Answers
The answer for the first line segment : (-3,-7) (-4,0)
The answer for 2nd line segment is :(-3,8) (-9,-5)
Step-by-step explanation:
Let do line segment QR and ST. first.
Step 1: Find a line that contains a points that is perpendicular to the line of reflection
"A reflection of a pre image and new image is perpendicular to the line of reflection.
This means for points Q,S,T and R, there is a line that. contains one point that is perpendicular to the line of reflection.
A line that is perpendicular to the line of reflection is the negative reciprocal of the slope so this means all 4 lines must be on a different slopes but the slopes must be 1/2.
To simplify, things, here are the lines that will all 4 points be on
Point R will be on line y=1/2x-11/2Point Q will be on line y=1/2x+2Point S will be on line y=1/2x+19/2Point T will be on line y=1/2x-1/2Step 2: Find a point where both the line and line of reflection intersect at.
Now we need to find a line where both the line of reflections and the 4 lines will intersect at separately.
The line with Point R will intersect with the line of reflection at point (1,-5)The line with Point Q will intersect with line of reflection at Point (-2,1)The line with Point S will intersect at point (-5,7)The line worth Point T will intersect at Point(-1,-1).Step 3: Find the endpoints given the midpoint and the originally endpoint.
A reflection per and new image is equidistant from the point of reflection. So we. an say that the point where the line intersect is the midpoint of the pre and new image.
Using this info,
The endpoint for R prime is (-3, -7).The endpoint for Q prime is (-4,0). The endpoint of S prime is (-3,8).The endpoint of T prime is (-9,-5).Connect R prime and Q prime. And that the new line segments
Connects S prime and T prime and that the new line segments.
Related Questions
Question A cotton farmer produced 390 pounds per acre after 4 years of operating. After 9 years, he was producing 460 pounds per acre. Assuming that the production amount has been increasing linearly, estimate the production per acre 7 years after he started farming. Your answer should just be a numerical value. Do not include units in your answer. Provide your answer below:
Answers
Solve the inequality. |X+19|<7
Answers
Answer:
x<-12
Step-by-step explanation: hope this helps!
Which problem has a greater (bigger) answer? Solve both, choose the one that has the bigger answer and explain (1-2 sentences) how you found your
answer.
1) (2 + 3) (5 + 5)
2)2 + 3 x 5 + 5 =
Answers
= 10 + 15 + 10 + 15 =
= 50
2) 5 • 10 =
= 50
Which choice is equivalent to the expression below?
V -100
O A. 110;
B. 101
C. -10
O D. 10
O E. - V10
Answers
Answer:
C. -10Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
CarryOnLearning
Will marl brainliest! Please help :,)
Answers
Answer:
x= -4
Step-by-step explanation:
A line is 180 degrees. This means that we can use the equation
60+x+124=180
Simplify:
184+x=180
x= -4
We can check this answer by plugging it back in:
60 + (-4) +124 =180
180=180
I hope this helps!
Step-by-step explanation:
[tex]60 + 124 + x = 180 \\ 180 - 184 = x \\ x = - 4[/tex]
how do you find the angle?
Answers
Which answers describe the shape below? Check all that apply.
A. Trapezoid
B. Parallelogram
C. Rhombus
D. Rectangle
E. Quadrilateral
F. Square
Answers
Answer:
B, C, and E
Step-by-step explanation:
SCALCET8 3.11.501.XP. Find the numerical value of each expression. (Round your answers to five decimal places.) (a) sinh(ln(4)) (b) sinh(4)
Answers
sinh(ln(4)) = (exp(ln(4)) - exp(-ln(4)))/2 = (4 - 1/4)/2 = 15/8 = 1.875
sinh(4) = (exp(4) - exp(-4))/2 ≈ 27.28992
What is the inequality shown?
Answers
Answer:
2<X ,this is because opened and facing towards x
and
–3≤X this is because the circle is closed and also facing towards x
find the length of side AB
Answers
Answer:
AB = 5.6 cm
Step-by-step explanation:
Reference angle (θ) = 62°
Hypotenuse = 12 cm
Adjacent = AB
Apply the trigonometric ratio formula, CAH, which is:
Cos θ = Adj/Hyp
Plug in the values
Cos 62° = AB/12
12*Cos 62° = AB
5.63365876 = AB
AB = 5.6 cm (1 decimal place)
What is the solution to the following inequality X/-2 > 5
Answers
Answer:
x < -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x/-2 > 5
Step 2: Solve for x
[Multiplication Property of Equality] Multiply -2 on both sides: x < -10[tex]\large {\mathsf {\red{\underbrace {\overbrace{\blue{ {\pink}{Answєr}}}}}}} \: [/tex]
x > - 10
[tex] \large \mathtt \green{Step-by-step \: explanation : }[/tex]
[tex] \small \sf \frac{x}{ - 2} > 5 \\ [/tex]
Solve for x
[tex] \small \sf \frac{x}{ - 2} > 5 \\ [/tex]
common denominator is 2
[tex]\small \sf ➪ \frac{2x}{ - 2} >2 \times 5 \\ [/tex]
[tex]\small \sf ➪ \frac{ \cancel{2}x}{ - \cancel{ 2}} >2 \times 5 \\ [/tex]
➪ - x > 2 × 5
➪ - x > 10
multiply by - 1
➪ - x × - 1 > 10 × - 1
x > - 10
What do you know to be true about the values of p and ?
p"
q
601
454
45
A. p> 9
B. p<9
C. p= 9
D. Can't be determined
Answers
since both triangles have equals sums of the known angles (60+30=90, 45+45=90)
p must be equal to q
In order to test for the significance of a regression model involving 4 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are Select one: a. 3 and 43 b. 4 and 43 c. 4 and 42 d. 3 and 42
Answers
Answer:
c. 4 and 42
Step-by-step explanation:
Given
[tex]p = 4[/tex] -- independent variables
[tex]n = 47[/tex] ---- observations
Required
The numerator and denominator degrees of freedom
The denominator degrees of freedom is:
[tex]df =n - p - 1[/tex]
[tex]df =47 - 4 - 1[/tex]
[tex]df =42[/tex]
For the numerator, we have:
[tex]df = p[/tex]
[tex]df = 4[/tex]
In a survey, 24 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $42 and standard deviation of $2. Construct a confidence interval at a 98% confidence level.
Answers
Answer:
The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 24 - 1 = 23
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 23 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.5
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.5\frac{2}{\sqrt{24}} = 1.02[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.02 = $40.98.
The upper end of the interval is the sample mean added to M. So it is 42 + 1.02 = $43.02.
The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.
Suppose that two teams play a series of games that end when one of them has won i games. Suppose that each game played is, independently, won by team A with probability p. Find the expected number of games that are played when i = 2. Also show that this number is maximized when p= 21.
Answers
Answer:
a) E(x) = -2p^2 + 2p + 2
b) Number is maximized when p = 1/2
Step-by-step explanation:
Determine the Expected number of games when ( i ) = 2
The number of possible combinations that both teams win two games :
AA, BB, ABB, ABA, BAA, BAB = 6 combinations
P( team A winning ) = p
P( team B wins ) = 1 - p
Attached below is the detailed solution on the expected number of games
expected number of games ; E(x) = -2p^2 + 2p + 2
ii) Number is maximized when p = 1/2
In this exercise we will use the knowledge of probability and combination, so we have what will be:
a)[tex]E(x) = -2p^2 + 2p + 2[/tex]
b)[tex]p = 1/2[/tex]
Organizing the information given in the statement as:
Expected number of games when ( i ) = 2A)The number of possible combinations that both teams win two games :
[tex]AA, BB, ABB, ABA, BAA, BAB = 6 \ combinations\\P( team\ A \ winning ) = p\\P( team \ B \ wins ) = 1 - p\\E(x) = -2p^2 + 2p + 2[/tex]
B) To calculate the maximum number we must solve the quadratic equation, like this:
[tex]p=1/2[/tex]
See more about probability at brainly.com/question/795909
The following formula gives the area A of a trapezoid with base lengths b1 and b2, and height h.
A=12(b1+b2)h
Find the area of a trapezoid with base lengths 3 and 6 and a height of 8.
Answers
1/2 (9)x8
4.5 x 8
=36
sec x tanx( 1- sin^2 x) = __x
Answers
Answer:
sin(x)
Step-by-step explanation:
sec x tanx(1 - sin^2 x)
1 - sin^2 x = cos^2 x
sec(x)tan(x)cos^2(x)
[tex]\frac{1}{cos(x)}[/tex] * [tex]\frac{sin(x)}{cos(x)}[/tex] * cos^2(x)
[tex]\frac{sin(x)cos^2(x)}{cos^2(x)}[/tex]
sin(x)
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
line up is rise
line across us run
rise over run = 13 up over 10
so 13/10
Solve the system of equations below.
x + y = 7
2x + 3y = 16
A. (5, 2)
B. (2, 5)
C. (3, 4)
D. (4, 3)
Answers
Answer:
A. (5, 2)
Step-by-step explanation:
Given
[tex]\begin{cases}x+y=7,\\2x+3y=16\end{cases}[/tex],
Multiply the first equation by 2, then subtract both equations to get rid of any terms with [tex]x[/tex]:
[tex]\begin{cases}2(x+y)=2(7),\\2x+3y=16\end{cases}\\\implies 2x+2y=14,\\2x+3y=16,\\2x-2x+2y-3y=14-16,\\-y=-2,\\y=\boxed{2}[/tex]
Substitute [tex]y=2[/tex] into any equation to solve for [tex]x[/tex]:
[tex]x+y=7,\\x+2=7,\\x=7-2=\boxed{5}[/tex]
Since coordinates are written as (x, y), the solution to this system of equations is (5, 2).
Answer:
A. ( 5 , 2 )
Step-by-step explanation:
solve by elimination methodIn order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
x + y = 7, 2x + 3y = 16To make x and 2x equal, multiply all terms on each side of the first equation by 2 and all terms on each side of the second by 1.
2x + 2y = 2 × 7, 2x + 3y = 16Simplify.
2x + 2y = 14, 2x+3y=16Subtract 2x+3y=16 from 2x+2y=14 by subtracting like terms on each side of the equal sign.
2x - 2x + 2y - 3y = 14 - 16Add 2x to -2x. Terms 2x and -2x cancel out, leaving an equation with only one variable that can be solved.
2y - 3y = 14 - 16Add 2y to -3y.
-y = 14 - 16Add 14 to -16.
-y = -2Divide both sides by -1.
y = 2Substitute 2 for y in 2x+3y=16. Because the resulting equation contains only one variable, you can solve for x directly.
2x + 3 × 2 = 16Multiply 3 and 2
2x + 6 = 16Subtract 6 from both sides of the equation.
2x = 10Divide both sides by 2.
x = 10The system is now solved.
x = 5 and y = 2
three friends, akira,bruno and carmela pooled thier money to start a lemonade stand. akria contributes $25, bruno contributed $20 and carmela contributed $35. after a month, thier lemoneade stand had earned 2000, and they want to distribute this money in the same ratio as the money that was invested. how many dollars will brouno recieve
plz explian
Answers
9514 1404 393
Answer:
$500
Step-by-step explanation:
Bruno's fraction of the total contribution was ...
Bruno / Total = $20/($25 +20 +35) = 20/80 = 1/4
Then Bruno's share of the earnings is this same fraction, so is ...
(1/4) × ($2000) = $500
please help me solve this math
Answers
Answer:
d
Step-by-step explanation:
For which equation is (4, 3) a solution?
y=x+3
y=3 x-4
y= 2 x-5
y= 2 x-1
please say how you got your answer
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
We can use trial and error to solve this.
4 = x and 3 = y
y = x + 3: 4 + 3 = 7 ≠ 3 (not what we want)
y = 3x + 4: (3 x 4) - 4 = 8 ≠ 3 (not what we want)
y = 2x - 5: (2 x 4) - 5 = 3 (what we want)
y = 2x - 1: (2 x 4) - 1 = 7 ≠ 3 (not what we want)
The answer is y = 2x - 5
Two statements are logically equivalent when:
A. The two statements are true in virtue of their logical structure alone, i.e. the two statement are always true.
B. The first statement implies the second, i.e. if the first statement is true, so is the second.
C. The two statements agree in point of truth or falsehood in virtue of their logical structure alone, i.e. the two statement are true or false in exactly the same conditions.
D. The two statements are false in virtue of their logical structure alone, i.e. the two statement are always false.
Answers
C. The two statements agree in point of truth or falsehood in virtue of their logical structure alone, i.e. the two statement are true or false in exactly the same conditions.
Step-by-step explanation:For two statements to be logically equivalent, their truth values (true or false) must be the same for every variation of their constituent variables. In other words, if the truth tables of both statements are the same for every possible value of their variables, then they are logically equivalent.
For example;
The two statements P ∩ (Q U R) and (P ∩ Q) ∪ (P ∩ R) are logically equivalent.
If P, Q and R are all true, then;
P ∩ (Q U R) = true
(P ∩ Q) ∪ (P ∩ R) = true
If P, Q and R are all true, then;
P ∩ (Q U R) = false
(P ∩ Q) ∪ (P ∩ R) = false
If P = false, Q = true and R = true, then;
P ∩ (Q U R) = false
(P ∩ Q) ∪ (P ∩ R) = false
Checking for all other possible combinations of truth values of P, Q and R will always give the same results for the two statements, therefore, they are logically equivalent.
Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial (1+3x)^(-1/3)
Answers
Answer:
First term=1
Second term=-x
Third term=[tex]2x^2[/tex]
Fourth term =[tex]-\frac{28}{3!}x^3[/tex]
Step-by-step explanation:
We are given that function
[tex]f(x)=(1+3x)^{-1/3}[/tex]
We have to find the first four non zero terms of the Maclaurin series for the binomial.
Maclaurin series of function f(x) is given by
[tex]f(x)=f(0)+f'(0)x+\frac{1}{2!}f''(0)x^2+\frac{1}{3!}f'''(0)x^3+....[/tex]
[tex]f(0)=(1+3x)^{\frac{-1}{3}}=1[/tex]
[tex]f'(x)=-\frac{1}{3}(1+3x)^{-\frac{4}{3}}(3)=-(1+3x)^{-\frac{4}{3}}[/tex]
[tex]f'(0)=-1[/tex]
[tex]f''(x)=\frac{4}{3}\times 3 (1+3x)^{-\frac{7}{3}}[/tex]
[tex]f''(0)=4[/tex]
[tex]f'''(x)=-4\times \frac{7}{3}\times 3(1+3x)^{-\frac{10}{3}}[/tex]
[tex]f'''(0)=-28[/tex]
Substitute the values we get
[tex](1+3x)^{-\frac{1}{3}}=1-x+\frac{4}{2!}x^2+\frac{-28}{3!}x^3+...[/tex]
[tex](1+3x)^{-\frac{1}{3}}=1-x+2x^2+\frac{-28}{3!}x^3+...[/tex]
First term=1
Second term=-x
Third term=[tex]2x^2[/tex]
Fourth term =[tex]-\frac{28}{3!}x^3[/tex]
Use the probability distribution for the random variable x to answer the question. x 0 1 2 3 4 p(x) 0.12 0.2 0.2 0.36 0.12 Calculate the population mean, variance, and standard deviation. (Round your standard deviation to three decimal places.)
Answers
Answer:
[tex]\mu =2.16[/tex] --- Mean
[tex]\sigma^2 = 1.4944[/tex] -- Variance
[tex]\sigma = 1.222[/tex] --- Standard deviation
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.12} & {0.2} & {0.2} & {0.36} & {0.12} \ \end{array}[/tex]
Solving (a): The population mean
This is calculated as:
[tex]\mu = \sum x * P(x)[/tex]
So, we have:
[tex]\mu =0*0.12 + 1 * 0.2 + 2 * 0.2 + 3 * 0.36 + 4 * 0.12[/tex]
[tex]\mu =2.16[/tex]
Solving (b): The population variance
First, calculate:
[tex]E(x^2)[/tex] using:
[tex]E(x^2) = \sum x^2 * P(x)[/tex]
So, we have:
[tex]E(x^2) = 0^2*0.12 + 1^2 * 0.2 + 2^2 * 0.2 + 3^2 * 0.36 + 4^2 * 0.12[/tex]
[tex]E(x^2) =6.160[/tex]
So, the population variance is:
[tex]\sigma^2 = E(x^2) - \mu^2[/tex]
[tex]\sigma^2 = 6.16 - 2.160^2[/tex]
[tex]\sigma^2 = 6.160 - 4.6656[/tex]
[tex]\sigma^2 = 1.4944[/tex]
Solving (c): The population standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\sigma^2}[/tex]
[tex]\sigma = \sqrt{1.4944}[/tex]
[tex]\sigma = 1.222[/tex]
A sample of students was asked what political party do they belong. which of the following types of graphical display would be appropriate for the sample?
A. Stemplot.
B. Pie chart.
C. Scatterplot.
D. All of the above.
Answers
Answer:
B. Pie chart.
Step-by-step explanation:
In this question, the students are asked what political party they belong. The best display format would be one in which the graph can be divided into parts, or percents, according to the percentage of students belonging to each political party. The graph that best describes this, distributing a group into parts, is a pie chart, and thus, the correct answer is given by option b.
Scatterplot is used when two variables correlate together, that is, there is a relationship between them, which we don't have between the number, or proportion of students belonging to each political party. Stemplot are used when there is a high number of quantitative data, which we do not have here.
Using the following distribution, calculate the following measures of central tendency:
State Proportion of Residents Without Health Insurance Louisiana 0.19 New Jersey 0.13 New York 0.16 Pennsylvania 0.11 Rhode Island 0.09 South Carolina 0.13 Texas 0.25 Washington 0.14 Wisconsin 0.10
N = 9
Identify the variable:
Identify the median:
Identify the mean:
How would you describe the shape of the distribution:
Answers
Answer:
(a) Residents
(b) [tex]Median = 0.13[/tex]
(c) [tex]\bar x = 0.14[/tex]
(d) Right skewed
Step-by-step explanation:
Given
The data of residents without health insurance
Solving (a): The variable
The variable is the residents
Solving (b): The median
First, we sort the data
[tex]Sorted: 0.09, 0.10, 0.11, 0.13, 0.13, 0.14, 0.16, 0.19, 0.25[/tex]
So, the median position is:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{9 + 1}{2}[/tex]
[tex]Median = \frac{10}{2}[/tex]
[tex]Median = 5th[/tex]
The 5th element of the dataset is: 0.13
So:
[tex]Median = 0.13[/tex]
Solving (c): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{0.09+ 0.10+ 0.11+ 0.13+ 0.13+ 0.14+ 0.16+ 0.19+ 0.25}{9}[/tex]
[tex]\bar x = \frac{1.3}{9}[/tex]
[tex]\bar x = 0.14[/tex]
Solving (d): The shape of the distribution
In (b) and (c), we have:
[tex]Median = 0.13[/tex]
[tex]\bar x = 0.14[/tex]
By comparison, the mean is greater than the median.
Hence, the shape is: right skewed.
may y’all help me please and thank you?
Answers
Answer:
F
Step-by-step explanation:
4.85-4.15=0.7 divided by 2 = 0.35+4.15=4.5*25 cause 30-20=10 divided by 2=5+20=25*4.5=112. closest to that is 120
i don’t really know how to explain sorry
The scores on a psychology exam were normally distributed with a mean of 69 and a standard deviation of 4. What is the standard score for an exam score of 68?
The standard score is ?
Answers
Answer:
0.25
Step-by-step explanation:
Given that :
Mean score, μ = 69
Standard deviation, σ = 4
Score, x = 64
The standardized score, Zscore can be obtained using the formular :
Zscore = (x - μ) / σ
Zscore = (69 - 68) / 4
Zscore = 1 / 4
Zscore = 0.25
A survey was held to find the time taken by students to reach school from
their homes. Each student was asked to choose from 5, 10, 15, 20, or 25
minutes.
Number of
Minutes 5 10 15 20 25
Number of
Students
11
8
2
3
6
What is the mode for the data set?
A. 5 min b. 10 min c. 20 min d. 25 min
Answers
Hello,
in France, the mode is the value having the greater repetition
mode= 5 (repetition=11)
