Leon's annual premium is x
dollars. If he pays his
premium semi-annually,
there is a y-dollar surcharge
on each semi-annual
payment. Express the
amount of his semi-annual
payment algebraically.

Answers

Answer 1

The algebraic expression for the payment of the plan with y dollar surge is A = x/2 + y.

What are algebraic expressions?

The concept of algebraic expressions is the use of letters or alphabets to represent numerical values without stating their exact meanings. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Given that the annual premium plan is x dollars.

The payment is made semi-annually this is represented as follows:

x/2

There is a surplus charge of y, this is written as:

A = x/2 + y

Hence, the algebraic expression for the payment is A = x/2 + y.

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Related Questions

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

Below

Step-by-step explanation:

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What is the maximum number of comparisons in a bubble sort if there are 5 elements in the array?

Answers

The maximum number of comparisons in a bubble sort if there are 5 elements in the array = 10

Bubble Sort is the simplest sorting algorithm that works by repeatedly swapping the adjacent elements if they are in the wrong order. This algorithm is not suitable for large data sets as its average and worst-case time complexity is quite high.

Due to its simplicity, bubble sort is often used to introduce the concept of a sorting algorithm.

In computer graphics, it is popular for its capability to detect a tiny error (like a swap of just two elements) in almost-sorted arrays and fix it with just linear

complexity (2n).

Example: It is used in a polygon filling algorithm, where bounding lines are sorted by their x coordinate at a specific scan line (a line parallel to the x-axis), and with incrementing y their order changes (two elements are swapped) only at intersections of two lines

Calculating total number of comparison required to sort the array

= (n-1) + (n-2) +  (n-3) + . . . 2 + 1

= (n-1)*(n-1+1)/2  { by using sum of N natural Number formula }

= n (n-1)/2    

= 5(4)/2

=20/2

=10

The maximum number of comparisons in a bubble sort if there are 5 elements in the array = 10

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PLEASE HELP IM GOING TO GET IN SO MUCH TROUBLE


Freshman and sophomores were surveyed during lunch about their favorite professional football team.

A bar graph with the first bar labeled Jaguars, divided into freshmen from 0 to 40 percent and sophomores from 40 to 100 percent. The second bar is labeled Dolphins, with freshman from 0 to 45 percent and sophomores from 45 to 100 percent, and the third bar is labeled Buccaneers, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent.

If 140 students selected Jaguars, how many of those students are freshman?

56 students
63 students
77 students
84 students

Answers

Answer:

63 students.

Step-by-step explanation:

if it helps, pls like and comments

Answer:

63 students

Step-by-step explanation:

Which of the following is not equal to .01?
10-2
1%
1/10
one one-hundredth

Answers

The number 1/10 is not equal to the 0.01.

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 equivalent number is,

⇒ 0.01

Now, We will check all the expression as;

1) 10⁻²

⇒ 1/10²

⇒ 1/100

⇒ 0.01

2) 1%

⇒ 1/100

⇒ 0.01

3) 1/10

⇒ 0.1

4) One hundredth

⇒ 1/100

⇒ 0.01

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Simplify help asap pleaseeeeer I need help asap

Answers

1. The value of -5.1m + 2.3m is -2.8m.

2. The value of 3/5y + (-6/5y) is -3/5y

3. The value of 3.1n + 1.5 - 1.1n - 2.9 is 2n - 1.4

4. The value of -2.6c - 0.8 - 2.8c + 3.4 is 5.4c + 2.6.

5. The value of -3x - 2.6y + 1.2 + 1.2x - 4.7 is -1.8x - 2.6y - 3.5

6. The value of -4/22t - 5/22t + 15 + (-5) is -9/22t + 10.

7. The expression equivalent to -2.3v + (-4.2) + 8.8 + (-3.2v) is -5.5v + 4.6.

8. The expression equivalent to 3/14x + (-1) + (-4) - 2/7x is -1/14x - 5.

How to explain the expression?

It should be noted that expression is used to show the relationship that the variables have in a data or based on the question given.

Here, the value of -5.1m + 2.3m is will be:

= -5.1m + 2.3m

= -2.8m.

The value of 3/5y + (-6/5y) is:

= 3/5y + (-6/5y) is:

= 3/5y - 6/5y) is:

= -3/5y

The value of 3.1n + 1.5 - 1.1n - 2.9 is:

= 2n - 1.4

The value of -2.6c - 0.8 - 2.8c + 3.4 is:

= -2.6c - 0.8 - 2.8c + 3.4

= -5.4c + 2.6

The value of -3x - 2.6y + 1.2 + 1.2x - 4.7 is:

= -3x - 2.6y + 1.2 + 1.2x - 4.7

= -1.8x - 2.6y - 3.5

The value of -4/22t - 5/22t + 15 + (-5) is:

= -4/22t - 5/22t + 15 + (-5)

= - 9/22t + 10

The expression equivalent to -2.3v + (-4.2) + 8.8 + (-3.2v) is:

= -2.3v + (-4.2) + 8.8 + (-3.2v)

= -5.5v + 4.6

The expression equivalent to 3/14x + (-1) + (-4) - 2/7x is:

= 3/14x + (-1) + (-4) - 2/7x:

= - 1/14x - 5

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A card is selected from a standard deck of cards, noted, and then without replacing the first card a second card is selected from the deck. What is the probability that both cards will be red cards

Answers

The probability that both cards will be red cards is P(A⋅B) = 25/102

What is probability?

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.

The first event, random drawing of a red card (event A), has a sample space of an entire deck with 52 different elementary events occurring with equal probabilities of 1/52. Out of them only 26 events are "good" (that is, the card we randomly pick is red). Therefore, the probability of picking a red card equals to

P(A) = 26/52

P(A) = 1/2.

The second event, random drawing of a red card from a deck of only 51 remaining cards (event B), is dependent on the results of the first event. If the first event (event A) occurs (red card is drawn), the deck for the second drawing contains 25 red and 26 black cards and the conditional probability of picking red card is

P(B/A) = 25/51.

Now we can use the concept of conditional probability and a formula that describes the probability of a combined event through the probability of one and conditional probability of another:

P(A⋅B) = P(A) * P(B/A)

In our case P(A) = 1/2 and P(B/A) = 25/51

Therefore,

P(A⋅B) = (1/2) * (25/51)

P(A⋅B) =25/102

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Look at this table: x/ -9 -8 -7 -6 -5 y/ -71 -63 -55 -47 -39 write a linear (y = mx + b), quadratic (y = ax^2), or exponential (y = a(b) ^x) function that models the data.

Answers

The data represents the linear equation.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

We have the table:

x → y

-9 →  -71

-8 → -63

-7 → -55

-6 →  -47

-5 →  -39

To prove that the data represents in the tables are from the linear equation:

If a first difference of the table of values shows a constant rate of change,

then the function is a linear equation.

So,

y₂-y₁ = -63 + 71 = 8

y₃ - y₂ = -55 + 63 = 8

y₄ - y₃ = -47 + 55 = 8

y₅ - y₄ = -39 + 47 = 8

Here, 8 is the constant rate of change.

So, the data represents the linear equation.

Therefore, the data represents the linear equation.

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Charlie makes 6 quarts of a cleaning solution. The solution is 3 4 water and 1 4 soap mixture. The soap mixture is 1 2 liquid soap and 1 2 vinegar. How many quarts of liquid soap does Charlie use to make the cleaning solution?

Answers

The amount in quarts of liquid soap that Charlie use to make the cleaning solution is 3/4 quarts

How to find the amount of liquid soap used by Charlie

From the problem we have the following information

Charlie makes 6 quarts of a cleaning solution

The solution is 3/4 water and 1/4 soap mixture

The soap mixture is 1/2 liquid soap and 1/2 vinegar

The soap mixture is 1/4 of the solution, and the solution is 6 quarts

= 1/4 * 6

= 3/2 quarts

The liquid soap is 1/2 soap mixture which is solved to be 3/2 quarts

= 1/2 * 3*2

= 3/4 quarts

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equation in point-slope form of the line that
passes through the given point and has the given
slope. (2, 1) m = -6

Answers

Answer:

y - 1 = -6( x - 2)

Step-by-step explanation:

(2,1)  The x is 2 and the y is 1.

70.50 - 45.50 + 0.15x - 0.09x =

Answers

Therefore , the value of the given problem of linear equation comes out to be  x = -250.

Define a linear equation.

In algebra, a mathematical model is just one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since x and y are variables, the previous sentence is frequently referred to as a "mathematical expression with 2 variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many different situations. Once an issue has the formula y=mx+b, where m denotes the slope and b the y-intercept, it is said to be linear.

Here,

Given : 70.50 - 45.50 + 0.15x - 0.09x =0

To find the value of x,

Thus,

We do : 70.50 - 45.50 + 0.15x - 0.09x =0

=> 15 + 0.06x =0

=> 6/100 *x = -15

=> 6x = -1500

=> x = -1500/6

=> x = -250

Therefore , the value of the given problem of linear equation comes out to be  x = -250.

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Which statement defines the horizontal asymptote?
m < n, so y = 0 is the horizontal asymptote.
m = n, so y = am / bn is the horizontal asymptote.
m = n, so y = 0 is the horizontal asymptote.
m > n, so there is no horizontal asymptote.

Answers

The horizontal asymptote is y = 0 because m = n. A function's graph has a line known as a horizontal asymptote.

A horizontal asymptote is a line that the graph of a function approaches as x tends to either positive or negative infinity. If the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote of the function is the line y = a/b, whereThe leading coefficients in the denominator and numerator, respectively, are a and b. Therefore, if m = n, then the horizontal asymptote is y = a/b, which reduces to y = 0.

The statement that defines the horizontal asymptote is that if m = n, then the horizontal asymptote is y = 0.

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i cannot figure this one out for the life of me, please help its due tmrw, 100 points.

Answers

sorry bro i don't know the answer

X
-2
-1
0
1
2
f(x)
34 323
334
6
12
Which exponential function is represented by the
values in the table?
f(x) = 3(2x)
Of(x) = 2(2)
Of(x) = 3(3)
Of(x) = 2(3*)

Answers

The data in a table indicate the exponential function f(x) = 3(2)x.The formula for an exponential function is: y = abx, where y and x are variables .

what is Exponential function ?

A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base. If your function has the formula y = a b x, where and are constants, a 0 and b > 0 and b 1, then it must be exponential. Your functions in quadratic equations were always to the second power. The exponent of exponential functions is a variable.

given

From the table, at point (0, 3):

3 = ab°  , a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The data in a table indicate the exponential function f(x) = 3(2)x.

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26
Date:
The height of a building is 145 feet (ft).
Round the height of the building to the
nearest tens place.

_________ft

Answers

Answer:

140 feet.

Step-by-step explanation:

Hope its correct and it helps!

What does the fundamental theorem of algebra state about the equation 2x 2 â 4x 16 0?

Answers

The fundamental theorem of algebra states that every polynomial equation of degree n, where n is a positive integer, has at least one root in the complex number system.

The Fundamental Theorem of Algebra states that any polynomial equation of degree n, with real or complex coefficients, has at least one root (real or complex).

In the case of the equation 2x^2 - 4x + 16 = 0, the Fundamental Theorem of Algebra implies that there is at least one real or complex root. In fact, this equation has two real roots: x=4 and x=-2.

This theorem provides an important foundation for many branches of mathematics, as it proves that solutions to equations exist.

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Nisrin and Sawin are making a string of beads for the School day. The
string already has 70 beads. If there are only 30 more days until school day and
they want to string 1000 beads by then, at least how many beads do they have to
string each day?

Answers

According to the word problem states that they must string at least 31 beads per day.

What is a mathematical word problem ?

Math word problems require students to apply their arithmetic abilities in a "real-life" setting and are mathematical questions that are described in one or more sentences. Kids must therefore be familiar with the vocabulary associated with the mathematical symbols they are used to in order to comprehend the word problem.

According to the given information:

given the string's existing 70 beads They intend to string 1000 beads by both the start of class in just 30 more days.

The minimal number of beads that must be strung each day is calculated by dividing the remaining beads by the number of days:

The quantity of beads needed to reach 1000 = 1000 - 70 = 930

Now, putting the values,

= (1000 - 70)/30

= 930/30

= 31

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what is -7y+2=-75
Can you please explain this to me.

Answers

Answer:

y = 11

Step-by-step explanation:

It is just an equation with one variable ( 'y') which you can solve

-7y + 2 = - 75     subtract 2 from both sides of the equation

-7y = -77             divide both sides by -7

y = 11  

Answer:

-7y+2=-75

-7y=-75-2

-7y=-77

y=11

In the following addition problem, the letter A represents a digit. What digit does the letter A represent so that the following problem is true?

Answers

The digit which the letter A represents as required in the task content so that the given problem is true is; 5.

What digit does the letter A represent in the given addition exercise.

As evident in the task content; it follows that the digit which the letter A represents in the given task content is to be determined.

On this note, first, 47 can be subtracted from 137 so that we have;

137 - 47 = 90.

On this note, it can be inferred that;

A A + 3 A = 90

Therefore, by using the place value concept, it follows that we have;

( 10 × A ) + ( 1 × A ) + ( 3 × 10 ) + ( 1 × A ) = 90

10A + A + 30 + A = 90

12A = 90 - 30

12A = 60

A = 5.

On this note, the letter A as represented in the task content represents the digit; 5.

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A bike is on sale for 260 which is 35%off it’s original price what’s the original price

Answers

the orginal price is really "x", which oddly enough is the 100%, but we also know that 260 is 35% off that, so 260 is really 100% - 35% = 65% of the original price, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 260& 65 \end{array} \implies \cfrac{x}{260}~~=~~\cfrac{100}{65} \\\\\\ \cfrac{ x }{ 260 } ~~=~~ \cfrac{ 20 }{ 13 }\implies 13x=5200\implies x=\cfrac{5200}{13}\implies x=400[/tex]

kendra is drawing a rectangle. the length will be 4 inches, and the area will be at least 12 square inches. let x represent the width of the rectangle. which inequality describes the problem?

Answers

The length should be x ≥ 3 inch and 4x ≥ 12 square inches.

What is linear inequality?

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression. Polynomial inequality, rational inequality, and absolute value inequality are the various kinds of mathematical inequalities.

Given a rectangle, length  = 4 inches

area is at least 12 square inches

inequality equation for area

A ≥ 12

area  = l x b

where l = length = 4 inches and b = breadth = x

A ≥ 12

4x ≥ 12

x ≥ 3 inches

Hence the breadth should be x ≥ 3 inches and equation of area is

4x ≥ 12 square inches.

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four positive whole numbers add up to 93
One of the numbers is a multiple of 19
the other three numbers are equal

write the four numbers in ascending order

Answers

Answer: 12...12...12...57

What is the result when the number 89 is decreased by 9.6%?

Answers

Answer:

80.456 is a 9.6% decrease of 89.

Step-by-step explanation:

Answer:

Step-by-step explanation:

 89×(1-9.6%)

=89×(1-0.096)

=89×0.904

=80.456

≈80

the answer is 80 if you have to round it.

graph the equation
-2x+9 < 5x-12

Answers

Answer: x > 3

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

−2x+9−5x<5x−12−5x

−7x+9<−12

Step 2: Subtract 9 from both sides.

−7x+9−9<−12−9

−7x<−21

Step 3: Divide both sides by -7.

−7x/−7 < −21/−7

x > 3

On a line graph it would look like this:

Which is the graph of fix) = 3√x?
↑x

Answers

The graph is attached in the solution.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, a function f(x) = 3√x

Let x = 0,

f(0) = 3√0 = 0

Let x = 1,

f(1) = 3√1 = 3

Let x = 2

f(2) = 3√2 = 4.24

Plotting the graph, we get, (attached)

Hence, the answer is the graph attached to the solution.

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If you want the diagonal, d, to be at least 41. 5 inches, what would be a possible length, width, and height for the box?.

Answers

The length, width, and height of the box is 23 inches, 24 inches, and 25 inches.

The desired length of the diagonal of the box d 41.5 inches

The length of the box = l

The width of the box = w

The height of the box = h

The formula for the diagonal of the box, obtained using the  Pythagorean Theorem is:

                                     d = [tex]\sqrt[]{l^{2}+w^{2}+h^{2} }[/tex]

So, the square of the diagonal of the box, ≥ 41.5² = 1722.25

                                     [tex]d^{2} = l^{2} + w^{2} + h^{2}[/tex]

                                   l² + w² + h² ≥ 1722.25

Since,20² = 400

21² = 441

22² = 484

23² = 529

24² = 576

25² = 625

26² = 676

27² = 729

Hence, 23² + 24² + 25² = 1730 > 1722.25

20² + 20² + 27² = 1529 < 1722.25

21² + 24² + 26² = 1693 < 1722.25

20² + 21² + 26² = 1517 < 1722.25

So, the box's possible length is 23 inches.

                                      width is 24 inches.

                             and height is 25 inches.

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solve the differential equation by variation of parameters. y'' + 3y' + 2y = sin(ex)

Answers

The solution for the give differential equation is y = c1e⁻ˣ+c2e⁻²ˣ·e⁻ˣsineˣ-[e⁻ˣ+e⁻²ˣ]coseˣ

What is a differential equation?

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable

Given that, solve the differential equation by variation of parameters. y'' + 3y' + 2y = sineˣ

AE = m²+3m+2 = 0

Where, m1 = -1, m2 = -2

CF = y = c1e⁻ˣ+c2e⁻²ˣ

PI = y1 = eˣ and y2 = e⁻²ˣ

W = -e⁻³ˣ

W1 = -e⁻²ˣsineˣ

W2 = e⁻ˣsineˣ

u'1 = W1/W = eˣsineˣ;

u1 = ∫eˣsineˣ dx = ∫sint dt [put t = eˣ]

= -cost = -coseˣ

Similary,

u'2 = W2/W =  -e²ˣsineˣ;

u2 = -∫e²ˣcoseˣ dx = -∫tcost dt [put t = eˣ]

= -(tsint+cost) = -(eˣsineˣ+coseˣ)

PI: y = u1y1 + u2y2 = e⁻ˣ[-coseˣ] + e²ˣ[-(eˣsineˣ+coseˣ)]

= -e⁻ˣsineˣ-[e⁻ˣ+e⁻²ˣ]cose²ˣ

Hence, the complete solution is y = c1e⁻ˣ+c2e⁻²ˣ·e⁻ˣsineˣ-[e⁻ˣ+e⁻²ˣ]coseˣ

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What is the exact value of tan (startfraction 5 pi over 8 endfraction)?

Answers

After solving, the exact value of tan5π/8 = -2.425

In the given question we have to find the exact value of tan5π/8.

The angles and sides of a right-angle triangle are measured using these trigonometric values. Cotangent, secant, and cosecant are the other three significant values in addition to sine, cosine, and tangent.

To find the value of tan5π/8 we simplify the values.

Rephrase 5π/8 as the angle divided by two where the values of the six trigonometric functions are known.

tan5π/8 = tan[(5π/4)/2]

Now applying the tangent half-angle identity.

tan5π/8 = ±√[{1-cos(5π/4)}/{1+cos(5π/4)}]

The tangent is negative in the second quadrant, so change the ± to -.

tan5π/8 = -√[{1-cos(5π/4)}/{1+cos(5π/4)}]

We know the value of cos(5π/4) = -1/√2

Now putting the value

tan5π/8 = -√[{1-(-1/√2)}/{1+(-1/√2)}]

tan5π/8 = -√[{1+1/√2}/{1-1/√2}]

tan5π/8 = -√[{√2+1}/√2/{√2-1}/√2]

tan5π/8 = -√(√2+1)/(√2-1)

As we know that, √2 = 1.41. So

tan5π/8 = -√(1.41+1)/(1.41-1)

tan5π/8 = -√(2.41)/(0.41)

tan5π/8 = -√5.88

tan5π/8 = -2.425

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The exact value of tan (5π/8) is 1.7320508076.

The exact value of tan (5π/8) can be calculated using the tangent of a sum formula. The formula states that tangent of (A+B) can be calculated by the formula:

tan(A+B) = (tan A + tan B) / (1 - tan A tan B).

Therefore, we can calculate the tan (5π/8) as follows:

tan (5π/8) = tan (3π/4 + π/8)

           = (tan (3π/4) + tan (π/8)) / (1 - tan (3π/4) tan (π/8))

           = (√2 + 0.3826834) / (1 - √2 * 0.3826834)

           = 1.7320508076

Therefore, the exact value of tan (5π/8) is 1.7320508076.

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identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 64

Answers

Refer to the image attached.

Prof Plum's class has a mean of 75.6 and a standard deviation of 25.75.
Prof Scarlett's class has a mean of 77.5 and a standard deviation of 11.83.
Prof Plum's class:
What percentile would be a raw score of 69 be?
P=39.74%
What percentile would a raw score of 100 be?
P=82.89%
What percentage of students received a score 70 or above?
P=58.71%
What percentage of students received a score 80 or above?
P=43.25%
What are the raw scores that bound the middle 95% of distribution?
21.13 and 126.07
What percentage of scores are below 100?
P=82.89
What raw score has 99% below it?
135.6
What percentage of scores are between 90 and 110?
P=19.76%
What percentage of scores are between 60 and 80?
P= 29.66%
Prof Scarlett's class:
What percentile would be a raw score of 69 be?
P=23.58%
What percentile would a raw score of 100 be?
P=97.13%
What percentage of students received a score 70 or above?
P=73.57%
What percentage of students received a score 80 or above?
P=41.68%
What are the raw scores that bound the middle 95% of distribution?
54.31 and 100.69
What percentage of scores are below 100?
P=97.13%
What raw score has 99% below it?
105.06
What percentage of scores are between 90 and 110?
P=14.16%
What percentage of scores are between 60 and 80?
P=51.38%
B. Please answer the below problems by computing the Z scores and indicating who did better?
1. Two friends are taking statistics courses this semester and wanted to compare who was doing best. Gabriel was taking statistics with Prof. Scarlett, whereas Michael was taking statistics with Prof. Plum. Gabriel got 85 on the first exam whereas Michael got a 88. Who got a better grade? Indicate their relative percentiles.
2. Aviva and Catherine both got a 93 on the first statistics exam. Aviva is in Prof. Plumes class, whereas Catherine is in Prof. Scarlett's class. Who received the better grade? Indicate their relative percentiles.
3. Leslie and Sam both got a 71 on the first statistics exam. Sam is in Prof. Plumes class, whereas Leslie is in Prof. Scarlett's class. Who received the better grade? Indicate their relative percentiles.

Answers

1. Michael is a better grader.

2. Catherine received the better grader.

3. Sam received the better grader.

THE GRADE RANK CALCULATION

Gabriel got a 85, which corresponds to a Z-score of -0.36 in Prof. Scarlett's class. Michael got a 88, which corresponds to a Z-score of 0.32 in Prof. Plum's class. Gabriel's grade corresponds to the 73.57th percentile, and Michael's grade corresponds to the 74.29th percentile. Michael got a slightly better grade, as he scored higher on the exam and his Z-score is higher.Aviva got a 93, which corresponds to a Z-score of 1.26 in Prof. Plum's class. Catherine got a 93, which corresponds to a Z-score of 1.96 in Prof. Scarlett's class. Aviva's grade corresponds to the 84.29th percentile and Catherine's grade corresponds to the 97.13th percentile. Catherine received a better grade as her Z-score and percentile is higher.Leslie got a 71, which corresponds to a Z-score of -0.99 in Prof. Scarlett's class. Sam got a 71, which corresponds to a Z-score of -0.58 in Prof. Plum's class. Leslie's grade corresponds to the 23.58th percentile, and Sam's grade corresponds to the 41.29th percentile. Sam received a better grade as his Z-score and percentile is higher.

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The expression 62.4d-21062.4d−21062, point, 4, d, minus, 210 gives the number of Indian rupees you receive when you exchange \$d$ddollar sign, d at the local currency exchange.
How many Indian rupees do you receive when you exchange \$13$13dollar sign, 13?

Answers

The Indian rupees do you receive when you exchange $13 will be 601.2 rupees.

How to calculate the number of rupees?

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The expression 62.4d-210 gives the number of Indian rupees you receive when you exchange dollar d at the local currency exchange.

The Indian rupees do you receive when you exchange $13 will be:

= 62.4d - 210

= 62.4(13) - 210

= 601.2 rupees

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