Mary's expected payback based on the information illustrated is 0.865. This isn't a fair game.
How to calculate the probability?Based on the information, the chances of Donna winning will be 1/2.
It was also stated that each day Donna and Mary toss a coin to see who buys the other person coffee ($1.73 a cup).
Therefore, Mary's expected payback will be:
= (0 × 1/2) + (1.73 × 1/2)
= 0 + 0.865
= 0.865.
Therefore, Mary's expected payback based on the information illustrated is 0.865. This isn't a fair game.
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evaluate this please
Answer: the answer is 1/16
If a patient is prescribed 0.8 µg per kilogram every 12 hours and the patient weight is 92 kg how much medication should a patient be given.
The patient of 92 kg of weight should be given 73.6 µg of prescribed medication every 12 hours .
Unitary method is a method of finding a single unit value from multiple unit values and multiple unit values from a single unit value.For convenience, we always write what we want to calculate on the right and what we know on the left. In a uniform way, we are given the values of many things. First we must obtain one value by division, then we must obtain the value of more or less by multiplication.It is given that a patient is prescribed 0.8 µg per kilogram every 12 hours
Using unitary method , we get
1 kg of body needs = 0.8 µg of medication
92 kg of body needs = 0.8 × 92
= 73.6 µg of medication
Dose required in 12 hours = 73.6 µg of medication
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P and Q are points on the line 3y - 4x = 12 a) Complete the coordinates of P and Q. P (0, )) Q (,0) b) Plot points P and Q on the graph. Use the tool to plot the coordinates. c) Draw the line 3y - 4x = 12 for values of x from -3 to 3. -3-2 8 7 6 5 4 3 2 4 O -1 X
a) The coordinates of P and Q are; P = (0 , 4) , Q = ( -3 , 0).
b) The graph of points P and Q is plotted.
c) The line 3y - 4x = 12 for values of x from -3 to 3 is drawn.
What is defined as the coordinates?Coordinates are numerical distances or angles that uniquely defines points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, researchers, and engineers use a variety of coordinate schemes.The equation of line is given as;
3 y - 4 x = 12
a) To calculate the coordinates on the line are P and Q.
Let x = 0
3 y - 4 × 0 = 12
3 y + 0 = 12
y = 4
So, points P = (0 , 4)
Now, For y = 0;
3 × 0 - 4 × x = 12
0 - 4 × x = 12
x = - 3
So, points Q = ( -3 , 0)
Thus, points are P = (0 , 4) , Q = ( -3 , 0)
b) points P and Q on the graph.
The graph of the points P and Q for the coordinates of P = (0 , 4) , Q = ( -3 , 0) is plotted.
c) Draw the line 3y - 4x = 12 for values of x from -3 to 3.
The straight line for the values of x are drawn.
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Divide: (4d2 + 2d - 3) ÷ (d - 7)
The quotient of the division (4d² + 2d - 3) ÷ (d - 7) is 4d + 30 and remainder is 207.
What is the Long Division?Dividing one polynomial by the other is very similar to dividing one number by the other.
The steps for dividing polynomials using long method are as follows:
Arrange the polynomial indices in descending order. Substitute 0 for the missing term(s).Divide the dividend's first term (the polynomial to also be divided) by the divisor's first term. This yields the quotient's first term.Multiply this same divisor by the quotient's first term.Subtract the dividend from the product, then reduce the next term. The difference between this term and the next is the new dividend. Keep in mind the rule of subtraction: "change the sign of a subtrahend before proceeding to addition."Steps 2–4 must be repeated to determine the second term of a quotient.Repeat the procedure till a remainder is acquired. This can be zero or a number with a lower index than that of the divisor.For the given question;
Dividend = 4d² + 2d - 3
Divisor = d - 7
Divide dividend by divisor.
= ( 4d² + 2d - 3)/(d -3)
The quotient will come as 4d + 30.
Remainder = 207.
Thus, 4d² + 2d - 3 is not completed divisible by d - 3.
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2. How many new seniors will know the winner of the homecoming
king election on the fourth day? Explain your reasoning
Using an exponential function, it is found that 48 new seniors will know the winner of the homecoming king election on the fourth day.
What is the missing information?For this problem, we have that:
On the first day, 3 people know the result of the election.Each people tell the result to two more people, then each of these people tell to two more, and so on.What is an exponential function?An exponential function is modeled as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.For this problem, the parameters are given as follows:
a = 3, as three people know about the result on the first day.b = 2, as each people tells the result to two more people, who tell to two more, and so on.Hence the number of seniors that know the result on day x is given by:
[tex]y(x) = 3(2)^x[/tex]
On day 4, the amount is:
y = 3 x 2^4 = 3 x 16 = 48.
48 new seniors will know the winner of the homecoming king election on the fourth day.
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cuales son las caracteristicas de las "diferencias de cuadrados perfectos'
It should be noted that the the characteristics of perfect square trinomial include:
A perfect square trinomial is a special polynomial consisting of three terms.
A perfect square trinomial is created by multiplying a binomial to itself.
Two of the terms in a perfect trinomial are perfect squares.
They can be used to solve quadratics by completing the square
What is a perfect square trinomial?It should be noted that a perfect square trinomial is an algebraic expression that is of the form ax² + bx + c, that has three terms.
It should be noted that it is obtained by the multiplication of a binomial with itself.
For example, it should be noted that x² + 6x + 9 is a perfect square polynomial that is obtained by multiplying the binomial (x + 3) by itself.
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What are the characteristics of perfect square trinomial
A 56-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece,
find the lengths of all three pieces?
The lengths of the 3 parts of the board x,y,z would be 7 inch, 14 inch, and 35 inch.
What exactly is proportion?A proportion is a mathematical equation that is predicated on the equality of two parameters.A proportion is a calculation that can be solved; a proportion is two ratios that are set equal to each other.Once I say that such a proportion is 2 ratios that really are equal to the other, I imply two fractions that really are equal to each other.If 3 pieces of 56 in. board have been cut into the ratio x: y: z,
The second piece y equals 2x and,
The third piece z equals 5x.
Now calculate the value of x:
x + y + z = 56
x + 2x + 5x = 5
8x = 56
x = 7 inches
Then, 2nd piece;
2x = 2(7)
2nd piece = 14 inches.
Now, the 3rd piece;
5x = 5(7)
3rd piece = 35 inches.
As a result, the lengths of the 3 parts x,y,z are 7 inches, 14 inches, and 35 inches, respectively.
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Which expression represents “5 more than the difference of 15 and 7”?
The expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.
How to illustrate the information?It should be noted that an expression is used to show the relationship that exists between the variables that are illustrated.
In this case, it should be noted that we wat to know the expression that represents “5 more than the difference of 15 and 7.
This will be:
= (15 - 7) + 5
= 13.
Therefore, the expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.
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What two numbers are 3 away from -2 on the number line? Write the two answers in the space provided.
Answer:
-5, 1
Step-by-step explanation:
For every [tex]a[/tex] and [tex]x[/tex], the two numbers that are [tex]x[/tex] away from [tex]a[/tex] are [tex]a - x[/tex] and [tex]a + x[/tex].
Therefore, the two numbers that are 3 away from -2 are [tex]-2 - 3 = -5[/tex] and [tex]-2 + 3 = 1[/tex]
What is the greatest common factor of 24 and 8
Answer:
8
Step-by-step explanation:
hope i help
Answer:
8 is the gcf
welcome
Classwork: Multiply, Add, and Subtract Polyno
Math 3
Find the sum.
(3y² + y³ - 5) + (4y²-4y + 2y³ + 8)
If the interior angles formed by a transversal line of two distance lines are ____ than the two lines are parallel
Answer:
El chapo so that your mean
What is the next number
7, 11, 2, 18, -7, ?
K
If your car gets 30 miles per gallon, how much does it cost to drive 320 miles when gasoline costs $2.80 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
How can the statement be rewritten as a conditional statement in if-then form?
A rectangle with 4 congruent sides is a square.
If a rectangle has 4 congruent sides, then it is a square.
If a figure has 4 congruent sides, then it is a square.
If a figure has 4 congruent sides, then it is a rectangle or square.
If a figure is a rectangle, then it is a square.
The statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.
What is conditional statement ?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.
Given:
The conditional statement is A rectangle with 4 congruent sides is a square.
According to given question we have
The conditional statement is given as A rectangle with 4 congruent sides is a square.
The counterexample must satisfy the hypothesis of the conditional statement.
So, '' If a rectangle has 4 congruent sides, then it is a square.''
Therefore, the statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.
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Answer: A
Step-by-step explanation:
i took it
I would appreciate the help please!!
The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: {lowest or highest} point on the curve.
Thanks in advance!
The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: the x-intercepts are 3 and 4
The vertex is the lowest point on the curve
we know that
The equation of a vertical parabola in vertex form is equal to
y = a [tex](x-h)^{2}[/tex] + k
where
(h,k) is the vertex of the parabola
if a>0 -----> then the parabola opens upward (a vertex is a minimum)
if a<0 -----> then the parabola opens downward (a vertex is a maximum)
In this problem we have
y = [tex]x^{2}[/tex] - 7x +12
a = 1
so
the parabola opens upward (a vertex is a minimum)
Find the x-intercepts of the quadratic equation
Equate the equation to zero
y = [tex]x^{2}[/tex] - 7x +12
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]x^{2}[/tex] - 7x = -12
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex]x^{2}[/tex] - 7x + 12.25 = -12 + 12.25
[tex]x^{2}[/tex] - 7x + 12.25 = 0.25
Rewrite as perfect squares
[tex](x-3.5)^{2}[/tex] = 0.25
square root on both sides
(x - 3.5) = (+/-) 0.5
x =3.5(+/-) 0.5
x = 3.5+0.5=4
x = 3.5-0.5=3
therefore
the x-intercepts are 3 and 4
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a variety of seemingly unrelated mathematical descriptions, all of which may be shown to define the same curves.
One definition of a parabola includes a line and some extent (the focus) (the directrix). The directrix isn't the main focus. The locus of points therein plane that is equally spaced apart from the directrix and the focus is known as the parabola. A right circular conical surface and a plane parallel to a different plane that is tangential to the conical surface intersect to form a parabola, which is additionally known as a conic section.
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Write the numbers in order from greatest to least. 15491, 15076, 15096, 15620
Answer:15620, 15491, 15096, 15076
Step-by-step explanation:
-3 -2 -1 0 1 2 3 4 How can you find the length of CD
Number line
Answer:
3
Step-by-step explanation:
Because C is 1 and D is 4, so 4-1=3.
Which one is not a linear equation?
Choose the correct answer below.
A. 0.05x-0.09x = 0.50
B. 4x+9x = 12x
C. 8x^2-5x+2=0
D. 5x + 4(x-1) = - 4x
Answer:
C. 8x^2-5x+2=0
Step-by-step explanation:
The answer is Option C because it can only be solved by quadratic formula
Cuanto es:
5/6 x 2 =
Porfa es para una tarea
Answer: 1.66
For next time you can use calculator
Answer:
1.666
Step-by-step explanation:
5/6 × 2=5/3
=1.6666...
or you can use your calculator
can someone help it only 2 qestions 20 points
= 0.45
= 9/20
= (9 x 10)/(20 x 10)
= 90/200
1/2= (1 x 100)/(2 x 100)
= 100/200
0.045= 9/200
Descending order: 100/200, 90/200, 9/200 1/2, 45%, 0.04514)125%= 1.25
= 5/4
1 1/2= 3/2
1.26= 63/50
Descending order: 3/2 > 63/50 > 5/4 1 1/2 > 1.26 > 125%a vacuum cleaner dealership sold 360 units in 2011 and 347 units in 2012 .
The number of units sold decreased and it decreased by
%decrese =4.23%
This is further explained below.
What percent did it decrease or increase?Generally, the equation for is mathematically given as
Number of sold 450 units in 2011
431 units in 2012
No of Sold units decrease, so the Percentage decreased.
[tex]\% \text { decrease } &=\frac{450-431}{450} \times 100 \\\\&=\frac{19}{450} \times 100 \\[/tex]
=4.23%
In conclusion, the percentage decrease is
%decrese =4.23%
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CQ
A vacuum cleaner dealership sold 450 units in 2011 and 431 units in 2012. Find the percent increase or decrease in the number of units sold.
Did the number of units sold decrease or increase?
What percent did it it decrease or increase?
Simplify
5^3
5^7
leaving your answer in index form.
5x5=25 , 25x5= 125.
5x5=25, 25x5= 125, 125x5=625, 625x5=3125, 3125x5=15625, 15625x5= 78125.
Answer:
5^10
Step-by-step explanation:
When multiplying exponents with the same base, we add the exponents
5^3 * 5^7
5^(3+7)
5^10
what is equal to 7 whole in fractions
Answer:
[tex]\frac{7}{1}[/tex]
Step-by-step explanation:
Answer:
7/1
Step-by-step explanation:
hope this helps♡
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equation which can be used to solve for y, the length of the room according to the task content are;
y (y -5) = 750y² - 5y = 750.(y + 25)(y – 30) = 0.Which equations can be used to solve for y, the length of the room?According to the task content, the equations which can be used to solve for y, the length of the room according to the task content is to be determined.
Since the width of the room is 5 feet less than the length of the room.
Therefore, length = y and width = (y -5).
The area of the rectangle is therefore;
y (y -5) = 750
Therefore, the required equations are; 750 - y(y-5) = 0.
Or; y² - 5y = 750.
Or; (y + 25)(y – 30) = 0.
Therefore, the equation which can be used to solve for y, the length of the room according to the task content are;
y (y -5) = 750y² - 5y = 750.(y + 25)(y – 30) = 0.Read more on area of a rectangle;
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slope = 2; (-1,4)
Gghhhgggggghgehwjwjwjwjwjwjw
The slope intercept form is given as y = 2x + 6
The general expression for slope intercept form is given as:
y = mx + c
where, m = slope
c = intercept
The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :
[tex](y-y_{1}) = m(x-x_{1})[/tex] (1)
where ([tex]x_{1} , y_{1})[/tex] = the coordinates of a point
m = slope of the line
putting the required values in equation (1) we get
(y - 4) = 2(x- (-1))
(y - 4) = 2(x+1) [As (-)*(-) = +]
y - 4 = 2x + 2
y = 2x + 2 + 4
y = 2x + 6
Thus the slope intercept form is y = 2x + 6
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Complete the model to find -9 + 9 Show your work
write the expression in exponentail form 9 × 9 × 9 × 9 × 9 × 9 × 9
Answer:
9^7
Step-by-step explanation:
9 to the 7th power
NAW I NEED MORE HELP PLEASE
Answer:
-4
Step-by-step explanation:
We can use the slope formula: [tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
this formula is really just representing: [tex]\frac{\Delta y}{\Delta x}\\[/tex] or in other words, change in y/change in x
The slope formula is calculating that difference by subtracting the y and x-values.
By just looking at the tables we can easily see that from x=6 to x=8 there is a change in 2
and from y=-16 to y=-24 there is a change in -8
So plugging this into the slope formula we get [tex]\frac{-8}{2}=-4[/tex]
Write a piecewise
function that represents
the total cost y (in
dollars) of ordering
x custom shirts. Then
interpret the domain
and range of the
function. Determine
the total cost of
ordering 26 shirts.
The cost of ordering 26 shirts will be 430.8 dollars.
What is a piecewise function ?As the name suggest piecewise a piecewise function behaves differently for different domains or we can say that a function which has different parts.
According to the question given we have to write piecewise functions for ordering custom shirts.
Here y is the cost in dollars and x is the no. of shirts and also given that a 20 dollar processing fee is need for all orders and it is our constant in the function.
For 0 to 24 shirts or when 0<x≤24 and x ∈ N.
f(x) = 17x + 20.
∴Domain of the function is (0,24] and range of the given function is [37,428]
For 25 to 49 shirts or when 25≤x≤29 and x ∈ N.
f(x) = 15.80x + 20.
∴ Domain of this function is [25,49] and range of the function is [415,794.2].
For 50+ shirts or when x≥50 and x ∈ N.
f(x) = 14x + 20.
∴ Domain of this function is [50,∞) and range of this function is [720,∞].
Now we have to determine the total cost of ordering 26 shirts for this we'll use f(x) = 15.80x + 20 because 26 lies in the domain of this function.
∴ f(x) = 15.80x + 20 for x = 26 it will be
f(26) = 430.8 dollars.
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