Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
Definition of a scatter plotSeveral dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.
In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:
Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.
We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.
In other words, 75% of 120 students.
If there are 120 students total throughout the three regions, then each
region has 40 pupils, or one-third of the total.
The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.
As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
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The sum of an integer and seven times next consecutive odd integers -26 find the value of the lesser integer
Answer:
-5
Step-by-step explanation:
Let n = an integer
Let (n+2) = the next consecutive odd integer
n + 7( n + 2) = -26 Distribute the 7
n + 7n + 7(2) = -26
n + 7n + 14 = -26 Combine like terms
8n +14 = -26 Subtract 14 from both sides
8n + 14 - 14 = -26 -14
8n = -40 Divide both sides by 8
n = -5
The next consecutive odd integer would be -3
Consecutive just means the next number.
Trapezoid LMNO with bases LM and ON , and Median PQ
If PQ = t +6, LM = t +3 and ON = 3t – 7, find ON
The length of base ON of trapezoid LMNO is 17 units
We know that the median theorem of trapezoid, which states that the median of a trapezoid is parallel to each base. Also, the length of the median equals one-half the sum of the lengths of the two bases.
Consider the following diagram of trapezoid LMNO with bases LM and ON , and Median PQ.
Given that the equations for the bases and median of trapezoid LMNO .
PQ = t +6, LM = t +3 and ON = 3t – 7
From above theorem,
PQ = 1/2 (LM + ON)
t + 6 = 1/2 ( t + 3 + 3t - 7)
2(t + 6) = 4t + 3 - 7
2t + 12 = 4t - 4
4t - 2t = 12 + 4
2t = 16
t = 8 units
So, ON = 3t - 7
ON = 3(8) - 7
ON = 24 - 7
ON = 17 units
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A carpenter bought a piece of wood that was 0.42 meters long. Then she sawed 0.3 meters off the end. How long is the piece of wood now?
The length of piece of wood now will be;
⇒ 0.72 meters
What is Addition?
A process of combining or adding two or more numbers is called addition.
Given that;
A carpenter bought a piece of wood that was 0.42 meters long.
And, She sawed 0.3 meters off the end.
Here,
A carpenter bought a piece of wood that was 0.42 meters long.
And, She sawed 0.3 meters off the end.
Hence, The length of piece of wood now = 0.42 + 0.3 meter
= 0.72 meters
Thus, The length of piece of wood now = 0.72 meters
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The table lists recommended amounts of food to order for party guests. And are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
To calculate the amount of food to order for the graduation party with drop-in guests, you should multiply the number of "full" guests, which is 40 + x/2, by the recommended amounts listed in the table.
To calculate the amount of food to order for the graduation party, you need to take into account the number of guests and the recommended amounts listed on the table. Since the party is for 40 guests and there will also be "drop-in" guests, you need to convert these guests into an equivalent number of "full" guests. To do this, you can divide the number of drop-in guests by 2.
So if there are x drop-in guests, the number of "full" guests will be 40 + x/2.
Now you can use this number of "full" guests to calculate how much of each food item to order. For example, if the table recommends 1/4 lb of meat per guest, you would order (40 + x/2) × 1/4 lb = 10 + x/8 lb of meat.
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SHOW YOUR WORK 256 divided by 6400
Can u please help.............
Answer:
152°
Step-by-step explanation:
2x + 48 = 3x - 4 (the measure of an exterior angle of a triangle = the sum of the measures of the two non-adjacent interior angles of the triangle)
=> 4 + 48 = 3x - 2x (on transposing)
=> 52 = x
Substituting the vale of x in the m∠JKM,
m∠JKM = 3x - 4 = 3(52) - 4 = 152°
Hope you understood!!
In the 2-man bobsled competiton in the olympics, the gold medalists were about 0.2 seconds faster than the silver medalists, and the silver medalists were about 0.14 seconds faster than the bronze medalists. Which gap in time was larger? By how much?
The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.
what is unitary method ?The unit technique is a strategy for addressing issues that entails first figuring out the value of a specific unit, then dividing that value to figure out the needed value. Simply put, the unit method is employed to derive a single system value from a multiple that is supplied. For example, 40 pens might cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, computational equations, or algebra of matrices or operators.
given
time separation of gold medalists by silver medalists is equal to 0.14 minus 0.2, or 0.11.
The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.
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A fish swims at an altitude of -20. 2 meters. A bird flies at an altitude of 38. 1 meters. Which animal is closer to sea level?
The fish is closer to sea level. Sea level is defined as the mean sea level, which is a fixed point of reference for measuring altitude.
The altitude of the fish is -20.2 meters, which is closer to sea level than the altitude of the bird at 38.1 meters. This means that the fish is closer to sea level than the bird. To explain further, sea level altitude is a point of reference that is used to measure the altitude of other objects. Sea level altitude is defined as the mean sea level which is a fixed point.
Therefore, when trying to determine which animal is closer to sea level, it is important to look at the altitude of both the fish and the bird. The altitude of the fish is -20.2 meters, which is closer to sea level than the altitude of the bird at 38.1 meters. This means that the fish is closer to sea level than the bird.
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Pat is making rectangular placemats each with area 1200cm2 she wants to braid trim around the edges how much trim does pat need for the placemat
Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat to braid trim around the edges.
To find out how much trim Pat needs for each placemat, we need to first find the perimeter of the rectangle.
The area of the rectangle is given as 1200 [tex]cm^2[/tex].
The perimeter of the rectangle is the sum of all four sides of the rectangle. If the length and breadth of the rectangle are L and B respectively, then the perimeter P can be calculated using the formula:
P = 2(L+B)
Now, let's find the length and breadth of the rectangle using the area formula,
Area = LB = 1200 [tex]cm^2[/tex]
so LB = 1200 [tex]cm^2[/tex]
Now we can substitute the value of L and B in the perimeter formula
P = 2(L+B) = 2(sqrt(1200)+sqrt(1200))
As the area of the rectangle is given as 1200[tex]cm^2[/tex] , the length and breadth can be calculated as [tex]\sqrt{1200}[/tex]cm.
So the perimeter of the rectangle is
P = 2*([tex]\sqrt{1200}[/tex] + [tex]\sqrt{1200}[/tex])
= 2*2[tex]\sqrt{1200}[/tex]
= 4[tex]\sqrt{1200}[/tex]cm
To find the total length of trim Pat needs for the placemat, we need to multiply the perimeter by the number of edges that need a trim. Since the edges are around the rectangular placemat, so it will be 4 edges.
So, the total length of trim Pat needs for the placemat is
P4 = 4[tex]\sqrt{1200}[/tex]*4 = 16[tex]\sqrt{1200}[/tex]cm
So Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat.
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Need answer quick 65 points and brainlyest
Graph using this picture
y+4=25(x−3)
The linear function y = 25x - 79 is plotted on a graph with x - intercept at 3.16
What is Graph of Linear FunctionA graph of a linear function is a line that goes through the origin (0, 0). The line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line can be positive, negative, zero, or undefined.
In this problem, the linear function given y + 4 = 25(x - 3) can be written in slope - intercept form and then plotted in a graph using a graphical calculator.
y + 4 = 25(x - 3), the linear function can written;
y + 4 = 25(x - 3) = y + 4 = 25x - 75 ;
This becomes y = 25x - 75 - 4;
Collecting like terms
y = 25x - 79
Plotting this on a graph;
The line passes through the x - axis at 3.16 which is the x - intercept
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Why is 3 a polynomial?
A variable has a degree of zero and no exponent. Each constant polynomial has a degree of zero.
A polynomial is what?A polynomial only uses addition, subtraction, multiplication, and non-negative integer exponentiation of the variables as its operations. In mathematics, the term "indeterminate" is frequently used to describe variables. A polynomial is an equation that combines variables, constants, and exponents while using addition, subtraction, multiplication, and division of numbers (No division operation by a variable).
A variable has no exponent, the degree is 0. The degree of each constant polynomial is zero .
Since 3 can be expressed as [tex]3 X 0[/tex] and is a constant polynomial, it has a degree of [tex]0[/tex].
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Is the following a direct variation? If yes, identify the constant of variation. If not, explain why.
− y = 3x
The equation given as -y = 3x is a direct variation. The constant of variation is - 1/3
What is a direct variation?It shows the relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.
A straightforward correlation between two variables is referred to as direct variation. In this case, the constant of variation will be k.
This will be Illustrated as:
y = kx
-1 = 3k
Divide
k = -1/3
The constant is - 1/3.
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Identify an irrational number between 7 and 8
PLEASE HELP ME I DONT UNDERSTAND GIVING 100 POINTS
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year
Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
(e) y - 15= 3/4(x-15)
Is this equation okay to use for the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrectly?
Creat two new equations written in point slope form
Answer:
(e) is the incorrect equationy -9 = 3/4(x -8)y -15 = 3/4(x -16)Step-by-step explanation:
Given a tree is 3 ft tall when planted and grows at 3/4 ft per year, you want to identify the point-slope equation that does NOT fit this description, and you want two (2) more point-slope equations that DO fit this description.
Point-slope equationThe point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
PointsThe point representing the initial height of the tree is (x, y) = (years, feet) = (0, 3). If the rate of growth is 3/4 ft per year, then the equation can be written ...
y -3 = 3/4(x -0) . . . . . . . . . matches choice (a)
All of the given equations have m = 3/4, so to find the incorrect equation, we need to find the point that is not on the line described by the above equation. We can do this by identifying the point (h, k) in each equation.
The attachment shows the point values used in each of the other equations (b) through (e). We find they all fall on the line except the point (15, 15) used in equation (e).
The incorrect equation is equation (e) y -15 = 3/4(x -15).
Additional equationsWe can write additional equations by finding additional points that are on the line. For the purpose, it is convenient to choose x-values that are multiples of 4. Already, equations use x = 0, 4, 12, 15. We can choose x=8 and x=16 for the equations we write. The graph shows the corresponding y-values are 9 and 15, respectively. Then two additional equations could be ...
y -9 = 3/4(x -8)
y -15 = 3/4(x -16)
__
Additional comment
There are several ways to find the equation that doesn't belong. Another way, apart from plotting the points on a graph, is to rewrite each equation into the same form. Slope-intercept form is fairly convenient for this.
(a) y -3 = 3/4(x -0) ⇒ y = 3/4x +3
(d) y -12 = 3/4(x -12) ⇒ y = 3/4x -9 +12 = 3/4x +3
(e) y -15 = 3/4(x -15) ⇒ y = 3/4x -11.25 +15 = 3/4x +3.75 (incorrect)
You can see that 3/4x (and y) will be an integer only if x is a multiple of 4. We like integers, so it is convenient to choose x as a multiple of 4.
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The table shows pairs of values for the linear function f(x) = 3x -2. Which conjencture about linear functions in general is best supported by the table?
The information in a table shows that f(x) = 3(2)x exponential function. An exponential function has the formula y = abx, wherein y and x are variables.
Describe the exponential function.An exponential function is a mathematical function with the following formula: f (x) = 1 x. where an is a fixed sum that serves as the function's basis and x is a variable. The most frequent exponential-function base is the transcendent number e, or around 2.71828. Your function must be exponential if it has the equation y = a b x, or where are constant, a Zero and b > 0 and b 1. You always used functions to the power of 2 while solving quadratic equations. An exponential function's exponent is a variable.
Here,
given:
Using the table's (0, 3):
3 = ab° , a = 3
(2) and (12):
=>12 = ab²
=>12 = 3b²
=>b² = 4
=>b = 2
=>f(x) = 3(2)ˣ
The information in a table shows that the exponential function, f(x), equals 3(2)x.
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domain and range of f(x)=|x|
The domain and range of f(x) = |x| is
Domain: all real numbers
range: positive real numbers
What are absolute values?The distance of a number from a number line's origin is referred to as the absolute value of that number. Its representation is |x|, which establishes the size of any integer 'x'.
Any integer's absolute value, regardless of its sign, will be one of the real numbers, whether it is positive or negative. The modulus of x, which is represented by two vertical lines |x|, is a mathematical concept.
Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value.
Since absolute value can be zero the range is all positive numbers
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3) Terri and her friends fly 2234 miles to Spain for college. It takes them 9 hours to get there.
How many miles did they travel per hour? Show your thinking.
Answer:
approximately 248 miles per hour if we are taking average speed
Step-by-step explanation:
How do you find the area of an acute triangle without height?
The area of the triangle is equal to the squareroot of 10(10-5)(10-7)(10-8), which is equal to 24.
The area of an acute triangle without height can be calculated using Heron's Formula. Heron's Formula states that the area of a triangle is equal to the squareroot of s(s-a)(s-b)(s-c) where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the three sides.
To find the area, first calculate the semi-perimeter of the triangle. The semi-perimeter is equal to one-half the sum of the three sides. For example, if the lengths of the three sides of a triangle are 5, 7, and 8, the semi-perimeter is equal to 5 + 7 + 8 divided by 2, which is equal to 10.
Next, plug the values into Heron's Formula. Using the same triangle as an example, the area of the triangle is equal to the squareroot of 10(10-5)(10-7)(10-8), which is equal to 24.
Finally, calculate the area of the triangle by taking the square root of 24, which is equal to 4.9. Therefore, the area of the triangle is 4.9 square units.
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A rectangle has an area of 16x + 24. What could the length and width of the rectangle be
The length and width of the rectangle will be 2 and 8x + 12
Area of rectangle = 16x + 24.
A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.
A rectangle's area is found by multiplying its length and width together, so:
Area = length x width
Calculating the length and width of the rectangle -
Factoring out 2 from the equation -
Therefore -
2 (8x+12)
Since, the area is the length times width, thus -
2 x (8x+12)
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The price of a notebook has risen to $3.80 today. Yesterday's price was $3.30 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
The percentage increase in the price of the notebook is 15%.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Finding the increase in the price of the notebook:
$3.80 - $3.30 = $0.50
Dividing the increase by the original amount:
0.50 / 3.30 = 0.1515
To change to a percent multiply by 100 and round off to significant numbers:
0.1515 *100 = 15.15% or, 15%.
Thus, the percentage increase in the price of the notebook is 15%.
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3. How many groups 1/2 of days are in 1 week?
groups
The length of an object in feet is equal to 3 times it's length in yards. The length of the boat is 36 feet. Write and solve a multiplication equation to find the length of the boat in yards
In linear equation ,The length of waterslide is 12 yards.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given that,
The length of an object object in feet is equal to 3 times it’s length in yards
The length of wall water side slide is 36 feet
Let "y" be the length of object in yards
From given,
Length in feet = 3 times length in yards
36 = 3 * y
3y = 36
y = 36/3
y = 12
Thus length of waterslide is 12 yards.
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A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shares. Which inequality represents the maximum cost of each pair, s, the coach can buy
7. Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each
hour. For how many hours will the total cost for each plumber be the same? How much will that
cost be? If a customer thinks they will need a plumber for 5 hours, which plumber should the
customer hire? Explain.
The total cost will be $480.
What is an Equations?
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) symbol. It demonstrates how the expressions written on the left and right sides are equivalent. Equations can be solved to find the value of a variable that represents an unknown quantity. If there is no "equal to" symbol in a sentence, it is not an equation. It will be viewed as a phrase.
There should be two equations
For Plumber A = 60x
For Plumber B = 40 + 55x
Now in order to consider the cost to be the same we equate these two equations
60x = 40 + 55x
5x = 40
x = 8 hours
And, the total cost for plumber B is
= 40 + 55(8)
= 480
Hence, The total cost will be $480.
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Select perpendicular lines from the given pair of lines :
Select one:
a.
y = − 3x + 7, y = 3x + 11
b.
y = 3x + 7, y = x / 3 + 11
c.
y = − 3x + 7, y = x / 3 + 11
d.
y = − 3x + 7, y = − x / 3 + 11
Answer:
The line pairs that are pendicular are shown in option c.
c. y = − 3x + 7, y = x / 3 + 11
Step-by-step explanation:
Perpendicular lines have slopes that are the negative inverse of each other. For example, a line with slope of 5 would have a line perpendicular to it if the second line has a slope of -(1/5) [the negative inverse of +5].
Cmpare the slopes of each pair of linear equations:
a. -3 and 3 The negative inverse of -3 would be (1/3), not 3. These lines are not perpendicular.
b. 3 and (1/3). The negative inverse of 3 would be -(1/3), not (1/3). These lines are not perpendicular.
c. -3 and (1/3). The negative inverse of -3 would be (1/3). These lines are perpendicular.
d. -3 and (-1/3). The negative inverse of - 3 would be (1/3). These lines are not perpendicular.
For this exponential function,
what is the output value (y)
when the input value (x) is 2?
y = 4.2x
(2, [?])
Enter
The final statement is: y=16
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The exponential function y=4×2ˣ
Therefore for x=2 we get
y=4×2²
y=16
Hence, The value of y at x equal to 2 is 16
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A ball was dropped from a height of 150 cm. The rebound factor of the ball is
0. 8. About how high, in centimeters, did the ball go after the third bounce?
A. 77
B. 96
C. 234
D. 293
the ball go after the third bounce is 77 centimeters when A ball was dropped from a height of 150 cm. The rebound factor of the ball is
0. 8.
In math, height is defined as the vertical distance from the top to the object's base. Occasionally, it is labeled as 'altitude'. The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry
based on the given information
A ball was dropped from a height of 150 cm.
The rebound factor of the ball is 0.8
Evaluate the ball go after the third bounce is given by
150* 0.8 ^3= 77
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Explain why the initial value of any function of the form
f(x) = a(b*) is equal to a.
The formula becomes a times 1, which is merely a, when you swap out 0 for the exponent x. This is so because 1 equals any number raised to the power of 0. The value of a will always be the initial value for any function with this form since the initial value is the function's value with an input of 0.
How do you determine F's starting value?By looking for an equation's constant, one can also locate initial values. Graph functions benefit from understanding the y-intercept.
Any number that is multiplied by 0 equals 1.
A number is equal to a number multiplied by 1.
The value of a multiplied by one will equal its starting value.
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What is the coefficient of X²Y in the product 7x² 5y X² 3y )? *?
The coefficient of the expression X²Y in the product 7x² 5y X² 3y is 35.
7x² 5y X² 3y
= 7x² X² (5y 3y)
= 7x² X² (2y)
= 7x² X² 2y
= 14x² 2y
= 28xy
= 35
The given expression is 7x² 5y X² 3y. This can be rearranged as 7x² X² (5y 3y). This is equal to 7x² X² (2y). This can further be rearranged as 7x² X² 2y. This is equal to 14x² 2y. This can be further rearranged as 28xy. This is equal to 35. Therefore, the coefficient of X²Y in the product 7x² 5y X² 3y is 35.
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In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 8 times out of 10 attempts. tasha has hit the ball 9 times out of 12 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.75 < 0.8 tasha, because she has the highest ratio since 48 over 60 is greater than 45 over 60 jana, because she has the lowest ratio since 0.75 < 0.8 jana, because she has the highest ratio since 48 over 60 is greater than 45 over 60
Answer: Jana
Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60
I did the test