The probability the ball drawn from the second box is red, is 17/56.
In a box are 7 red balls and 8 blue balls.
From this box are drawn 4 balls and placed in a second box.
We have to determine the probability the ball drawn from the second box is red.
The total number of balls = Red Balls + Blue Balls
The total number of balls = 7 + 8
The total number of balls = 15
The number of balls placed in second balls = 4
The number of combination of balls in box 2.
BBBB, BBBR, BBRR and BRRR
Then, one ball is drawn from the second box.
The probability the ball drawn from the second box is red.
P(Ball is red in the second box) = P(BBBB) + P(BBBR) + P(BBRR) + P(BRRR)
P(Ball is red in the second box) = [tex]\frac{^{5}C_{4}}{^{8}C_{0}}(0)+\left(\frac{^{5}C_{3}\times ^{3}C_{1}}{^{8}C_{4}}\right)\times\frac{^{1}C_{1}}{^{4}C_{1}}+\left(\frac{^{5}C_{2}\times ^{3}C_{2}}{^{8}C_{4}}\right)\times\frac{^{2}C_{1}}{^{4}C_{1}}+\left(\frac{^{5}C_{1}\times ^{3}C_{3}}{^{8}C_{4}}\right)\times\frac{^{3}C_{1}}{^{4}C_{1}}[/tex]
P(Ball is red in the second box) = [tex]0+\left(\frac{30}{70}\times\frac{1}{4}\right)+\left(\frac{30}{80}\times\frac{1}{2}\right)+\left(\frac{5}{70}\times\frac{3}{4}\right)[/tex]
P(Ball is red in the second box) = 3/48 + 3/16 + 3/56
P(Ball is red in the second box) = (21 + 63 + 18)/336
P(Ball is red in the second box) = 102/336
P(Ball is red in the second box) = 17/56
To learn more about probability link is here
brainly.com/question/9344931
#SPJ4
if f(x) = 7x2 − x3, what is the rate of change of f '(x) at (2, 20)?
The rate of change of f '(x) at (2, 20) is -52
We are given f(x) = 7x² − x³ and are asked to find the rate of change of f'(x) at (2, 20)
We can use the slope formula to find the average rate of change:
m = y2-y1/x2-x1
Here we need to find
Rate of change = f'(x2) - f'(x1) / x2 - x1
and here x1 = 2 and x2 = 20
First, we need to find f'(x)
f'(x) = 14x - 3x²
f'(x1) = f'(2) = 16
f'(x2) = f'(20) = -920
So, Rate of change = f'(x2) - f'(x1) / x2 - x1 = (-920 - 16)(20 - 2)
= -52
To learn more about rate of change here:
brainly.com/question/29518179
#SPJ4
BROO HELP PLEASE THANK YOUUU
We will multiply the first 7×1 =7. Option A is the correct option.
What is a table?
An array displaying the outcomes of multiplying two numbers.
The results are displayed where a row and a column converge. One number runs along a row, the other down a column.
Information is organized in rows and columns, such as numbers and descriptions.
This table lists the sports that people participate in.
The table for 7:
7×1 = 7
7×2 = 14
7×3 = 21
7×4 = 28
7×5 = 35
7×6 = 42
7×7 = 49
7×8 = 56
7×9 = 63
7×10 = 70
According to the table, we first multiply 7×1 then 7×2.
Thus 7×1 =7 is the correct answer.
To learn more about multiplication, click on the below link:
https://brainly.com/question/3730340
#SPJ1
6. A roller rink floor is show below. Each end is a emicircle. What is its area? Use π = 3.14 7 m 20 m
Answer:
it is 27
Step-by-step explanation:
because we need to add 27 and the 7m
Dustin and his friends each have a step counter, and they competed today to see who could
walk the farthest. At the end of the day, Dustin's StepPro step counter says he walked 2;
3
miles. His friends, Bobby and Marco, both have StepperPlus step counters. Bobby's step
counter says he walked 2.3 miles, while Marco's says he walked 2.5 miles.
Who walked the farthest?
Dustin
Submit
Bobby
Marco
Answer:
Step-by-step explanation:
determine where the absolute extrema of f(x)=4xx2 1 on the interval [−4,0] occur.
The absolute maximum and minimum of f(x) = [tex]\frac{4x}{x^2+1}[/tex] on the interval [−4,0] are at x = 0 and -1, respectively.
The function is f(x) = [tex]\frac{4x}{x^2+1}[/tex] .
The interval is [−4,0].
To find the value of x we differentiate the function using the u/v formula.
[tex]\frac{d}{dx}\frac{u}{v}=\frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}[/tex]
According to formula
f'(x) = [tex]\frac{(x^2+1)\frac{d}{dx}4x-4x\frac{d}{dx}(x^2+1)}{(x^2+1)^2}[/tex]
f'(x) = [tex]\frac{4(x^2+1)-4x(2x)}{(x^2+1)^2}[/tex]
f'(x) = [tex]\frac{4(x^2+1)-8x^2}{(x^2+1)^2}[/tex]
To determine the value of x equating f'(x) = 0
[tex]\frac{4(x^2+1)-8x^2}{(x^2+1)^2}[/tex] = 0
4(x^2 + 1) - 8x^2 = 0
4x^2 + 4 - 8x^2 = 0
4 - 4x^2 = 0
Add 4x^2 on both side, we get
4x^2 = 4
Divide by 4 on both side, we get
x^2 = 1
Taking square root on both side, we get
x = -1, 1
The value of x = 1 doesn't lie between the interval [-4, 0]. So we cannot consider 1.
Now evaluating the value of f(x) at -4,-1,0.
At x= -4, f(x) = -16/17
At x = -1, f(x) = -2
At x = 0, f(x) = 0
Therefore, the absolute maximum and minimum are at x = 0 and -1, respectively.
To learn more about absolute maximum and minimum of function link is here
brainly.com/question/28767824
#SPJ4
The complete question is:
Determine where the absolute extrema of f(x) = [tex]\frac{4x}{x^2+1}[/tex] on the interval [−4,0] occur.
Help me understand how to do it so I can pass?
Answer: Hi there! X = 7 would be your answer
Step-by-step explanation:
Simplify both sides of the equation.
2(3x − 6) = 3(x + 3)
(2) (3x) + (2) (−6)= (3) (x) + (3) (3)
6x + −12 = 3x + 9
6x − 12 = 3x + 9
Subtract 3x from both sides.
6x − 12−3x = 3x + 9−3x
3x − 12 = 9
Add 12 to both sides.
3x − 12+12 = 9+12
3x=21
Divide both sides by 3.
3x/3=21/3
x=7
I hope this helps!!
[tex] \: [/tex]
[tex] \frak{6x - 12 = 3x + 9}[/tex][tex] \: [/tex]
[tex] \frak{6x - 3x = 9 + 12}[/tex][tex] \: [/tex]
[tex] \frak{3x = 21}[/tex][tex] \: [/tex]
[tex] \frak{x = \cancel\frac{21}{3} }[/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \bold{ \frak{{ \red{x = 7}}}} }}[/tex][tex] \: [/tex]
hope it helps!:)
A rectangular lawn measures 10 m by 5 m. A uniform border of flowers is to be planted along two adjacent sides of the lawn. If the flowers that have been purchased will cover an area of 150 m^2, how wide is the border?
The border must have a width of 10 meters.
How wide is the border?We first have a rectangular lawn of 10m by 5m, so if we have a border with a width of x meters, the area of the border is given by:
A = 10m*x + 5m*x
Where we compute the area in that way because the flowers will be only on two adjacent sides of the rectangle.
And the area is 150 m^2, then we will get:
150m^2 = 10m*x + 5m*x
150m^2 = 15m*x
150m^2/15m = x
10m = x
The border has a width of 10 meters.
Learn more about areas at:
https://brainly.com/question/24487155
#SPJ1
The function g is defined by the following rule. g(x) = 2x + 5 Complete the function table.
Step-by-step explanation:
The function g is defined by the rule g(x) = 2x + 5. To complete the function table, we need to substitute different values of x into the function and find the corresponding output values.
Table:
⬇️
x g(x)
1 2*1 + 5 = 7
2 2*2 + 5 = 9
3 2*3 + 5 = 11
4 2*4 + 5 = 13
5 2*5 + 5 = 15
And so on, for any value of x you can substitute it into the function g(x) = 2x + 5 and you will get the result.
Last questions on circle 3 please. Points at 50 and I’ll give brainly.
[tex]-9^2=-(9^2)=-81[/tex], whereas [tex](-9)^2=9^2=81[/tex].
This is because of the order of operations.
Based on the national food survey called What We Eat in America, about 75% of the United States population has an eating pattern that is low in which of the following?
Fruits
Answer: Fruits
Step-by-step explanation:
Fruits!
About 75% of the United States population has an eating pattern that is low in fruits.
What is percent?A percent(%) is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.
Here,
Approximately 75% of the US population has a low-fruit eating trend.
To know more about percent,
https://brainly.com/question/14661262
#SPJ4
Suppose that a colony of Jeevesium beetles grows exponentially with doubling time 9 years. How many years does it take for the colony to triple in size? (Give the answer as a decimal number with no units. Round to three decimal places.)
The population of Jeevesium beetles is tripled in a time of approximately 14.265 years.
How to predict the population of a colony of Jeevesium beetles
The statement indicated that a colony of Jeevesium beetles double its population every 9 years and we are required to find the number of years such that the population is tripled, the prediction model for population growth is shown below:
[tex]p(t) = p_{o}\cdot 2^{\frac{t}{9}}[/tex]
Where:
p₀ - Initial populationp(t) - Current populationt - Time, in yearsIf we know that p(t) / p₀ = 3, then the time needed for the colony of Jeeversium beetles is:
[tex]3 = 2^{t / 9}[/tex]
㏒₂ 3 = t / 9
t = 9 · ㏒₂ 3
t ≈ 14.265
To learn more on doubling times: https://brainly.com/question/30396066
#SPJ1
A hore heart beat 440 time in 10 minute. A cow heart beat 390 time in 6 minute. Which animal ha a greater heart rate?
A horse has a greater heart rate.
Heart Rate Comparison AnimalsTo compare the heart rate of two animals, we need to convert the number of beats per minute (bpm).
A horse's heart beats 440 times in 10 minutes, which is equivalent to 44 bpm (440 beats / 10 minutes).
A cow's heart beats 390 times in 6 minutes, which is equivalent to 65 bpm (390 beats / 6 minutes).
So, we can see that a horse has a heart rate of 44 bpm, while a cow has a heart rate of 65 bpm. Hence, a cow has a greater heart rate compared to a horse.
Generally, ini animal subject, not always calculate like this. This comparison is specific to horses and cows. The heart rate of different species of animals can vary significantly, and it is not possible to make a general statement about the heart rate of all animals based on the comparison of just two species. Additionally, the heart rate of animals can vary based on factors such as age, weight, stress, and activity level, among others.
Learn more about Heart Rate Comparison Animals here:
https://brainly.com/question/29088720
#SPJ4
The membership at Gym A costs $20 to join for 1 month plus $3 per visit. The membership at Gym B costs a flat rate of $40 for 1 month.
If you join Gym A, it will cost $20 to join for 1 month plus $3 per visit. If you visit the gym x times, your total cost will be 20 + 3x dollars.
If you join Gym B, it will cost a flat rate of $40 for 1 month.
To determine which membership is more cost-effective, you would need to compare the costs for different number of visits. For example, if you plan to visit Gym A 10 times in a month, your total cost would be 20 + 3(10) = $50. If you plan to visit Gym B only 2 times in a month, membership B is more cost-effective. If you plan to visit more than 13 times, membership A is more cost-effective.
It would be helpful to make a table with different number of visits to compare the cost of both gym memberships.
Solutions to Systems of Linear Inequalities in Two Variables
A ordered pair that satisfies the inequality statement serves as the solution for linear inequalities involving two variables.
How many possible solutions does a two-variable linear inequality have? A ordered pair that satisfies the inequality statement serves as the solution for linear inequalities involving two variables.For example, if the linear inequality Ax + By > C has two variables, x and y, then the needed solution will be an ordered pair (x, y) that satisfies the statement.Several options infinity.A single linear inequality has an unlimited number of solutions since the solution set is always a half-plane.The number of solutions to a linear inequality in two variables is hence limitless.The area of the plane where all of the individual lines' shading overlaps is the area where the linear inequality system's solutions can be found.To learn more about linear inequalities refer
https://brainly.com/question/28484221
#SPJ1
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x − 6)(x + 4)
B.
f(x) = (x + 6)(x + 4)
C.
f(x) = (x − 6)(x − 4)
D.
f(x) = (x + 6)(x − 4)
The function corresponding to zeroes 6 and -4 is f(x)=(x-6)(x+4) i.e. A.
What is a function?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
There are several types of functions in math. Some important types are:
Injective function or One to one function: When there is mapping for a range for each domain between two sets.
Surjective functions or Onto function: When there is more than one element mapped from domain to range.
Polynomial function: The function which consists of polynomials.
Inverse Functions: The function which can invert another function.
Now ,
We can find function for zeroes 6 and -4 by putting f(x)=0
Therefore,
(x-6)(x+4)=0
x-6=0 and x+4=0
Hence,
x=6,-4
The function corresponding to zeroes 6 and -4 is f(x)=(x-6)(x+4).
To know more about functions visit the link
https://brainly.com/question/12431044?referrer=searchResults
#SPJ1
An isosceles triangle has base angles that each measure 64°. Which equation can be used to find n, the measure of the third angle of this isosceles triangle in degrees?
Answer:
Below
Step-by-step explanation:
The interior three angles of a triangle sum to 180°
you know tow of them are 64 degrees
so the third one is 180 - 64 - 64 or 180 °- 128°
You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest. Your friend’s account earns 6% simple annual interest. How long does it take for you to earn $12 in interest? How long does it take for your friend to earn $12 in interest?
I earn $12 in interest after 12 years while my friend earns the same amount in 4 years.
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: My principal = $50 and friend's =$50 also friend's account earns 6% annual interest rate
As per question we get
let the time taken to earn $12 interest rate be t then
12=50×2×t /100
t=12 years
while for my friend
12=50×6×t /100
3t=12
t=4 years
Hence, I earn $12 in interest after 12 years while my friend earns the same amount in 4 years.
Learn more about simple interest here:
https://brainly.com/question/25845758
#SPJ1
emily convinced her mom to buy a giant box of her favorite cereal. her mom doesn't think the box will fit on their shelf. the volume of the box is 10 , 000 10,00010, comma, 000 cm 3 3 cubed. the base of the box is 25 2525 cm by 10 1010 cm. how tall is the box of cereal?
an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is t minimize the time it takes to travel from $a$ to $b$?
i need help and i need it ASAP
The requried simplified value of the given exponential expression is 1.
what is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
F = [25x²y¹⁴w³]⁰
Since a⁰ = 1
F = 1
Thus, the requried simplified value of the given exponential expression is 1.
Learn more about exponential function here:
brainly.com/question/15352175
#SPJ1
The student council at
Lonestar High School is selling tickets to prom. They are selling senior tickets for $20 and junior tickets for $30. So far they have sold 426 tickets and have made $10,390. Write a system of equations that represents this scenario and choose the best method for solving based on how the equations are set up.
HELP!!!
Answer:
number of senior tickets = 239
number of junior tickets = 187
Step-by-step explanation:
let 's' = number of senior tickets
let 'j' = number of junior tickets
20s + 30j = 10390
s + j = 426
we could use the substitution method to solve the system by making
s = 426-j
we can substitute '426-j' in for 's' in the first equation to get:
20(426-j) + 30j = 10390
8520 - 20j + 30j = 10390
8520 + 10j = 10390
10j = 1870
j = 187
s + 187 = 426
s = 239
A thin wire of linear charge density ????λ is bent in the form of a triangle "ABC" and an imaginary cube of side 'a' is taken with vertex "A" at the centre of the top face and vetices B, C at the opposite edge centre of the bottom face.The total electric flux linked with the cube is
The total electric flux linked with the cube is .
Electric flux is a characteristic of an electric field and refers to the quantity of electric lines of force (or electric field lines) that span a given area. This hypothesis states that electric field lines have positive electric charges at the beginning and negative electric charges at the end. Field lines pointing toward a closed surface are deemed negative, whereas those pointing away from it are deemed positive.
The electric field inside a charged conductor is zero, and since the wire is a conductor, the electric field inside the cube is zero.
Hence, the total electric flux linked with the cube is also zero.
To learn more about flux here:
https://brainly.com/question/29665619
#SPJ4
Factor each Polynomial:
1. 2b^2+10b+12
2. 4x^2+4x-3
3. 6m^2+7m-3
4. 10x^2-9x+6
5. 18h^2+15h-18
QUICK PLEASE!!!!!!!
Answer:
2b^2+10b+12 = 2(b^2+5b+6) = 2(b+3)(b+2)
4x^2+4x-3 = 4(x^2+x-3/4) = 4(x+3/2)(x-1/2)
6m^2+7m-3 = 6(m^2+m-1/2) = 6(m+1/2)(m-1/2)
10x^2-9x+6 = 10(x^2-x+6/10) = 10(x-1/2)(x-3/2)
18h^2+15h-18 = 18(h^2+5/6h-1) = 18(h+3)(h-2)
A swim instructor would like to test the effect of a new swim technique versus the standard technique for a group of 25 competitive swimmers.
The swim instructor divides the students by class (junior or senior), and then randomly allocates half of the 14 juniors and 5 of the 11 seniors to receive instruction on the new technique.
During swim practice, the instructor times the juniors as they race against each other to see if those who learned the new technique outperform their peers. The instructor does the same for the seniors.
At the end of practice, the instructor compares the average swim time for both juniors and seniors among those who did and did not use the new technique.
What type of experimental design did the instructor use?
A) matched pairs experimental design
B) completely randomized experimental design
C) randomized block experimental design
D) none (observational study only)
C) randomized block experimental design.
What type of experimental design did the instructor use?The swim instructor used a randomized block experimental design for their experiment.This type of experimental design involves dividing the participants into groups (in this case, juniors and seniors) and then randomly allocating half of each group to receive instruction on the new technique.This helps to control for any potential confounding variables, such as age, that could affect the results of the experiment.By comparing the average swim time for both juniors and seniors among those who did and did not use the new technique, the instructor can determine if the new technique has an effect on swim performance.This type of experimental design is often used when the experimenter wants to compare the effects of a treatment or intervention between two or more groups with similar characteristics.To learn more about experimental design refer to:
https://brainly.com/question/17280313
#SPJ1
Answer:c
Step-by-step explanation:
Can someone please please help mke i was suppose to finnish this at least 4 weeks ago please can someone answer these 3 question for at leat 150 or 200 points.
Answer:
1/6, 6, 10, and then 8:1/3, 4:1/6, 6:1/4, 10:5/12
Step-by-step explanation:
1) From 8 meters to 4 meters is 8 multiplying 1/2=4, so 1/3 multiplying 1/2 is 1/6; or 8 multiplying x=4, x=1/2, so 1/3 multiplying 1/2=1/6
2) 1/3 multiplying x= 1/4, so x=3/4
8 multiplying 3/4=6
3) 1/3 multiplying x=5/12, so x=5/4
8 multiplying 4/5=10
Equivalent ration:
8:1/3, 4:1/6, 6:1/4, 10:5/12
Provide the answer to question number 5
The function value that us greater is with estimated value of 96
How to find the estimated value?The estimated value is the value read from the graph which gives the accumulated value for each of the line
The first line gives an estimated value of
10+14+18+19+28 = 89
The second graph gives gives an estimated value of
17+18+19+20+22 = 96
Therefore comparing the two graphs, the one with 96 has the greater value
Learn more about a graph on https://brainly.com/question/17267403
#SPJ1
In baseball, a player's slugging ratio is (s + 2d + 3t + 4h)/b, where:s = number of singlesd = number of doublest = number of triplesh = number of home runsb = times at batLucase came to bat 35 times during the season and hit 18 singles, 2 doubles, 0 triples, and 1 home run. What is Lucas's slugging ratio, rounded to the nearest thousandth?: *A) 0.714B) 0.829C) 0.629D) 0.743
Lucas's slugging ratio, rounded to the nearest thousandth is 0.743.
Therefore the answer is D) 0.743.
To find Lucas's slugging ratio, we first need to calculate the numerator of the equation:
number of singles, s = 18 singles
number of doubles, d = 2 doubles
number of triples, t = 0 triples
number of home runs, h = 1 home run
numerator = (s + 2d + 3t + 4h) = (18 + 2 * 2 + 3 * 0 + 4 * 1) = 26
denominator = b = 35 times at bat
Lucas's slugging ratio is numerator / b
= 26 / 35
= 0.743
To know more on ratio
https://brainly.com/question/13419413
#SPJ4
dentifying a Constant of Proportionality
onsider the equation y = 4.2x and the table below that
presents this relationship.
x
0
2
4
6
Y
0
8.4
16.8
25.2
The coefficient of the equation or constant of
proportionality is
Answer:
Step-by-step explanatio
23.2
8.6 more than the product of 3 and a number y.
Write phrase as an expression
y = 24
The formula "3y + 8.6 = 24" can be expressed as "8.6 greater than for the combination of 3 and just a number y."
How should a phrase be written?Mathematical operators like addition, deletion, multiply, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.For instance, the mathematical equation for "4 increased to 2" will be 2+4.
What is a mathematical expression?A mathematical expression is formed of a statement, at least two integers or variables, and one or more arithmetic. This mathematical operation enables the multiple, division, modification, or subtraction of numbers. The the above is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
To know more about Expression visit :
https://brainly.com/question/30350742
#SPJ1
in class 12A there are 40 students, 12 have blue eyes, 4 have green and 24 have brown in class 12B there are 50 students, 21 have blue eyes, 2 have green and 27 have brown one person is chosen at random from each class to represent the sixth form what is the probability of:
P(different colours)
P(both blue)
P(one brown)
Answer: P(different colours) = 1 - P(same colours) = 1 - (3/10 * 42/100) - (1/10 * 4/100) - (6/10 * 54/100) = 1 - (3/25) - (1/250) - (27/25) = 1- 61/250 = 189/250
P(both blue) = (3/10) * (42/100) = 3/25
P(one brown) = (6/10) + (54/100) - (6/10) * (54/100) = (6/10) + (54/100) - (27/250) = (24/25) - (27/250) = 973/1000
Step-by-step explanation:
To find the probability of different colours, we need to find the probability that the student chosen from class 12A has a different eye color than the student chosen from class 12B.
The probability of the student from class 12A having blue eyes is 12/40 = 3/10.
The probability of the student from class 12A having green eyes is 4/40 = 1/10.
The probability of the student from class 12A having brown eyes is 24/40 = 6/10.
The probability of the student from class 12B having blue eyes is 21/50 = 42/100.
The probability of the student from class 12B having green eyes is 2/50 = 4/100.
The probability of the student from class 12B having brown eyes is 27/50 = 54/100.
To find the probability of different colours, we need to find the probability that the student chosen from class 12A has a different eye color than the student chosen from class 12B.
P(different colours) = 1 - P(same colours) = 1 - (3/10 * 42/100) - (1/10 * 4/100) - (6/10 * 54/100) = 1 - (3/25) - (1/250) - (27/25) = 1- 61/250 = 189/250
To find the probability of both blue eyes, we need to find the probability that the student chosen from class 12A has blue eyes and the student chosen from class 12B also has blue eyes.
P(both blue) = (3/10) * (42/100) = 3/25
To find the probability of one brown eye, we need to find the probability that either the student chosen from class 12A or the student chosen from class 12B have brown eyes.
P(one brown) = (6/10) + (54/100) - (6/10) * (54/100) = (6/10) + (54/100) - (27/250) = (24/25) - (27/250) = 973/1000
It's important to note that these probability calculations assume that the two students are chosen independently and at random, one from each class. And all the students are different from each other.
what is 40% as a decimal
