20% tip.. and the total bill is $35.60. So you would find 20% of 35.60.
(Side note: "of" in these scenarios is always "x" or multiplication)
20% x 35.6
or 0.20 x 35.60
0.2 x 35.6 (make sure to move two decimal places after this)
356
x 2
------
712 The answer is 712--but you have to move two decimal places to the left. So that would be 7.12.
The answer is 7.12. :) he should leave $7.12 for the tip.
Just so you are able to do this in the future, here is an example problem.
___ leaves a tip of ___% off of 10 dollars.
Always multiply the ___% by the amount the person is paying (10 dollars)
If the tip is 10%, then the decimal would be 0.10 (or 0.1, same thing). If the tip is 9%, then the decimal would be 0.09. Let's say the tip is 10%.
0.10 x 10 = $1.00
They would leave a tip of 1 dollar.
Hope that helps!
xx
How far off the coast to the nearest foot is the island. (Pic included)
Answer:
1420 feet
Step-by-step explanation:
You want the distance to an island when the angle of elevation to a helicopter 1150 ft above the island is 39°.
TangentThe tangent ratio is ...
Tan = Opposite/Adjacent
The unknown distance d is adjacent to the 39° angle of elevation to the helicopter, and the height of the helicopter is the opposite side. Using these values, we have ...
tan(39°) = (1150 ft)/d
d = (1150 ft)/tan(39°) ≈ 1420 ft
The distance to the island is 1420 feet.
__
Additional comment
The angle of elevation is the same as the angle of depression between the same two points.
Which expression gives the distance between the points (4, 6) and (7,-3)?
A. (4-7)2+(6-3)²
OB. (4-7)+(6-3)²
OC. √(4-7)+(6+3)²
OD. (4-7)²+(6+3)²
The expression gives the distance between the points (4, 6) and (7,-3) is [tex]\sqrt{( 4- 7)^{2} +( 6+3})^{2} }[/tex].
The correct option is Option C.
What is Distance Formula?The formula for measuring distance is [tex]\sqrt{( x_{2}- x_{1})^{2} +( y_{2}- y_{1})^{2} }[/tex]. Any two points in 2D space that have the coordinates (x₁, y₁) for the first point and (x₂, y₂) for the second point can be used in this way. The Euclidean distance formula is another name for the formula used to calculate the separation between two points on a two-dimensional plane.Given:
The points are (4, 6) and (7, -3) respectively.
Put points in the formula:
[tex]\sqrt{( x_{2}- x_{1})^{2} +( y_{2}- y_{1})^{2} }[/tex]
[tex]\sqrt{( 4- 7)^{2} +( 6- (-3))^{2} }[/tex]
[tex]\sqrt{( 4- 7)^{2} +( 6+3)^{2} }[/tex] , which is the required expression.
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Given that the focus of a parabola is (−3, −5/4) and the directrix is y=−3/4, what is the equation of the parabola? Please help me
The equation of parabola be (x + 3)² = 4(- 1/4)(y + 1), or (x + 3)² = - (y + 1).
What is meant by parabola?Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.
A parabola might be one of three different types. Vertex, standard, and intercept forms are the three types. A separate important characteristic for the graph is offered by each type.
The psychological curve of life, however, defies this natural law, defying it like the parabola of a projectile that rises after being disturbed from its initial condition of repose and then falls back to that state. On sometimes, disagreement appears even before the rise has really begun.
We have vertical parabola: (x - h)² = 4p(y-k)
Let (h, k) be the vertex.
2p = - 5/4 - (- 3/4) = - 1/2; p = - 1/4.
Now vertex exists (-3, - 5/4 + 1/4) = (- 3, - 1).
we get equation: (x + 3)² = 4(- 1/4)(y + 1), or (x + 3)² = - (y + 1).
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Determine which integer will make the inequality x − 4 < 16 true.
S:{16}
S:{20}
S:{21}
S:{32}
PLEASE HURRY ASAP
[tex]\it x-4 < 16 \bigg|_{+4}\Rightarrow x < 20 \Rightarrow x=16 \ is\ an\ integer\ suitable\ for \ this \ inequality[/tex]
Jon is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem?
A.
The poster has 2 equal angles.
B.
The poster has 2 sides of equal length.
C.
The poster has 4 sides of equal length.
D.
The poster has 4 equal angles.
The words and numbers are important in this problem are the poster has 2 sides of equal length.
What is an equal length?
Equal length sides indicate that they measure the same. In plain English, the sides of a shape that are equal in length are the sides of the shape. Congruent sides are also described as having equal lengths of each side.
Here, we have
Given: Jon is making a poster for safety awareness week. His poster has 2 sides of equal length.
We have to determine which math words and numbers are important in this problem.
We concluded from the given problem that the important words and numbers are the poster has 2 sides of equal length.
Hence, the words and numbers are important in this problem are the poster has 2 sides of equal length.
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Write an equivalent expression
1. -3(7+5g)
2. (X+7) + 3y
3. 2/9 - 1/5 × X
The equivalent expressions are:
1.
-21 - 15g
2.
x + 7 + 3y
3.
(10 - 9x)/45
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1.
-3 (7 + 5g)
= -3 x 7 + -3 x 5g
= -21 - 15g
2.
(x + 7) + 3y
= x + 7 + 3y
3.
2/9 - 1/5 × x
= 2/9 - (1/5)x
= (10 - 9x)/45
Thus,
The equivalent expression is given above.
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what is 1 5/6−3/4 in simplest form?
The mixed fraction and fraction expression 1 ⁵/₆ - 3/4 in the simplest form will be 13/12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 1 ⁵/₆ - 3/4
Convert the mixed fraction number into a fraction number. Then we have
⇒ 1 ⁵/₆ - 3/4
⇒ 11/6 - 3/4
⇒ (22 - 9) / 12
⇒ 13 / 12
The mixed fraction and fraction expression 1 ⁵/₆ - 3/4 in the simplest form will be 13/12.
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Circumcenter and incenter
I need help with this please help me
The length of DP in the diagram, where P is the triangle's circumcenter, is 15 units.
What is the Circumcenter of a Triangle?The point in the triangle where the perpendicular bisectors of its sides cross is known as the circumcenter.
The intersection of the perpendicular bisectors of a triangle's sides is referred to as the triangle's circumcenter. In other terms, the circumcenter is the point at where a triangle's sides intersect to form a bisector.
In the triangle given where P exists the circumcenter, we have:
AD = DB
Substitute the values in the above equation, we get
2x + 14 = 8x - 52
simplifying the above equation, we get
2x - 8x = -14 - 52
-6x = -66
x = 11
AD = 2x + 14
Plug in the value of x
AD = 2(11) + 14
simplifying the above equation, we get
AD = 36
Also, AP = BP = CP = 39
AP = 39
Considering right triangle, ADP, to find DP, apply the Pythagorean theorem:
DP = √(AP² - AD²)
substitute the values in the above equation, we get
DP = √(39² - 36²)
DP = 15 units.
Therefore, the length of DP in the diagram, where P is the triangle's circumcenter, is 15 units.
The complete question is:
If P is the circumcenter of triangle ABC, find each measure.
Find DP.
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A small town has two local high schools. High School A currently has 500 students
and is projected to grow by 55 students each year. High School B currently has 650
students and is projected to grow by 30 students each year. Let A represent the
number of students in High School A in t years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.
A =
Answer:
B =
A student's enrollment in High School A at time t is represented by the equation AA = 500 + 80tt.
High School B has 700 pupils at time t, hence the equation BB = 700 + 30tt represents the number of students at that time.
820 students would be enrolled if enrollment at both schools were equal.
When would the school have the same number of students?The formula used to calculate the enrollment in high school is given in Example A.
students currently enrolled plus (number of years x rate of increase)
AA = 500 + 80tt.
The following equation can be used to determine how many high school pupils are enrolled in B at time t:
students currently enrolled plus (number of years x rate of increase)
BB = 700 + 30tt.
The two equations are equivalent if and only if the schools have an equal number of students:
700 + 30tt = 500 + 80tt
700 - 500 = 80tt - 30tt
200 = 50tt
tt = 200 / 50
tt = 4
a population of 500 plus (80 x 4)
500 + 320 = 820
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The probability of landing on yellow is less than the probability of landing on blue is true. Hence, option 2 is the correct answer.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.
The probability of landing on different colors can be calculated by taking the ratio of colored section to the total number of sections.
The probability is thus as follows:
P (Orange) = 1/8
P (Purple) = 2/8
P(Blue) = 3/8
P(Yellow) = 2/8
From the probability we can observe that the statement, the probability of landing on yellow is less than the probability of landing on blue is true.
Hence, option 2 is the correct answer.
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Answer:Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on yellow.
can you help please
The value v of your quarters is a function of n the number of quarters you have
Explain the input-output diagram to represent this function
The function that represents The value v of your quarters is a function of n the number of quarters you have is v = n×x.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, The value 'v' of your quarters is a function of 'n' the number of quarters you have.
Therefore, the function 'v' in terms on 'n' can be represented as,
Let, the number of quarters be 'x'.
Therefore,
v = n×x.
Where v is the output and n and x are the inputs.
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Here is a list of numbers:
−
3
,
12
,
−
18
,
2
,
−
18
,
−
9
,
−
12
,
−
16
,
−
4
,
−
5
State the median.
10.5 is the median of the given dataset.
What is median?The median is a statistical measure that determines the middle value of a dataset listed in ascending order (i.e., from smallest to largest value). The measure divides the lower half from the higher half of the dataset. Along with mean and mode, the median is a measure of central tendency.
Given the List of numbers 3, 12, 18, 2, 18, 9, 12, 16, 4, 5
Sort from smallest to largest number
2, 3, 4, 5, 9, 12, 12, 16, 18, 18
The median is a statistical measure that determines the middle value of a dataset listed in ascending order (i.e., from smallest to largest value).
The middle values of the dataset are 9 and 12
thus median = (9+12)/2
Median = 10.5
Therefore, the median of the given dataset is 10.5.
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What is the domain and range of this relation?
The domain is the set of all real numbers and the range is:
R: y ≥ -3
What is the domain and range of the function?On the graph, we can see a quadratic function. Remember that the domain is the set of the possible inputs.
For a quadratic equation the domain is always the set of all real numbers (because quadratic equations is never undefined).
And the range is the set of the outputs, for this case the range will be the set of all the values larger than the y-value of the vertex.
The vertex is at (1, -3)
Then the range is:
R: y ≥ -3
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The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y > 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 A B J H
The points which represents a the solution are: A, C, D and K
What are coordinates?
Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.
The given inequalities: y ≤ −2x + 10 & y > 1/(2x − 2)
The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),
F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).
The attached figure represents the graph of the given inequalities.
The shaded area represents the solution of the inequalities.
So, the points lies in the shaded area represents the solution of the inequalities.
So, points A, C, D and K are a solution to the system of inequalities.
Note only if
If the given inequalities: y ≤ −2x + 10 & y > (1/2x) - 2
It will be the same solution.
Hence, The points A, C, D and K are a solution to the system of inequalities.
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14. Create the graph of the solution to this inequality.
≥b+9/5
If you have a system of linear equations, the solution for the system is the value that makes all of the equations true
How do you determine the graph of an inequality solution?Image search results for Make a graph showing the inequality’s solution. ≥b+9/5
Graphing a System of Linear Inequalities
Make a graph of the first inequality. Draw the border line.
Graph the second inequality on the same grid. Draw the border line.
The place where the shading overlaps is the solution.
Select a test point to verify.
Rearrange the equation so that one side corresponds to the graphed function.
Plot the function y= the opposite side of the equation.
To get the answers, draw vertical lines down to the x-axis from the junction spots.
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What could 180 ÷ 15 mean in this situation? Describe two different possible meanings of this expression. Then, find the quotient and explain what it means in each case.
The thing that 180/15 mean in this context is the price of one ticket.
The quotient based on the information is $12.
How to explain the quotient!The sixth-grade science club needs to raise $180 in order to visit a science museum. Since the price of each ticket is the same, the total sum of money required by the sixth-grade science club is 180, which is the dividend.
The number 15 serves as the divisor and represents the total amount of tickets required. The outcome of the division is the quotient. The ratio is $12. Therefore, the price of one ticket is the quotient.
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Complete question
A sixth grade science club needs $180 to pay for the tickets to a science museum. All the tickets cost the same amount. What could 180/15 mean in this context? Describe two interpretations of the expression. Then, find the quotient and explain what it means in each interpretation.
how do you start this? wouldn’t you just use f(x+h)-f(x)/h
a. You have to differentiate E(p) wrt p .
b and c . Put the value 5 and 35 in the derivative you obtained in part(a)
This not the complete answer .
which graph represents the solutions to this system of inequalities? x=5y≤10
The graph that represents the inequality 5y≤10 is plotted below.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The given inequality is 5y≤10.
In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.
So, the graph of inequality 5y≤10 will have a straight line.
Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -
5y = 10
5y = 0x + 10
Substituting the values of x and y with origin (0,0) -
5(0) = 0(0) + 10
0 = 10
Putting the inequality symbol back -
0 ≤ 10
Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.
On solving 5y = 10 -
y = 2
Hence the points of the inequality will be (0,2).
Therefore, the graph for the inequality 5y≤10 is plotted.
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Find a slope predictor function of the given function f(x). Then write an equation of the line tangent to the curve y=f(x) at the point x=2.
On solving the provided question, we can say that function of the given function f(x) = 1/(x+1) and f(x) = [tex]x^2 +3/x[/tex]; at, f(2) = 1/3 and 11/2
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
function of the given function f(x),
f(x) = 1/(x+1)
f(x) = [tex]x^2 +3/x[/tex]
so, we have point, x = 2
at, f(2) = 1/(2+1) = 1/3
f(2) = 4 + 3/2 = 11/2
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A box contains a large number of pens that are three colours: red, blue and green. The probability that a pen is faulty depends on its colour. The probability of a faulty red pen is 0.1. while the probability of faulty blue and green pens is 0.15 and 0.08, respectively. In the box, 35% of the pens is red in colour, 40% is blue in colour and the rest is green in colour.
(a) Draw the probability tree-diagram for this situation.
(b) Calculate the probability of obtaining a non-faulty pens.
(c) A pen is found to be faulty, what is the probability that it is a red pen?
(d) What is the probability of obtaining either a blue or green pen faulty?
Following are the probabilities based on the data -
Given,
The probability of faulty red pen is = 0.1
The probability of faulty blue pen is = 0.15
The probability of faulty green pen is = 0.08
In the box, 35% of the pens is red in colour,
40% is blue in colour
the rest is green in colour.
b) probability of obtaining a non-faulty pens = 1 - (0.1 + 0.15 + 0.08)
probability of obtaining a faulty pens = 0.33
probability of obtaining a non-faulty pens = 1 - 0.33
probability of obtaining a non-faulty pens = 0.67
c) A pen is found to be faulty, the probability that it is a red pen =
Using Bayes' theorem,
A = pen is found to be faulty
B = the probability that it is a red pen
P(A|B) = P(B|A).P(A) / P(B)
P(A|B) = 0.1 × 0.33 / 1/3
⇒ 0.1
So, The probability for above is 0.1.
d) probability of obtaining either a blue or green pen faulty = 0.15 + 0.08 = 0.23
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the sum of the digits in a two digit number is 10. the new number obtained when the digits are reserved is 18 more than the original number. Find the original number
Digits are 6 and 4, Original number is 46.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign = .
Given,
sum of the digits in a two digit number is 10.
Let a and b are the two digits
a + b = 10 -------(1)
New number obtained when the digits are reversed is 18 more than the original number
(10a + b) = (10b + a) + 18
9a - 9b = 18
9(a - b) = 18
a - b = 2 --------(2)
Adding equation (1) and (2)
a + b + a - b = 10 + 2
2a = 12
a = 6
then b = 10 - 6 = 4
The original number is 10b + a
= 40 + 6 = 46
Hence, 6 and 4 are the digits, 46 is the original number.
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The prices of two different-sized
bottles of laundry detergent are listed
below.
Laundry Detergent
$19.99 for 150-ounce bottle
$14.99 for 100-ounce bottle
Which expression represents the amount
of money, in dollars, saved by buying a
total of 600 ounces of laundry detergent
in 150-ounce bottles versus 100-ounce
bottles?
J 4(14.99) - 6(19.99)
K 6(14.99) - 4(19.99)
L (6-4) (19.99 - 14.99)
M [150 (19.99) - 100(14.99)] + 600
N [(150-100) (19.99 14.99)] + 600
-
The expression represents the amount of money, in dollars, saved by buying a total of 600 ounces of laundry detergent in 150-ounce bottles versus 100-ounce bottles is
4 x 19.99 - 6 x 14.99
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Price of two Laundry Detergent
$19.99 for a 150-ounce bottle
$14.99 for a 100-ounce bottle
Now,
Price of 600 ounces of the 150-ounce bottle.
We need four 150-ounce bottles to make 600 ounces.
= 4 x 19.99
Price of 600 ounces of the 100-ounce bottle.
We need six 100-ounce bottles to make 600 ounces.
= 6 x 14.99
Now,
The expression represents the amount of money, in dollars, saved.
4 x 19.99 - 6 x 14.99
Thus,
4 x 19.99 - 6 x 14.99 is the expression.
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At a certain school, the PTA and the planning board meet at the same time, so it is impossible for a parent to do both. If the probability that a parents is on the PTA is 0.17, and the probability that a parent is on the planning board is 0.27, what is the probability that a parent participates in the PTA or the planning board?
Answer: 0.44
Step-by-step explanation:
If the probability that someone does action A is a, and the probability that someone does action B is b, the probability that someone does action A or B is a+b.
So in this case, the probability that a parent participates in the PTA or the planning board = 0.17+0.27 = 0.44
What is the Perform the indicated operation. 1 1/7 ∙ 2 4/5
let's firstly convert the mixed fractions to improper fractions and then multiply.
[tex]\stackrel{mixed}{1\frac{1}{7}}\implies \cfrac{1\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{8}{7}} ~\hfill \stackrel{mixed}{2\frac{4}{5}} \implies \cfrac{2\cdot 5+4}{5} \implies \stackrel{improper}{\cfrac{14}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{8}{7}\cdot \cfrac{14}{5}\implies \cfrac{8}{5}\cdot \cfrac{14}{7}\implies \cfrac{8}{5}\cdot 2\implies \cfrac{16}{5}\implies 3\frac{1}{5}[/tex]
a graph in visual form that expresses the important characteristics of a situation and does not necessarily have numerical values is
Rewrite the equation in simplified slope-intercept form: 77-y=5x
The equation of the line in slope - intercept form is -
y = - 5x + 77.
What is the equation of a straight line in slope - intercept form?The equation of a straight line in slope - intercept form is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the equation as -
77 - y = 5x
We have the equation in the slope - intercept form as -
77 - y = 5x
y = 77 - 5x
y = - 5x + 77
Therefore, the equation of the line in slope - intercept form is -
y = - 5x + 77.
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Which of the following best describes the expression 6(y + 3)? (4 points) a The product of two constant factors six and three plus a variable b The sum of two constant factors six and three plus a variable c The product of a constant factor of six and a factor with the sum of two terms d The sum of a constant factor of three and a factor with the product of two terms
The following which best describes the expression 6(y + 3) is that it is the product of a constant factor of six and a factor with the sum of two terms which is therefore denoted as option C.
What is a Factor?This is referred to as a number or algebraic expression that divides another number or expression evenly with no remainder and an example is 3 multiplied by 6 to give 18.
The expression 6(y + 3) means that the constant factor is 6, which is being multiplied with "the sum of two terms", which is (y+3) thereby msking option C the correct choice.
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A student wanted to study the relationship between drinking coffee and study habits.
They recorded the amount of coffee that a group of students drank during a night spent
studying and then measured the same students again on a night they did not study.
Which test should they use to analyze their data?
Independent-test
Paired (dependent) t-test
t-test is used to compare the sample means from two related groups.
Is it better to employ an independent or paired t-test?As previously stated, these two tests should be applied to separate data structures. When data from two samples are statistically independent, the two-sample t-test is employed, but the paired t-test is used when data is in the form of matched pairs.
To compare sample means from two related groups, the dependent samples t-test is utilized. This signifies that the scores for both groups being compared were obtained from the same individuals. The goal of this test is to see if there is a difference between two measurements (groups). If you’re only looking at one group, use a paired t-test to compare the mean of the group over time or after an intervention, or a one-sample t-test.
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Please help, 15 points!!
A mathematical phrase, rule, or law describing the relationship between an independent variable and a dependent variable (the dependent variable).
What is meant by Functions?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships. the appropriate course of action or activity for a certain person, thing, or institution; the reason why something exists or is intended to; a function. any ceremonial event, meeting, or social gathering. a factor that is connected to or reliant on other factors: Supply and demand determine price.An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this.Given,
[tex]g^{-1}(5)=[/tex]
1/g × 5
therefore, 1 × 5/g
we get. 5/g
[tex]h^{-1}(x)=[/tex] 1/h × x
= 1 × x/h
= x/h
[tex]\left(h^{-1} \circ h\right)(-2)=[/tex]
[tex]\left(h^{-1} \circ h\right)(-2)[/tex]
[tex]& h^{-1} h=h^{-1+1} \\[/tex]
Simplifying,
[tex]& =\circ h^{-1+1}(-2)[/tex]
[tex]={ }^{\circ} h^0(-2)[/tex]
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I asked my students about their pets. 16 students said they had a cat. 18 Students said they had a dog. 6 students said they had both a cat and dog. 4 students said they had neither a cat or a dog.
If I choose a random student who does have a dog, what is the probability they don't have a cat?
The probability that a student who I randomly select does not also have a cat is "0.75"
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given,16 students said they had a cat. 18 Students said they had a dog. 6 students said they had both a cat and a dog. 4 students said they had neither a cat nor a dog.
Let C indicate that the student has a cat and D indicate that the student has a dog.
Given that the randomly chosen student has a dog.
The total number of students who had a dog = Number of students who had a dog + Number of students who had both a cat and a dog
= 18+6=24
So n(S)=24
Out of these 24
students who had a dog:
The number of students who don't have a cat = The total number of students who had a dog - Number of students who had both a cat and a dog = 24−6=18
So favourable outcomes, n(A)=18
Thus,
Probability = 18 /24
Probability = 0.75
therefore, If I choose a random student who does have a dog the "0.75" is the probability they don't have a cat
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