Help quickly!! 100 POINTS NEEDED QUICKLY
A two-digit locker combination has two nonzero digits and no two digits are the same. Event A is defined as choosing an odd digit for the first number, and event B is defined as choosing an even digit for the second number.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
Answers
The conditional probability is given as follows:
P(B|A) = 1/2, option C.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The events are given as follows:
Event A: odd digit for the first number.Event B: even digit for the second number.P(B|A) is the probability that the second digit is even, considering that the first digit was odd. As the digits cannot repeat, and there will be 8 remaining digits, out of which 4 will be even, the probability is given as follows:
P(B|A) = 4/8 = 1/2.
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Related Questions
unit 10 hw 4 can yall pls help me
Answers
Answer:33
Step-by-step explanation:
33
what is 3 plus 3???
as a joke :)
Answers
Answer:6
Step-by-step explanation:biyhfdvsauybi
Use a calculator to find the measure of
Answers
Answer:
The answer is 78.5° .................
Answer:
78.5°
Step-by-step explanation:
For <A, AC is the adjacent leg.
AB is the hypotenuse.
The trig function that relates the adjacent leg to the hypotenuse is the cosine.
cos A = adj/hyp
cos A = 3/15
cos A = 1/5
A = cos^-1 0.2
A = 78.5°
easy question for people, btw the question is not for me lol
Maya spent 2 hours on her phone, then she was left with 38% battery left.
then after another hour passed by and now it is 9%.
How many hours and minutes did she spend on her phone
Answers
Now we can use this rate to figure out how much battery Maya used in the third hour. If she was left with 38% battery after 2 hours, then she had 100% - 38% = 62% of her battery left. If another hour passed by and she was left with 9% battery, that means she used 62% - 9% = 53% of her battery in that hour. Since we know she uses 5.17% of her battery per hour, we can divide 53% by 5.17% to get the total number of hours she spent on her phone:
53% / 5.17% = 10.24 hours
So Maya spent 2 hours + 1 hour + 10.24 hours
Find [ f.g](-4) for f(x) = x - 8 and g(x)=-x^2 +2
Answers
Answer: Buckle up this answer is gonna be a rollercoaster and here we go.
To find f.g, we first need to evaluate g(-4) and then use the result as the input for f(x).
We have:
g(-4) = -(-4)^2 + 2 = -16 + 2 = -14
Now, we use this result as the input for f(x):
f(g(-4)) = f(-14) = -14 - 8 = -22
Therefore, f.g = -22.
What a short ride.
What is the best estimate of 2/3, 1, 0
Answers
The estimated value of 2/3 is roughly 0.67, of 1 it is 1 and for 0 it is 0.
What does a estimate mean?
A number given to a demographic parameter that was taken from the a statistical sample. A pricing estimate for the job that needs to be done. 3. an assessment or view of the essence, character, or trait of an object or a person.
What is an illustration of an estimate?
To make computations simpler, an estimate is an approximate estimation of the real value, amount, or quantity.
For 2/3, on dividing we get the value as 0.67.
Since 1 is a number and doesn't need to be rounded or approximated, the guess is 1.
Since it is a number without a fractional component, the approximation of 0 also is 0.
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What THREE statements are correct with the variation in the random samples?
A-Samples 1, 2, and 4 best represent the data set because the data in these sets have similar results.
B-Sample 5 may not be an accurate sample for hamburgers and other because of the difference in numbers compared to other samples.
C-Samples 1, 2, and 4 best represent the data set because there are different results when comparing these samples.
D-Sample 2 may not be an accurate sample for pizza and hot dogs because of the difference in numbers compared to other samples.
E-Sample 3 may not be an accurate sample for pizza and hot dogs because of the difference in numbers compared to other samples.
Answers
A, B, and E are the consistent with the random samples on preferred school lunches by 100 students.
What is a random sample?A random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample. Random sampling is an important tool in statistics and allows researchers to make inferences about the larger population based on the characteristics of the sample.
Random sampling helps to ensure that the sample is representative of the population and that any statistical analysis done on the sample can be generalized to the larger population.
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Use set-builder notation to indicate set numbers as described.
Answer
As
{x|
The set of all real numbers between 5 and 7, including 5
Answers
create a hanger to represent 7 = 4x + 2
Answers
4x + 2 = 7 or, 4x = 7 - 2 or, 4x = 5 or, x = 5/4 = 1.25
the factor of 70
the common factor of 70
[tex]the factor of 70[/tex]
Answers
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.
What is a factor?
A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product because the product is divisible by them.
Multiplication and division are the two techniques for determining factors. Rules of divisibility can also be applied.
The given number is 70.
70 is completely divisible is 1.
70 is completely divisible is 2.
70 is completely divisible is 5.
70 is completely divisible is 7.
70 is completely divisible is 10.
70 is completely divisible is 14.
70 is completely divisible is 35.
70 is completely divisible is 70.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.
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what is another name for line qr?
Answers
Answer: Another name would be Line RQ
Not sure if this is what you're looking for but hope it helps!
Consider one triangle whose sides measure units, units, and 2 units. Consider another triangle whose sides measure 2 units, units, and units. Are these triangles congruent, similar, or both? Explain your answer.
Answers
The triangles are cοngruent.
How to find if two triangles are congruent?Tο determine whether the twο triangles are cοngruent, similar, οr bοth, we need tο cοmpare their cοrrespοnding sides and angles.
Let's first cοmpare their cοrrespοnding sides:
Triangle 1: sides measure x, x, and 2 units
Triangle 2: sides measure 2 units, x, and x
The sides x and x are the same in bοth triangles, and the side 2 units in triangle 1 cοrrespοnd tο the side 2 units in triangle 2. Hοwever, the οrder οf the sides is different in the twο triangles. We can reοrder the sides in triangle 2 sο that they match the οrder οf the sides in triangle 1:
Triangle 2: sides measure x, x, and 2 units
Nοw we can see that the twο triangles have the same side lengths and are therefοre cοngruent.
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Straight Line Graphs Question. I tried to solve the section (a) part of the question correctly I followed the gradient method plugging in the values and got [tex]y = \frac{1}{6} x + 1.6 (recurring). However the answer is y = \frac{1}{2} x + 3.[/tex]. Where am I going wrong? Can someone explain step by step how to solve this please.
Answers
The equation of the straight line joining A to B is y = (1/2)x + 3, the equation of the straight line joining B to C is y = (1/2)x + 3, and A, B, and C are collinear.
What are collinear points?
Collinear points are three or more points that lie on the same straight line. In other words, if three points A, B, and C are collinear, then there exists a straight line that passes through all three points. To determine if three or more points are collinear, we can find the slope of the line that passes through any two of the points. If the slope is the same for all possible pairs of points, then the points are collinear. Otherwise, they are not collinear.
a) To find the equation of the straight line joining A to B, we can use the slope-intercept form of the equation of a line:
y = mx + b
where m is the slope of the line, and b is the y-intercept.
The slope of the line passing through A and B is:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (-8, -1) and (x₂, y₂) = (-4, 1).
m = (1 - (-1)) / (-4 - (-8)) = 2/4 = 1/2
To find the y-intercept, we can use the point-slope form of the equation of a line:
y - y₁ = m(x - x₁)
where (x₁, y₁) = (-8, -1) and m = 1/2.
y - (-1) = (1/2)(x - (-8))
y + 1 = (1/2)(x + 8)
y = (1/2)x + 3
Therefore, the equation of the straight line joining A to B is y = (1/2)x + 3.
b) To find the equation of the straight line joining B to C, we can use the same method:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (-4, 1) and (x₂, y₂) = (12, 9).
m = (9 - 1) / (12 - (-4)) = 8/16 = 1/2
Using point-slope form with the point (x₁, y₁) = (-4, 1) and slope m = 1/2:
y - 1 = (1/2)(x - (-4))
y - 1 = (1/2)x + 2
y = (1/2)x + 3
Therefore, the equation of the straight line joining B to C is y = (1/2)x + 3.
c) From the equations of the lines joining A to B and B to C, we can see that both lines have the same slope of 1/2. This implies that the three points A, B, and C are collinear, i.e., they lie on the same straight line.
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Perform the operation. ( 8 � 2 + 3 � − 4 ) + ( − 2 � 2 + 8 � ) (8x 2 +3x−4)+(−2x 2 +8x)
Answers
Therefore, the simplified expression is 6x² + 11x - 4.
What is expression?In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, −, ×, ÷, ^) that represents a quantity or a mathematical relationship between quantities. Expressions can include variables, which are letters that represent unknown or varying values. Expressions can be simple or complex, and they can be used to represent mathematical formulas, equations, inequalities, and functions. Expressions can be evaluated by replacing the variables with specific values and performing the arithmetic operations according to the rules of algebra. Expressions can also be simplified by combining like terms, distributing multiplication, and factoring. Simplifying expressions can help us to better understand their structure and relationships, and it can make them easier to work with in calculations and problem-solving.
Here,
To perform the operation (8x² + 3x - 4) + (-2x² + 8x), we need to combine like terms, i.e., terms that have the same variable and exponent.
First, let's combine the x² terms:
8x² - 2x² = 6x²
Next, let's combine the x terms:
3x + 8x = 11x
Finally, let's combine the constants:
-4 + 0 = -4
Putting it all together, we have:
(8x² + 3x - 4) + (-2x² + 8x) = 6x² + 11x - 4
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The area of a square is 196 square feet. Find the length of a side.
FIND THE LENGTH IN FEET!!
Answers
Step by step
Since a square has equal length sides, and we know the area of the square is found by multiplying L x W, we can take the square root of 196 and get the side length that is the same for all four sides
Pre-Algebra Grade 8 (Connections) (Portfolio) Unit 2, Lesson 11 SufaceAra and Volume in the real world. I need some help to get a better understanding of the assignment.
Answers
Calculating the surface area οr vοlume οf a fοrm is impοrtant in a variety οf real-wοrld situatiοns, such as when determining hοw much water is required tο fill a pοοl (rectangular prism) οr hοw much wrapping paper is required tο wrap a candle (cylinder) οr basketball (square) (sphere).
Where wοuld yοu emplοy vοlume and surface area in daily life?The tοtal area that all οf a 3D οbject's faces enclοse is referred tο as surface area. Fοr instance, the surface area οf a cube is its surface area if we need tο determine hοw much paint is needed tο paint it.
The idea οf surface areas has practical implicatiοns in wrapping, painting, and ultimately creating things tο create the best pοssible design.
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Use set-builder notation to indicate set numbers as described.
Answer
{x||
The set of all real numbers between 5 and 9, including 5
Answers
The set of all real numbers between 5 and 9, including 5, can be represented by the set-builder notation {x ∈ ℝ | 5 ≤ x ≤ 9}.
What is set-builder notation, and how is it used in mathematics?A compact, mathematical notation is used to represent a set of components using set-builder notation. In set-builder notation, we express the attributes or features that the components of the set must have in order to be included in the set. The standard format for set-builder notation is x | P(x), where x is a variable that denotes the set's elements and P(x) is a predicate or condition that lists the characteristics each member must possess in order to be included in the set.
We can represent the set of all real numbers as:
{x ∈ ℝ | 5 ≤ x ≤ 9}
This notation reads "the set of all x in the real numbers such that x is between 5 and 9, including 5."
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In the figure below, find the exact value of . (Do not approximate your answer.)
Answers
The value for x is 4√3. The solution has been obtained by using the Pythagoras theorem.
What is Pythagoras theorem?
Pythagoras' Theorem states that the square of a right - angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides.
We are given the length of the hypotenuse to be 8.
Let the base be 'y'.
So, using Pythagoras theorem,
[tex]x^{2} + y^{2} = 8^{2}[/tex]
From this, we get
[tex]y^{2} = 8^{2} - x^{2}[/tex] ...(1)
Also,
[tex]2^{2} + Perpendicular^{2} = y^{2}[/tex] ...(2)
From the figure, we also know that
[tex]6^{2} + Perpendicular^{2} = x^{2}[/tex]
So,
[tex]Perpendicular^{2} = x^{2} - 6^{2}[/tex]
On substituting this in (2), we get
[tex]2^{2} + x^{2} - 6^{2} = y^{2}[/tex] ...(3)
On equating (2) and (3), we get
⇒[tex]2^{2} + x^{2} - 6^{2} = 8^{2}-x^{2}[/tex]
⇒ 4 + [tex]x^{2}[/tex] - 36 = 64 - [tex]x^{2}[/tex]
⇒ [tex]2x^{2}[/tex] - 32 = 64
⇒ [tex]2x^{2}[/tex] = 96
⇒ [tex]x^{2}[/tex] = 48
⇒ x = 4√3
Hence, the value for x is 4√3.
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Solve for dc pleaseee
Answers
Applying the Trigonometric ratios, the length of DC is approximately 30 units.
How to Apply the Trigonometric Ratios?To find the length of DC, we have to apply the Trigonometric ratios.
First of all, find BD.
Considering right triangle ADB, we have:
Reference angle (∅) = 54°
Length of Hypotenuse = 20
Length of opposite side = BD = ?
Apply the sine ratio:
sin 54 = opp/hyp
sin 54 = BD/20
BD = sin 54 × 20
BD ≈ 16
Use the tangent ratio to find DC:
Reference angle (∅) = 28°
Length of adjacent side = DC = ?
Length of opposite side = BD = 16
tan 28 = opp/adj
tan 28 = 16/DC
DC = 16/tan 28
DC ≈ 30
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Consider the following figure.
(Note that the figure is not drawn to scale.)
46°
72°
53°
L
57°
K
Order the side lengths IJ, JL, IK, JK, and LK from least to greatest.
O
Answers
The order of the side lengths of the triangles from the least to the greatest is Lk < JL < IJ < JK < IK.
How does angle opposite to a side of triangle affect its size?
If the angle facing a side of a triangle increases, then the length of the opposite side may also increase. This is because the larger the angle, the more vertical the opposite side becomes, and therefore the longer it may become.
Conversely, if the angle facing a side of a triangle decreases, then the length of the opposite side may also decrease. This is because the smaller the angle, the less vertical the opposite side becomes, and therefore the shorter it may become.
From the given diagram, the largest side of the triangle will be the side directly opposite the largest angle.
Also, the smallest side of the triangle will be the side directly opposite the smallest angle.
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How to find a surface area with 2in 6in 10in 8in 2in
Answers
The surface area of the rectangular prism is 376 square inches.
What is surface area?Surface area is the total area that the surface of a 3-dimensional object covers, including all of its faces and sides. It is measured in square units.
To find the surface area of a 3-dimensional object with dimensions of 2in, 6in, 10in, 8in, and 2in, you will need to add up the areas of each of its faces.
Assuming that the object is a rectangular prism, here are the steps to find its surface area:
Identify the dimensions of the rectangular prism: length, width, and height.
Length: 10in
Width: 8in
Height: 6in
Calculate the area of each face:
Front and back faces: length x height = 10in x 6in = 60 sq.in x 2 = 120 sq.in
Top and bottom faces: width x length = 8in x 10in = 80 sq.in x 2 = 160 sq.in
Side faces: height x width = 6in x 8in = 48 sq.in x 2 = 96 sq.in
Add up the areas of each face to get the total surface area:
Total surface area = 120 sq.in + 160 sq.in + 96 sq.in = 376 sq.in
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Find the zero(s) of the following function f(w)=w^2+13w+40
Answers
Answer:
To find the zeros of the function f(w) = w^2 + 13w + 40, we need to solve the equation f(w) = 0.
We can factor the quadratic expression as (w + 8)(w + 5) = 0.
Therefore, the zeros of the function are w = -8 and w = -5.
Step-by-step explanation:
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 135°. Find m∠Y.
Answers
Answer:The value of angle y is 40°.
Complementary angles are the angles that have their sum equal to 90°.
Therefore, based on the information given, the value of angle y will be calculated thus:
x + y = 90°.
4y - 110° + y = 90°
Collect like terms
4y + y = 90° + 110°
5y = 200°
y = 200/5
y = 40°
The value of angle y is 40°.
Step-by-step explanation:
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
The values of x in the equation are x = 1 and x = 13
How to determine the value of xEquations are mathematical statements that express the equality of two expressions using mathematical symbols such as variables, numbers, and operations.
From the question, we have the following parameters that can be used in our computation:
(x - 7)^2 = 36
Take the square root of both sides of the equation
So, we have the following representation
x - 7 = ±6
Add 7 to both sides
x = 7 ± 6
Evaluate the expression
x = 1 and x = 13
Hence, the solutions are 1 and 13
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Use the graph to answer the questions:
Answers
1) a) slοpe m= 1, y-intercept =0 and equatiοn is y=x.
2) a) slοpe m=-1 , y-intercept = 4 and equatiοn is y=-x+4.
What is equatiοn?The definitiοn οf an equatiοn in algebra is a mathematical statement that demοnstrates the equality οf twο mathematical expressiοns. Fοr instance, the equatiοn 3x + 5 = 14 cοnsists οf the twο equatiοns 3x + 5 and 14, which are separated by the 'equal' sign.
Here we knοw that, we can sοlve using any twο pοints.
1) Let us take any twο pοints, then
[tex](x_1,y_1)=(3,3) and (x_2,y_2) =(-3,-3)[/tex]
Now using slope formula ,
=> Slope m =[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-3-3}{-3-3}=\frac{-6}{-6}=1[/tex]
Now using equation formula [tex]y-y_1=m(x-x_1)[/tex]
=> y-3=1(x-3)
=> y-3=x-3
=>y=x-3+3
=> y=x
Hence slope m=1, y-intercept = 0 and equation is y=x.
2) Let us take two points then
[tex](x_1,y_1)=(0,4) and (x_2,y_2)=(4,0)[/tex]
Now using slope formula ,
=> Slope m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{4-0}=\frac{-4}{4}=-1[/tex]
Now using equation formula then , [tex]y-y_1=m(x-x_1)[/tex]
=> y-4=-1(x-0)
=>y-4=-x
=> y=-x+4
Hence slope = -1 , y-intercept = 4 and the equation is y=-x+4.
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A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year Each dot represents 10 cars. Use the dot plot to answer the question
Number of Cars Per Color to Stock
O 100
O 190
019
025
Answers
Therefore , the solution of the given problem of dot plot comes out to be on the dot plot, 19 vehicles were sold that were not white.
Dot plot: What is it?The most typical way to display data in a graph is to demonstrate how two additional factors relate to one another. Digital and hand-drawn sketches are both acceptable. From the beginning position, move two or more pieces to the correct and three pieces up. The reference system must display the numerals for positions 2, 3, and 4. In your points, be very clear.
Here,
The following numbers are shown as follows based on the dot plot:
Number of scarlet vehicles: 5
=> 8 black vehicles total.
=> 6 white vehicles total.
=> One silver vehicle is equal to four grey cars.
=> Blue vehicle count equals one.
The following vehicles are not white vehicles based on the aforementioned criteria.
Thus, we have the depiction shown below.
=> Number of scarlet vehicles: 5
=> 8 black vehicles total.
=> number of silver vehicles Equals 1
=> 4 grey vehicles totaled
=> Blue vehicle count equals one.
These wavelengths combine to give us the following
=> Total = 5 + 8 + 1 + 4 + 1
Analyze the amount
=> Overall = 19
Therefore, there are 19 vehicles.
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Answer: Its 190. The problem states each dot represents 10 cars. 19 out of 25 dots weren't white. 19*10 is 190.
Step-by-step explanation:
Make a scatter plot of the data pairs (year, attendance). Draw a trend line and write its equation. Estimate the attendance at U.S. theme parks in 2005.
Answers
A construction of the scatter plot of the data pairs (year, attendance) is shown below.
An equation of the line of best fit (trend line) is y = 0.19x + 308.93.
The estimated attendance for the year 2005 is approximately equal to 336 people.
How to determine an equation of the line of best fit for the data set?In order to determine an equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the number of years would be plotted on the x-axis of the scatter plot while the number of attendance would be plotted on the y-axis of the scatter plot.
Based on the scatter plot (see attachment) which models the relationship between the number of years and attendance, an equation for the line of best fit is given by:
y = 5.43x + 254.42
Lastly, we would determine the predicted attendance for the year 2005:
Years, t = 2005 - 1990 = 15 years.
y = 5.43(15) + 254.42
y = 81.45 + 254.42
y = 335.87 ≈ 336 people.
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The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 9 hours for a car moving at 35 mph.
How long does the trip take for a car moving at 21 mph ?
Answers
time = k / speed
where k is a constant of proportionality. We can find the value of k by using the information given in the problem.
When the car is moving at 35 mph, the time it takes to complete the trip is 9 hours. So we can write:
9 = k / 35
Multiplying both sides by 35, we get:
k = 315
Now we can use this value of k to find the time it takes for a car moving at 21 mph:
time = 315 / 21
time = 15 hours
Therefore, it would take a car moving at 21 mph a total of 15 hours to cover the same distance that a car moving at 35 mph covers in 9 hours.
Use the diagram to find the measure of the given angle m
Answers
After calculating the straight angle we know that ∠BAC is (A) 150°.
What is the straight angle?
A straight angle in geometry is one that is 180 degrees in length.
It looks like a straight line, which is why it is known as a straight angle.
In other words, it is an angle whose sides are in the same straight line but opposite to the vertex.
A straight angle in geometry is an angle with a vertex point that is at 180 degrees.
In other words, an angle becomes a straight angle when its arms point in the opposite direction.
So, we know that s straight angle is always 180°.
∠BAD is a straight angle.
We can also observe that:
∠BAD = ∠BAC + ∠CAD
Now, solve as follows:
∠BAD = ∠BAC + ∠CAD
180 = ∠BAC + 50
180 - 50 = ∠BAC
130° = ∠BAC
Therefore, after calculating the straight angle we know that ∠BAC is (A) 150°.
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At the start of the month, the counter on the copy machine reads 6,583. At the end of the moth, it reads 82,110. The copies cost 1 1/3 cents a piece. What was the approximate total cost of the copies for this month?
Answers
Answer:
$1007.03
Step-by-step explanation:
You want the cost of copies for the month at 1 1/3 cents each if the copy counter ran from 6583 to 82110 during the month.
Number of copiesThe number of copies made is the difference in counter readings:
82110 -6583 = 75,527 . . . . . copies made
CostEach costs 1 1/3 = 4/3 cents, so the cost of these copies is ...
(75,527 copies) × (4/3 cents/copy) = 100702 2/3 cents ≈ 100703 cents
There are 100 cents in a dollar (or other currency unit), so the cost is about ...
(100703¢)/(100¢/$) = $1007.03
The total cost of copies for the month is about $1007.03.
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Additional comment
The currency unit is not specified in this problem. There are a number of world currencies in which the smallest denomination is 1 cent. The US dollar, the Euro, and the Aruban Guilder are some of them.