:
Formula, divide the value in centimeters by 100 so 1 meter equals 100 centimeters
So 270 centimeters = 270/100 = 2.7
Number of sheets: 55 A) 10-1 What is the ratio of the total height in millimeters of 2 mm thick paper to the total height in millimeters of 23 mm thick papers? Number of papers: 56 B) 10-2 C) 10-3
If the number of papers is 56, the ratio of the total height in millimeters of 2 mm thick paper to the total height in millimeters of 23 mm thick paper is 2:23.
What is the ratio?The ratio is the relative size of two comparable quantities, values, or numbers.
Ratios are computed as the quotients of one value (the numerator) and another (the denominator).
We can depict ratios as decimals, fractions, percentages, or in their standard forms (:).
The total height in millimeters of 2 mm thick paper = 112 mm (56 x 2)
The total height in millimeters of 23 mm thick papers = 1,288 mm (56 x 23)
Ratio = 0.0869 (112 ÷ 1,288) or 2/23 or 8.69%.
Learn more about ratios at https://brainly.com/question/12024093.
#SPJ1
(10x-23) how do i find x with 106 as an arc
I'm assuming you mean "How do I find the value of x such that the arc length of the circle defined by (10x-23) is 106?" So, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 and x ≈ 1.89.
To find the value of x such that the arc length of the circle defined by (10x-23) is 106, we can use the formula for the arc length of a circle:
Arc Length = θr
where θ is the central angle in radians, and r is the radius of the circle.
In this case, we know the arc length is 106, and we need to find the value of x such that the radius is defined by (10x-23). Let's call this radius r.
We can rearrange the formula to solve for the radius:
r = Arc Length / θ
We also know that the central angle in radians is equal to the arc length divided by the radius.
So we can write:
θ = Arc Length / r
Substituting in the values we have:
θ = 106 / (10x-23)
Now we can solve for x. We know that the central angle for a full circle is 2π radians, so the central angle for a circle with radius (10x-23) is:
θ = (2π)(10x-23)
Setting this equal to our previous expression for θ, we have:
106 / (10x-23) = (2π)(10x-23)
Solving for x:
106 = (2π)(10x-23)(10x-23)
106 = (2π)(100x^2 - 460x + 529)
53 = π(100x^2 - 460x + 529)
53/π = 100x^2 - 460x + 529
100x^2 - 460x + (529 - 53/π) = 0
We can solve this quadratic equation using the quadratic formula:
x = [460 ± sqrt(460^2 - 4(100)(529 - 53/π))] / (2(100))
x ≈ 2.71 or x ≈ 1.89
Therefore, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 or x ≈ 1.89.
To learn more about the area of a circle click:
https://brainly.com/question/28642423
#SPJ1
The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of ✓(2) = 8?
A. 2 sides of the cube have a total length of 8 feet.
B. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
C. A cube with a volume of 2 cubic feet has side lengths of 8 feet.
OD. 2 of these cubes will have a total volume of 8 cubic feet.
Answer:
B. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
v(s) = s^3, so v(3) = 2^3= 8
The world record in the long jump is 29 feet 4 inches. How many inches short of 10 yards is the record long jump?
The record long jump is 8 inches short of 10 yards.
We know that 1 yard is equal to 3 feet, so 10 yards is equal to 10 x 3 = 30 feet.
To find out how many inches short of 10 yards the record long jump is, we need to first convert 29 feet 4 inches to inches only.
We can do this by multiplying the number of feet by 12 (since there are 12 inches in a foot) and then adding the number of inches:
29 feet 4 inches = (29 x 12) + 4
= 348 + 4
= 352 inches
Now we can find out how many inches short of 10 yards the record long jump is:
30 feet = 30 x 12 = 360 inches
360 - 352 = 8
Therefore, the record long jump is 8 inches short of 10 yards.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Let f(x) = g(h(x)) = (√2x+5)/2x. Find two sets of possible formulas for g(x)
and h(x), assuming that g(x) does not equal x and h(x) does not equal x. There may be more than one possible answer.
5. Is the bottom shelf parallel to the middle shelf? Explain. (2 points)
Answer:
Yes, the bottom shelf is parallel to the middle shelf. Angle 6 measures 120°, so angles 6 and 11 are congruent alternate exterior angles.
In the coordinate plane, the point A (-2, -4) is translated to the point A' (-3, -1). Under the same translation, the points B (0, -7) and C (-5, -8) are translated to B' and C', respectively. What are the coordinates of B' and C'?
Answer:
B' ( -1,-4)
C' (-6,-5)
Step-by-step explanation:
Take each point and move it one unit left and then 3 units up.
Helping in the name of Jesus.
VAN
Susan practices the piano for 30 minutes per day. Write an equation that represents the total number of minute
m, she practices the piano for t days.
The expression to represent the given situation is M =30t.
Let's use the variable M to represent Susan's overall piano practice time over the course of t days.
Given that Susan practices the piano for 30 minutes every day, the sum of her practice time over the course of t days is:
M = 30t
As a result, M = 30t is the equation that describes the total amount of time Susan spends practicing the piano over the course of t days.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ1
Given a trapezoid with a height of 4.3 m and bases of 9.2 m and 3.2 m, what is the area of the trapezoid? Do not include units in your answer. Round your answer to the nearest tenth.
Answer:
26.5
Step-by-step explanation:
The formula for the area of a trapezoid is:
A = (1/2)h(b₁ + b₂)
where h is the height, b₁ and b₂ are the lengths of the parallel bases.
Substituting the given values:
A = (1/2)(4.3 m)(9.2 m + 3.2 m)
A = (1/2)(4.3 m)(12.4 m)
A = 26.52 m²
Rounding to the nearest tenth:
A ≈ 26.5
Therefore, the area of the trapezoid is approximately 26.5 square meters.
Which is the graph of g(x)=√x-16?
←
The graph of g(x) = √(x - 16) is given by the image presented at the end of the answer.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function in this problem is given as follows:
f(x) =√x
Which has vertex at the origin.
The function g(x) = √(x - 16) is equivalent to g(x) = f(x - 16), which is a translation right 16 units of f(x), according to the graph presented at the end of the answer.
More can be learned about translations at brainly.com/question/28174785
#SPJ1
The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
To learn more about distance between two points click :
https://brainly.com/question/12661159
#SPJ1
Hunter has a cylindrical cup of Cheerwine. Their cup has a volume of about 1356.48 cubic centimeters. The cup has a height of 12 cm. Using 3.14 for pi, what is the radius of the cup?
Group of answer choices
36 cm
3 cm
6 cm
18 cm
The radius of the cylindrical cup is 6 centimeters.
What is the radius of the cup?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given that the volume of the cylindrical cup is 1356.48 cubic centimeters and the height is 12 cm.
We can substitute these values into the formula and solve for the radius:
V = π × r² × h
r = √( V / (πh) )
r = √( 1356.48 / ( 3.14 × 12) )
r = 6 cm
Therefore, the radius is 6cm.
Option C) 6cm is the correct answer.
Learn more on volume of cylinder here: https://brainly.com/question/16685898
#SPJ1
A company wants to open a new store in a mall. They have a choice of three different locations. To decide which location would have the greatest number of people passing by, they select 20 different hours at random from all hours the mall is open during one week and count the number of people who pass by each location. Which of these best explains the validity of the sampling procedure used by the company?
A.
It is valid because the company applied the same procedure to all three locations and used random sampling to select the times to collect data.
B.
It is not valid because the company applied the same procedure to all three locations and used random sampling to select the times to collect data.
C.
It is valid because the company applied the same procedure to all three locations and used a method that is convenient for the survey takers.
D.
It is not valid because the company applied the same procedure to all three locations and used a method that is convenient for the survey takers.
The statement that explains the validity of the sampling procedure used by the company is the company applied the same procedure to all three locations and used random sampling to select the times to collect data. The Option A is correct.
Why is the sampling procedure used by the company valid?The procedure used is valid because they applied the same procedure to all three locations and used random sampling to select the times to collect data.
By using the random sampling, they ensured that they were selecting a representative sample of the entire population of mall visitors.
Also, by applying same procedure to all three locations, they ensured that they were collecting comparable data and this helps to increase the generalizability of their findings and make their decision-making process more reliable.
Read more about sampling
brainly.com/question/24466382
#SPJ1
The height, h, in centimeters of a species of mammal that is t years old can be modeled by the equation below.
h = 37.8 (2.07+)³ + 78.6
What is the best interpretation of f (2.07€) ³2
A. the product of 2.07, the age of the mammal, and one-third
B. the product of the cube root of 2.07 and the age of the mammal
C. the product of 2.07 and the cube root of the age of the mammal
D. the cube root of the product of 2.07 and the age of the mammal
The best interpretation is the product of the cube root of 2.07 and the age of the mammal
How to interptete the equationh = 37.8 (2.07t)³ + 78.6
Now, let's analyze the term (2.07t)³:
2.07t: This term represents the product of 2.07 and the age of the mammal (t).(2.07t)³: This term cubes the product of 2.07 and the age of the mammal (t).Based on this analysis, the best interpretation of (2.07t)³ is:
B. the product of the cube root of 2.07 and the age of the mammal
Read more on mammals here:https://brainly.com/question/24110071
#SPJ1
HELP ASAP PLEASE 10 points
A). spinning a spinner that has 5 equal sections marked 1 through 5 and landing on an even number
B). picking a diamond from a standard deck of playing cards which has 13 cards in each of four suits: spades, hearts, diamonds and clubs
(Information for the problem in the photo)
The probability of spinning an even number on the spinner is 40%.
The probability of picking a diamond from a standard deck of playing cards is 25%.
How to calculate the probabilityP(even) = number of even sections / total number of sections
= 2/5
= 0.4
= 40%
Therefore, the probability of spinning an even number on the spinner is 40%.
P(diamond) = number of diamonds / total number of cards
= 13/52
= 1/4
= 0.25
= 25%
Therefore, the probability of picking a diamond from a standard deck of playing cards is 25%.
Learn more about probability on
https://brainly.com/question/24756209
#SPJ1
Brainliest and 20 points to whoever shows work the best
Using Pythagorean's theorem we can see that the variables are:
t = 13.86
w = 12.81
How to find the values of the variables?Remember that for any right triangle, Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, where the hypotenuse is the side opposite to the 90° angle.
Then for the first triangle we can write:
t² + 8² = 16²
Solving for t:
t = √(16² - 8²) = 13.86
For the second triangle we have:
10² + 8² = w²
Solving for w:
w = √(10² + 8²)
w = 12.81
Learn more about right triangles at:
https://brainly.com/question/2217700
#SPJ1
Your generous wealthy aunt wants to ensure you have enough money to cover rent and food while you go to college so you don’t need to work while you’re in classes. Together you decide $18,000 per year is sufficient to cover your basic needs. How much does your aunt need to invest in a bond mutual fund that yields 3.0% in order for it to provide $18,000 a year for you?
Your close relative has to contribute $17,430 in a bond shared finance that yields 3.0% for it to supply $18,000 a year for you.
How to Solve the Problem?To calculate the sum that your close relative has to contribute in a bond common finance to supply you with $18,000 per year, you wish to utilize the equation for the display esteem of an annuity.
PV = PMT * (1 - (1 + r)^(-n)) / r
where:
PV = display esteem
PMT = installment sum (in this case, $18,000 per year)
r = intrigued rate (3.0%)
n = number of periods (in this case, 1 year)
Substituting the values into the equation:
PV = $18,000 * (1 - (1 + 0.03)^(-1)) / 0.03
PV = $18,000 * (1 - 0.9709) / 0.03
PV = $18,000 * 0.0291 / 0.03
PV = $17,430
Subsequently, your close relative has to contribute $17,430 in a bond shared finance that yields 3.0% for it to supply $18,000 a year for you.
Learn more about bond here: https://brainly.com/question/30649879
#SPJ1