Answer:
-5/8
Step-by-step explanation:
-7/8 = -0.875
-5/8 = -0.625
The closer the negative number is to 0, the bigger that number.
-0.625 is closer to 0 than -0.875
So, -5/8 is bigger.
A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.
We are are 95% confident that the true proportion of wins using the new strategy will be between 0.1812 and 0.242895 in first simulation and between 0.1948 and 0.2732 in second simulation.
A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.
A 95% confidence interval gives us a range of values that we are 95% confident contains the true proportion of wins that the new game strategy will produce in the long run. To construct the confidence interval for each simulation, we can use the following formula:
CI = p ± 1.96 * sqrt(p * (1 - p) / n)
where p is the sample proportion of wins, n is the number of trials, and 1.96 is the z-score corresponding to a 95% confidence level.
For the first simulation, p = 212 / 1000 = 0.212 and n = 1000, so the confidence interval is:
CI = 0.212 ± 1.96 * sqrt(0.212 * (1 - 0.212) / 1000)
CI = (0.1812, 0.2428)
This means that we are 95% confident that the true proportion of wins using the new strategy will be between 0.1812 and 0.2428.
For the second simulation, p = 235 / 1000 = 0.235 and n = 1000, so the confidence interval is:
CI = 0.235 ± 1.96 * sqrt(0.235 * (1 - 0.235) / 1000)
CI = (0.1948, 0.2732)
This means that we are 95% confident that the true proportion of wins using the new strategy will be between 0.1948 and 0.2732.
In general, larger sample sizes lead to narrower confidence intervals. In this case, both confidence intervals overlap, indicating that the two simulations are consistent with each other. This gives us additional confidence in the estimated proportion of wins using the new strategy.
To know more on confidence intervals
https://brainly.com/question/24131141
#SPJ4
Answer:
the confidence interval for the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.
Step-by-step explanation:
got it right on the test :)
Bella works at a popular clothing store. Last winter, her manager asked her to track the
store's sweater sales. This box plot shows the results.
Price of sweaters sold ($)
30
40
50
60
What fraction of the sweaters cost $50 or less?
80
Answer:
Answer is 1/2. Box plot is split into quarters. So 1/4 + 1/4 = 1/2
Please help I can’t do this
The four consecutive numbers which adds to give 130, are 31, 32, 33, 34
What are consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Given that, there are four consecutive numbers which adds to give 130,
According to the definition of consecutive numbers, we add 1 to each previous integer to get the successive integer,
Therefore, let us consider x, x+1, x+2, x+3 be the four consecutive numbers,
Therefore,
x+x+1+x+2+x+3 = 130
4x + 6 = 130
4x = 124
x = 31
Therefore, the required consecutive integers are, 31, 32, 33, 34
Hence, the four consecutive numbers which adds to give 130, are 31, 32, 33, 34
Learn more about consecutive numbers, click;
https://brainly.com/question/29775116
#SPJ1
After the reflection of about X-axis,if the image of a point P is P’(-x,-y), in which quadrant does P lie and what is its coordinates?
The original coordinates are P(-x, y), and it is on the second quadrant.
In which quadrant does P lie and what is its coordinates?Remember that for a general point (a, b), a reflection about the x-axis changes the sign of the y-component, so we will get the image (a, -b)
Here we know that the image after the refection is P' = (-x, -y), then the coordinates of point P are (-x, y)
If we assume both x and y to be positive, then point P would be on the second quadrant.
Learn more about reflections at:
https://brainly.com/question/4289712
#SPJ1
composite figure is shown. Which of the following represents the total area of the figure?
The total area of the composite figure can be found to be 24. 52 cm ²
How to find the total area ?First, find the area of the first triangle :
= 1 / 2 x base x height
= 1 / 2 x 3 x 2. 7
= 4. 05 cm ²
The area of the second triangle :
= 1 / 2 x 3 . 4 x ( 6. 8 - 2 . 7 )
= 6. 97 cm ²
Then the area of the rectangle :
= 5 x 2. 7
= 13. 5 cm ²
The total area of the composite shape is :
= 13.5 + 6.97 + 4. 05
= 24. 52 cm ²
Find out more on area at https://brainly.com/question/25292087
#SPJ1
select all of the options below that represent a continuous relationship
A. answers the number of problems in each of your homework assignments
B. The speed of an airplane during the flight from Los Angeles to New York
C. The temperature of an apple pie during the time it spends in the oven.
D. The number of pumpkins your family carves every year for Halloween.
E. is the first graph
F. is the second graph
The temperature of an apple pie during the time it spends in the oven shows the continuous relationship.
What is continuous function?In mathematics, a continuous function is a function that does not have discontinuities that means any unexpected changes in value. A function is continuous if we can ensure arbitrarily small changes by restricting enough minor changes in its input.
A function f(x) is said to be a continuous function in calculus at a point x = a if the curve of the function does NOT break at the point x = a.
A continuous function, on the other hand, is a function that can take on any number within a certain interval. For example, if at one point, a continuous function is 1 and 2 at another point, then this continuous function will definitely be 1.5 at yet another point.
Therefore, option C and E are the correct answers.
Learn more about the continuous function here:
https://brainly.com/question/30501770.
#SPJ1
Complete the table for this triangle
Answer:
[tex]\sin A=\frac{a}{b}[/tex]
[tex]\cos A=\frac{c}{b}[/tex]
[tex]\tan A=\frac{a}{c}[/tex]
[tex]\csc A=\frac{b}{a}[/tex]
[tex]\sec A=\frac{b}{c}[/tex]
[tex]\cot A=\frac{c}{a}[/tex]
Step-by-step explanation:
Here are the definitions of the trig functions listed in the picture
[tex]\sin x=\frac{O}{H}[/tex]
[tex]\cos x=\frac{A}{H}[/tex]
[tex]\tan x=\frac{O}{A}[/tex]
[tex]\csc x=\frac{H}{O}[/tex]
[tex]\sec x=\frac{H}{A}[/tex]
[tex]\cot x=\frac{A}{O}[/tex]
Note:
[tex]A[/tex] = side adjacent to angle
[tex]O[/tex] = side opposite to angle
[tex]H[/tex] = hypotenuse
All 6 questions are about angle A.
The side adjacent to angle A is side c.
The side opposite to angle A is side a.
The hypotenuse is side b.
Therefore we can write
[tex]A=c\\O=a\\H=b[/tex]
Knowing that we can fill out the table.
[tex]\sin A=\frac{a}{b}[/tex]
[tex]\cos A=\frac{c}{b}[/tex]
[tex]\tan A=\frac{a}{c}[/tex]
[tex]\csc A=\frac{b}{a}[/tex]
[tex]\sec A=\frac{b}{c}[/tex]
[tex]\cot A=\frac{c}{a}[/tex]
Learn more about the 6 trig functions here
https://brainly.com/question/2680050
a frequency distribution usually has equal bin widths. T/F
A frequency distribution usually has equal bin widths is the true statement.
All the line charts are not used for the purpose of cross-sectional data. A scatter plot is very useful in this process of visualizing trends over time. A scatter plot essentially requires two quantitative variables (i.e., not categorical data).
The difference of the maximum and minimum values is divided by the number of bins.
1. Identify the maximum and minimum values of the quantitative data.
2. Subtract the minimum value from the maximum value to get the difference
3. Divide the difference by the number of bins to get the approximate width of each bin
The width of the bins in a frequency distribution of quantitative data can be estimated by dividing the difference between the maximum and minimum values of the data by the desired number of bins. This will provide an approximate size for each bin, that can then be used to construct the frequency distribution.
Learn more about frequency distribution
brainly.com/question/14926605
#SPJ4
Solve for x
Plea help me
Answer:
x ≈ 73.4°
Step-by-step explanation:
using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{23}{24}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{23}{24}[/tex] ) ≈ 73.4° ( to the nearest tenth )
Keith needs to buy some pencils. Brand A has a pack of 24 pencils for $8.77. Brand B has a pack of 26 pencils for $9.84.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the Brand A pencils:
Unit price for the Brand B pencils:
The better buy:
O Brand A
O Brand B
for each pencil
$for each pencil
Neither (They have the same unit price)
The brand that is the better buy based on their unit price is; Brand A
How to find the Unit Price?A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts.
It is also referred to as a product's average price which is the result of dividing the product's total sales revenue by the total units sold.
Thus;
Unit price of Brand A = 8.77/24 =$0.365 per pencil
Unit price of Brand B = 9.84/26 = $0.378 per pencil
The cheaper one is the better buy which is Brand A.
Read more about Unit Price at; https://brainly.com/question/14286952
#SPJ1
Hello can someone please help HHHHHHHEEEEELLLLLPPPPP
The value of m∠J in the triangle is 65°
How to find the value of m∠J in the triangle?
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
We have triangle HIJ and m∠H = (4x + 1)°, m∠I = (2x-6)° and m∠J = (6x-7)°.
Since the sum of angle in a triangle is 180°. We can say:
m∠H + m∠I + m∠J = 180°
(4x + 1)° + (2x-6)° + (6x-7)° = 180°
4x + 1 + 2x-6 + 6x-7 = 180
12x - 12 = 180
12x = 180 + 12
12x = 192
x = 192/12
x = 16
To find m∠J = (6x-7)°, put x = 12 into m∠J = (6x-7)°. That:
m∠J = 6(12) - 7
m∠J = 72 - 7
m∠J = 65°
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ1
Which angle is formed by a secant and tangent line?ANGA) GSEB) EGSC) NGL
In the image line segment SE is the tangent. The secant line making an angle with tangent line SE is NS. So the angle is ∠GSE. So option B is the correct answer.
Tangent is a line which intersect with only a single point on the curve. The point where the line meets is the point of tangency. Tangent line is always perpendicular to the radius drawn to the point of tangency. Here the tangent line is SE, point of tangency is S.
Secant lines are the lines which passes through two points of a curve. A chord drawn to the circle is a secant line. Here there are two secant lines NS and NA. Here only NS makes an angle with the tangent line.
So the angle made by a tangent and secant line is ∠GSE.
For more information regarding tangent and secant lines, kindly refer
https://brainly.com/question/30162653
#SPJ4
The image for the question is attached below.
Each month, a phone company charges $35 for 600 minutes of talk time
plus $0.35 for each additional minute. Unlimited texting costs $20 more.
Write an expression to show the cost of a talk-and-texting plan for one
month, given x minutes over 600.
The requried expression that describes the cost of a talk-and-texting plan for one month, given x minutes over 600 is 35 + 0.35(x) + 20.
What are equation models?The expression model is described as the model of the given situation in the form of an equation using variables and constants.
here,
The cost of a talk-and-texting plan for one month can be expressed as:
= 35 + 0.35(x) + 20
where x is the number of minutes over the 600 minutes included in the plan. The first two terms represent the cost of talk time, while the last term represents the cost of unlimited texting.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ9
5. y=-2² + 12x - 15
a=-2
b=12
11
·2
NO NEED FOR HELP ON QUESTION 5 and 7
The axis of symmetry, vertex, domain, and range of each of the quadratic function are as follows;
Axis of symmetry = 3.
Vertex = (3, 3).
Domain = {-∞, ∞}.
Range = {-∞, 3}.
Axis of symmetry = 4.
Vertex = (4, -2).
Domain = {-∞, ∞}.
Range = {-2, ∞}.
How to calculate the axis of symmetry of a quadratic function?Mathematically, the axis of symmetry (vertex) of a quadratic function can be calculated by using this mathematical expression:
Axis of symmetry (vertex), Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
Note: The domain of a quadratic function (parabola) is always all real numbers on the x-axis of a cartesian coordinate.
For the given quadratic function y = -2x² + 12x - 15, we have:
Axis of symmetry (vertex), Xmax = -b/2a
Axis of symmetry (vertex), Xmax = -12/2(-2)
Axis of symmetry (vertex), Xmax = -12/-4 = 3.
Vertex (h, k) = (3, 3).
Domain = {-∞, ∞} or x ∈ R.
Range = {-∞, 3}.
x y
1 2
1 4
3 3
For the given quadratic function y = 2x² - 16x + 30, we have:
Axis of symmetry (vertex), Xmax = -b/2a
Axis of symmetry (vertex), Xmax = -(-16)/2(2)
Axis of symmetry (vertex), Xmax = 16/4 = 4.
Vertex (h, k) = (4, -2).
Domain = {-∞, ∞} or x ∈ R.
Range = {-2, ∞}.
x y
3 0
5 0
4 -2
Read more on quadratic function here: brainly.com/question/13159926
#SPJ1
A
65°
Reflex Angle B =
degrees.
The measure of angle B is given as follows:
<B = 295º.
How to obtain the measure of angle B?Angles A and B in the context of this problem are reflex angles, meaning that the sum of their measures is of 360º.
The measures are given as follows:
<A = 65º.<B is unknown.Hence the measure of angle B is obtained as follows:
65 + <B = 360
<B = 360 - 65
<B = 295º.
More can be learned about angle measures at https://brainly.com/question/30598024
#SPJ1
When a 7-ohm resistor is connected in a parallel circuit with a resistance of
x ohms, the total resistance R (in ohms) is given by:
R = 7/7/2
7+1
Find the resistance x (in ohms) that results in a total resistance of 6 ohms.
You may complete the work on your student work document. Type the final answer in the space below.
You must show work to receive full credit.
on solving the provided question we can say that for parallel combination, the equation will be 1/R = 1/R1 + 1/R2.
What is equation?A mathematical equation is a formula that links two assertions and signifies equivalence with the equals sign (=). In algebra, a mathematical statement that proves the equality of two mathematical expressions is referred to as an equation. The equal sign, for instance, separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14. There is a mathematical formula that explains the link between the two phrases that appear on either side of a letter. Frequently, the symbol and the single variable are the same. like in 2x - 4 = 2, for example.
we have,
Total Resistance (R) = 1.403 kilo-ohm.
R1 = 2.0 Kilo-ohm.
1.403 kilo-ohm = 1403 ohm.
for parallel combination, the equation will be
1/R = 1/R1 + 1/R2
[tex]1/1403 = 1/2000 + 1/ R2\\.1/1043 - 1/2000 = R2\\2000 - 1403 / 1403 x 2000 = 1/R2\\597/ 1403 x 2000 = 1/R2\\R2 = 1403 x 2000 / 597 = 2806000 / 597 = 4700.16\\R2 = 4700.16 ohm[/tex]
103 ohm = 1 kilo-ohm => 4700 ohm = 4.7 kilo-ohm
so, R2 = 4.7 kilo-ohm.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Solve the L.P.P graphically- Maximize z=y-2x subject to x-y >=2 ,x + y<=4 , x>=0 ,y>=0
Answer: 8y=2h
Step-by-step explanation: you have to subtract the first 2 numbers then add the others and then add letters and boom
Help me please!! T^T
The length of line FG is 16 units
How to find length of FGThe length of FG is equal to length GH that is to say
line FG = line GH
From the problem, we have that
FG = x + 11
GH = 3x + 1
Equation both lines
x + 11 = 3x + 1
collecting like terms
11 - 1 = 3x - 1
10 = 2x
rearranging and isolating x
2x = 10
x = 5
The line FG = x + 11 = 5 + 11 = 16 units
Learn more about length of line at:
https://brainly.com/question/24778489
#SPJ1
Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation
can
be used to find the number of tickets sold in advance?
800+8
100
• 35+8 4.375
100+8 12.5
800+8 100
35x8
280
800 x8 6400
35x8 280
O 100x8 800
The equation which represents the number of tickets sold in advance is 0.35 × 800
Which equation can be used to find the number of tickets sold in advance?Total tickets sold for a play = 800
Percentage of tickets sold in advance= 35%
Number of tickets sold in advance= Percentage of tickets sold in advance × Total tickets sold for a play
= 35% × 800
= 0.35 × 800
= 280 tickets
In conclusion, 280 tickets were sold in advance.
Read more on percentage:
https://brainly.com/question/843074
#SPJ1
Question 2 (2 points)
If (63, x, 105) form a Pythagorean Triple, what is the value of x?
If (63, x, 105) generate a Pythagorean Triple, the value of x is 84.
Before starting to solve this problem we must know that the Pythagorean theorem is a theorem that realizes the sides of a right triangle and has many applications for it.
A Pythagorean Triple is a set of three integers that satisfy the Pythagorean Theorem, [tex]a^2 + b^2 = c^2[/tex]. In this case, 63 and 105 are two sides of a right triangle, and x is the third side. We can plug in the values and solve for x:
63² + x² = 105²
3969 + x² = 11025
x² = 7056
x = √7056
x = 84
Therefore, the value of x is 84, and the Pythagorean Triple is (63, 84, 105).
See more about Pythagorean Triple at https://brainly.com/question/16036846.
#SPJ11
Write an equation for the table.
Pls help!
Answer:
y = -3x + 10
where y = Value and x = Position
or
Value = - 3(Position) + 10
Step-by-step explanation:
We can determine a linear equation for this table in slope-intercept form
The slope intercept form of a linear equation is
y = mx + b
y is referred to as the dependent variable and x the independent variable
Here m is the slope which is the rate of change of y with respect to x
b = y-intercept which is the value of y when x = 0
For the given table it appears that the value is dependent on the position
So the independent variable, let's call it x, is position
The dependent variable, y, is value
Plugging values of x, y into the generalized equation
y = mx + b
At x(position) = 1, we get y = 7
==> 7 = m(1) + b
==> 7 = m + b
== m + b = 7 ............................. (1)
At x = 3, y = 1
==> 1 = m(3) + b
==> 1 = 3m + b
==> 3m + b = 1 ..............................(2)
If we subtract equation 1 from equation (2) we get
(3m + b) - (m + b) = 1 - 7
3m - m + b - b = -6
2m + 0 = -6
2m = -6
m = -6/2 = -3
So we now know m = -3 we can write the equation as
y = -3m + b
To find b, plug in any value of x and corresponding y from the table and solve for b. remember that x is position and y is value
Let's choose the last entry x = 9, y = -17
Plugging these into y = -3x + b gives
-17 = -3(9) + b
-17 = -27 + b
Switch sides:
- 27 + b = -17
Add 27 to both sides:
- 27 + 27 + b = -17 + 27
b = 10
So the equation for the table is
y = - 3x + 10
or in terms of the table
Value = - 3(Position) + 10
You can check this is correct by choosing a value for position from the table and seeing the equation value is consistent with the given value
Create a large coordinate graph on graph paper
and graph the triangle at right. Multiply the
y-coordinate of each point by 4. Then graph the
new shape. Make sure you connect your points.
List the points for the new shape. Are the two
figures similar? Why or why not?
The two figures (i.e. triangles) are similar triangles
How to determine if the triangles are trianglesLet's create a triangle with the following coordinates:
A = (0, 0)
B = (3, 0)
C = (0, 4)
To get the new coordinates, we need to multiply the y-coordinate of each point by 4:
A' = (0, 0 * 4)
B' = (3, 0 * 4)
C' = (0, 4 * 4)
So the new points are:
A' = (0, 0)
B' = (3, 0)
C' = (0, 16)
To determine if the two figures are similar, we need to check if they have the same shape but different sizes.
Specifically, the new triangle is four times larger in the vertical direction but has the same shape and angles as the original triangle.
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
Find the sum of interior angles for the polygon below:
Answer:
The polygon has 8 sides, so the sum of its interior angles is 1080 degrees. Each interior angle is equal to 135 degrees
the interior angle of a regular polygon is equal to the total number of its sides minus two, multiplied by 180 degrees divided by the number of sides. For example, in a regular polygon with 8 sides, one interior angle would equal 1080 degrees (8 - 2) x 180/8 = 1080.
Select the graph of y = csc x.
Graph of y = cosec x is attached below.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Given function,
y = cosecx
when x = (π/2)
y = cosec (π/2)
y = 1
when x = π
y = cosec π
y = ∞
when x = 3π/2
y = cosec 3π/2
y = -1
By the calculation, graph of y = cosecx is drawn as follows.
Hence, graph of y = cosecx is attached below.
Learn more about trigonometric ratio here:
https://brainly.com/question/25122825
#SPJ1
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Answer:
Step-by-step explanation:
The best estimate of the speed Morris is traveling will be 48 miles per hour.
What is conversion?
Conversion means to convert the same thing into different units.
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha.
We know that 1 mile = 5,280 feet.
Then convert the feet per second to miles per hour. Then the speed of the Morries will be
⇒ 3 feet / 1 second
⇒ (3 / 5285) miles / (1 / 3600) hour
⇒ (3 / 5285) x (3600)
⇒ 2 miles per hour
Then the best estimate of the speed Morris is traveling will be
⇒ 50 - 2
⇒ 48 miles per hour
The best estimate of the speed Morris is traveling will be 48 miles per hour.
Find the missing angle measurement.
?
OA) 3 degrees
OB) 13 degrees
OC) 23 degrees
OD) 90 degrees
67°
Answer:
23 degrees
Step-by-step explanation:
Sum of interior angles in a triangle = 180°
∴Sum of interior angles in the right- angled triangle in the question:
67° + 90° + ? = 180°
= ? = 180° - 90° - 67°
∴ ? = Missing angle measurement = 23°
= 23 degrees
PLEASE ANSWER
!!!!!!!!
The measure of angle X is given as follows:
40º.
How to obtain the value of x?We have two secants in this problem, and point C is the intersection of the two secants, hence the angle measure of x is half the difference between the angle measure of the largest arc by the angle measure of the smallest arc.
The arc angles are given as follows:
125º and 45º.
Hence the value of x is given as follows:
X = 0.5 x (125 - 45)
x = 40º.
More can be learned about angle measures at brainly.com/question/30820033
#SPJ1
Carol buys a house for £2349000
she pays a 10% deposit
work out the amount of deposit paid by carol
Carol pays a 10% deposit, it means the amount of deposit she pays is £234,900.
To work out the amount of deposit paid by Carol, we need to find 10% of the house price. We can do this by multiplying the house price by 10/100 or 0.10.
Here are the steps to find the amount of deposit paid by Carol:
1. Start with the house price: £2349000
2. Multiply by 0.10 to find 10% of the house price: £2,349,000 x 0.10 = £234,900
3. The amount of deposit paid by Carol is £234,900.
So, the answer is £234,900.
Learn more about deposit here:
https://brainly.com/question/25787382
#SPJ11
There were 65 tickets sold for the school play the total cost of the tickets was $390 how much did each ticket cost
Answer: $6
Step-by-step explanation:
Divide $390 by 65 to find $6 per ticket.
Answer:
$6
Step-by-step explanation:
$390/65=6
Mark collects Pokémon cards. He recently bought 24 cards to add to his collection. He decided to give of all of his cards to his little brother. If he gave a total of 15 cards to his brother, which equation best represents the situation?
A- 1/6c + 15 = 24
B- 1/6 + 24c=15
C- 1/6 (c + 24) = 15
D- 1/6c + 24=15
The required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.
How to use the concept of the equation model?The concept of the equation model is a fundamental part of mathematics, and it is used in a wide range of applications. Here are some ways in which the equation model is used,
1. Solving equations 2. Modeling real-world situations 3.Understanding relationships between variables.
here,
According to the question let the Pokémon cards Mark intially had be c,
So as per the given condition, Mark has c + 24 card and he gives 1/6 of his card to his little brother, which is 15 cards
The equation model of the situation is given as,
1/6(c + 24) = 15
Thus, the required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ9