Answer:
None
Step-by-step explanation:
Equation one gives you 76
Equation two gives you 3
PLSS HELPPPP(10 points)
Answer:
-9
Step-by-step explanation:
the uniform probability distribution is used with . a. a discrete random variable b. any random variable c. a normally distributed random variable d. a continuous random variable
The uniform probability distribution is used with option (d) a continuous random variable.
The uniform probability distribution is used for a continuous random variable, meaning that a variable can take on any value within a specified range, and the likelihood of any value within that range is equal. This distribution is often represented by a rectangle with height equal to the uniform probability density, and width equal to the range of the variable. In other words, if the range of a continuous random variable is from a to b, and we define the uniform distribution over this range, then the probability of any value between a and b is equal to (b-a)^-1. The uniform distribution is useful in various applications where the lack of knowledge of the underlying process leads to equal probabilities for all outcomes in a given range.
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billy took a 3/4 mile hike in the woods. if the stopped every 1/4 of a mile to drink from his water bottle, how many times did the top?
la señora villegas tiene resrvados 6500 pesos para comprar el vestido de graduacion de su hija dany el cual costo el 75% de su presupuestto ¡cuanto le quedo en efectivo ala señora villegas?
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. (a) Write a differential equation that is satisfied by y. (Use k for the constant of proportionality.)
dy/dt = ____
(b) Solve the differential equation. Assume y(0) = C. y = _____
(c) A small town has 1300 inhabitants. At 8 AM, 100 people have heard a rumor. By noon half the town has heard it. At what time will 90% of the population have heard the rumor? (Do not round k in your calculation. Round the final answer to one decimal place.) ______hours after the beginning
(a) The differential equation that is satisfied by y is:
\(\frac{dy}{dt} = ky(1-y)\)
(b) To solve the differential equation, we separate the variables and integrate both sides:
\(\frac{dy}{y*(1-y)} = k*dt\)
Integrating both sides, we get:
\(\frac{lnly}{1-y} = k*t +c1\)
where C1 is an arbitrary constant of integration.
We can rewrite the equation in terms of y:
\(\frac{y}{1-y} = e^{(k*t+c1)}\)
Multiplying both sides by (1-y), we get:
\({y} = e^{(k*t+c1)} *(1-y)\)
\(y= \frac{C}{(1+(c-1)e^{-kt} }\)
where C = y(0) is the initial fraction of the population who have heard the rumor.
(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.
Substituting these values into the equation from part (b), we get:
\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)
Solving for k, we get:
\(k= ln(\frac{12.857}{4} )\)
Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:
\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))
Solving for t, we get:
t = 8.7 hours after the beginning (rounded to one decimal place)
A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).
Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.
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WHY are my cheeks so big and juicy what do I do
Answer:
Ask for a refund. Those fake buttox's aren't right for you,
Step-by-step explanation:
Answer:
You are Theodore from Alvin and the chipmunks, You can use them to store food
Step-by-step explanation:
ok
5) Simplify the expression and identify any restrictions on x.
Answer:
attached in the file
In a circle, an angle measuring 7.1 radians intercepts an arc of length 2.4. Find the radius of the circle to the nearest 10th.
The radius of the circle with arc length of 2.4 and subtended angle at the center, 7.1 radians is 0.3
What is an arc of a circle?The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.
length of arc = 2.4
if 7.1 rad is the angle subtended by the intercepts of the arc
But \(\pi\) rad = 180°
so 7.1 rad in degree = \(\frac{7.1}{\pi }\) x 180 which is \((\frac{1278}{\pi } )^{} }\) degree which is \(\alpha\)
Length of an arc = \(\frac{\alpha }{360} * 2\pi r\)
2.4 = \((\frac{1278}{\pi } )^{} }\) x \(\frac{1}{360}\) x 2 x \(\pi\) x r
The equation reduces to
2.4 = 7.1r
r = 2.4 ÷ 7.1
r = 0.334 which is 0.3
In conclusion the radius of the circle is 0.3
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Let R be the region in the fourth quadrant enclosed by the x-axis and the curve y=x²-2kx, where k is a constant. If the area of the region R is 36, then the value of k is
a)-3
b)3
c)4
d) 6
To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.
To find the value of k, we need to follow these steps:
Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0
This means that the curve intersects the x-axis at x = 0 and x = 2k.
Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.
Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx
Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)
Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3
Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3
Take the cube root of both sides:
k = 3
The value of k is 3 (Option b).
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What is the sum of 3 + ( –4 ) ? You may use the number line to help you figure out you’re answer
Answer:
-1
Step-by-step explanation:
To visualize this on a number line you are moving four spots over to the left of 3 (since it is to the left, it is a negative four). 3 to 2 is the first movement to left, 2 to 1 is the 2nd movement, 1 to 0 is the third movement, and 0 to -1 is the fourth movement to the left.
Answer:
-1
Step-by-step explanation:
It's basically 3-4
Let's say you have to make 4 pies by 4:00 but only make 3. You'd be missing 1.
Which term refers to a process that is deployed to ensure the confidentiality and integrity of data while being stored or when it is transmitted Brainly?
The term refers to a process that is deployed to ensure the confidentiality and integrity of data while being stored or when it is transmitted is called "Encryption".
What is encryption?Data encryption is a computational procedure that converts plaintext/cleartext (unencrypted, readable data) in ciphertext (encrypted data), which is only available to authorised users with the correct cryptographic key.
Some key features regarding the encryption are-
Data is converted into cipher text through encryption that used a cipher (an encrypted technique) and an encryption key. A key (the same key for symmetric key encryption; a distinct, related value for asymmetric cryptography) is employed to decode the cipher - text into the original value once it has been communicated to the receiving party. Since encryption keys function similarly to physical keys, only users who have the appropriate key can "unlock" or decode the encrypted information.Encryption is frequently important to uphold compliance laws imposed by numerous organisations or standards bodies, in addition to the strong data privacy protection it offers.To know more about encryption, here
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Roman numerals of 900
To write the number 900 into roman numerals you subtract 100 (C) from 1000 (M). when you subtract a quantity you write it in the left of the other quantity. Then, 900 in roman numerals is:
CM
In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages m = 400 msec. The distribution of reaction times is approximately normal with a = 40. Assume that the researcher obtained a sample mean of M = 422 for the n = 25 participants in the study.
1. Are the data sufficient to conclude that the alcohol has a significant effect on reaction time? Use a two-tailed test with a =. 1.
2. Do the data provide evidence that the alcohol significantly increased (slowed) reaction time? Use a one-tailed test with a =. 5.
3. Compute Cohen's d to estimate the size of the effect
The p-value for a one-tailed test with 24 degrees of freedom and a t-value of 3.5 is less than 0.01 and an effect size of 0.57 indicates that alcohol consumption has a significant impact on reaction time, and the magnitude of the effect is moderate to large.
To determine if the data is sufficient to conclude that alcohol has a significant effect on reaction time, we need to conduct a hypothesis test. We can use a two-tailed test because we are not sure if alcohol will increase or decrease the reaction time.
The null hypothesis (H0) is that the mean reaction time is equal to the regular population average of 400 msec. The alternative hypothesis (Ha) is that the mean reaction time is not equal to 400 msec due to alcohol consumption.
With a significance level of α = 0.1, we can use a t-test to test the hypotheses. The formula for the t-value is:
\(t = \frac{M - \mu}{s \sqrt{n}}\)
Where M is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
Plugging in the values from the problem, we get:
\(t = \frac{(422 - 400)}{(40 \sqrt{25})} = 3.5\)
The degrees of freedom for this test is n-1 = 24. Using a t-table or calculator, we find that the p-value for a two-tailed test with 24 degrees of freedom and a t-value of 3.5 is less than 0.01.
Therefore, we reject the null hypothesis and conclude that alcohol consumption has a significant effect on reaction time.
To determine if the data provides evidence that alcohol significantly increased (slowed) reaction time, we can use a one-tailed test because we are only interested in whether alcohol increases reaction time.
The null hypothesis (\(H_0\)) is that the mean reaction time is equal to the regular population average of 400 msec. The alternative hypothesis (Ha) is that the mean reaction time is greater than 400 msec due to alcohol consumption.
With a significance level of α = 0.05, we can use a t-test to test the hypotheses.
Using the same formula as before, we get:
\(t = \frac{(422 - 400)}{40 \sqrt{25} }=3.5\)
The p-value for a one-tailed test with 24 degrees of freedom and a t-value of 3.5 is less than 0.01.
Therefore, we reject the null hypothesis and conclude that the data provides evidence that alcohol significantly increased (slowed) reaction time.
Cohen's d is a measure of effect size that allows us to determine the magnitude of the difference between two means in terms of standard deviation units. Cohen's d is calculated by taking the difference between the two means and dividing it by the pooled standard deviation.
The formula for Cohen's d is:
\(d = \frac{M_1 - M_2}{s}\)
Where \(M_1\) and \(M_2\) are the means of the two groups being compared, and s is the pooled standard deviation.
In this case, we can use the regular population average of 400 msec as the comparison group, and the sample mean of 422 msec as the experimental group. The pooled standard deviation can be calculated using the formula:
\(s=\sqrt{\frac{((n_1-1)s_1^2 + (n_2-1)s_2^2)}{ (n_1 + n_2 - 2)} }\)
Where \(s_1\) and \(s_2\) are the standard deviations of the two groups, and \(n_1\)and \(n_2\) are the sample sizes.
Using the values from the problem, we get:
\(s=\sqrt{\frac{((25-1)40^2 + (1-1)0^2)}{ (25 + 1 - 2)} } = 38.91\)
Plugging in the values for\(M_1\), \(M_2\), and s, we get:
d = (422 - 400) / 38.91 = 0.57
The effect size (Cohen's d) of 0.57 suggests a moderate to large effect of alcohol on reaction time. According to Cohen's guidelines, an effect size of 0.2 is considered small, 0.5 is considered medium, and 0.8 or higher is considered large.
Therefore, an effect size of 0.57 indicates that alcohol consumption has a significant impact on reaction time, and the magnitude of the effect is moderate to large.
It is worth noting that Cohen's d only provides an estimate of effect size, and other factors such as the context of the study and the specific population being studied may influence the interpretation of the effect size. Nevertheless, Cohen's d is a widely used measure of effect size that allows for meaningful comparisons across studies and different variables.
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Identify the factors of 6ab − 8a 21b − 28. (2a 4)(3b − 7) (2a − 4)(3b 7) (2a 7)(3b − 4) (2a − 7)(3b 4)
Answer: ) (2a+7)(3b- 4)
Step-by-step explanation:
what fraction is equivalent to 33 1/3% in simplest form
Answer:
\(\frac{1}{3}\)
Step-by-step explanation:
(33*3+1 )/3 = 100/3%
Then you need to convert that to decimal by dividing 100
100/300 = 0.3333
which is 1/3 in decimal form
Find the equation of a line perpendicular to y=3x+3 that passes through the point (3,2)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(y = \stackrel{\stackrel{m}{\downarrow }}{3} x + 3\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{3\implies\cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}\)
so we're really looking for the equation of a line whose slope is -1/3 and that is passes through (3 , 2)
\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=- \cfrac{1}{3}x+1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{3}x+3 \end{array}}\)
Find the missing side lengths (Use sqrt in place of a square root symbol)
Step-by-step explanation:
Because this is a right triangle and it is given that one angle is 45 than also the ather angle is 45 so this triangle has 2 equal sides.So also the ather side is 6 .
Hypotenuse can be found by pythagorean theorem
6^2+6^2=x^2
36+36=x^2
x=√72
Please help me ASAP today
The points of solution that are obtained for the system of linear equations 3x + 2y = 11 and -8x - 4y = -20 are (-1,7).
2(3x + 2y = 11)
1(-8x - 4y = -20)
3x + 2y - 8x - 4y = 11 - 20 gives -5x - 2y = -9
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The system of linear equations are -
3x + 2y = 11....(1)
-8x - 4y = -20....(2)
When solved initially the value of equation is -
3x + 2y - 8x - 4y = 11 - 20
-5x - 2y = -9
Multiply equation (1) by 2 -
2(3x + 2y) = 2 × 11
6x + 4y = 22.....(3)
Simplify the equation (2) and (3) by adding -
-8x - 4y + 6x + 4y = -20 + 22
-2x = 2
x = -1
Substituting the value of x = -1 in equation (1) -
3x + 2y = 11
3(-1) + 2y = 11
Simplifying the equation -
-3 + 2y = 11
2y = 11 + 3
2y = 14
y = 7
Therefore, the final value is obtained as (-1,7).
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Xochitl is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven. How much would a taxi ride cost if Xochitl is riding for 4 miles? How much would a taxi ride cost that is m miles long?
Answer:
A four mile ride would cost $10
Step-by-step explanation:
Let T be the total ride cost
Let M be the amount of miles driven
T = 1.75M + 3
You can now sub in any distance in miles into the equation, but for this instance lets sub in 4 miles
T = 1.75*(4) + 3
T = 7 + 3
T = 10
Therefore, a four mile ride would cost 10 dollars
An easy question for people who want points
What is the MISSING NUMBER in the pattern?
Answer:
12 5/12 i think
Step-by-step explanation:
Answer:
13 3/10 is the answer.
The volume, in cubic centimeters, of a fish tank is represented by the polynomial model V(x)=36x^2-3.75x^3. What is the maximum volume of the fish tank?
A. 384.00 cubic centimeters
B. 333.83 cubic centimeters
C. 472.85 cubic centimeters
D. 491.52 cubic centimeters
Answer:
D. 491.52
Step-by-step explanation:
19 ten thousand = BLANK thousands
How many thousands are there?
Step-by-step explanation:
19 ten thousand is 190,000 thousands. To calculate this, we need to understand that 1 ten thousand is equal to 10,000. Therefore, 19 ten thousand is equal to 19 x 10,000 = 190,000. This means that there are 190,000 thousands.
Answer:
190 thousands
Step-by-step explanation:
19 + 0,000 (the # of zeros in ten thousand)
190,000
190 thousands
Which number pattern uses the rule add 3
option D (4, 7, 10, 13, ...) is the number pattern that uses the rule "add 3."
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
A number pattern is a sequence of numbers that follows a certain rule or pattern. In this case, we are given four number patterns (A, B, C, and D) and asked to identify which one uses the rule "add 3."
Let's take a closer look at each of the patterns:
A: 2, 6, 18, 48, ...
To determine the rule for this sequence, we need to look at the relationship between each pair of consecutive numbers. We can see that each number in the sequence is obtained by multiplying the previous number by 3.
B: 3, 7, 11, 15,...
Similarly, to determine the rule for this sequence, we need to look at the relationship between each pair of consecutive numbers. We can see that each number in the sequence is obtained by adding 4 to the previous number.
C: 3, 9, 27, 54,...
To determine the rule for this sequence, we need to look at the relationship between each pair of consecutive numbers. We can see that each number in the sequence is obtained by multiplying the previous number by 3. However, this pattern starts with 3 instead of 2, so it is a variation of pattern A.
D: 4, 7, 10, 13,...
Finally, we come to pattern D. We can see that each number in the sequence is obtained by adding 3 to the previous number.
Therefore, option D (4, 7, 10, 13, ...) is the number pattern that uses the rule "add 3."
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Find the equation that passes through (0,-1) and (-2,-2)
Answer:
y=1/2x-1
Step-by-step explanation:
Answer:
y= 1/2x-1
Step-by-step explanation:
Use the formula
m= -2- -1 over -2 -0
so m= 1/2
y= 1/2x+b
solving for b: b=-2-(1/2)(-2). b=-1
The equation then would be:
y=1/2x-1
Let x have a uniform distribution on the interval [a, b]. for n a positive integer, compute e(x^n) (b^n - a^n) / 2(b-a)
The final expression for e(x^n) is:
e(x^n) = (b^(2n+1) - a^(2n+1)) / ((n+1)(2n+1)(b^n - a^n))
The expected value of x^n is given by the formula E(x^n) = (b^(n+1) - a^(n+1)) / ((n+1)(b-a)) for a uniform distribution on the interval [a, b]. Therefore, substituting this into the given expression, we have:
e(x^n) (b^n - a^n) / 2(b-a) = [(b^(n+1) - a^(n+1)) / ((n+1)(b-a))] * (b^n - a^n) / 2(b-a)
Simplifying this expression, we can cancel out the (b-a) terms and obtain:
e(x^n) (b^n - a^n) / 2 = (b^(2n+1) - a^(2n+1)) / (2(n+1)(2n+1))
Therefore, the final expression for e(x^n) is:
e(x^n) = (b^(2n+1) - a^(2n+1)) / ((n+1)(2n+1)(b^n - a^n))
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find 18.2% of 25000
please and fast I'm in assessment
Answer:
4550
Step-by-step explanation:
Answer:
Step-by-step explanation:
18.2% of 25000 = 4550
7 t-shirt cost $28. Calculate the cost of 1 t-shirt
Answer:
One tshirt is $4
Step-by-step explanation:
28/7= 4
Answer:
$4.
Step-by-step explanation:
If 7 shirts equals 28 in total then just do 28/7 = 4.
4x7 = 28.
write the trigonometric expression in terms of sine and cosine, and then simplify. csc() − sin() cos()
[cos(x) - sin²(x)] / [sin(x) cos(x)] and this is the simplified form of the given expression in terms of sine and cosine. To rewrite the given trigonometric expression in terms of sine and cosine, we first need to convert the cosecant (csc) function to its reciprocal form.
csc(θ) is the reciprocal of sin(θ), so we can write it as:
csc(θ) = 1/sin(θ)
Now, we can rewrite the expression as:
(1/sin(θ)) - sin(θ) cos(θ)
This expression is already in terms of sine and cosine, so there's no further simplification needed. Your final answer is:
(1/sin(θ)) - sin(θ) cos(θ)
To write the given trigonometric expression in terms of sine and cosine, we can use the identity:
csc(x) = 1/sin(x)
So, csc(x) - sin(x) cos(x) can be written as:
1/sin(x) - sin(x) cos(x)
Now, to simplify this expression, we can multiply the second term by (1/cos(x))*(cos(x)/cos(x)):
1/sin(x) - sin²(x)/cos(x)
Now, to get a common denominator, we can multiply the first term by (cos(x)/cos(x)):
cos(x)/[sin(x) cos(x)] - sin²(x)/cos(x)
Combining the fractions, we get:
[cos(x) - sin²(x)] / [sin(x) cos(x)]
And that is the simplified form of the given expression in terms of sine and cosine.
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What is the future value of $300 in 24 years assuming an interest rate of 12 percent compounded semiannually? Multiple Choice $4,91816 $4,553,59 $4,672.25 $378.91 $441.44
The correct option among the given choices is $4,918.16.
To calculate the future value, we can use the formula for compound interest:
FV = P * (1 + r/n)^(n*t)
Where:
FV is the future value
P is the principal amount (initial investment)
r is the interest rate (in decimal form)
n is the number of compounding periods per year
t is the number of years
In this case, the principal amount is $300, the interest rate is 12 percent (0.12), the compounding is semiannual (n = 2), and the time period is 24 years. Plugging these values into the formula, we get:
FV = $300 * \((1 + 0.12/2)^(2*24)\)
≈ $300 * \(1.06^{48}\)
≈ $300 * 4.91816
≈ $1,475.45
Therefore, the future value of $300 after 24 years, compounded semiannually at an interest rate of 12 percent, is approximately $4,918.16. Among the given options, the closest match is $4,918.16.
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Multiplying and Adding Fractions 6(1/2+2/3+3/4) with distribution and without
Answer:
11.5 or 11 1/2
Step-by-step explanation: