Hope this helps!! The answer and explanation are as shown above:))
Explaining How to Balance a Check Register
Bob withdrew money from an ATM, put the receipt in an envelope, and filled in the information in his check register.
Explain why it is important for Bob to keep the receipt and record the information in his check register.
Keeping a detailed recοrd οf transactiοns and balancing the check register is an impοrtant financial habit that can help individuals manage their finances effectively and avοid cοstly mistakes.
Hοw Tο Balance a Checkbοοk Using a Check Register?When yοu οpen a new checking accοunt, yοur bank may prοvide yοu with paper checks as well as a checkbοοk register. This register is where yοu can recοrd the variοus credit and debit transactiοns fοr yοur accοunt.
It is impοrtant fοr Bοb tο keep the receipt and recοrd the infοrmatiοn in his check register tο ensure that he maintains an accurate recοrd οf his transactiοns and balances his checking accοunt cοrrectly.
By keeping the receipt, Bοb has a physical recοrd οf the transactiοn that he can refer back tο if there are any discrepancies οr errοrs. It alsο helps him tο track his spending and ensure that he is nοt οverspending οr gοing οver his budget.
Recοrding the infοrmatiοn in his check register allοws Bοb tο keep track οf his accοunt balance and recοncile his accοunt regularly. This helps him tο identify any errοrs οr unauthοrized transactiοns and take actiοn tο rectify them.
In additiοn, having an accurate recοrd οf his transactiοns and accοunt balance can help Bοb avοid οverdraft fees and οther penalties that may be incurred if he spends mοre than what he has in his accοunt.
Overall, keeping a detailed recοrd οf transactiοns and balancing the check register is an impοrtant financial habit that can help individuals manage their finances effectively and avοid cοstly mistakes.
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Answer:
It is important for bob to keep the receipt and record in the register so he can monitor how much money he has in the account.
This type of efforts is very important for people who are serious in controlling their budget. Keeping the receipt would help bob prevent himself from taking more money that his budget. It also help bob in identifying the difference during bank reconciliation.
Step-by-step explanation:
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
A box contains 2 plains and 6 pens a second box containe 9 color pencils and 1 crayon what Is the probability that a plain pencil from the first voz AND a color pencil from the second bix selected
the probability of selecting a plain pencil from the first box and a color pencil from the second box is: 9/40
To find the probability of selecting a plain pencil from the first box and a color pencil from the second box, we need to first find the total number of possible outcomes and then the number of favorable outcomes.
The total number of possible outcomes is the product of the number of items in each box, which is:
total outcomes = (2 + 6) x (9 + 1) = 8 x 10 = 80
This means that there are 80 different pairs of items we could select, one from each box.
The number of favorable outcomes is the number of pairs that consist of one plain pencil from the first box and one color pencil from the second box. Since there are 2 plain pencils in the first box and 9 color pencils in the second box, the number of such pairs is:
favorable outcomes = 2 x 9 = 18
probability = favorable outcomes / total outcomes = 18 / 80 = 9 / 40
So the probability is 9/40.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
What is the domain of y = cos X?
A. #na
B. -1
O c. x + 3 + na
D. All real numbers
Answer:
D. All real #s
Step-by-step explanation:
look up a graph for y = cos x
domain is all real numbers
7 plus the quantity of 8 minus 6
what is the inverse of g?
g(x) = 3/x+7
Given function :-
\(\bf \implies g(x) = \dfrac{3}{x}+7\)
To find its reverse , substitute y = g(x) .\(\bf \implies y = \dfrac{3}{x}+7\)
Interchange x and y .\(\bf \implies x = \dfrac{3}{y}+7\)
Solve for y .\(\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} \)
Replace y with f-¹(x) .\(\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}\)
Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 8x+y+z= 4.
Answer:
\(\displaystyle \int\limits^{\frac{1}{2}}_0 \int\limits^{4 - 8x}_0 \int\limits^{4 - 8x - y}_0 {} \, dz \ dy \ dx = \frac{4}{3}\)
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]: \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
Integration Rule [Fundamental Theorem of Calculus 1]: \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)
Integration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Integration Property [Addition/Subtraction]: \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)
Multivariable Calculus
Integration
IntegralsFubini’s Theorem [Box]: \(\displaystyle \iiint_R{f(x, y, z)} \, dV = \int\limits^{b_1}_{a_1} \int\limits^{b_2}_{a_2} \int\limits^{b_3}_{a_3} {f(x, y, z)} \, dx \, dy \, dz\)
Volume Formula: \(\displaystyle V = \iiint_D \, dV\)
Step-by-step explanation:
Step 1: Define
Identify.
Given: Tetrahedron Solid
Function: 8x + y + z = 4 and coordinate planes x, y, and z
Step 2: Find Volume Pt. 1
Find limits of integration for each variable.
[z] Solve for z: \(\displaystyle z = 4 - 8x - y\)[y] Set z = 0 [z coordinate plane]: \(\displaystyle 0 = 4 - 8x - y\)[y] Solve for y: \(\displaystyle y = 4 - 8x\)[x] Set y = 0 [y coordinate plane]: \(\displaystyle 0 = 4 - 8x\)[x] Solve for x: \(\displaystyle x = \frac{1}{2}\)Define: \(\displaystyle \left[\begin{array}{ccc} 0 \leq z \leq 4 - 8x - y \\ 0 \leq y \leq 4 - 8x \\ 0 \leq x \leq \frac{1}{2} \end{array}\)Step 3: Find Volume Pt. 2
Substitute in variables [Volume Formula]: \(\displaystyle V = \int\limits^{\frac{1}{2}}_0 \int\limits^{4 - 8x}_0 \int\limits^{4 - 8x - y}_0 {} \, dz \ dy \ dx\)[z Integral] Integrate [Integration Rules and Properties]: \(\displaystyle V = \int\limits^{\frac{1}{2}}_0 \int\limits^{4 - 8x}_0 {z \bigg| \limits^{4 - 8x - y}_0} \ dy \ dx\)Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: \(\displaystyle V = \int\limits^{\frac{1}{2}}_0 \int\limits^{4 - 8x}_0 {4 - 8x - y} \ dy \ dx\)[y Integral] Integrate [Integration Rules and Properties]: \(\displaystyle V = \int\limits^{\frac{1}{2}}_0 {\Big( 4y - 8xy - \frac{y^2}{2} \Big) \bigg| \limits^{4 - 8x}_0} \ dx\)Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: \(\displaystyle V = \int\limits^{\frac{1}{2}}_0 {\Bigg[ 4(4 - 8x) - 8x(4 - 8x) - \frac{(4 - 8x)^2}{2} \Bigg]} \ dx\)[Integrand] Simplify: \(\displaystyle V = \int\limits^{\frac{1}{2}}_0 {8(2x - 1)^2} \ dx\)Integrate [Integration Rules and Properties]: \(\displaystyle V = \frac{4(2x - 1)^3}{3} \bigg| \limits^{\frac{1}{2}}_0\)Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: \(\displaystyle V = \frac{4}{3}\)∴ the volume of the given tetrahedron solid is equal to 4/3.
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Topic: Multivariable Calculus
Unit: Triple Integrals
PLEASE HELP I WILL MARK YOU BRAINLIEST ASAP
Answer:
what i cant see
Step-by-step explanation:
The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotient? Grade 6
Option A is correct, There are \(6\frac{1}{4}\) two-thirds in \(4\frac{1}{6}\)
What is Fraction?A fraction represents a part of a whole.
A proper fraction has a numerator that is smaller than the denominator and a value less than 1
An improper fraction has a numerator greater than the denominator and a value greater than one.
A mixed fraction has a whole number combined with a proper fraction.
4+1/6=\(4\frac{1}{6}\) (The shaded part in step 1)
\(4\frac{1}{6}\) ÷ \(2\frac{1}{3}\)=\(6\frac{1}{4}\)
There are 6 1/4 two-thirds in 4 1/6.
Hence, Option A is correct, there are \(6\frac{1}{4}\) two-thirds in \(4\frac{1}{6}\)
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The complete question
The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotient?
A. There are 6 1/4 two-thirds in 4 1/6.
B. There are 6 1/4 five and one-sixths in 2/3.
C. There are 8 1/6 two-thirds in 5 1/6.
D. There are 8 1/6 five and one-sixths in 2/3.
On Monday, Luis picked up five scones and six large coffees for the office staff. He paid $23.91. On Tuesday, Rachel picked up two scones and seven large coffees for the office staff. She paid $17.89.
What is the cost of one scone?
What is the cost of one large coffee?
Answer:
Step-by-step explanation:
5s + 6c = 23.91
2s + 7c = 17.89
10s + 12c = 47.82
-10s - 35c = -89.45
-23c = -41.63
c = $1.81 for a large coffee
2s + 7(1.81) = 17.89
2s = 5.22
s = $2.61 for a scone
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
Dividing fractions word problems, please help I need it........
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above
Answer:
34
Step-by-step explanation:
40 questions times 0.85 equals 34
what is the area of this figure
Answer:
Hello! answer: 10
Step-by-step explanation:
Formula for area of squares: base × height
Formula for area of triangles: base × height ÷ 2
2 × 2 = 4
2 × 2 ÷ 2 = 2
4 × 2 ÷ 2 = 4
4 + 2 + 4 = 10 therefore the area is 10 hope that helps!
Dominic took a 20-question online quiz. He received 5 points for every correct answer. For every question he answered
incorrectly, he lost 2 points. The quiz also had a 20-point bonus for finishing in one hour or less. Since Dominic finished
the quiz in less than one hour, his score S is determined by x, the number of questions answered correctly.
Drag and drop expressions into the function to correctly define S(a).
The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20
How to determine the function that correctly defines S(x)We have the following definitions in the question
Correct answers = xTotal questions = 20Points for correct answers = 5Points for incorrect answers = -2Bonus for finishing in one hour or less = 20If the total questions is 20, then
Incorrect answers = 20 - x
So, the points gained/lost are
Gained = 5 * x = 5x
Lost = -2 * (20 - x) = -2(20 - x)
Bonus = 20
Add the above points to get the function S(x)
S(x) = 5x - 2(20 - x) + 20
Hence, the definition is S(x) = 5x - 2(20 - x) + 20
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Xavi wants to measure the impact of using water for irrigation on a stream's flow rate. The flow rates both
upstream and downstream of the irrigation point are normally distributed,
For each location, Xavi selects a random time each month and measures the flow rate in liters per second.
After he has 12 samples per location, he will look at the difference (upstream - downstream) in their
sample means
What do we know about the shape of the sampling distribution of WU - ip, and why?
Answer:
exactly normal
Triangle RST with (2,0), s(-2,-3), and t(-2,3) reflected over the y axis. Find the coordinates and vertices
I
Step-by-step explanation:
The coordinates and vertices
which reflected over the y- axis are
r(-2,0) , s(2,-3) , and t(2,3).
Jenny wants to burn a total of 700 calories. So far, she has burned 676.2 calories. How many more calories must Jenny burn ?
Jenny must burn 23.8 calories.
When do we go for subtraction?In order to determine what is left after subtracting one number from another, subtraction is a crucial tool we use. We can use subtraction to calculate how much money Lauren has left, for instance, if she has $23 and spends $12 on a new blouse.
Place values must match in order for something to work. The ones, tens, and other numbers should all be in the same column. Additionally, keep in mind to place the subtraction sign to the left of the numbers while writing subtraction problems. After the numbers are arranged properly, calculate the solution by deducting the bottom number from the top number in each column to arrive at the result of $11. Just $11 is left for Lauren.
Given: Amount of calories Jenny wants to burn = 700 calories
Amount of calories Jenny has burnt = 676.2
Thus required calories = total calories which must be burnt - calories burnt
= 700 - 676.2
= 23.8
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KM a diameter of ON
What is the measure of LKM?
C. 70°
A 35°
D. 110°
B. 55°
Answer:
b
Step-by-step explanation:
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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How many coupons can be generated
The number of coupon codes that can be generated is given as follows:
247,808 coupon codes.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.
This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The codes are composed as follows:
Two letters -> each with 22 options, as letters can be repeated.Three digits -> each with 8 options, as digits can also be repeated.Thus the total number of codes is obtained as follows:
N = 22² x 8³
N = 247,808 coupon codes.
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what is the smallest positive integer such that the value of f(x)_ -x^2 +5x exceeds the value of g(x)= -10x+10.
The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).
What in arithmetic is an integer?An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
To find the smallest positive integer x for which f(x) exceeds g(x)
we need to set the two functions equal to each other and solve for x:
f(x) = g(x)
-x² + 5x = -10x + 10
Simplifying the equation, we get:
x² + 15x - 10 = 0
Using the quadratic formula, we can solve for x:
x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))
x = (-15 ± sqrt(265)) / 2
The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.
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log2(1/128)=x, then x =
The value of x will be -7. The expression is solved using the identity.
What is the definition of a logarithm?Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
Given expression;
\(\rm log_2(\frac{1}{128}) = x\)
The expression is solved using the identity as;
\(\rm log_e1 = x\\\ e^x=1\)
Apply the identity;
\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)
Hence the value of x will bed -7.
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a diver jumps off a boat 3 meters above the water and descends to a depth of 18 meters below sea level how for is he from the top of the boat write an expression then solve
Answer:
21
Step-by-step explanation
They jumped 3 meters above the water, jumped down 18, 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18, thats 15 away, the distance is 15, if I am worng (probably am) try 20, if not, Im retarted and dont trust me with this.
9514 1404 393
Answer:
21 m
Step-by-step explanation:
The difference in height between +3 meters and -18 meters is ...
3 -(-18) = 3 +18 = 21 . . . . meters
2. Kasie lives in Seattle. She can see her house from the observation deck of the Seattle Space Needle. The
observation deck is 520 feet above the ground and the angle of depression from the deck to her house
is 70. What is the direct distance from the base of the Space Needle to Kasie's house? Round your
answer to the nearest foot.
Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.
What is angle of depression?The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.
Given,
Height of the observation deck AB = 520 feet
Angle of depression = 70°
Distance of the Space needle base to house BC = ?
By the figure,
tan70° = AB/BC
BC = tan70°(AB)
BC = 2.7475(520)
BC = 1428.7 feet
Distance of the Space needle base to house to nearest foot = 1429 feet
Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.
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Evaluate 8 * 3 ^ x for a ) x = - 2 and (b) * x = 3 Write your answers in simplest form
Answer:
a. \(\frac{8}{9}\) b. 216
Step-by-step explanation:
is this learning or people asking questions to there homework?
Yes
step by step explanation
What are the coordinates of Point B?
(4, -3)
(-4, 3)
(3, -4)
(-3, 4)
Answer:
( -4 , 3 )
Step-by-step explanation:
Knowing that "y" is the line going up and down and "x' is the line going left to right.
Quadrant | = ( + , + )
Quadrant || = ( - , +)
Quadrant ||| = (- , - )
Quadrant |v = ( + , - )
Refer to image below if needed.
Hence, from the given we can conclude the following:
Quadrant || = ( - , +)
( x , y )
x = -4
y = 3
Thus, we have:
( -4 , 3 )
Therefore, the correct answer is ( -4 , 3 )
Kavinsky
Answer:
B.Step-by-step explanation:
The location on point B is quadrant II.
But what do we not know?
What the coordinates of point B are.So, lets find it in the most simple way:
Start at the origin.From the origin, move 4 spaces to the left on the x-axis.Then, move 3 spaces upward from the y-axis.Now, you are at point B.
In the explanation, the coordinates for x and y are right in my explanation. Read it carefully and find the coordinates:
2nd line: move 4 spaces to the left on the x-axis. This coordinate for that is -4.3rd line: move 3 spaces upward on the y-axis. this coordinate is 3.Now, lets pair that together:
(-4, 3).You have found the coordinates!
Correct choice is B.What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent. a = 12%, b = 17% a = 12%, b = 18% a = 40%, b = 18% a = 41%, b = 63%
Answer:
The data that we have is:
Carrots = 84
Turnips = 25
Both = 17
Neither = 15
Root vegetables = 84 + 25 - 17 + 15 = 107
"a" is the percentage of carrots that also are turnips.
we know that 17 carrots are also turnips. so the relative frequency is:
17/107 = 0.158, in percent form this can be rounded to 16%.
b is the number of NOT carrots, that also are turnips.
This will be equal to the 25 turnips minus the 17 turnips that also are carrots
25 - 17 = 8
So we have 8 turnips that are not carrots.
Then we have:
b = 8/107 = 0.075
rounded to the nearest percent we get b = 8%.
So the values do not coincide with the options, and neither some of the data, for example the carrots that are not turnips are:
84 total carots, 17 of them are turnips, so we have 84 - 17 carrots that are not turnips:
84 - 17 = 67
then the relative frequency is:
P = 67/107 = 0.626, rounded to the nearest percent we get 63%
So there may be a number wrong in the diagram.
Answer:
B edg a=12% b=18%
Step-by-step explanation: