Answer:
x=15
Step-by-step explanation:
Give a function that does not have an inflection point at a point where f"(x) = 0.
f"(x) = 0 at x = 0, but f(x) does not have an inflection point at x = 0 because the second derivative does not change sign at that point. In fact, f(x) is a convex function for all values of x, meaning it curves upwards and has no inflection points.
An inflection point is a point on a curve where the concavity changes, meaning that the second derivative of the function changes sign. Specifically, if f(x) is a twice-differentiable function, then a point c is an inflection point if f''(c) = 0 and the sign of f''(x) changes when x passes through c.
However, it is possible for a function to not have an inflection point at a point where f''(x) = 0. This can occur when the sign of f''(x) does not change as x passes through the point, meaning that the concavity does not change.
One simple example of such a function is f(x) = x^4. This function has a second derivative of f''(x) = 12x^2, which equals zero at x = 0. However, the sign of f''(x) is always positive, meaning that the concavity is always upward and does not change at x = 0. Therefore, f(x) does not have an inflection point at x = 0 despite f''(0) = 0.
In general, any even-degree polynomial will have a second derivative that equals zero at the origin, but the concavity will not change at the origin if the leading coefficient is positive. Other examples of functions that do not have inflection points at points where f''(x) = 0 include functions with constant concavity, such as f(x) = x^2 or f(x) = sin(x).
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What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10?
3
2
−2
−3
Answer:-2
Step-by-step explanation: hope this helps!!
Answer:
-2
Step-by-step explanation:
5x + 2x -8 = 5x + x - 10
2x - x = 8-10
x = -2
What is 0.005 6 in standard form
The standard form of the given number is (5 × 10⁻³)/6.
What do we mean by standard form?The standard form of a number is a method of writing the number that adheres to certain rules. Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten.The standard form of 0.005/6 is:
= 0.005/6= (5/1000)/6= (5/10³)/6= (5 × 10⁻³)/6Therefore, the standard form of the given number is (5 × 10⁻³)/6.
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a) ( -14) + 5 + 17 + 14
Answer:
= 22 is the answer, if I got it wrong I tried to help
Answer:
22
Step-by-step explanation:
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A Walkway, A rectangular building, 50 m by 70 m is surrounded by a walk 1.5 m wide.
a. Find the area of the region covered by the building and the walk.
b. Find the area of the walk.
Answer:
A Walkway, A rectangular building, 50 m by 70 m is surrounded by a walk 1.5 m wide.
a. Find the area of the region covered by the building and the w
Why
is the use and interpretation of an R or s chart so critical when
examining an X-bar chart?
The use and interpretation of an R or s chart are critical when examining an X-bar chart because they provide additional information about the variation within the subgroups. This allows for a more comprehensive analysis of the process and helps identify any issues or sources of variability.
When using an X-bar chart, the focus is on monitoring the process mean or average. However, the X-bar chart alone does not provide information about the variation within the subgroups. This is where the R or s chart comes into play. The R chart measures the range of values within each subgroup, while the s chart measures the standard deviation.
By using an R or s chart alongside the X-bar chart, we can assess the variability within the subgroups and determine if it is stable over time. If the variation within the subgroups is high and unpredictable, it may indicate that the process is out of control or that there are sources of variation that need to be addressed. The R or s chart provides additional insights into the process performance and helps in identifying the presence of special causes of variation.
In summary, the use and interpretation of an R or s chart in conjunction with an X-bar chart allow for a more comprehensive analysis of process variation. This helps in understanding the stability and capability of the process and enables appropriate actions to be taken to improve quality and performance.
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3) What happens when you add a pair of opposites together?
The sum of any integer and its opposite is equal to zero
Hope this helps :)
John ordered a large three topping pizza for $7.50 and a large 8 topping pizza for $10. write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)
The equation in slope-intercept form to describe the situation is y=(1/2)x - 6
What is slope?
A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).
(x1,y1)=(3,7.5)
(x2,y2)=(8,10)
slope m= (y2-y1)/(x2-x1)
= (10-7.5)/(8-3)
= 2.5/5 =(25/10)/5 = 25/50 = 1/2
point slope form:
y-y1=m(x-x1)
y-7.5 = 1/2 (x-3)
y-750/100=1/2 (x-3) =(1/2)x-3/2
On simplifying,
y=(1/2)x - 6
The equation in slope-intercept form to describe the situation is y=(1/2)x - 6
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Write an inequality to describe the region represented on the number line.
H
-4 -3 -2 - 1 0 1 2 3 4
O x>-3
O x>-3.5
O x<-3
O x<-3.5
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required number line is not included in the question.
A general explanation is as follows:
An open circle means > or <
A closed circle means >= or <=
Take, for instance, the attached number line:
The open dot on -3 means >-3 or <-3
The arrow points to the right direction, means >-3 i.e. greater than -3
Hence, the inequality is:
\(x > -3\)
Frito-Lay Fiery Mix Variety Pack (20 Count) are assembled by a process at a Frito-Lay facility that produces an overall normally distributed weight with mean of 556.8g and standard deviation of 1.2g. If a recent order from Walmart demands that the overall weight must be no less than 556g and no more than 558g, what is the chance that Walmart's quality standard will be satisfied by the average weight of a random sample of 10 bags of Fiery Mix pack? (Enter the probability as a decimal number with as many digits after the decimal point as you can enter, e.g. 0.1234. DO NOT ENTER as 12.34% or 12.34) You might get different values every time you answer this question.
The probability that Walmart's quality standard will be satisfied by average weight of a random sample of 10 bags of the Frito-Lay Fiery Mix Variety Pack is calculated using the properties of normal distribution.
The average weight of a random sample of 10 bags from the Frito-Lay Fiery Mix Variety Pack follows a normal distribution with the same mean as the individual bags (556.8g) but with a standard deviation equal to the original standard deviation divided by the square root of the sample size \(\(\frac{{1.2g}}{{\sqrt{10}}}\)\). To find the probability that the average weight falls within Walmart's demanded range (556g to 558g), we need to calculate the area under the normal curve between these two values.
To do this, we can standardize the values by subtracting the mean from each limit and dividing by the standard deviation of the sample mean. This will give us the z-scores for each limit. Using a standard normal distribution table or a statistical calculator, we can find the corresponding probabilities for each z-score. The probability between these two limits represents the chance that Walmart's quality standard will be satisfied.
Please note that the specific decimal value for the probability may vary depending on the z-table or calculator used, but it will typically be a small probability since the demanded range is relatively narrow.
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a catering company uses a linear function to determine the total cost of parties. the following table shows the costs for dinner parties with varied numbers of guests. what is the cost to cater a dinner party with 90 guests?gueststotal cost30$31560$555$720$795$870$945
For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.
We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,
Cost for dinner parties | number of guests
(each guest)
$315 30
$555 60
We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315
so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450
Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one
So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300
Now, we have total guest = 90
The cost to cater a dinner party with 90 guests
= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300
= $42750
Hence, required value is $42750.
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in how many different ways can the letters of the word detail' be arranged in such a way that the vowels occupy only the odd positions?
The number of ways in which the word detail can be arranged in such a way that the vowels occupy only the odd positions is 36.
We will find the number of permutations in which the word DETAIL can be arranged such that the vowels occupy odd positions.
The vowels are E, A and I. They can occupy 1st, 3rd and 5th position in any order. Hence, the number of ways to do that is 3! = 6.
Now, the consonants D, T and L can occupy 2nd, 4th and 6th position in any order. Hence, the number of ways to do that is 3! = 6.
Hence,
Total number of ways = 3! * 3! = 6*6 = 36.
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Select the correct answer from each drop-down menu.
Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.
Expression 1: X (Y + Z) = X.Y + X.Z
Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z
The first expression is known as the
law. The second expression is known as the
law.
The first expression X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.
According to the question,
We have the following two expressions:
X (Y + Z) = X.Y + X.Z
X(Y.Z) = (X.Y)Z = X.Y.Z
Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.
For example, 2(5+7) is 2*5+2*7.
The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.
Hence, the first expression X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.
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According to the Boolean algebra, the first expression X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and
The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.
Boolean Algebra:
Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.
And there are three properties in Boolean algebra.
They are, Commutative, associative, and distributive properties.
Given,
Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.
Expression 1: X (Y + Z) = X.Y + X.Z
Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z
Here we need to find the name of the property used by the teacher on those two expression.
While we looking into the question,
We have the give the two expressions:
They are
=> X (Y + Z) = X.Y + X.Z
=> X(Y.Z) = (X.Y)Z = X.Y.Z
When we take the first expression,
X (Y + Z) = X.Y + X.Z
That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.
Similarly, when we take the second expression
X(Y.Z) = (X.Y)Z = X.Y.Z
That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.
Therefore, the first expression X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.
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In a recent report, Joe's, a Memphis-style barbecue chain, states that 11% of its customers order for delivery. A random sample of 6 Joe's customers is chosen. Find the probability that from 2 to 5 of them order for delivery.
The probability that from 2 to 5 of the 6 randomly selected Joe's customers order for delivery is 0.8429= 84.29%.
How do we calculate?We apply the binomial probability formula.
The binomial probability formula is given by:
P(x) = C(n, x) * \(p^x\) * \(q^(n-x)\)
Where:
P(x) i= probability of getting exactly x successes,
n= total number of trials
x = number of desired successes,
p = probability of success on a single trial, and
q = probability of failure on a single trial
We find the probabilities for each value of x and add them all
P(2) = C(6, 2) * (0.11)² * \((0.89)^(^6^-^2^)\) = 0.3074
P(3) = C(6, 3) * (0.11)^3 * \((0.89)^(^6^-^3^)\) = 0.3195
P(4) = C(6, 4) * (0.11)^4 *\((0.89)^(^6^-^4^)\) = 0.1747
P(5) = C(6, 5) * (0.11)^5 * \((0.89)^(^6^-^5^)\) = 0.0413
P(2 to 5) = P(2) + P(3) + P(4) + P(5)
≈ 0.3074 + 0.3195 + 0.1747 + 0.0413
= 0.8429 = 84.29%.
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find a formula for rn for the function f(x) = (3x)2 on [−1, 5] in terms of n.
The formula for for Rn is given as Rn = Σ 18/n (1 - 12i/n + 36i²/n²).
We are given the function f(x) = 3x² on the interval [-1, 5] . This gives
Δx =6/n and xi= -1 + 6i/n.
Therefore,
Rn = Σ f(xi) Δx
= Σ 3 (-1 + 6i/n)² 6/n
= Σ 18/n (1 - 12i/n + 36i²/n²)
The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.
Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.
The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.
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John is making 3 1/2 batches of cookies. Each batch takes 2 1/4 cups of flour. How much flour will John need for the cookies?
Answer: 7 7/8 cups of flour
Step-by-step explanation:
Since John is making 3 1/2 batches of cookies and each batch takes 2 1/4 cups of flour.
The amount of flours that John will need for the cookies will be gotten by multiply the batches of cookies made by the number of flours of cups used per batch and this will be:
= 3 1/2 × 2 1/4
= 7/2 × 9/4
= 63/8
= 7 7/8 cups of flour
what is the area of the figure below?
Answer:
15x^9
Step-by-step explanation:
A=l x w
5x^4 times 3x^5 is basically 3*5*x^4*x^5
when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9
If it costs $16 for 2 lbs, what is the unit rate? AKA what is the cost per pound?
Answer: $8 per pound
Step-by-step explanation: 16/2=8
0.8 rounded to nearest hundred
Answer:
1
Step-by-step explanation:
extending answer to be able to send
Answer:
0.9
Step-by-step explanation:
There is not even half of 10 hundredths to make another tenth. Therefore, 0.81 is closer to 0.8 than it is to 0.9. 0.81 becomes 0.8, rounded off to the nearest tenth.
Greg sold his used electric saw and accessories for $759. If he received ten times as much
money for the electric saw as he did for the accessories, find how much money he received
for the electric saw.
Answer:
Step-by-step explanation:
Let the amount of money received for the accessories = x
Then the Saw would be 10x
The total is 10x + x = 759
11x = 759 Divide both sides by 11
x = 759 / 11
x = 69 dollars.
The saw was 10 times this amount = 10 * 69 = 690
Check
690 + 59 = 759
In the diagram, the figures are similar. Use proportions to find x.
Answer:
x~11
Step-by-step explanation:
22:17=14:x
22/17=14/x
22x=17*14
22x=238
22x/22=238/22
x=238/22
x=10.818181818181818
x~11
A pringles can has a height of 30cm, and diameter 4cm to the nearest centimetres. Find the range of the actual diameter lies.
The range of a function is the set of output values the function can take
The range of the actual diameter lies between 3.5cm and 4.4cm
From the question, the approximated value of the diameter is given as:
\(d = 4cm\)
The values that can be approximated to 4cm are: 3.5cm to 4.4cm
This means that the range of the diameter is from 3.5cm to 4.4cm
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PLEASE HELP 50 POINTS
Use matrices A, B, and C to find the following:
A+B
C-B
A+B+C
By solving matrices we get,
\(A+B= \left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] , C-B=\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right] \\\\\\\\A+B+C = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right]\)
A matrix is a rectangular array or table that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity. As an illustration, consider a matrix with two rows and three columns.
Adding matrices, subtracting matrices, and multiplying matrices are the three algebraic operations that make up the majority of matrix operations. Array of numbers or expressions arranged in rows and columns is called a matrix. The field of mathematics has several useful uses for matrices.
Here the matrices A, B and C are given in the question, so we use matrix addition and matrix subraction operations to solve the question.
When solving by using the matrices solving method we get
\(A+B=\left[\begin{array}{ccc}5&7\\-1&6\\3&-9\end{array}\right] +\left[\begin{array}{ccc}8&3\\5&1\\4&4\end{array}\right]= \left[\begin{array}{ccc}5+8&7+3\\-1+5&6+1\\3+4&-9+4\end{array}\right]=\left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] \\\)
\(C-B = \left[\begin{array}{ccc}0-8&4-3\\-2-5&5-1\\7-4&-1-4\end{array}\right] =\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right]\)
\(A+B+C= \left[\begin{array}{ccc}5+8+0&7+3+4\\-1+5+-2&6+1+5\\3+4+7&-9+4+-1\end{array}\right] = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right]\)
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Answer part A and part B
\(\sf\large \green{\underbrace{\red{Answer⋆}}}:\)
[A] Right option is C
[B] 11.55
Step-by-step explanation:
\( \sf \tan A{ \degree} = \frac{Perpendicular}{Base} \)
here perpendicular is 20and base is x\( \sf \tan 60{ \degree} = \frac{20}{x} \\ \sf x = \frac{20}{ \tan60{ \degree}} \)
now we need to find value of x
tan 60° = √3
\( \sf x = \frac{20}{ \sqrt{3} } \)
first we need to rationalize by multiplying √3 in numerator and denominator
\( \sf x = \frac{20 \sqrt{3} }{3} \\ \sf x = \frac{34.64}{3} \\ \sf x = 11.55\)
In class, we examined the wait time for counter service to place your order at your McDonald's franchise on Main and Broadway was acceptable. Your next stop is at 456 Broadway and analysis determines the wait time Tin minutes for lunch service at the counter has a PDF of W(T) = 0.01474(T+0.17) 0≤T≤5. What is the probability a customer will wait 3 to 5 minutes for counter service?
The probability that a customer will wait 3 to 5 minutes for counter service can be determined by finding the probability density function (PDF) within that range and calculating the corresponding area under the curve.
The PDF given for the wait time at the counter is W(T) = 0.01474(T+0.17) for 0 ≤ T ≤ 5. To find the probability of waiting between 3 to 5 minutes, we need to integrate the PDF function over this interval.
Integrating the PDF function W(T) over the interval [3, 5], we get:
P(3 ≤ T ≤ 5) = ∫[3,5] 0.01474(T+0.17) dT
Evaluating this integral, we find the probability that a customer will wait between 3 to 5 minutes for counter service.
The PDF (probability density function) represents the probability per unit of the random variable, in this case, the wait time at the counter. By integrating the PDF function over the desired interval, we calculate the probability that the wait time falls within that range. In this case, integrating the given PDF over the interval [3, 5] will give us the probability of waiting between 3 to 5 minutes.
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Last question I need so I can turn in this past due assignment! Please help me!! X=
Answer:
x=29
Step-by-step explanation:
Since it is a right angle, the two unknown angles equal 90
2x + x-3 = 90.
3x-3=90
3x=93
x=31
The probability that a resident of Westlake subscribes to People magazine is .13. The probability that a Westlake resident is female is .57. The probability that a resident of Westlake is not a female and does not subscribe to people magazine is .32. The probability that a Westlake resident selected at random is not a female and subscribes to People magazine is
Answer:
\(P(Not\ F\ and\ S) = 0.06\)
Step-by-step explanation:
Given
Represent Subscribe with S and Female with F
\(P(S) = 0.13\)
\(P(F) = 0.57\)
\(P(Not\ F\ and\ Not\ S) = 0.32\)
Required
Determine \(P(Not\ F\ and\ S)\)
The required probability is calculated using:
\(P(Not\ F\ and\ S) = P(Not\ F) * P(S)\)
\(P(Not\ F)\) is calculated using:
\(P(Not\ F) = 1 - P(F)\)
\(P(Not\ F) = 1 - 0.57\)
\(P(Not\ F) = 0.43\)
So:
\(P(Not\ F\ and\ S) = P(Not\ F) * P(S)\)
\(P(Not\ F\ and\ S) = 0.43 * 0.13\)
\(P(Not\ F\ and\ S) = 0.0559\)
\(P(Not\ F\ and\ S) = 0.06\) (approximated)
What is the 92nd term of 11,19,27
Answer:
the 92nd term of the arithmetic sequence is 731 because the common difference between them is 8.
Show whether each logical expression is a tautology, contradiction or neither.
(a) (p ⨠q) ⨠(q â p)
(b) (p â q) â (p ⧠¬q)
(c) (p â q) â p
(d) (p â q) ⨠p
(e) (¬p ⨠q) â (p ⧠¬q)
(f) (¬p ⨠q) â (¬p â§ q)
The expressions (a), (b), (c), (d), (e), and (f) are respectively neither, contradiction, tautology, contradiction, contradiction, and tautology.
(a) Neither - This expression can be written as ¬(p ∨ q) ∧ (q ∨ ¬p), which is neither a tautology nor a contradiction.
(b) Contradiction - This expression can be written as (p ∨ q) ∧ (p ∧ ¬q), which is a contradiction because it is equivalent to (p ∨ q) ∧ (¬p), which is a false statement.
(c) Tautology - This expression can be written as (p ∨ q) ∧ p, which is a tautology because it is equivalent to p, which is always true.
(d) Contradiction - This expression can be written as (p ∨ q) ∧ ¬p, which is a contradiction because it is equivalent to (p ∨ q) ∧ (¬p), which is a false statement.
(e) Contradiction - This expression can be written as (¬p ∨ q) ∧ (p ∧ ¬q), which is a contradiction because it is equivalent to (¬p ∨ q) ∧ (¬p), which is a false statement.
(f) Tautology - This expression can be written as (¬p ∨ q) ∧ (¬p ∨ q), which is a tautology because it is equivalent to (¬p ∨ q), which is always true.
The expressions (a), (b), (c), (d), (e), and (f) are respectively neither, contradiction, tautology, contradiction, contradiction, and tautology.
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pls hewllllll[p ill give anytthing picture is down
Answer:
It would be A
Step-by-step explanation:
The other answers do not make sense.
First of all: Area= length x width.
Two of the options were larger than 49.7, so we could cross those out
Then, we look at A and B.
46.2 x 3.5 = 161.7, which is WAY larger than 49.7.
Since we have no option left to test, we can test A:
14.2 x 3.5= 49.7
Now we cam be sure that the answer is 14.2, or, A.
HOPE THIS HELPED:)