The equation K = 4a + 9ab solved for a is a = K /(4 + 9b). (Option D)
In mathematics, an equation refers to a formula that expresses the equality of two mathematical expressions by connecting them with the equals sign =.
The given equation is K = 4a + 9ab.
In order to solve for a, the a variable must be isolated at one side of the equation and the other variables must be collected on the other sides.
On the right-hand side, as both terms contain the variable a, hence factoring it,
K = a(4 + 9b)
Dividing both sides by (4 + 9b) to isolate a,
a = K /(4 + 9b)
Note: The question is incomplete. The complete question probably is: Solve the equation for a in K = 4a + 9ab. A) a = K(4 + 9b) B) a = 4(K + 9b) C) a = (4 + 9b)/K D) K /(4 + 9b)
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calls to the help line of a large computer distributor follow a poisson distribution with a mean of 23 calls per minute. (a) what is the mean time until the one-hundredth call? minutes (round your answer to 2 decimal places.) (b) what is the mean time between call numbers 50 and 80? minutes (round your answer to 2 decimal places.) (c) what is the probability that three or more calls occur withing 15 seconds? (round your answer to 3 decimal places.)
Therefore , the mean time until the one-hundredth call is 4.35 ,the mean time between call numbers 50 and 80 is 1.30 and s the probability that three or more calls occur withing 15 seconds is 0.754
What is poisson distribution?The Poisson distribution, used in probability theory and statistics, is a discrete probability distribution that expresses the likelihood that a specific number of events will take place within a predetermined window of time or space, provided that they do so at a known constant mean rate and regardless of the interval since the last event.
Here,
Thus, calls occur according to a poisson process with λ=23 calls per minute
a)X is the time until the one-hundredth call , X has Erlang distribution with rate of 23 and r =100
E(X)=r/ λ = 100/23 =4.35
b)The expected time between call numbers 50 and 80 is the same as the expected time until the 30th call this is Erlang distribution with rate of 23 and r =30
E(X)=r/ λ =30/23=1.30
c)P(N≥3) λ=23, x=1/4 ,λx=5
1-P(N≤2) = 1- ∑ [tex]\frac{e^{-5}-5^{k}}{k!}[/tex](from k=0 to 2 )=0.754
Therefore , the mean time until the one-hundredth call is 4.35 ,the mean time between call numbers 50 and 80 is 1.30 and s the probability that three or more calls occur withing 15 seconds is 0.754
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Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
The value of the number will be;
⇒ x = - 11
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''
Now,
Let the quantity of a number = x
So, We can formulate;
⇒ 3x + 7 = x - 15
Solve for x as;
⇒ 3x - x = - 15 - 7
⇒ 2x = - 22
⇒ x = - 11
Thus, The value of the number will be;
⇒ x = - 11
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In a group of 150 people, 120 like to play volleyball, 85 like to play football and 25 like none of the games : (1) Show the above information in a Venn-diagram. (2)How many people like to play both the games?
the computed t-value of -1.708 for a two-tailed hypothesis test of the difference of two means with sample size of 26 would yield a p-value of 0.10. group of answer choices true false
The computed t-value of -1.708 for a two-tailed hypothesis test of the difference of two means with sample size of 26 would yield a p-value of 0.10.
This statement is a false statement.
How does hypothesis testing work?To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample. First, a hazy assumption about the parameter or distribution is made.
What is a sample of a hypothesis test?The null hypothesis is that 50% is true, while the alternative hypothesis is that 50% is not accurate, for instance, if someone wants to test whether a penny has an exact 50% chance of landing on heads.
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a survey was taken of a random sampling of residents of new york city and los angeles to compare how many of them own a car. a 4-column table with 3 rows. the first column has no label with entries l a residents, n y c residents, total. the second column is labeled own a car with entries 3,251; 1,478, 4,729. the third column is labeled do not own a car with entries 869; 6,182; 7,051. the fourth column is labeled total with entries 4,120; 7,660; 11,780. which statement about the two-way frequency table is true?
The true statement is;
There is a greater percentage of Los Angeles residents who own a car than New York City residents who do
Given,
Following is the presentation of the values:
The number of residents in Los Angeles own a car = 3251
The number of residents in New York City own a car = 1478
Total residents who own a car = 4729
Los Angeles residents who do not own a car = 869
New York City residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total Los Angeles residents sampled = 4120
Total New York City residents sampled = 7660
Total residents of both cities sampled = 11780
Here,
Percentage of Los Angeles residents who own a car = (3251/4120)×100 = 78.9%
Percentage of New York City residents who own a car = (1478/7660)×100 = 19.3%
Then,
The total number of people in the poll who own a car = 4729
Therefore,
The correct option is that there is a greater percentage of Los Angeles residents who own a car than New York City residents who do.
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Answer: B
Step-by-step explanation:
I need some help here guys. I don't know what to do and I need this to be done until 11:59.. :(
Answer: The graph is shown below. It is nonlinear
==========================================================
Explanation:
I used GeoGebra to make the graph. Desmos is another option I recommend.
The equation we graph is y = (1/2)^x since we're splitting the paper in half each time. This is an exponential decay function. Note how the curve slopes downhill when moving to the right.
It appears the curve touches or crosses the x axis; which is misleading. Instead, the curve is getting closer and closer to this horizontal asymptote. It will never reach the x axis. Think of it like an electric fence.
As the graph indicates, we don't have a straight line. Therefore, the function isn't linear. It's a nonlinear curve.
Please help, giving thanks and brainliest:) (Please give an explanation if possible and please dont give a fake answer)
Please answer both what angle relationship it is and what x equals
By analyzing the geometric system presented in the figure, the angle x has a measure of 56°.
What is the measure of the missing angle within a pair of angles?
In this question we find a representation of pair of angles, that is, a geometric system with two adjacent angles. The sum of the measures of the two angles equals 98° and one of the angles has a measure of 42°:
42° + x = 98°
x = 98° - 42°
x = 56°
The missing angle x has a measure of 56°.
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If 2|8 –2x| = 20, x could equal which of the following?
Answer: x can equal 9 or -1
Step-by-step explanation:
a group of veterinarians at a major veterinary hospital was interested in investigating a possible link between enteroliths, stones that form in the colon of horses, and diet. they decided to conduct a survey of feeding practices of horses in the hospital's state. they created a survey questionnaire and decided to administer it to the owners of every fifth horse being treated at the hospital. the sample is a:
Fron the given question, we can say that systematic sample because not all sample are possible.
What is Systematic sampling?Using the probabilistic sampling technique known as systematic sampling, researchers periodically choose individuals from a community. Choose each 15th of her, for instance, from the population list. You can simulate the advantages of straightforward random sampling by randomly sorting the population.
[tex]Since every 100th horse is selected in the sample. Thus, Systematic Sampling is used.[/tex]
Further,
Sampling method is said to be Simple Random Sampling if unit from the population are picked randomly without any criteria, so that each unit as similar chance of selection.
If any criteria are used to select every sample, such as selecting every fourth unit, the sampling technique is said to be systematic sampling.
If the population is divided into various groups that share the same characteristic, the sampling method is said to be stratified sampling. Additionally, units are chosen at random from these groups.
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I don't understand how to figure out the product:
Write 91 as the product of prime factors in ascending order
Then, work out the HCF of 91 and 130
91 as a product of its prime factors will be 7 and 13.
The highest common factor of 91 and 130 is 13.
How to calculate the factor?The process of factorization simony has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.
The factor of 91 include 1, 7, 13 and 91
The factor of 130 include 1, 2, 5, 10, 13 65, and 130.
The highest factor is 13.
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Your uncle is trying to decide between the purchase of a sports car or a SUV. The
sports car is cheaper to buy but costs more to insure. Specifically, the sports car
would cost $5000 plus $2500 each year for insurance, while the SUV would be
$8000 plus $800 per year to insure. After how many years would the amount
spent on each vehicle be the same?
The number of years it will take such that amount spent on each vehicle is the same will be 2.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Suppose after x years the amount will be the same.
5000 + 2500x = 8000 + 800x
2500x - 800x = 8000 - 5000
1700x = 3000
x = 1.76
Since x must be a whole number so it will round up so x = 2.
Hence "The number of years it will take such that amount spent on each vehicle is the same will be 2".
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Solve using substitution x=-3 -4x-y=10
How do I do−7−4p−(−5)?
Answer: p = 3
Step-by-step explanation:
7−4p−(−5)
7-4p + 5
Because negative one times negative five equal positive 5
12 - 4p
To solve further
-4p = -12
p = 3
In July, the price of a gallon of gasoline rose 12%. In August it fell 15% of its final July price, ending
the month at $1.19. What was its price at the beginning of July
Price of a gallon of gasoline at the beginning of July was $2.41
What is percentage?
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.
According to the question:
In July, the price of a gallon of gasoline rose=12%
In august, it fell 15% of its final July price,
Ending the month at 1.19 rupees
Let us consider,
x is the original price at the beginning of July,
then the price of gasoline rose is 112%
=100+2
=112%
=112/100
=1.12
In august it fells 15%=100-15%
=.85%
With the help of given data
the original price is---- x
(1.12) × (.85) x = 2.29
find the value of x
x = 2.29/0.952
x=2.41
x=2.41 was its price at the beginning of July.
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A toy store received a shipment of stuffed animals. The store
displayed 2/5 of the stuffed animals at the back of the store. A display with 3/8 of the animals was at the front of the store. The rest of the stuffed animals were stored in a storage area. What fraction of
the stuffed animals was stored in the storage area?
Answer:
C) 9/40
Step-by-step explanation:
1 - [tex]\frac{2}{5}[/tex] - [tex]\frac{3}{8}[/tex] Make equivalent fractions with 40 as the denominator
[tex]\frac{2}{5}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{16}{40}[/tex] Another name for [tex]\frac{8}{8}[/tex] is one. This is how we can make equivalent fractions.
[tex]\frac{3}{8}[/tex] x [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{40}[/tex]
1 can also be written [tex]\frac{40}{40}[/tex]
[tex]\frac{40}{40}[/tex] - [tex]\frac{16}{40}[/tex] - [tex]\frac{15}{40}[/tex] = [tex]\frac{9}{40}[/tex]
Joy horneo 2 pizzas y corto cada pizza en 8 pedazos . Joy y su hermano se comieron todo menos 4 pedazos de pizza .¿Que ecuación se puede usar para encontrar p, el número de pedazos que se comieron Joy y su hermano?
The equation that can be used to find {p}, the number of pieces Joy and her brother ate is : {p} + 4 = 16.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Joy baked 2 pizzas and cut each pizza into 8 pieces. Joy and her brother ate all but 4 pieces of pizza.
We can write the equation {p} as -
2 x 8 = 4 + {p}
{p} + 4 = 16
Therefore, the equation that can be used to find {p}, the number of pieces Joy and her brother ate is : {p} + 4 = 16.
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{Question in english language is -
Joy baked 2 pizzas and cut each pizza into 8 pieces. Joy and her brother ate all but 4 pieces of pizza. What equation can be used to find p, the number of pieces Joy and her brother ate?
Which equation represents a line
passing through the point (8, 16) with a slope of 3?
Please explain all of the steps
Answer: y = 3x - 8
Step-by-step explanation:
We will write a point-slope equation to help us write a slope-intercept equation.
y - 16 = 3(x - 8)
y = 3(x - 8) + 16
y = 3x - 8
The slope-intercept form equation that represents this line is;
y = 3x - 8
Write the equation of the line perpendicular to y=-3x-1 that passes through the point (3,4)
The equation of the line perpendicular to y=-3x-1 that passes through the point (3,4) is y = (1/3)x + 3.
What do you mean by equation of line?
The slope of the line and a point on the line can be used to create the equation of a line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.
The slope of the line given in the question is: -3,
The slope of perpendicular line is negative reciprocal of the slope of other line,
So,
The slope of perpendicular line is: 1/3.
The equation of the line is generally in the form:
y = mx + c
So, the equation of line becomes:
y = (1/3)x + c
We have given that the line passes through the point (3,4).
Putting the values of x and y in the above equation to get the value of c.
4 = (1/3)(3) + c
c = 3
Putting the value of c in the equation,
y = (1/3)x + 3
This is the required equation.
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Answer:
(-3,-4) and (3,4).
Step-by-step explanation:
Which one of the following is not a quadratic equation
a. (x + 2)² = 2(x + 3)
b. x² + 3x = (-1) (1 - 3x)²
c. (x + 2) (x - 1) = x² - 2x - 3
d. x³ - x² + 2x + 1 = (x + 1)³
The equation (C) (x + 2) (x - 1) = x² - 2x - 3 is not a quadratic equation.
What do we mean by quadratic equation?A quadratic equation is any algebraic expression that can be expressed in proper format where x represents an unknown value, a, b, and c represent known values, and where a 0 is true.
(A) (x + 2)² = 2(x + 3)
Algebraic identity is used:
(a + b)² = a² + 2ab + b²
x² + 4x + 4 = 2x + 6
x² + 4x - 2x + 4 - 6 = 0
x² + 2x - 2 = 0
The equation has a degree of two.
As a result, the equation (x + 2)² = 2(x + 3) is quadratic.
(B) x² + 3x = (-1) (1 - 3x)²
Algebraic identity is used:
(a - b)² = a² - 2ab + b²
x² + 3x = -1(1 - 6x + 9x²)
x² + 3x = -1 + 6x - 9x²
x² + 9x² + 3x - 6x + 1 = 0
10x² - 3x + 1 = 0
The equation has a degree of two.
As a result, the equation (x + 2)² = 2(x + 3) is quadratic.
(C) (x + 2) (x - 1) = x² - 2x - 3
According to the multiplicative and distributive properties:
x² - x + 2x - 2 = x² - 2x - 3
x² - x² - x + 2x + 2x - 2 + 3 = 0
3x + 1 = 0
The equation has a degree of 1.
As a result, the equation (x + 2) (x - 1) = x² - 2x - 3 is not quadratic.
Therefore, the equation (C) (x + 2) (x - 1) = x² - 2x - 3 is not a quadratic equation.
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Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal. The angles are also complimentary. Find angle 9
The measure of angle 9 is 45 degrees.
What is complementary angles?
Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.
Given:
Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal.
The angles are also complimentary.
We have to find the measure of angle 9.
If <9 and <10 are corresponding, it means they are equal i.e <9 = <10
Since <9 and <10 are also complementary angles, their sum will be 90 degrees
<9+<10 = 90
<9 + <9 = 90
2m<9 = 90
m<2 = 90/2
m<2 = 45 degrees
Hence the measure of angle 9 is 45 degrees.
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hello help me please
8. 250°
9. 120° and 40°
10. 55°
11. 120° and 50°
12. 125° and 15°
13. 70° and 30°
14. 80°
15. 70°
Step-by-step explanation:
8.
the angle at a vertex (crossing point) outside of the circle (when both lines intersect with the circle arc, which is also the case for tangents) is half of the difference of both arc angles (the outer and the inner angles).
the outer angle is 250°. since the full circle is 360°, this makes the inner arc angle 360-250 = 110°.
the difference is 250-110 = 140.
and half of that difference is
140/2 = 70°.
so, x = 70°
9.
see 8.
the angle at the vertex outside the circle is half of the difference between outer and inner arc angle.
in fact, this is again about tangents (despite the picture), because the outer angle + the inner angle is again 360° (the full circle). this can only be, if the 2 lines are tangents splitting the outer and inner arc angles into 2 parts of 360° without remainder.
320 - 40 = 280
280/2 = 140
x = 140°
10.
see 8. and 9.
it is an extreme example, where the vertex of the 2 intersecting lines is exactly on the circle arc and the tangent point of the second line.
this makes the inner arc angle = 0°.
remember, the vertex angle (55°) is half of the difference of the outer (x) and inner (0°) arc angle.
55 = (x - 0)/2
110° = x
11.
remember the table question, where we found that the circle internal angle of 2 intersecting lines is half of the sum of both intersected arc angles ?
this is exactly this case again.
(120 + 50)/2 = 170/2 = 85°
x = 85°.
12.
first, like in 8. and 9., we determine the vertex angle. x is then the supplementary angle (together they have 180°) to this vertex angle, because the sum of all angles around one point on one side of a line is always 180°.
the vertex angle is
(125 - 15)/2 = 55°
x + 55 = 180
x = 125°.
13.
see 11.
the circle internal vertex angle is half of the sum of both circle arcs.
x = (70 + 30)/2 = 100/2 = 50°.
14.
again, an extreme case, where the vertex is on the circle arc. so, the second arc angle is 0°.
see also 12.
x is the supplementary angle of the vertex angle.
the vertex angle is
(80 + 0)/2 = 80/2 = 40°.
x + 40 = 180
x = 140°.
15.
it is difficult to read. I see the outer arc circle as 140°.
see 8., 9., 10.
the vertex angle x is
x = (140 - 70)/2 = 70/2 = 35°
do I sound like a broken record ? I at least feel that way. you should be able to apply the explanations from the previous questions to solve the new ones yourself.
what is not clear yet ? where do you need further explanations ?
how many different ways are there to seat five people around a circular table, where two seatings are considered to be the same if each person has the same neighbor to the left and the same neighbor to the right?
If the person has same neighbor to the left and right , Seating is considered same. By using circular permutation, the answer is 2.
What do you mean by permutation?A conceivable order or arrangement for a group of items, especially one among several alternatives.
What is the formula to calculate permutation?The formula for permutation is:
[tex]P(n,r)= \frac {n!}{(n-r)!}[/tex] (Permutation)
[tex]P(n)=(n-1)![/tex] (Circular permutation)
Total number of people=5
Since the orientation with same neighbor to left and right is considered same. We consider 3 people as 1 which represent a person with neighbors.
Total people used in circular permutation=3
P(3)= (3-1)!
=2!
=2.
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a random variable from an experiment where outcomes are normally distributed a. can have any value between -infinity and infinity. b. can have only a few discrete values c. can have positive values d. can have no values
a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.
A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.
A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.
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patients arrive at a hospital emergency room at an average rate of 6 per hour. if a patient arrives at 11:30am, what is the probability that at least one patient arrives by 11:45am?
At least one patient will arrive in the following 15 minutes if the next patient arrives before 11:45 a.m.= ∗e −1.5 ≈0.777.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
According to our question-
I If X indicates the number of patients who arrived in 1.5 hours at random, then X = Pois(6*1.5) = Pois (9)
P(X=7)=frac 9/7/7!e-9/approximately 0.17P(X=7)= 7! 9/7
\s ∗e \s−9 \s ≈0.117
(ii) If X indicates the number of patients who arrived in 15 minutes or less, then X = Pois(6*0.25) = Pois (1.5)
At least one patient will arrive in the following 15 minutes if the next patient arrives before 11:45 a.m.
P(X≥1)=1-P(X<1)
=1-P(X=0)
=1-frac 1.5 0 0!*e 1.5 Approximately 0.777P(X1)
=1−P(X<1)
=1−P(X=0)=1− \s0! \s1.5 \s0
\s ∗e \s−1.5 \s ≈0.777
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If triangle DOG is similar to triangle CAT then find the measure of each of the following:
m
m
Therefore, the above sides and angles will be the corresponding angles and sides of a similar triangle.
What is congruence?Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have an identical appearance.
Here,
In the event that "CAT"
As per SSS guideline, we receive
CA=DO
AT=OG
CT=DG
The congruent triangles' corresponding angles will also be:
∠CAT = ∠DOG
∠ATC = ∠OGD
∠ACT = ∠ODG
Two triangles are similar if they are congruent with one another.
if ∆CAT≅∆DOG
Next,∆CAT~∆DOG
As a result, the angles and sides of the triangle with the same sides as those above will be the same.
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the graphs of these two equations intersect in how many points? \begin{align*} x^2 y^2
The graphs of these two equations intersect in 4 points.
What is an example of a hyperbola?
A hyperbola is a collection of points in a plane whose separations from two fixed points, known as its foci (plural of focus), differ by an amount that is always the same.
Using the figure as an example, a hyperbola with foci at (-3,0) and The point at illustrates its constant distance as being 4. (-3,-2.5).
x²+y²=25
it is a circle with radius=5
x²-y²=3
it is a hyperbola.
x²-y²=3
so, they intersect in four points.
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The complete question is -
The graphs of these two equations intersect in how many points?
x^2+y^2=25
x^2-y^2=3
Evaluate 9.1p + 8.9r when p = 6 and r =7.
Answer:
116.9
Step-by-step explanation:
9.1(6) + 8.9(7)
54.6+62.3
116.9
FIND X PLEASE PLEASE PLEASE HELP IM BEGGING YOU
Answer:
A
Step-by-step explanation:
DOUBLE POINTS!!! Please help!
answer
x=-10
x=0
Step-by-step explanation:
x(x+10) =0
apply zero product property
sorry if this is a straight forward answer
Answer:
The first solution is -10 and the second solution is 0
Step-by-step explanation:
The question is x * (x+10) = 0
When the product of factors equals 0, at least one factor is 0:
x = 0
x+10 = 0 which can be simplified to x = -10 by subtracting 10 from both sides. Thus, the two solutions to x * (x+10) = 0 is -10 and 0.
Alyssa started working making $14.75 per hour. She worked a total of 48 hours the last pay cycle. Her taxes totaled $104.22. What was Alyssa’s taxable income?
Alexa's non-taxable income will be equal to $603.3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Alyssa started working making $14.75 per hour. She worked a total of 48 hours during the last pay cycle. Her taxes totalled $104.22.
The non-taxable income will be calculated as,
Total income = 14.75 x 48 = 707.52
Non-taxable income = 707.52 - 104.22
Non-taxable income = $603.3
Therefore, Alexa's non-taxable income will be equal to $603.3.
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