The number of ways to arrange the pets such that at least one pair of cats are next to each other is:
(n+m)!/(n!m!) - (m+n-1)!/(m!(n-1)!). Considering n as catcats and m as dogs
There are a few different ways to approach this problem, but one possible method is to use the complement principle, which states that the total number of ways to arrange the pets minus the number of ways to arrange them such that no cats are next to each other will give the number of ways to arrange them such that at least one pair of cats are next to each other.
Let n be the number of cats and m be the number of dogs. The total number of ways to arrange the pets in a row of chairs is (n+m)!/(n!m!), which is the number of ways to arrange n identical cats and m identical dogs. To arrange the pets such that no cats are next to each other, we can first arrange the cats in n! ways and then place the dogs between the cats in (m+n-1)!/(m!(n-1)!) ways, since there are m+n-1 spaces to place the m dogs and n-1 dividers between the n cats.
Therefore, the number of ways to arrange the pets such that at least one pair of cats are next to each other is:
(n+m)!/(n!m!) - (m+n-1)!/(m!(n-1)!)
Learn more about combinatorics here: brainly.com/question/13320492
#SPJ4
Ella ha 5. 7 pound of flour to bake ome cake. She ue 0. 6 of a pound of flour for each cake. How many cake can Ella bake?
Ella has 5.7 pounds of flour, and needs 0.6 of a pound of flour for each cake. This mean that she can bake a total of 9 cakes.
Step 1: Ella has 5.7 pounds of flour
Step 2: Each cake requires 0.6 of a pound of flour
Step 3: 5.7/0.6 = 9.5 (rounded down to 9)
Step 4: Ella can bake 9 cakes
Ella has 5.7 pounds of flour which she wants to use for baking cakes. Each cake requires 0.6 of a pound of flour, so to figure out how many cakes she can make, we need to divide the amount of flour she has by the amount of flour needed for one cake. 5.7/0.6 = 9.5 (rounded down to 9), so Ella can bake 9 cakes. This is because the 0.5 of a pound of flour leftover is not enough to make an entire cake, so it is discarded. This means that Ella can make 9 cakes with the 5.7 pounds of flour she has.
Learn more about mean here
https://brainly.com/question/15323584
#SPJ4
The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993.
Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.
A.y=2x+380 travelers will spend about $410 billion in the year 2008.
B.y=2x+320 travelers will spend about $350 billion in the year 2008.
C.y=20x+320 travelers will spend about $620 billion in the year 2008.
D.y=20x+380 travelers will spend about $680 billion in the year 2008.
The equation for the line of best fit that predicts how much money travelers will spend in 2008 is y = 20x + 320.
What is the equation of the line?
The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y-intercept (the point at which the line crosses the y -axis).
This is a linear function,
let's say the equation is y =ax + b,
the points (1.5, 350) and (4, 400)
a = (400-350) /(4 - 1.5)
= 50/2.5
= 20
y = 20x + b,
350 = 20(1.5) + b
350 = 30 + b
350 -30 = b
b = 320
y = 20x + 320
so, in 2008,
x =15,
y = 20(15) + 320 = 300 + 320 = 620
Hence, the equation for the line of best fit that predicts how much money travelers will spend in 2008 is y = 20x + 320.
To learn more about the equation of the line visit,
https://brainly.com/question/19417700
#SPJ4
a tree limb hangs 51 feet from a telephone wire. the city trims back the branch before it grows within 2; feet of the wire. will the city allow the tree to grow 2} more feet?
No, the city will not allow the tree to grow 2} more feet.
The telephone wire is a safety hazard, so the city trims back the branch so that it does not come closer than 2 feet to the wire. To calculate if the tree can grow 2} more feet, we need to find out how far the branch is currently from the wire and subtract 2 feet.
Let x = the current distance of the branch from the wire
51 - x = 2
x = 49 feet
Therefore, the branch is currently 49 feet away from the wire, which is less than 2} feet. Since the city trims back the branch when it grows closer than 2 feet to the wire, the city will not allow the tree to grow 2} more feet.
Learn more about distance here:
https://brainly.com/question/29196723
#SPJ4
2 plus the cube of a number.
The question is asking to express the mathematical operation: 2 plus the cube of a number, this can be written as 2+x^3. 'x' represents the unknown number, and 'x^3' depicts the cube of that number.
Explanation:This question pertains to the mathematical concept known as the 'cube' of a number. It is asking for the expression of the operation: 2 plus the cube of a number. In mathematical terms, if we let x be the unknown number, then the expression can be written as 2+x^3. Here, 'x' represents any number and 'x^3' denotes the cube of that number. So if x was 2, for example, the expression would be 2+(2^3) = 2+8 = 10.
Learn more about Cube of a Number here:https://brainly.com/question/34622812
#SPJ2
(2-1)^6
how do i solve this? can i please see the steps
Answer:
1
Step-by-step explanation:
PEMDAS? omg
Parenthesis, Exponents, Multiplication, Division ,Addition ,Subtraction
so we gon solve the parenthesis first. Basically, we will subtract 1 from 2.
(2-1)= 1
after dis we do dah exponents. we put 1 to the power of 6. 1*1*1*1*1*1= 1
1 to the 6th power is 1 :o
Which one would it be ?
Answer: A
Step-by-step explanation:
Let P(k) be a statement that 1/1*2+1/2*3+ ... + 1/k*(k+1)=
for: The basis step to prove P(k) is that at k = 1, _____ is true.
for:Show that P(1) is true by completing the basis step proof. Left side of P(k) and Right side of P(k)
for: Identify the inductive hypothesis used to prove P(k).
for: Identify the inductive step used to prove P(k + 1).
For: The basis step to prove P(k) is that at k = 1, _____ is true. for series .
What is series and sequence?
The foundational concepts in arithmetic are sequence and series. A sequence is an ordered collection of components where repetitions of any kind are permitted, but a series is the accumulation of all elements.
One of the many illustrations of a sequence or series is a mathematical progression.
Let P(k) be a statement that 1/1*2+1/2*3+ ... + 1/k*(k+1)=
The basis step to prove P(k) is that at k = 1, _____ is true.
Basic step - P(1) is true,
to show that 1/1.2 = 1/1+1
the left hand side of the equation is 1/1.2 = 1/2 right hand side
1/1 + 1 = 1/2
1/2 = 1/2
Learn more about sequence and series
brainly.com/question/12429779
#SPJ4
Determine if the given vector is in the range of t(x) = ax where a = 1 -2 0 3 2 1
The given vector is v = -3 4 -1 0. The given vector is not in the range of t(x).
To determine if this vector is in the range of t(x) = ax where a = 1 -2 0 3 2 1, we need to check if there exists a vector x such that t(x) = ax = v. This can be represented as the following equation:
1x1 - 2x2 + 0x3 + 3x4 + 2x5 + 1x6 = -3
We can solve this equation using Gaussian elimination. After row operations, we can obtain the following reduced row-echelon form:
1 0 0 0 0 3/2 = -3
Since the left-hand side does not equal the right-hand side, we can conclude that the given vector is not in the range of t(x).
Learn more about vector here:
https://brainly.com/question/29740341
#SPJ4
What is the domain and range of an inverse function of tangent?
The inverse function of tangent (tan^-1) is also known as arctangent. The domain of arctangent function is all real numbers and its range is (-π/2, π/2).
The tangent function, tan(x), is defined for all real numbers x, but it's not defined when x = (nπ + π/2), where n is an integer. So the domain of the tangent function is all real numbers except (nπ + π/2), where n is an integer.
When we take the inverse of a function, we switch the roles of the domain and range, so the domain of the tangent function becomes the range of the inverse function and the range of the tangent function becomes the domain of the inverse function. The range of the tangent function is all real numbers, but it is not defined for (nπ + π/2), where n is an integer. So the domain of the arctangent function is all real numbers except (nπ + π/2), where n is an integer.
The range of arctangent function is (-π/2, π/2) because the range of arctangent function is the set of all possible values of the input of tangent function for which it is defined.
To know more on tangent function
https://brainly.com/question/22043858
#SPJ4
Find the Exponents!
(2 points each)
For numbers 5-7, use the properties of exponents to determine what numbers should
replace each variable written as an exponent below that will make the equations true.
LOOK AT THE PHOTO
DO NOT DO NUMBER 8
I ONLY NEES 5,6,7
Using the property of exponents the numbers are determined as follows
5. x = 9
6. b = -4
7. n = 0
How to determine the numbersAn exponential equation can be solved using the same bases because to the property of equality of exponential functions. It states that if all sides of an exponential equation have identical bases, then the exponents must likewise be equal.
The property is applied in the following equations
5. 8² * 8ˣ = 8¹¹
equating the powers
2 + x = 11
x = 11 - 2
x = 9
6. 5⁷ * 5ᵇ = 5³
equating the powers
7 + b = 3
b = 3 - 7
b = -4
7. x¹² * xⁿ = x¹²
equating the powers
12 + n = 12
n = 12 - 12
n = 0
Learn more about exponents at:
https://brainly.com/question/11975096
#SPJ1
Burt deposited $100,000 into an account that compounds interest semiannually at a rate of 2.66%. At the end of each 6-month period, a withdrawal of $8000 is made from the account. How long will it take until the account has a balance of $0? round your answer to the nearest year.
step by step formula pls <3
Answer:
Step-by-step explanation:
The formula for calculating the time it will take for an investment to reach a certain amount given a rate of return and regular withdrawals is:
Time = (ln(Final Balance/Initial Balance))/(ln(1 + Rate of Return))
In this case, the Initial Balance is $100,000, the Final Balance is $0, and the Rate of Return is 2.66%.
Time = (ln(0/100000))/(ln(1 + 0.0266))
Time = (-11.51)/(0.026101)
Time = -440.17
Since the time is given in years, we need to round the answer to the nearest year.
Answer: It will take 440 years for the account to have a balance of $0.
Solve for x over the complex numbers. x2+8x+20=0 Enter your answers in the boxes in standard form. x = or x =
The two solutions for x are x = -4 + 4i and x = -4 - 4i. These solutions are in standard form, as required.
The given equation is a quadratic equation in x, of the form ax2 + bx + c = 0, where a = 1, b = 8 and c = 20.
To solve this equation, we use the quadratic formula, which states that the two roots of the equation are:
x = [-b ± √(b2 - 4ac)] / 2a
Since a = 1, the formula simplifies to:
x = [-8 ± √(82 - 4(1)(20))] / 2
Substituting the values for a, b and c, we get:
x = [-8 ± √(-64)] / 2
Taking the positive and negative square roots of -64, we get:
x = [-8 ± 8i] / 2
Simplifying, we get:
x = -4 ± 4i
Therefore, the two solutions for x are x = -4 + 4i and x = -4 - 4i. These solutions are in standard form, as required.
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ4
Number
207
208
PLEASE BE SURE TO DEDUCT ANY CHECK CHARGES THAT MAY APPLY TO YOUR ACCOUNT
Description
(-)
V
Check/Debit
Date
12/9 Freidman's Toy Store
Christmas Gifts
12/12 Deposit
Paycheck
12/6 GE Gas and Electric
3
December Utility Bill
12/21 Withdrawl
249 50
110 86
50 00
for gifts
What was the balance in John's account after depositing his paycheck?
Deposit
550 97
Balance
647 82
The total balance in John's account after depositing his paycheck is, 800.47.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The balance in John's account before depositing his paycheck = 249.50
And, He deposit 550.97 in his account.
Here, The balance in John's account before depositing his paycheck = 249.50
Hence, The total balance in John's account after depositing his paycheck is,
⇒ 249.50 + 550.97
⇒ 800.47
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ1
True or False
As you answer the following questions, write explanations for why your current answer is correct
The distance that is covered is directly proportional to the time. This is true
What is a direct proportion?The relationship between two quantities where their ratio equals a constant value is known as a direct proportion or direct variation. When the ratio x:y is constant, two values, x and y, are said to be directly proportional to one another.
It should be noted that there are two main types of proportionality with are direct proportion and inverse proportion. In this case, two variables x and y are said to be in direct proportion when y ∝ x (or x ∝ y). This implies, y = kx, for a constant k. While two variables x and y are said to be in inverse proportion if y ∝ 1/x (or x ∝ 1/y).
Regarding the question There's a first proportion. This will be:
2/1 = 4/2
= 2
The constant of proportionality is 2.
Learn more about direct proportion on:
https://brainly.com/question/28908934
#SPJ1
organizations such as the u.s. centers for disease control (cdc) often use data collected from hospitals. what kind of data is the cdc using if it is collected by hospitals, then sold to the cdc for its own analysis? 1 point
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.
Data plotting: What is it?The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.
Here,
Given :
Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).
In order to determine what data they use,
From the information provided, it is clear that they are using second-party data.
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.
To know more about plotting data visit:
https://brainly.com/question/29096917
#SPJ4
− 3/7 + 5/2 ????????????
PLEASE HELPPPP
Answer:
29/14
Explanataion:
a three dimensional object with two identical circular ends and one side
Answer:
cylinder
Step-by-step explanation:
si la función madre f(x) = [x] se transforma en h(x) = [x] + 3, ¿que transformación ocurre de f(x) a h(x)? ¿Como se ven afectados el vértice y el rango de h(x)?
x questions are the leaves and 4 of the following words in sentence of your own experience are the plants that are the plants that are the plants that are the plants that are
Find the domain of f(x) = -√x² - 4.
x ≥ 2 or x ≤ -2
all real numbers
x ≥ 2 or x ≤ 2
x >2
The domain of f(x) = -√x² - 4 is x ≥ 2 or x ≤ -2
What is the domain in math?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
How do you find the domain?Consider the function y = f(x), which has the independent variable x and the dependent variable y. The chosen x-value is referred to as being in the domain of f if a function f successfully produces a single value y using a value for x.
In the given question,
the domain of f(x) = -√x² - 4.
x ≥ 2 or x ≤ -2
all real numbers
To learn more about domain and range, click the following link:-
https://brainly.com/question/2264373
#SPJ1
The 5th term in a geometric sequence is 16 and the 10th term is 1/2. Find the 12th term
[tex]\hspace{13em} \begin{array}{cll} term&value\\ \cline{1-2} a_5&16\\ a_6&16r\\ a_7&16rr\\ a_8&16rrr\\ a_9&16rrrr\\ a_{10}&16rrrrr=\frac{1}{2}\\ a_{11}&\frac{1}{2}r\\ a_{12}&\frac{1}{2}rr \end{array}~\hfill \\\\\\ 16r^5=\cfrac{1}{2}\implies r^5=\cfrac{1}{32}\implies r=\sqrt[5]{\cfrac{1}{32}}\implies r=\cfrac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ a_{12}=\cfrac{1}{2}rr\implies a_{12}=\cfrac{1}{2}r^2\implies a_{12}=\cfrac{1}{2}\left( \cfrac{1}{2} \right)^2\implies a_{12}=\cfrac{1}{8}[/tex]
Which of the following describes the number of times an analog wave is measured each second during an analog-to-digital conversion
The number of times an analog wave is measured each second during an analog-to-digital conversion is known as the sampling rate. Generally, the sampling rate should be at least twice the highest frequency present in the signal, in order to accurately capture the signal in the digital domain.
An analog-to-digital conversion is the process of converting an analog signal (such as a sound wave or radio wave) into a digital signal. The number of times an analog wave is measured each second during the conversion process is known as the sampling rate. In order to accurately capture the signal in the digital domain, the sampling rate should generally be at least twice the highest frequency present in the signal. The higher the sampling rate, the more accurately the signal will be recorded. For example, CD quality audio has a sampling rate of 44.1 kHz, meaning that 44,100 samples are taken of the analog signal each second.
Learn more about domain here
https://brainly.com/question/13113489
#SPJ4
15 of Austen's dominoes are standing and the other 34 dominoes have fallen over. What is the ratio of the number of fallen dominoes to the number of dominoes still standing?
The ratio of the number of fallen dominoes to the number of dominoes still standing is 34 : 15
How to find ratios?Ratio refers to a number representing a comparison between two or more quantities.
Number of Austen's dominoes that are standing = 15
Number of Austen's dominoes that have fallen over= 34
The ratio of the number of fallen dominoes to the number of dominoes still standing = 34 : 15
Therefore, 34 : 15 is the ratio of fallen dominoes to standing dominoes.
Read more on ratio:
https://brainly.com/question/2328454
#SPJ1
Attempts to find the inverse by cross-multiplying and an attempt to collect all the x-terms (or swapped y-terms) onto one sideM1:A fully correct method to find the inverse a level edexcel maths
To find the inverse of a fraction using cross multiplication, you first need to understand what the inverse of a fraction is. The inverse of a fraction is another fraction that, when multiplied by the original fraction, equals 1.
For example, the inverse of 3/4 is 4/3, because 3/4 x 4/3 = 1.
To find the inverse of a fraction using cross multiplication, you will need to use the property that if a/b = c/d, then a x d = b x c. To find the inverse of a fraction, you simply swap the numerator and denominator and multiply them together.
For example, to find the inverse of 3/4, you would swap the numerator and denominator to get 4/3, and then multiply them together to get 1.
So the steps would be:
Write the fraction you want to find the inverse of (let's call it "fraction A")Swap the numerator and denominator of "fraction A"Multiply the numerator and denominator of the new fraction you get in step 2 togetherThe result of this multiplication will be 1, hence the new fraction is the inverse of the original one.It is important to note that if the original fraction is a whole number, it's inverse will be 1 over the whole number.
To know more about cross multiplication click below:
https://brainly.com/question/15209325#
#SPJ4
Complete question:
Attempt to find the inverse of a fraction using cross - multiplying . please describe the method of finding the inverse.
Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large normally distributed population of test scores whose minimum was 515151 points. He then took a random sample of 666 tests and calculated the minimum of the sample. He replaced those tests and repeated this process for a total of 404040 trials. His results are summarized in the dotplot below, where each dot represents the minimum score from a sample of 666 tests.
Given that it regularly overstated the population minimum, sample minimum looks to be a biased estimator.
What is biased and un-biased estimator?a measurement made using sample data that consistently underestimates or overestimates the real quantity in the target population. A biassed estimator, then, is one whose average value deviates from the value of the parameter it claims to represent. referred to as a skewed statistic.
When the anticipated value of the estimator equals the parameter value, the estimator is considered to be unbiased if its bias is equal to zero for all values of the parameter.
An estimate is considered biassed when it deviates from the genuine population value. When an estimator stays faithful to the population parameter, it is said to be unbiased.
To know more about biased estimator refer to:
https://brainly.com/question/27815279
#SPJ4
The complete question is as follows:
hannah is playing the lottery. she can pick 5 numbers between 1 and 32, with no numbers repeating. order of these numbers does not matter. she can also pick a bonus number between 1 and 20. what are her chances of picking all of the numbers, including the bonus, correctly?
The probability of picking all 6 numbers correctly are 1 in 1,947,792.
1 in 32 x 1 in 31 x 1 in 30 x 1 in 29 x 1 in 28 x 1 in 20
= 1 in 1,947,792
Hannah's chances of picking all 6 numbers correctly are 1 in 1,947,792. This is calculated by taking the odds of correctly picking each number and multiplying them together. The odds of correctly picking the first number is 1 in 32, the second number is 1 in 31 (as one of the numbers has already been selected), the third 1 in 30, fourth 1 in 29, fifth 1 in 28, and finally the bonus number is 1 in 20. When all of these odds are multiplied together, the total odds of correctly picking all 6 numbers is 1 in 1,947,792. This means that there is a very small chance of Hannah picking all of the numbers correctly, but it is still possible.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
Roberta wants to reduce a drawing that is 12 inches long by 8 inches wide. If her new drawing is 6 inches long, how wide will it be?
For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.
If this drawing is proportional, we can see that 12 was divided by 2 to get 6. We can do the same to 8.
8 ÷ 2 = 4
The width of the new drawing is 4.
If quadrilateral lmno is a parallelogram, what must the measure of angle lmn be? m∠lmn = °
The measure of angle ∠LMN = 105°
What is a parallelogram?
A parallelogram is a quadrilateral, which is a four-sided polygon, with opposite sides that are parallel. Additionally, opposite angles in a parallelogram are congruent (equal in measure). So, if a figure has parallel opposite sides and congruent opposite angles, then it is called a parallelogram.
In the given figure, quadrilateral LMNO is a parallelogram in which ∠L = 25x° and ∠MNO = (22x + 9)°
We have get the measurement of ∠LMN
Since in a parallelogram opposite angles are equal.
Therefore 25x = 22x + 9
25x - 22x = 9
3x = 9
x = 3
From another property of a parallelogram, we know that consecutive angles are supplementary.
∠LMN + ∠ONM = 180°
∠LMN = 180 - ∠OLM = 180 - (25x) = 180 - (25×3)
∠LMN = 180 - 75 = 105°
Hence, the measure of angle ∠LMN = 105°
To learn more about the parallelograms, visit:
https://brainly.com/question/970600
#SPJ4
L83) use product to sim identities to rewrite the expresiion as the sum or diference of two functions.
cos 2x cos 6x
The expression 2x cos 6x can be rewritten using product to sum identities as 1/2(cos(8x) + cos(-4x))
How to use product to sum identities to rewrite an expression as the sum or difference of two functions?
Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
The product to sum identities we are going to need in this case is given by the formula:
cos(a) cos(b) = 1/2 (cos(a+b) + cos(a-b))
Since we have cos 2x cos 6x. Thus:
cos 2x cos 6x = 1/2 (cos(2x+6x) + cos(2x-6x))
= 1/2 (cos(8x) + cos(-4x))
Learn more about trigonometry on:
brainly.com/question/29354606
#SPJ1
The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 30 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 11 ft/sec. Introduce coordinates so that the cup is the origin of an xy-coordinate system. Provide numerical answers below with two decimal places of accuracy.
It takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.
How is this determined?In this problem, we are given the radius of the circular green (30 feet) and the speed of the ball (11 ft/sec). We are also given a diagram of the ball's starting point and the location of the cup, which is at the origin of the xy-coordinate system.
We can introduce coordinates by assigning the x-coordinate to be the horizontal distance from the cup (the origin) and the y-coordinate to be the vertical distance from the cup.
From the given diagram, we can see that the ball's starting point is at (x,y) = (-15, -18). The cup is at (0,0). We are asked to find the time it takes for the ball to reach the right-most edge of the green.
To find this, we first need to find the distance between the ball's starting point and the right-most edge of the green. We can use the Pythagorean theorem to do this:
d = √((x2-x1)^2 + (y2-y1)^2) = √((15)^2 + (18)^2) = 21
Now that we have the distance, we can use the formula:
time = distance / speed = 21 / 11 = 1.909 sec (approx)
So it takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.
Learn more about Coordinates here:
brainly.com/question/27749090
#SPJ4
Eve crosses two pedestrian crossings on her way to school, each of which shows either a green or a red light when she arrives. On one day, the lights at both crossings showed the same colour when Eve arrived. What is the probability that they both showed red? Give your answer as a fraction in its simplest form.
The probability that both lights showed red is given as follows:
3/5.
How to obtain a probability?A probability is obtained by the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have to find the correct nodes in the tree that result in both crossings red, and their probabilities.
For the first crossing, the probability of red is given as follows:
4/5.
For the second crossing, the probability of red is given as follows:
3/4.
Hence the probability of red in both lights is given as follows:
4/5 x 3/4 = 3/5.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
