hi! i’m struggling with this and don’t know where to start! need work shown and a step by step explanation for 1 and 2 would be helpful!! thanks x
The probabilities are given as follows:
1) Blue eyes: 0.132.
2) Female with green eyes: 0.09.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The total number of people is given as follows:
20 + 25 + 30 + 15 + 10 + 12 + 15 + 20 + 10 + 10 = 167.
10 + 12 = 22 people out of 167 have blue eyes, hence the probability is given as follows:
p = 22/167 = 0.132.
15 people out of 167 are female with green eyes, hence the probability is given as follows:
p = 15/167 = 0.09.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
1. Expected value and Bivariate Probability. The Chamber of Commerce of a Canadian city
has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received
a rating of 1-3 on its meal price (1 = least expensive; 3 = most expensive), and quality (1 =
lowest quality; 3 = greatest quality). Below is a crosstabulation of the rating data.
Meal Price (y)
Quality (x) 1 2 3 Total
1 42 39 3 84
2 33 63 54 150
3 3 15 48 66
Total 78 117 105 300
a. Develop a bivariate probability distribution for quality and meal price of a randomly selected
restaurant in this Canadian city. Let x = quality rating and y = meal price.
b. Compute the expected value for quality rating, x.
c. Compute the expected value for meal price, y.
d. The Var(x+y) = 1.6691. The Var(x) = 0.4964. The Var(y) = 0.6019. Compute the covariance
of x and y. What can you say about the relationship between quality and meal price. Is this what
you would expect?
e. Compute the correlation coefficient between quality and meal price. What is the strength of
the relationship? Do you suppose it is likely to find a low-cost restaurant in the city that is also
high quality? Why or why not?
a) Let x denote the quality rating and y denote the meal price.
b. From the above table, the marginal density function of x is 1.94
c. From the probability table, the marginal density function of y is 2.09
What is the Probability Distribution Table?The probability distribution table for quality and meal price is obtained by dividing each and every frequency by the total frequency of 300 is attached in the image.
The probability distribution is obtained in the attached image below.
The expected value of x is,
1 x 0.28 + 2 x 0.50 + 3 x 0.22
= 1.94
To find the marginal density function of y
1 x 0.26 + 2 x 0.39 + 3 x 0.35
= 2.09
Given that var(x+y)=1.6691
var(x)=0.4964 and var(y)=0.6019
var(x+y) =1.6691
var(x) + var(y) +2* cov(x,y)=1.6691
0.4964+0.6019+ 2 *cov(x,y) =1.6691
1.0983+ 2 * cov(x,y) =1.6691
2 * cov(x,y) =1.6691-1.0983
2* cov(x,y)=0.5708
cov(x,y) =(0.5708)/2
cov(x,y)= 0.2854
Thus, the covariance of x and y is, 0.2854.
Here, the covariance of x and y is positive.
Thus, the relationship between quality and meal price is positive.
If the quality of the meal increases then the meal price also increases.
Yes, the expected result is positive because if the quality of the meal is good then meal price increases.
Read more about probability here:
https://brainly.com/question/24756209
#SPJ1
Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A) 450
B) 46
C) 12
D) 10
450, 46, 12
46, 12, 10
450, 10, 12
46,450,10
Step-by-step explanation:
The mixture of any three would be the possibilities
450, 46, 12
46, 12, 10
450, 10, 12
46,450,10
please help ASAP! Show ur work
The linear equations represented by graph are y=6-2.5x and y=0.8x.
What is a linear equation, exactly?
When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.
Now,
In given graph for y=6-2.5x
when x y
1 3.5
2 1
and for y=0.8x
when x y
1 0.8
2 1.6
hence,
The linear equations represented by graph are y=6-2.5x and y=0.8x as shown in the image.
To know about linear equations visit the link
https://brainly.com/question/29739212
#SPJ1
Data from www.centralhudsonlabs.com determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. Assume the number of fragments follows a Poisson distribution.
a. If you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
b. Suppose you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level. What is the probability of no insect contaminants?
c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, what is the probability that you consume one or more insect fragments in more than one bar?
d. Is the probability of contamination more than twice the mean of 14.4 unusual, or can it be considered typical variation? Explain.
a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:
[tex]P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831[/tex]
b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:
[tex]P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032[/tex]
c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.
The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:
[tex]$$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$[/tex]
d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:
[tex]P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001[/tex]
This probability is extremely small, so it can be considered unusual and not typical variation.
https://brainly.in/question/39769270
#SPJ1
What is 50% of 36??Please help me
The value of expression 50% of 36 is,
⇒ 50% of 36 = 18
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The expression is,
⇒ 50% of 36
Now, We can simplified as;
The expression is,
⇒ 50% of 36
By definition of percent we get;
⇒ 50/100 × 36
⇒ 1/2 × 36
⇒ 36/2
⇒ 18
Thus, The value of 50% of 36 is,
⇒ 50% of 36 = 18
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ9
Find the area of the irregular figure. Use 3.14 for π. Show your work. Round to the nearest tenth
The area of the irregular figure to the nearest tenth is 8.12 sq. ft.
What are irregular figures?Shapes classified as irregular lack both equal sides and equal angles. The entire area occupied by an irregular shape on a two-dimensional plane is referred to as the shape's area. An irregular form can be split into a number of regular shapes, such as triangles, squares, and rectangles, to determine its area. The area of those smaller shapes can then be added to determine the total area.
Given that, the diameter of the semicircle= 2.8 ft.
The radius of the semicircle = 1.4 ft.
The area of the semicircle is:
A = πr² / 2
A = (3.14)(1.4)²/2
A= 3.077 sq. ft
The area of the triangle is given as:
A = 1/2(b)(h)
A = 1/2(2.8)(3.6)
A = 5.04 sq. ft
The area of the irregular figure is:
A = Area of semicircle + area of triangle
A = 3.077 + 5.04
A = 8.117 sq. ft
Hence, the area of the irregular figure to the nearest tenth is 8.12 sq. ft.
Learn more about shapes here:
https://brainly.com/question/28756579
#SPJ1
8 The River Indus is about 3200 km long. a The Mississippi is about 19% longer than the Indus. How long is the Mississippi? b The Rhine is about 62% shorter than the Indus. How long is the Rhine?
Answer:
the Rhine River is approximately 1216 km long
Step-by-step explanation:
a) If the Mississippi River is 19% longer than the Indus River, we can find its length by multiplying the length of the Indus River by 1.19:
Length of Mississippi River = 3200 km x 1.19 = 3808 km
Therefore, the Mississippi River is approximately 3808 km long.
b) If the Rhine River is 62% shorter than the Indus River, we can find its length by multiplying the length of the Indus River by 0.38 (100% - 62% = 38%):
Length of Rhine River = 3200 km x 0.38 = 1216 km
Therefore, the Rhine River is approximately 1216 km long.
If S$1.00 = NRs 80.00 If Shyam wants to send NRs 20,000 to Nepal, how many S$ does he need?
Answer:
S$ 250
Step-by-step explanation:
we can solve this by dividing 20,000 NRs by 80 since S$1.00 = NRs 80
Match the vocabulary term to its correct definition
To match the terms to their correct definitions, we have:
Kite - A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.Parallelogram - A quadrilateral with both pairs of opposite sides parallelRectangle - A parallelogram with four right angles.Trapezoid - A quadrilateral with exactly one pair of parallel sides. Rhombus - A parallelogram with four congruent sides and four right angles.What is a quadrilateral?A quadrilateral refers to a two-dimensional shape that has four sides, four vertices, and four angles.
There are different categories of quadrilaterals, such as trapezium, kite, parallelogram, rectangle, rhombus, and square.
The sides of a quadrilateral can be of different lengths and the angles can be of different measures.
Some types of quadrilaterals such as squares, rectangles, rhombus, etc. are special with some of their sides and angles being equal.
Learn more about a quadrilateral at brainly.com/question/1190071.
#SPJ1
Hiking Trails The Farina family spent a week at the state park. Christine hiked the Evergreen trail twice and the Yellow River trail once. Brian hiked each of the three longest trails once. How many more miles did Brian hike than Christine?
Answer:
Brian hiked 6 1/2 more miles than Christine.
Step-by-step explanation:
Ok. 5.25+4.75+6-2*4.75=6.5 or 6 1/2 more miles.
A claw arcade machine contains stuffed animals and mystery boxes.
There are 63 items in the machine. Winning a stuffed animal has twice as
many favorable outcomes as winning a mystery box. How many of each
item is in the machine?
A claw arcade machine contains stuffed animals and mystery boxes.
A claw arcade machine is a popular type of game machine found in many arcades and amusement parks. It typically consists of a glass cabinet that contains a variety of stuffed animals and other prizes, such as mystery boxes, that can be won by using a mechanical claw.
The player inserts a designated amount of money and then uses the joystick to position the claw over the desired prize. Once the player is satisfied with the claw's position, they press a button to make the claw descend and attempt to grab the prize. If the claw is successful in grabbing the prize, it will lift it up and drop it into the prize chute, where the player can then collect it.
The prizes in a claw machine can vary from small plush toys to larger stuffed animals, and even mystery boxes that contain unknown items or a chance to win a bigger prize. The claw's strength and grip are adjustable, which can make winning a prize more difficult or easier depending on the machine's settings.
Claw machines are a popular form of entertainment for all ages, and the thrill of successfully grabbing a coveted prize can be a source of excitement and satisfaction for players.
To more about machine :https://brainly.com/question/2555822
#SPJ1
n environmental agency frequently samples the water in a region to ensure that the levels of a certain contaminant do not exceed 30 parts per billion (ppb). From 12 randomly selected samples of the water, the agency constructed the 99 percent confidence interval (22.5, 28.7).
We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb
The correct interpretation of the interval is " We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb "
What is confidence interval?
In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.
We need to find correct interpretation of the interval.
Among all answer choices given, the correct option is :
We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb
To Learn more about the confidence interval form the link:
https://brainly.com/question/15712887
#SPJ1
Use a direct proof to show that the product of two rational numbers is rational.
We have shown that the product of two rational numbers is rational.
What is Number system?A number system is defined as a system of writing to express numbers.
Let a and b be two rational numbers, such that:
a = p/q
b = r/s
where p, q, r, and s are integers and q, s are non-zero.
We need to show that the product ab is also a rational number.
We have:
ab = (p/q) x (r/s)
= (p x r) / (q x s)
Since p, q, r, and s are all integers,
ab = m/n
where m = p x r and n = q x s.
Since both m and n are integers and n is non-zero ,we can conclude that ab is a rational number.
Therefore, we have shown that the product of two rational numbers is rational.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ1
Please help I need help so badly
Step-by-step explanation:
area3.14×18×18
1017.36ft²
circumference2×3.14×18
113.04ft
An item is regularly priced at $15. John bought it at a discount of 35% off the regular price. How much did John pay
Answer:
Step-by-step explanation:
Item: $15
on sale:$15 -35% or 15*7/20=
$9.75~
An installment loan is made for 36 monthly payments of $160.43. The loan carries an APR of 11%, and the finance charge associated with the loan is $875.48. Instead of making the twenty-fourth payment, the borrower decides to pay the remaining balance and terminate the loan. (Refer to an APR table as necessary.)
a. Use the actuarial method to determine how much interest will be saved by repaying the loan early.
b. By using the actuarial method, what is the total amount due on the day of the loan's termination?
c. Use the rule of 78 to determine how much interest will be saved by repaying the loan early.
d. By the rule of 78, what is the total amount due on the day of the loan's termination.
For an acute angle θ, the equation sin(θ) = cos(6) is true. what is the value of θ? Show or explain your answer
Answer:
84 deg
Step-by-step explanation:
cos(x)=sin(90-x)
90-x=6
x=84
Hello I’m having a hard time with question
[-1.5, 3.5] and [-2, infty) are the range and domain of the equation.
Determining the domain and range of a quadratic functionQuadratic function are functions that have a leading degree of 2.
The domain of the function are values that lies along the x-axis of the graph. Hence the domain of the curve will be [-1.5, 3.5]
The range of the function are values that lies along the y-axis of the graph. Hence the domain of the curve will be [-2, infty)
Hence the range and domain of the graph are [-1.5, 3.5] and [-2, infty)
Learn more on domain and range here: https://brainly.com/question/10197594
#SPJ1
Gage stocks two ponds with bass and bluegill.
He stocks Pond A with 60 fish and Pond B with
300 fish. Gage stocks Pond B with twice the
amount of bass and six times the amount of
bluegills as Pond A. How many bass and
bluegills does Gage stock in Pond A?
The requried, Gage stocks Pond A with 15 bass and 45 bluegills.
What is equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let x be the number of basses in Pond A.
Then the number of bluegills in Pond A is 60 - x.
According to the problem, Pond B has twice the number of bass as Pond A, so there are 2x bass in Pond B.
Similarly, Pond B has six times the number of bluegills as Pond A, so there are 6(60 - x) bluegills in Pond B.
The total number of fish in Pond B is 300, so we can set up an equation:
2x + 6(60 - x) = 300
Simplifying and solving for x, we get:
2x + 360 - 6x = 300
-4x = -60
x = 15
Therefore, Gage stocks Pond A with 15 basses and 45 bluegills.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ1
You’re trying to save to buy a new $230000Ferrari. You have $31000 today that can be invested at your bank. The bank pays 4.5 percent annual interest on its accounts. How long will it be before you have enough to buy the car? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
We can use the formula for compound interest to find the time it will take to reach the target amount:
FV = PV * (1 + r)^t
where FV is the future value (target amount), PV is the present value (amount you have today), r is the interest rate, and t is the time (in years).
Substituting the given values, we get:
230000 = 31000 * (1 + 0.045)^t
Simplifying and solving for t, we get:
t = log(230000/31000) / log(1 + 0.045)
t ≈ 14.09
Therefore, it will take approximately 14.09 years to save enough to buy the Ferrari.
is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction
Answer:
0 = 0 (All real numbers are solutions.)
Step-by-step explanation:
is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction
-2(-12y + 5) + 4 - 8(3y - 2) + 22 = 0
24y - 10 + 4 - 24y - 16 + 22 = 0
-6 - 16 + 22
- 22 + 22 = 0
0 = 0 (All real numbers are solutions.)
Solve this system of equations by substitution or by linear combination
Answer:
No solution
Step-by-step explanation:
2x - 4y= -6 ----- eq(1)
-x + 2y = -2 ----- eq(2)
Simplifying eq(1) by taking 2 as common,
2(x-2y) = 2(-3)
x - 2y= -3 -----eq(1)
from eq(1)
x - 2y = -3
x = -3 + 2y ---eq(3)
substituting eq(3) into eq(2)
-(-3 + 2y) + 2y = -2
3 - 2y + 2y = -2
3 = -2
Therefore This pair of linear Equations Has No Solution
A regular pentagon has an area of 118.25 square meters, and each side of the pentagon measures 4.3 meters.
What is the length of an apothem of the pentagon?
Enter your answer in the box.
m
The length of the apothem of the pentagon is approximately 11 meters.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons etc.
Here, we have,
To solve this problem, we can use the formula for the area of a regular pentagon:
A = (5/2) × s × a
Where A is the area of the pentagon, s is the length of one side, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).
We know that the area of the pentagon is 118.25 square meters and the length of one side is 4.3 meters. We can substitute these values into the formula and solve for the apothem:
118.25 = (5/2) × 4.3 × a
Divide both sides by (5/2) x 4.3:
a = 118.25 / ((5/2) × 4.3)
= 118.25 / 10.75 ≈ 11 meters
Therefore, the length of the apothem of the pentagon is approximately 11 meters.
Learn more about polygon here:
brainly.com/question/24464711
#SPJ1
Write one complete sentence to interpret the solution of the graph below.
The interpretation of the solution of the graph can be: the solution (6, 64) on the graph represents that after 6 minutes, there are 64 gallons of water.
How to Interpret the Solution of a Graph?The solution to a system that is plotted on a graph is the coordinates of the point interception of the graph.
Therefore, the solution (6, 64) represents a point on the graph of a relationship between time in minutes (represented by the x-axis) and water in gallons (represented by the y-axis).
The solution tells us that at 6 minutes, the water level is 64 gallons. In other words, (6, 64) on the graph, represents the amount of water in the tank over time.
Learn more about the solution of a graph on:
https://brainly.com/question/25799000
#SPJ1
Need help!!
An individual borrowed $95,000 at an APR of 5%.
which will be paid off with monthly payments of $ 450 for 25 years.
Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest?
Percentage of amount paid towards principal = 70.37%
Percentage of amount paid towards interest = 29.63%
What is APR?APR is abbreviation Annual Percentage Rate. APR is estimate cost over a year of borrowing, It is expressed in percentage of the money borrowed. The higher it is, the more expensive to borrow. The lower it is, the cheaper it'll be to borrow.
Given,
Principal amount (P) = $95000
APR (R) = 5% = 0.05
Time (T)= 25 years
Amount paid monthly $450 for 25 years
There are 12 payments every year for 25 years
No. of payments,
12 × 25 = 300.
Total amount paid
3000 × $450 = $135000.
Amount paid toward Principal = $95,000
In percentage
= (95000/135000)×100
= 70.37%
Toward Interest = $135000 - $95000 = $40000
In percentage
= (95000/135000)×100
= 29.63%
Hence, 70.37% of amount is paid toward principal and 29.63% is paid for interest.
Learn more about APR here:
https://brainly.com/question/14184570
#SPJ1
Answer:
Step-by-step explanation:
To determine what percentage of the total amount paid is applied towards the principal and interest, we first need to calculate the total amount paid over the 25-year term.
The monthly payment can be calculated using the formula for a loan payment:
P = (r(PV)) / (1 - (1+r)^(-n))
where P is the monthly payment, r is the monthly interest rate (APR / 12), PV is the present value of the loan (or the amount borrowed), and n is the total number of payments (25 years * 12 months/year = 300).
Plugging in the given values, we get:
P = (0.05/12 * $95,000) / (1 - (1+0.05/12)^(-300)) = $536.82
This means that the total amount paid over the 25-year term is:
Total amount paid = 300 * $536.82 = $161,046
The amount borrowed (or the principal) is $95,000. Therefore, the amount of interest paid over the 25-year term is:
Total interest paid = $161,046 - $95,000 = $66,046
To find the percentage of the total amount paid that is applied towards the principal, we can divide the principal by the total amount paid and multiply by 100:
Percentage of total amount paid towards principal = ($95,000 / $161,046) x 100% = 59.03%
To find the percentage of the total amount paid that is applied towards interest, we can divide the interest paid by the total amount paid and multiply by 100:
Percentage of total amount paid towards interest = ($66,046)
A wedding cake has two layers as shown. Each layer is in the shape of cube. The bottom of the cake and the area where the two cakes meet is nit frosted. What is the area that will be frosted on the bottom layer?
The area that will be frosted on the bottom layer 680
What are the basic mathematical operations?
The four basic mathematical operations are Addition, subtraction, multiplication, and division.
1. Find the smaller cake first with (lw*amount of sides) and then add it to the larger cake using the same formula.
6*6*6+10*10*6
This equals 816
2. Find the amount not frosted. The bottom and the connection. Simply, (lw).
6*6+10*10
This equals 136
3. Subtract 136 from 816.
816-136= 680 sq inches
Hence, The area that will be frosted on the bottom layer 680
To learn more about basic mathematical operations, Visit
https://brainly.com/question/20628271
#SPJ1
I'll give brainliest
Answer: C) (1, -1)
Step-by-step explanation:
[tex]\boldsymbol{\sf{\underline{\diamond System \ of \ equations \ by \ the \ reduction \ method:} }}[/tex]
[tex]\boldsymbol{\sf{We\:have\:the\:system\:of\:equations \ --\to \ \left \{ {{x+2y=1 \ } \atop {2x-3y=5 }} \right. }}[/tex]
Multiply the first equation by 2, and the second equation by -1, then both equations must be added.
[tex]\boldsymbol{\sf{\star \ 2(x+2y=-1) }}\\ \boldsymbol{\sf{\star -1(2x-3y=5) }}[/tex]
We add these equations to eliminate x.
[tex]\boldsymbol{\sf{\star \ 7y=-7 }}[/tex]
Then we solve 7y=-7 for y (divide by 7).
[tex]\boldsymbol{\sf{\star \ \dfrac{7y}{7}=\dfrac{-7}{7} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ y=-1}}}[/tex]
We place the found value of y, in one of the original equations y to solve for x.
[tex]\boldsymbol{\sf{\star \ x+2y=-1}} \\ \\ \boldsymbol{\sf{\star \ x+2(-1)=-1}}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}[/tex]
Simplify (We add x to both sides.)
[tex]\boldsymbol{\sf{\star \ 0+(x)=-x+1+(x) }}\\ \\ \boldsymbol{\sf{\star \ x=1}}\\ \\ \boldsymbol{\sf{\star -2=-1-x}}[/tex]
Add (2) to both sides.
[tex]\boldsymbol{\sf{\star \ -2+(2)=-x-1+(2) }}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}[/tex]
We divide by 1.
[tex]\boldsymbol{\sf{\star \ \dfrac{x}{1}=\dfrac{1}{1} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ x=1}}}[/tex]
[tex]\underline{\bf{ \ \ x,y \ answer\ \ \ \ }}\\\boxed{\boldsymbol{\sf{x=1,y=-1 }}}[/tex]
Learn more about systems of equations in https://brainly.com/question/20178040
which polynomial represents the difference below 12x^3+7x+3-(3x^7+4x)
Answer:
The polynomial that represents the difference of 12x^3+7x+3 and 3x^7+4x is 12x^3-3x^7+7x-4x.
2. Determine la mediana y los valores correspondientes al primer y tercer cuartiles en los siguientes datos.5.24 6.02 6.67 7.30 7.59 7.99 8.03 8.35 8.81 9.45 9.61 10.37 10.39 11.86 12.22 12.71 13.07 13.59 13.89 15.42
The average is 9.99, the very first percentile is 8.01, as well as the upper quartile is 13.33 as a result.
The 4 quartiles are what?From smallest to highest number, 25% is the first quartile. Second quartile: 25.1% to 50% (till median) 51% to 75%, third quartile (above the median) 25% of the biggest values are in the fourth quartile.
The data must first be arranged in ascending order before we can calculate the median or quartiles of the provided data:
5.24, 6.02, 6.67, 7.30, 7.59, 7.99, 8.03, 8.35, 8.81, 9.45, 9.61, 10.37, 10.39, 11.86, 12.22, 12.71, 13.07, 13.59, 13.89, 15.42
There are a total of 20 data points, and the median is calculated as that of the average of a 10th and 11th pieces of data:
(9.61 + 10.37) / 2 = 9.99; median
The very first quartile (Q1) must be determined in order to determine.
To know more about Quartiles visit:
https://brainly.com/question/7039036
#SPJ1