given the following histogram for a set of data, how many values in the data set are greater than 10.5 but less than 12.5?
Answers
The number of values greater than 10.5 and less than 12.5 is 5. By adding the frequencies between these quantities, we could get the number.
A histogram is a graph representing frequency distribution of data points in a dataset. In one axis the data points are given, and the other axis is the frequency. It can be used in both discrete and continuous dataset. In discrete data, there will be individual data points and for continuous it will be a range.
Here the given dataset is a continuous dataset. The frequency of datapoints between 10.5 and 11.5 is 2 and frequency between 11.5 and 12.5 is 3. So the total will be 2+3 = 5.
So the frequency or values between 10.5 and 12.5 is 5
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Related Questions
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 7 heads?
Answers
The probability of getting exactly 7 heads when a fair coin is tossed 9 times is 0.164 to the nearest thousandth.
What is the given probability?To calculate the probability of getting exactly 7 heads when a fair coin is tossed 9 times, we can use the binomial probability formula below:
P(X = k) = [tex]^nC_k * p^k * (1 - p)^{n - k}[/tex]
where;
p is the probability of success on a single trial = 0.5
n is the number of trials = 9
k is the number of desired successes = 7
Substituting:
P(X = 7) = ⁹C⁷ * (0.5)⁷ * (1 - 0.5)²
P(X = 7) ≈ 0.164
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License plates in a particular state display 4 letters followed by 2 numbers.
How many different license plates can be
manufactured for this state?
(Simplify your answer. Type an integer or a fraction.)
Answers
There are 45697600 number of different license plates can be manufactured for this state.
What is Combination?The combination is a mathematical technique that is the number of ways to arrange the n number of collections where the order of selection does not matter.
ⁿCₐ= n!/(n-a)!a!
Here given in the question is,
On the license plate, there are 4 letters and 2 numbers.
Since, There are 26 alphabets in English from A to Z for which at position 1, there are 26 possibilities of alphabets at every position by,
²⁶C₁ = 26!/(26-1)!1!
= 26!/25!1!
= 26!/25!
= 26
So, for 4 different positions of letters,
Then, The number of ways is,
⇒ 26×26×26×26 = 26⁴= 456976
And, There are 10 numbers in math for which at position 1, there are 10 possibilities of numbers at every position by,
¹⁰C₁ = 10!/(10-1)!1!
= 10!/9!1!
= 10!/9!
= 10
So, for 2 different positions of numbers, the number of ways is,
= 10×10 = 10²= 100
Thus, The total number of ways the license can be manufactured = 456976 × 100= 45697600
Therefore, 45697600 different license plates can be manufactured for this state.
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16=k/11
if you can please use this technic
I know its not many points but I need this,
thank you
Answers
Answer:
k = 176
Step-by-step explanation:
16 = k/11
16 * 11 = k/11 * 11
176 = k
Because k is being divided by 11 on the right-hand side of the equation, we would need to multiply both sides by 11 to undo the division operation done to k so we can isolate it.
Which function describes this graph?
-61
-5
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
O A. y = (x+5)(x-3)
OB. y-(x-2)(x - 5)
OC. y = x² +5x+12
OD. y=x+7x+10
5
Answers
Answer:
D. y = x² +7x +10
Step-by-step explanation:
You want the function that describes a graph showing a quadratic with roots of -5 and -2.
EquationThe factored form of the equation can be written from the x-intercepts (roots) by considering that a root of p means (x -p) is a factor. The factored equation is ...
y = (x -(-5))(x -(-2)) = (x +5)(x +2) . . . . . doesn't match A or B
When this is multiplied out, it becomes ...
y = x² +5x +2x +10 = x² +7x +10 . . . . . . matches choice D
The equation is y = x² +7x +10.
The Colorado Division of Wildlife netted and released 774 fish at Quincy Reservoir. There were 219 perch, 315 blue gill, 83 pike, and 157 rainbow trout. This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured. This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.
Answers
Given the set of data used, This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.
What is an Observational Study?An observational study draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or practical limitations.
With this in mind, the set of data presented is conducted in a way that doesn't change the response or the variable being measured.
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You purchase 170 shares for $70 a share ($11,900), and after a year the price rises to $80. Calculate the percentage return on your investment if you bought the stock on margin and the margin requirement was (ignore commissions, dividends, and interest expense):
15 percent. Round your answer to one decimal place.
45 percent. Round your answer to one decimal place.
80 percent. Round your answer to one decimal place.
Answers
Answer:
see below
Step-by-step explanation:
170*70=11900
after one year 170*80 = 13600
gain on paper = 13600-11900 = 1700
80/70 = 1.14 so 14% if you had paid out of pocket
but then you bought on margin meaning you only used
15% of your money = 11900* 15% = 1785
but your gain was 1700, so your return = 1700/1785 = 95%
45% of your money = 11900* 45% = 5355
but your gain was 1700, so your return = 1700/5355 = 32%
85% of your money = 11900* 85% = 10115
but your gain was 1700, so your return = 1700/10115 = 17%
What is an inequality in math?
Answers
Answer:
An inequality in mathematics is a statement that compares two values, with the use of inequality symbols like < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to). For example, the inequality "5 > 2" states that 5 is greater than 2. Inequalities can be used to represent real-world situations, such as expressing constraints or limitations.
Step-by-step explanation:
Find the area of the irregular figure. Use 3.14 for π. Show your work. Round to the nearest tenth.
Answers
Answer:
The area of the irregular figure is 8.1 ft² (rounded to the nearest tenth).
Step-by-step explanation:
The irregular figure is made up of:
A triangle with height 3.6 ft and base 2.8 ft.A semicircle with diameter 2.8 ft.Area of the triangle[tex]\boxed{\begin{aligned}\sf Area\;of\;triangle&=\sf \dfrac{1}{2} \times base \times height\\\\&=\sf \dfrac{1}{2} \times 2.8 \times 3.6\\\\&=\sf 1.4 \times 3.6\\\\&=\sf 5.04 \; ft^2\end{aligned}}[/tex]
Area of the semicircle[tex]\boxed{\begin{aligned}\sf Area \; of\;semicircle&= \sf \dfrac{1}{2} \pi r^2\\\\&= \sf \dfrac{1}{2}\times 3.14 \times (1.4)^2\\\\&= \sf \dfrac{1}{2}\times 3.14 \times1.96\\\\&= \sf 1.57 \times1.96\\\\&= \sf 3.0772\; ft^2\end{aligned}}[/tex]
Area of the irregular figure[tex]\boxed{\begin{aligned}\sf Area \;of\;irregular\;figure&=\sf Area\;of\;triangle+ Area\;of\;semicircle\\\\&=\sf 5.04+3.0772\\\\&=\sf 8.1172\\\\&=\sf 8.1\; ft^2\;(nearest\;tenth)\end{aligned}}[/tex]
Therefore, the area of the irregular figure is 8.1 ft² rounded to the nearest tenth.
Zachary purchased a computer for $1,400 on a payment plan. Four months after he purchased the computer, his balance was $780. Eight months after he purchased the computer, his balance was $160. What is an equation that models the balance y after × months?
The equation ________ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Answers
Answer:
y = -140x + 1400
Step-by-step explanation:
First, we'll find the slope, m, using the formula:
m = (160 - 780) / (8 - 4) = -620 / 4 = -155
Next, we'll use one of the points and the slope to find the y-intercept, b:
b = y - mx
We'll use the point (4, 780) to find b:
b = 780 - (4 * -155) = 1400
So the equation that models the balance, y, after x months is:
y = -155x + 1400
And since -155 can be simplified to -140, the equation becomes:
y = -140x + 1400
A bag contains two red marbles, four green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Answers
There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.
To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:
Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.
There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.
This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.
Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,
So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.
As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.
This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.
Number of sets of five marbles that include both the lavender one and exactly one yellow one:
We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.
We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.
To find the number of sets that include both, we can choose any one yellow marble and the lavender one.
There are 2 choices for the yellow marble and 1 choice for the lavender one,
So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.
Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:
Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.
The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,
So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.
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If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
Answers
Answer:
where represents the time two hours later than the current time. represents the time one hour later than current time. Henceforth, the time at present is 9 pm.
Step-by-step explanation:
) The ratio of boys to girls on a softball team was 5:3. For every 35 girls how many ratio of boys will be there?
Answers
A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is 5: 3, (girls: boys) we can use this equation to figure out how many boys there are if there are 35 girls:
35 × 0.6 = 21Why do we multiply by 0.6?We can see that in the ratio 5: 3, 5 is being multiplied by 0.6 to get three. If the relationship between the numbers 5 and 35 stays proportional, we multiply 35 by 0.6.
Therefore, the ratio of girls to boys is 35: 21, meaning there are 21 boys.
pleaseee i really need help with this
here is the picture
Answers
You are thinking of combining Designer Whey and Muscle Milk to obtain a 7-day supply that provides exactly 412 grams of protein and 108 grams of carbohydrates. How many servings of each supplement should you combine in order to meet your requirements?
Answers
Answer: Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk.
We know that:
x + y = 7 (because you want 7 days of supply)
And the protein content per serving of Designer Whey is 18g and the protein content per serving of Muscle Milk is 20g. So:
18x + 20y = 412 (because you want 412g of protein)
And the carbohydrate content per serving of Designer Whey is 4g and the carbohydrate content per serving of Muscle Milk is 8g. So:
4x + 8y = 108 (because you want 108g of carbohydrates)
We can now use the above two equations to solve for x and y. We'll start by solving for x in terms of y:
18x + 20y = 412
18x = 412 - 20y
x = (412 - 20y)/18
Now we can substitute this expression for x into the equation for the carbohydrates:
4x + 8y = 108
4((412 - 20y)/18) + 8y = 108
1664 - 80y + 8y = 1080
1664 = 1080 + 80y
584 = 80y
y = 7.3
Since y must be an integer, we'll round it down to 7. So y = 7. We can now use either equation to find x:
18x + 20y = 412
18x + 20 * 7 = 412
18x = 412 - 140
18x = 272
x = 15.1
Since x must be an integer, we'll round it up to 15. So x = 15.
Therefore, you should combine 15 servings of Designer Whey and 7 servings of Muscle Milk in order to meet your requirements.
Step-by-step explanation:
2. d(1, 5), o(4, 6), g(3, 3) are midpoints of the sides of triangle cat. find the coordinates of points c, a and t
Answers
The coordinates can be determined by using mid point formula. Here the coordinates vertex C is (2,8), vertex A is (0,2) and vertex T is (6,4)
Here the midpoints are (1,5) , (4,6), (3,3).
By using mid point equation, x₁+x₂/2 = 1
So x₁+x₂ = 2 --------------------> eq 1
x₂+x₃/2 = 3
x₂+x₃ = 6 -----------------------> eq 2
x₁+x₃/2 = 4
x₁+x₃ = 8 -----------------------> eq 3
Adding equations 1,2,3
2( x₁+x₂+x₃) = 16
x₁+x₂+x₃ = 8 ---------------> 4
Determining x-coordinates
Subtracting equation 1 from 4
x₁+x₂+x₃ -(x₁+x₂) = 8-2
x₃ = 6
Similarly subtracting equation 2 from 4
x₁+x₂+x₃ -(x₂-x₃) = 8-6
x₁ = 2
Subtracting 3 from 4
x₁+x₂+x₃ -(x₁+x₃) = 8-8
x₂ = 0
Determining y coordinates
y₁+y₂/2 = 5
y₁+y₂ = 10 ----------------> 5
y₁+y₃/2 = 6
y₁+y₃ = 12 ----------------> 6
y₂+y₃/2 = 3
y₂+y₃ =6 --------------> 7
Adding equations 5,6 and 7
2(y₁+y₂+y₃) = 28
y₁+y₂+y₃ = 14 -----------------> 8
Subtracting equations 5,6 and 7 from 8
y₁+y₂+y₃ -(y₁+y₂) =14 - 10
y₃ = 4
y₁+y₂+y₃ -( y₂+y₃) = 14- 6
y₁ = 8
y₁+y₂+y₃-(y₁+y₃) = 14- 12 = 2
So the coordinates are (x₁ , y₁) =(2,8)
(x₂, y₂) = (0, 2)
(x₃, y₃) = (6,4)
So the coordinates of C,A and T are (2,8) , (0,2) and (6,4) respectively.
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If there are 30 king sized candy bars in a box and the box sells for $70.50 , how much does each candy bar in the box cost? Please help this paper is due tmr and I get my progress report tmr!!!
Answers
The cost of one candy bar is $2.35.
What is a unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service.
Given that, there are 30 king-sized candy bars in a box and the box sells for $70.50, we need to find that how much does each candy bar in the box cost,
Since, the cost of all 30 candies is given collectively, i.e. $70.50,
We will divide the cost of the whole box by the number of candies to find the unit price of the candies,
Unit price = $70.50 / 30
= $2.35
Hence, the cost of one candy bar is $2.35.
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Let M be the event that a randomly selected IRSC student is male and P(M) = 0.45.
Round solutions to three decimal places, if necessary.
What is the probability that a randomly selected IRSC student is female?
Answers
Answer:
As P(M) = 0.45
P(F) = 1-0.45 = 0.55
P(Both students are male) = 0.45 x 0.45 = 0.2025 = 0.203 (cor to 3 dp)
P(Both students are female) = (1-0.45) x (1-0.45) = 0.55 x 0.55 = 0.3025 = 0.303 (cor to 3 dp)
P(First student male and second female) = 0.45 x 0.55 = 0.2475 = 0.248 (cor to 3 dp)
hope this helps!!!
The final price of the textbook for an English literature course is 7% more than the listed price when tax and shipping costs are included. If the listed price is $100, what is the final price of the textbook?
(Round to the nearest dollar.)
Answers
"Look at the Example. Suppose the club increases the selling price of a frame to
$13. Write an expression with exactly two terms for the amount of money the club
will make for selling fframes. Show your work
Answers
The expression with exactly two terms for the amount of money the club
will make for selling 'f' frames is 7f- 36.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Given:
Price of frame= $13
Material cost = $6
Renting both cost = $36
For selling 'f' frames the amount of money the club make
= (13f - 6f) - 36
= (13-6)f- 36
= 7f- 36
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Find the difference in value between five in 14532 and five in 12754.
Answers
Difference in place value is times 10
Step by step
Five in 14532 is in the hundreds place, or 500
Five in 12754 is in the tens place, or 50
The difference of face value is found by subtracting
500 - 50 = 450 difference in face value
The difference in place value is multiples of 10, as that is the difference between tens place and hundreds place
Which multiplication equation best represents the figure?
Answers
The multiplication equation best represents the figure will be 6 x 0.32 = 1.92. Then the correct option is B.
What is Algebra?Algebra is the examination of ideational signs while reasoning the manipulation of all those thoughts.
The big square block represents the 1 unit. And each small block represents 0.01 units.
The number of small blocks which are marked by the color in one shot is 32 which means 0.32 units.
And these processes are done six times, then the expression that represents the condition is given as,
6 x 0.32 = 1.92
The multiplication equation best represents the figure will be 6 x 0.32 = 1.92. Then the correct option is B.
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what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answers
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
How many meters are in 30 yards? Conversion factor 1m =1.09 yards round to the nearest tenth
Answers
Answer:
27.52
Step-by-step explanation:
1m =1.09 yards
30/1.09 = 27.52
Arianna models a can of ground coffee as a right cylinder. She measures its
circumference as 4 1/4 in and its volume as 9 cubic inches. Find the height of the can in
inches. Round your answer to the nearest tenth if necessary.
Answers
The height of the right cylinder is 0.011 inches approximately.
Volume Definition:
Every three-dimensional object occupies some space. It is being determined how big this area is. Volume is the term used to describe the area contained within an object's three-dimensional boundaries. It is referred to as the object's capability on sometimes.
‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Now in the given question,
Circumference,
[tex]2\pi r[/tex] = [tex]\frac{41}{4}[/tex]
[tex]r=\frac{41}{8\pi }[/tex]
V = 9 cubic inches
volume of cylinder = πr²h = 3.14×[tex]\frac{41}{8\pi }^2[/tex]×h
h = (9)÷(3.14×[tex]\frac{41}{8\pi }^2[/tex]) = 0.011 inches
therefore the height of the cylinder is 0.011 inches approximately.
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A serving is 1/2 of a cookie how many servings can be made from 3/8 cookies PLEASE
Answers
Answer:
3/4 servings
Step-by-step explanation:
Each serving = 1/2
There are 3/8 cookies.
How many times 1/2 "fits" into 3/8 = how many servings.
3/8 / 1/2
= 3/8 * 2
= 3/4 servings
Step by step
3/8 cookie is smaller or less than 1/2 cookie
To prove this, we need to change 1/2 cookie to same denominator of the 3/8 cookie
1/2 = multiply top and bottom by 4
1/2 = 4/8
4/8 is a serving, you only have 3/8 of a cookie which is smaller so you have 0 servings
Cand I get the answer to “Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x + 1/3 = 1/2x +5”
Answers
Answer:
12
Step-by-step explanation:
6 - 3/4x + 1/3 = 1/2x + 5
6 - 9/12x + 4/12 = 6/12x + 5 If I multiply all the way through by 12 I will eliminate the fraction
72 - 9x + 4 = 6x+ 60
Solve for x. 6/-4.5=8/4x
Answers
Answer: x = -3/2 , x = -1 1/2 , x = -1.5
Step-by-step explanation:
6/-4.5 = 8/4x
first determine the defined range --> x ≠ 0
cancel out the common factor 4 --> 6/-4.5 = 2/x
the convert the decimal into a fraction --> 6/-9/2 = 2/x
now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x
then simplify the complex fraction --> -4/3 = 2/x
simplify the equation using cross-multiplication --> -4x=6
divide both side of the equation by -4 --> x = -3/2 , x ≠ 0
lastly, check if the solution is in the defined range --> x = -3/2
solution : x = -3/2
Alternative form: x = -1 1/2 , x = -1.5 (simplified)
into 12 squares. Place on a greased tray and bake at paration time: 30 minutes Determine: Cooking time: 15 minutes a) the total time (in hours) to prepare and cook the scones. b) the number of me all-purpose flour needed to bake 36 scones. c) The thickness of the dough in centimetres. Mrs Msimango baked 48 scones, determine the following ingredient required: number of teaspoons of salt. ml of butter. If Mrs Msimango started making the scones at 14:55, at what time will it be ready for eating? a) b) Express the baking temperature of 356 °F in °C Use the formula: °C (°F-32°) ÷ 1,8 ΤΟΥ
Answers
a) The total time taken in hours is 0.75 hours
b) The amount of all-purpose flour needed is not given in the question.
c) The thickness of the dough in centimetres is not given.
d) The amount of salt needed per scone is not given.
e) The amount of butter needed per scone is not given.
f) It will be ready for consumption by 15:30
g) 356°F in °C can be calculated using the formula:
°C = (356°F - 32°) / 1.8 = 180°C.
Step by step explanationa) Total preparation and cooking time = 30 minutes + 15 minutes = 45 minutes = 0.75 hours
b) To bake 36 scones, we need:
36 scones * all-purpose flour needed to bake 1 scone = all-purpose flour needed to bake 36 scones
The amount of all-purpose flour needed is not given.
c) The thickness of the dough in centimetres is not given.
d) Mrs. Msimango baked 48 scones, so the number of teaspoons of salt required would be:
48 scones * teaspoons of salt needed per scone = teaspoons of salt needed for 48 scones
The amount of salt needed per scone is not given.
e) Mrs. Msimango baked 48 scones, so the number of millilitres of butter required would be:
48 scones * ml of butter needed per scone = ml of butter needed for 48 scones
The amount of butter needed per scone is not given.
f) If Mrs. Msimango started making the scones at 14:55, they would be ready to eat at 14:55 + 0.75 hours = 15:30.
g) 356°F in °C can be calculated using the formula:
°C = (356°F - 32°) / 1.8 = 180°C
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The cost of food sold in a bistro is $67,000 for the quarter. If food sales during that quarter are $187,000, what is the bistro’s food cost percent?
Answers
Bistro’s food cost percent is 35.83%
What is Food cost percent?
Food cost percentage is calculated by taking the cost of goods sold and dividing that by the revenue or sales generated from that finished dish.
Food cost percent is calculated using the following formula:
Total Food Cost Percentage = (Total Cost of Goods Sold / Total Revenue) x 100
From the parameters in the question,
Total Food Cost Percentage = 67,000/187,000 x 100
Total Food Cost Percentage = 6,700,000/187000
Total Food Cost Percentage = 35.73%
Hence, the Bistro’s food cost percent is 35.83%
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PLEASE HELP ME!
Anna is considering writing and publishing her own book She estimates her revenue equation as R = 6.56x and her cost equation as C = 10.063 + 1.09x where x is the number of books she sells. Find the minimum number of books she must sell to make a profit
Anna must sell atleast ? books to make a profit.
Answers
Step-by-step explanation:
In order to make a profit R > C
So let's make those equal first
R = C
[tex]6.56x = 10.063 + 1.09x[/tex]
Let's get X alone by subtracting 1.09x from both sides.
[tex]5.47x = 10.063[/tex]
Next we divide by 5.47
[tex]x = 1.83[/tex]
Rounding up to 2, looks like Anna needs to only sell 2 books to start making a profit