The manager of a juice bar polled 56 random customers to get feedback on a new smoothie. the results are shown in the frequency table. a 4-column table with 3 rows. the first column has no label with entries adult, child, total. the second column is labeled like with entries 23, 18, 41. the third column is labeled dislike with entries 6, 9, 15. the fourth column is labeled total with entries 29, 27, 56. complete the statements using the table. the number of children who disliked the smoothie is . the total number of children is . the conditional relative frequency that a customer disliked the new smoothie, given that the person is a child is approximately .
Answers
The number of children who disliked the smoothie is 9, total children is 27, and conditional relative frequency is 33%
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
From the data given in the table:
The number of children who disliked the smoothie = 9
The total number of children = 27
To find the conditional relative frequency that a customer disliked the new smoothie(if the person is a child)
It is the ratio of total number of children who disliked the smoothie to total number of children, mathematically:
= 9/27
= 0.3333
= 0.3333×100
= 33.33 ≈ 33%
Thus, the number of children who disliked the smoothie is 9, total children is 27, and conditional relative frequency is 33%
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Answer:
9, 27, 33
Step-by-step explanation:
Related Questions
work out the value of 5y-6 when y=9
Answers
Hey there!
5y - 6
= 5(9) - 6
= 45 - 6
= 39
Therefore, your answer is: 39
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Can someone help me with this problem?
Answers
Answer:
12(5+3)
Step-by-step explanation:
Again, common greatest number is 12. Just try out numers until its the highest common number.
60/12 = 5
36/12 = 3
so,
12(5+3)
Ms.carter pool supplies what’s the volume 5.5ft , 3ft , 2.25
Answers
if im understanding the question right, the answer is 37.125 feet cubed
Jamie has 70 coins. They total $6.30. If they are only dimes and nickels find out how many of each she has.
Answers
Answer: 56 Nickel and 14 Dime = 70coins
Step-by-step explanation: Dime is 5cents And Nickle is 10cents. (560Cents + 70cents =630Cents )
A. Give the measure of an exterior angle of each of the following regular polygons.
With a Solutions pls
1. Triangle
2. Octagon
3. Hexagon
Pls answer it correctly. need it tomorrow!
Answers
Answer:
120° , 45° , 60°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
the exterior angles of a regular polygon are congruent , then
(1) triangle with 3 sides
exterior angle = 360° ÷ 3 = 120°
(2) octagon with 8 sides
exterior angle = 360° ÷ 8 = 45°
(3) hexagon with 6 sides
exterior angle = 360° ± 6 = 60°
Hal has just graduated from four years of college. for the last two years, he took out a stafford loan to pay for his tuition. each loan had a duration of ten years and interest compounded monthly, and hal will pay each of them back by making monthly payments, starting as he graduates. hal’s loans are detailed in the table below. year loan amount ($) interest rate (%) subsidized? junior 4,048 5.9 n senior 5,295 7.6 y once all of his loans are paid off, what will hal’s total lifetime cost be? round all dollar values to the nearest cent. a. $9,023.28 b. $8,467.20 c. $11,498.40 d. $13,615.20
Answers
Hal's total lifetime cost will be $13,615.20.
Data and Calculations
Table detailing the Loans
1: Year Junior Senior
2: Loan Amount ($) 4,048 5,295
3: Interest Rate (%) 5.9% 7.6%
4: Subsidized? No Yes
5: Future value 4,539.76 5,295
6: Total repayment $6,020.76 $7,575.51
Total lifetime cost = $ 13,596.27 ($6,020.76 + $7,575.51)
What is the future value of the loan?
The future value of the loan is determined based on no subsidy and interest rate compounded for two years for the Junior Loan.
Junior loan Amount after two years = $4,539.76
Loan Term = 10 years
Interest Rate = 5.9%
Compound Monthly (APR) Pay Back Every Month
Therefore, Payment Every Month $50.17
Total of 120 Payments $6,020.76
Total Interest $1,481.00
Loan Amount = $5,295
Loan Term = 10 years
Interest Rate = 7.6%
Compound Monthly (APR)
Pay Back Every Month
Therefore, a Payment Every Month of $63.13
Total of 120 Payments $7,575.51
Total Interest $2,280.51
Thus, Hal's total lifetime cost will be d. $13,615.20.
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A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 23. 4 miles per gallon (mpg). A random sample of 41 cars are selected and the air filter of each is replaced with a new one. Let mu be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if mu space greater than space 23. 4 mpg. A test is made of H subscript 0 colon space mu space equals space 23. 4 space space space v e r s u s space space space H subscript 1 colon space mu space greater than space 23. 4. Assume that the air filter changes are effective but the conclusion is reached that the changes might not be effective. Which type of error, of any, has occurred
Answers
From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error
What is type I error ?Data:
Mean fuel efficiency = 23.4 mpgsamples = 41This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.
What is type II error ?This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error
Given that the air filter changes are not effective i.e. ȝ = 24.7.
It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.
The answer to this question is type II error
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Andrea is an accountant who lives in the state of texas. which tax is she not responsible to pay? a. gasoline tax at the state level b. income tax at the national level c. inheritance tax at the state level d. payroll tax at the national level
Answers
The tax is Andrea not responsible to pay Payroll tax at the national level.
We have Andrea is an accountant who lives in the state of texas.
To determine the tax is she not responsible to pay
What is the Payroll tax?
The Payroll tax would include the deduction that was made to be allocated into her pension, medicare, or some form of investment.
Payroll tax is regulated under states law along with the policy from the company where she works.
So she's exempt from payroll at the national level.
Therefore option D is correct.
Thus the tax is Andrea not responsible to pay Payroll tax at the national level.
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Answer:
C. inheritance tax at the state level
Step-by-step explanation:
PLATO answer
what would (200,000,450,300,127)^0 pls help
Answers
Answer:
1
Step-by-step explanation:
write the slope intercept form of the equation of each line through the given points (4,-2) and (-5,3)
Answers
Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?
Answers
Answer:
x² + y² = 34
Formula:
(x - h)² + (y - k)² = r² where (h, k) is the centerHere find the radius using distance formula: → origin : (0, 0)
√(x2-x1)²+(y2-y1)²√(3-0)²+(5-0)²√9+25√34Thus the equation of circle:
(x - 0)² + (y - 0)² = (√34)²(x - 0)² + (y - 0)² = 34x² + y² = 34Answer:
H. [tex]x^2+y^2=34[/tex]
Step-by-step explanation:
Equation of a circle (in standard form)
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center and r is the radius of the circle)
Given center = (0, 0):
[tex]\implies (x-0)^2+(y-0)^2=r^2[/tex]
[tex]\implies x^2+y^2=r^2[/tex]
As the circle passes through point (3, 5):
[tex]\implies 3^2+5^2=r^2[/tex]
[tex]\implies r^2=34[/tex]
Final equation
[tex]x^2+y^2=34[/tex]
x = -4y + 36
x = 4y -28
This is using the substitution method. **PLEASE HELP! I’M SO LOST I DON’T UNDERSTAND THIS AT ALL.**
Answers
Answer:
Hope the picture will help you..
Which of the following is not a reason for america to keep its current system of measurement? a. it would be too expensive and time consuming to switch everything over to metric. b. since the american system is decimal based, it is easy to convert between different units of measure. c. the american system works most easily with fractions which, some argue, are preferable on a day-to-day basis. d. the units and terms involved with the american system are smaller and easier to use than those in the metric system.
Answers
C. American system works most easily with fractions which, some argue, are preferable on a day to day basis
The units and terms involved with the American system are smaller and easier to use than those in the metric system.
What is the metric system of measurement?The metric system is a system of measurement used in most countries around the world.
It is based on units of 10 and is also known as the International System of Units (SI).
The basic units of the metric system include the meter (for length), the gram (for mass), and the liter (for volume).
We have,
The statement "the units and terms involved with the American system are smaller and easier to use than those in the metric system" is not a valid reason to keep the current system of measurement in the United States.
In fact, the metric system is considered to be simpler and more logical than the U.S. customary system of measurement.
The metric system is based on multiples of 10, which makes conversions between units much easier than the U.S. customary system, which is based on arbitrary values that are not easily converted between each other.
Additionally, the metric system is used universally around the world, which makes it easier for people to communicate and do business across international borders.
Finally, many industries, such as science, engineering, and medicine, have already adopted the metric system, making it more practical to switch over to metric completely.
Thus,
The units and terms involved with the American system are smaller and easier to use than those in the metric system.
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The expression 4w + 7 + 3p + 8x contains how many terms?
Answers
Answer:
4 terms
Step-by-step explanation:
Terms being 4w, 7, 3p, 8x.
need some help with the question in the image
Cheers
Answers
[tex]a) \: \: 1000 \times \frac{1}{100} = 10 \\ [/tex]
[tex]b) \: \: 44 \times \frac{25}{100} = 11 \\ [/tex]
[tex]c) \: \: 50 \times \frac{30}{100} = 15 \\ [/tex]
Have a great day ♡♡♡♡♡Use the function f(x) = x2 − 6x 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 3 6 12 18
Answers
A function assigns values. The difference between the maximum value of g(x) and the minimum value of f(x) is 18.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since the maximum of the parabola function g(x) will lie at its vertex, therefore, the maximum will be at (3,12). Now, if we try to find the minimum of the function f(x). We need to plot the function on the graph as shown below.
As the minimum of the function f(x) will lie at the vertex of the parabola function, therefore the minimum of the function f(x) will lie at (3,-6).
If we try to find the difference between the maximum value of g(x) and the minimum value of f(x), then we will get,
[tex]\rm Difference=12-(-6)=18[/tex]
Thus, the difference between the maximum value of g(x) and the minimum value of f(x) is 18.
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guy above is right, 18 is the correct answer
A recipe that serves 6 calls for 3/4 cup of sour cream. How much sour cream is needed to serve 8?
Answers
Answer:
1 cup
Step-by-step explanation:
8/6 times 3/4 = 1 cup -crispin
To serve 8 calls, 1 cup of sour cream is required.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that,
6 serve = 3/4 cup of sour cream
1 serve = (3/4×6) cup of sour cream
8 serve = (3/4×6)×8 cup of sour cream
8 serve = 1 cup of sour cream
Hence, to serve 8 calls, 1 cup of sour cream is required.
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Anyways... _________ is a quadrilateral with opposite sides, they are congruent, and all the angles equals 90 degrees.
a. Pentagon
b. Rectangle
C. Trapezoid
(the web lied to me, it said it was c!? but it wasnt)
Answers
What life cycle adaptation allows a seahorse to make lots of babies in a short amount of time? (2 points)
a seahorse
Group of answer choices
The female hatches the eggs in the sand while the male gets rid of predators.
The female hatches the eggs in the sand while the male protects them.
The male carries the babies while the female makes more eggs.
The male makes more eggs while the female carries the babies
Answers
Answer:
its c or 3
Step-by-step explanation:
yep
Answer:
C
Step-by-step explanation:
graph the inequality on the axis below x+6y<6
Answers
Answer:
Step-by-step explanation:
A video posted on the internet has gone viral, and the total number of views is increasing by 25% every hour. If the video currently has 155, 000views how many views will it have in 6 hours?
Answers
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &155000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=hours\dotfill &6\\ \end{cases} \\\\\\ A=155000(1 + 0.25)^{6}\implies A=155000(1.25)^6\implies A\approx 591278[/tex]
For a typical human height of 2 meter what is the horizon distance on earth (r=6378 (b mars R=3,340
Answers
The horizon distance on earth for a typical human height of 2 meters is 5051 meters
How to determine the horizon distance?The given parameters are:
Human height, h = 2 metersRadius of earth, R = 6378 * 1000 metersThe horizon distance (OG) is calculated using:
[tex]OG = \sqrt{2 R h}[/tex]
This gives
[tex]OG = \sqrt{2 *6378 * 1000 * 2}[/tex]
Evaluate the square root
OG = 5051
Hence, the horizon distance on earth is 5051 meters
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The ratio of passenger cars to cargo cars in
the rail yard is 18:4. If there are 8 cargo
cars, how many cars are there altogether?
Answers
44 cars
hope it helps....!!!
Solve for X please help
Answers
Answer:
x=−5.675726
Step-by-step explanation:
In right triangle QRS M < S = 73 degrees. In right triangle TUV, m < V = 73 degrees. Which similarity postulate or theorem proves that QRS and TUV are similar?
Answers
Answer: C
Step-by-step explanation:
You have two pairs of congruent angles - angles S and V, and the right angles.
Answer:
The answer is C
Step-by-step explanation
Angle S and V are both congruent angles and they both have the same angle measurement.
What is the data value (runs) that had the greatest frequency? NO LINKS!!!
Answers
Answer:
i cant see it
Step-by-step explanation:
A rectangle measures 4
3
4
inches by
1
3
inches. What is its area?
Answers
Answer:
1 7/12 in^2.
Step-by-step explanation:
Area = length*width
4 3/4 * 1/3
= 19/4 * 1/3
= 19/12
= 1 7/12 in^2.
A store is having a sale.Each item is on sale for half off the regular price,m
Which pair of equivalent expressions represents
Answers
Answer:
I'm just awarding a random person and you have won a thousand dollars
simplify....
please solve it.
Answers
(m/(n(m-n))) + (n/(m(n-m)))
Take mn(m-n)(n-m) as a common denominator
(m(m(n-m)) + n(n(m-n))) / (mn(m-n) (n-m))
= (m(mn-m^2) + n(nm-n^2)) / ((m^2n-mn^2)(n-m))
= (m^2n-m^3+n^2m-n^3) / (m^2n^2-m^3n-mn^3+m^2n^2)
= (m^2n-m^3+n^2m-n^3) / (2m^2n^2-m^3n-mn^3)
This is the final answer
Hope this helps :)
simplify 15/root75 +root 108+root 432
Answers
Answer:
32.91
Step-by-step explanation:
[tex] \hookrightarrow \sf \frac{15}{ \sqrt{75} } + \sqrt{108 } + \sqrt{432} [/tex]
[tex] \hookrightarrow \sf \: 19 \sqrt{3} \approx \: 32.908965[/tex]
Answer:
32.90235
Step-by-step explanation:
[tex]\frac{15}{\sqrt{75} }[/tex] + [tex]\sqrt{108}[/tex] + [tex]\sqrt{432}[/tex]
= 1.73205 + 10.3923 + 20.784
= 32.90235