Answers
9514 1404 393
Answer:
x = 37y = 22Step-by-step explanation:
Consecutive interior angles are supplementary.
(x -20)° +(4x +15)° = 180°
5x = 185 . . . . . . . . . . . . . . divide by °, add 5
x = 37 . . . . . . . . . . . . divide by 5
__
74° +(5y -4)° = 180°
5y = 110 . . . . . . . . . . . divide by °, subtract 70
y = 22 . . . . . . . . . . divide by 5
Related Questions
Casey and Malik can paint a room in 6 hours if they work together. If Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself. How long would it take Casey to paint the room by himself if Malik calls in sick? Round to 2 decimal places.
Answers
Answer:
It would take 10 hours for Casey to paint the room by himself.
Step-by-step explanation:
Given that Casey and Malik can paint a room in 6 hours if they work together, and if Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself, to determine how long would it take Casey to paint the room by himself if Malik calls in sick the following calculation must be performed:
6 x 2 = 12
12 x 2 = 24
(24 - 4) / 2 = 10
Therefore, it would take 10 hours for Casey to paint the room by himself.
The participants in a research study self-report their sleep quality levels by choosing the response option that best characterizes their average sleep quality per night from the following response options: 1 = extremely low sleep quality, 2 - very low sleep quality, 3 - low sleep quality, 4 = extremely high sleep quality. Which measurement scale is being used to classify sleep quality?
Answers
Answer:
This is a Categorical variable and the measurement scale is ordinal scale.
Step-by-step explanation:
The measurement scale that is being used to classify sleep is the ordinal measurement. In this question, the variable that is called sleep quality is a categorical variable. categorical variables are variables that have the data representing groups. sleep quality has been given this categorical order extremely low very low low and extreme high.
The ordinal scale is a scale that denotes order it has all variables in a specific order.
Help and explain too (using elimination to solve systems of equations ) !!!!!
Answers
Answer:
x=3 y=5
Step-by-step explanation:
it's simultaneous equations so you first try matching the x or the y on both equations
on the first equation the ys are matching so:
4x+y=17
2x+y=11
2x=6
x=3
now that you have x you substitute it back into the equation to get y
6+y=11
-6 -6
y=5
Answer:
(3,5)
(3,2)
(7,0)
(8,1)
Step-by-step explanation:
1.)
Subtract the two equations
(4x+y)-(2x+y)=17-11
2x=6
x=3
plug this into the first equation
4(3)+y=17
y=5
2.) we need one set of the same variable's coefficents to match (so that when we add/subtract the two equations a variable cancels out). To do this multiply the first equation by 1.5
1.5(3x+2y)=13*1.5
4.5x+3y=19.5
Subtract the second equation
(4.5x+3y)-(2x+3y)=19.5-12
2.5x=7.5
x=3
plug this into the first equation
3(3)+2y=13
2y=4
y=2
3.)
Mulitply the first equation by 3
3(x-2y)=7*3
3x-6y=21
subtract this and the second equation
(3x-6y)-(3x+y)=21-21
-7y=0
y=0
plug this into the first equation
x-2(0)=7
x=7
3.)
add the two equations
(x+5y)+(x-5y)=13+3
2x=16
x=8
plug this into the first equation
8+5y=13
5y=5
y=1
f(x)=3x+2 what is f(5)
Answers
Answer:
17
Step-by-step explanation:
Substitute.
f(x)=3(5)+2
=15+2
=17
I hope this helps!
Step-by-step explanation:
if the equation if f(x) = 3x + 2, then f(5) would be equal to 3*5 + 2 = 17.
Applying the translation (x, y) - (x - 3, y + 7) maps the point (-4,7) onto the point
9
O A) (14, -7)
12
B) (7, -14)
15
C) (14, 7)
D) (-7, 14)
Answers
Answer: Choice D. (-7, 14)
Work Shown:
[tex](x,y) \to (x-3, y+7)\\\\(-4,7) \to (-4-3, 7+7)\\\\(-4,7) \to (-7, 14)\\\\[/tex]
The point has moved 3 units to the left and 7 units up. See the diagram below.
74. A portion of a board has length x feet. The other part has
length (7x – 9) feet. Express the total length of the board
as a simplified expression in x.
Answers
Step-by-step explanation:
Given that,
Length of the one portion of the board = x feetLength of the another portion = (7x – 9) feetAccording to the question,
[tex]\longrightarrow[/tex] Total length = Sum of the length of the two pieces
[tex]\longrightarrow[/tex] Total length = {x + (7x – 9)} feet
[tex]\longrightarrow[/tex] Total length = {x + 7x – 9} feet
[tex]\longrightarrow[/tex] Total length = (8x – 9) feet
Therefore, the total length of the board as a simplified expression in x is (8x – 9) feet.
Janelle says that lines l and m are skew lines.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Line m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
Is Janelle correct?
Answers
B.. No, because the lines are in the same plane.
Remember to take breaks. It can be really really skew but its going to be their tm. Maybe with more assignments but still. happy learning.
Ayo whats good
the answer's C Line p must be drawn so that it can lie in the same plane as line l.
explination
I need help please it’s for math
Answers
Answer:
139
Step-by-step explanation:
Since the given is a parallelogram then angle <D and angle <B are equal angles
10x - 21 = 9x - 5
10x - 9x = 21 - 5
x = 16 replace x with 16 to find the measure of angle <B
16*9 - 5 = 139
When four times a number is added to 8 times the number, the result is 36. What is the number
Answers
Let the number = X
4x + 8x = 36
Simplify:
12x = 36
Divide both sides by 12:
x = 3
The number is 3
12x = 36
X=?
Answer of the question
As of 2012, the proportion of students who use a MacBook as their primary computer is 0.4. You believe that at your university the proportion is actually less than 0.4. If you conduct a hypothesis test, what will the null and alternative hypotheses be
Answers
Answer:
The null hypothesis is [tex]H_0: p = 0.4[/tex]
The alternative hypothesis is [tex]H_a: p < 0.4[/tex]
Step-by-step explanation:
As of 2012, the proportion of students who use a MacBook as their primary computer is 0.4.
At the null hypothesis, we test if the proportion is of 0.4, that is:
[tex]H_0: p = 0.4[/tex]
You believe that at your university the proportion is actually less than 0.4.
This means that at the alternative hypothesis, we test if the proportion is less than 0.4, that is:
[tex]H_a: p < 0.4[/tex]
-9(m + 2) + 406 - 7m)
Answers
Answer:
-9(m+2)+406-7m)
=-16+388
Barnaby decided to count the number of ducks and geese flying south for the winter. On the first day he counted 175 ducks and 63 geese. By the end of migration, Barnaby had counted 4,725 geese. If the ratio of ducks to geese remained the same (175 to 63), how many ducks did he count?
Answers
Answer:
13,125 ducks
Step-by-step explanation:
The ratio of ducks:geese on the first day was:
175:63
On the last day (end of migration), he counted 4,725 geese.
To find the number of ducks using the same ratio, we are first going to divide 4,725 by 63 to find what number all the ducks and geese multiplied by:
4,725/63 = 75
The geese multiplied by 75. This means the ducks also multiplied by 75:
175*75 = 13,125
Barnaby counted 13,125 ducks.
Hope it helps (●'◡'●)
In a class of 20 students, all but 4 of the students put their names on a typed assignment. If the teacher randomly guesses, what is the probability that she correctly guesses which paper belongs to each of the four remaining students
Answers
Answer:
4.17%
(1/4)(1/3)(1/2)(1)
alternative you can say that there are 24 permutations of
4 items and that you have to guess 1 of them 1/24 = 4.17%
Step-by-step explanation:
0.25
0.333333333
0.5
1
There are 9 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines?
Answers
HELPPPP ME ASAP
If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find g[h(-2)]
Answers
9514 1404 393
Answer:
10
Step-by-step explanation:
Put the values where the arguments are and do the arithmetic.
g(h(-2)) = g(-2+4) = g(2) = 5(2)
g(h(-2)) = 10
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D)=0.740, where D is directly in person. If someone is randomly selected, what does PD represent, and what is its value? What does PD represent?
Answers
Answer:
0.260
Step-by-step explanation:
According to the Question,
Given that, In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt.And, it found that P(D)=0.740, where D is directly in person.
If someone is randomly selected, PD represents Upper P left parenthesis & Upper D represents overbar right parenthesis .⇒P(D) is the probability flirting of directly in person.
⇒P( D ) represents the probability of flirting other than in person.
P(D)=0.740 & P( D )=1 - P(D)
P( D ) = 1 - 0.740.
P( D ) = 0.260
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.260.
Please help!! How do I solve for x?
Answers
The line in the middle is half the length of the line on the outside. Multiply the middle line by 2 and set it equal to the outside line.
2(x-3) = x + 6
Simplify:
2x -6 p x + 6
Add 6 to both sides
2x = x + 12
Subtract x from both sides:
X = 12
The answer is B) 12
Please help me out here.
Answers
Answer:
19.634954085
Step-by-step explanation:
Pipe Diameter = Height of the trench
Pipe Height = Width of the trench
V = Pi*r^2*L/ Pi*r^2*h
= 22/7 x (2.5/2)^2 x 4
= 19.634954085
What is the effect of X on Y?
Answers
Answer:
GMM,pooled OLC,even cross country OLC are most variables not difficult panel data analysis
Which expression has a value of 15 when it equals
2
49-57
3--5
61-28
28
19
Answers
Answer:
it is 61-28 but I not sure u can scan for any application to make sure u get it ur answer thx for
The Cougar Swim Club acquired some Speedo Fastskin bodysuits and decided to test them out. A number of the club's fastest swimmers performed a 50m freestyle swim in a regular spandex bodysuit and in a Speedo Fastskin suit. The table below summarizes their times in seconds.Swimmer Spandex Speedo Fastskin1 31.1 29.12 28.9 30.43 31.4 32.04 34.9 31.75 27.7 28.26 36.7 32.97 33.3 28.68 30.8 26.2Perform a t-test for dependent means to determine if there is a difference between the regular spandex suit and the Fastskin bodysuit in terms of performance.t = _____df = _____Critical value of t = _____ (use alpha = 0.05)Would you reject the null hypothesis?
Answers
Answer:
T = 2.215
df = 7
Critical value = 2.364
Fail to reject the null
Step-by-step explanation:
Swimmer __Spandex __Speedo Fastskin__ d
1 __________31.1 _______29.1 __ 2
2_________ 28.9 ______30.4 __ -1.5
3_________ 31.4 ______ 32.0 __ - 0.6
4_________ 34.9 ______31.7 __ 3.2
5 _________27.7 ______28.2 __ - 0.5
6_________ 36.7 _____ 32.9 ___ 3.8
7 _________ 33.3 _____28.6 ___ 4.7
8_________ 30.8 _____26.2 ___ 4.6
The mean difference = Σd / n
2, - 1.5, - 0.6, 3.2, - 0.5, 3.8, 4.7, 4.6
μd = Σd / n = 15.7 / 8 = 1.9625
Sd = standard deviation of difference = 2.5065 (using calculator)
H0 : μd = 0
H1 : μd ≠ 0
The test statistic:
T = μd / (Sd/√n)
T = 1.9625 / (2.5065/√8)
T = 2.2145574
The degree of freedom, df = n - 1 = 8 - 1 = 7
Using a Pvalue calculator :
α = 0.05
Critical value, Tcritical = 2.364 (T distribution table)
Since Test statistic < Critical value
we fail to reject H0 ;
if y = k where k is a constant and y =24 when x =6 what is the value of y when x= 5
Answers
Answer:
20
Step-by-step explanation:
y=kx
24=6k
k=4
y=4*5=20
The amount of tax on a chair was $3.60. The tax rate was 5%. Find the original price of the chair.
Bianca solved the problem below. Find Bianca’s error.
0.05(3.60) = Original price
The original price is $0.18.
Answers
9514 1404 393
Answer:
$72.00
Step-by-step explanation:
The relationship between price and tax is ...
tax amount = (tax rate) × (price)
Then the price can be found by dividing by the tax rate:
price = (tax amount)/(tax rate)
price = $3.60 / 0.05 = $72.00
The original price of the chair was $72.00.
__
Bianca apparently did not pay any attention to the way tax is computed. Nor did she check her work. The original price is not a small fraction of the tax. It is the other way around. Bianca used a wrong relationship between tax and price.
The following data was obtained from 32 people aged 25-29 who were asked how many hours of TV they watched per week.
4,2,8,9,4,5,10,11,7,8,3,4,10,3,8,5,1,7,0,4,3,2,2,1,1,0,2,3,5,2,1,1.
Group the data in intervals and record the frequency of each interval as well as the cumulative frequency and relative frequency. Make a table showing this information.
Graph the data using frequency histogram.
Graph the data using a cumulative frequency chart.
Answers
In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.
What is the average rate of change of the cost of a pack of cigarettes? What is another name for the average rate of change?
Round your answer to the nearest cent.
Answers
Answer:
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average rate of change is slope.
Step-by-step explanation:
The average rate of change of the cost of a pack ([tex]r[/tex]), in monetary units per year, is equal to the change in the average cost of a pack ([tex]\Delta c[/tex]), in monetary units, divided by the change in time ([tex]\Delta t[/tex]), in years. Then, the average rate of change is:
[tex]r = \frac{\$\,5.31-\$\,0.88}{2000-1980}[/tex]
[tex]r = \$\,0.22\,\frac{1}{yr}[/tex]
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average rate of change is slope.
Simplify this algebraic expression.
y-3/3 +12
O A. y-11
O B. y + 13
O c. y-5
O D. y+ 11
Answers
Answer:
D
Step-by-step explanation:
[tex]y - \frac{3}{3} + 12[/tex]
[tex]y - 1 + 12[/tex]
[tex]y + 11[/tex]
HELP ASAP PLS Select the correct answer.
A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with
each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total
quantity of visible light emitted by a source,
Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.
Answers
Answer:
D. 750(0.75)ˣ
Step-by-step explanation:
Let the new brightness be L'. Since our initial brightness L₀ reduces by 25 %, we have that L' = L₀ - 25% of L₀
L' = L₀ - 0.25L₀
L' = 0.75L₀
Adding the second screen, the new intensity is L" = L' - 25 % of L'
L" = L' - 0.25 L'
L" = 0.75L'.
Since L' = 0.75L₀,
L" = 0.75L' = 0.75(0.75L₀) = 0.75²L₀
Adding the third screen, the new intensity is L"' = L'' - 25 % of L''
L'" = L" - 0.25 L"
L"' = 0.75L".
Since L" = 0.75L' = 0.75²L₀
L"' = 0.75L" = 0.75(0.75²L₀) = 0.75³L₀
So, we see a pattern here.
The intensity after x screens is L = (0.75)ˣL₀
Since L₀ = 750 lumens,
L = 750(0.75)ˣ
The number of hurricanes that will hit a certain house in the next ten years is Poisson distributed with mean 4. Each hurricane results in a loss that is exponentially distributed with mean 1000. Losses are mutually independent and independent of the number of hurricanes. Calculate
Answers
Answer:
The variance of total loss is 8000000
Step-by-step explanation:
Let
[tex]X \to[/tex] Number of hurricane
Poisson [tex]E(X) = 4[/tex]
[tex]Y \to[/tex] Loss in each hurricane
Exponential [tex]E(Y) = 1000[/tex]
[tex]T \to[/tex] Total Loss
Required
The variance of the total loss
This is calculated as:
[tex]Var(T) = Var(E(T|X)) + E(Var(T|X))[/tex]
Where:
[tex]E(T|X) \to[/tex] Expected total loss given X hurricanes
And it is calculated as:
[tex]E(T|X) = E(Y) *N[/tex] --- Expected Loss in each hurricane * number of loss
[tex]Var(T|X) \to[/tex] Variance of total loss given X hurricanes
And it is calculated as:
[tex]Var(T|X) = Var(Y) * N[/tex] ---- --- Variance of loss in each hurricane * number of loss
So, we have:
[tex]Var(T) = Var(E(T|X)) + E(Var(T|X))[/tex]
[tex]Var(T) = Var(E(Y) * N) + E(Var(Y) * N)[/tex]
For exponential distribution;
[tex]Var(Y) = E(Y)^2[/tex]
So, we have:
[tex]Var(T) = Var(E(Y) * X) + E(E(Y)^2 * X)[/tex]
Substitute values
[tex]Var(T) = Var(1000 * X) + E(1000^2 * X)[/tex]
Simplify:
[tex]Var(T) = Var(1000 * X) + 1000^2E(X)[/tex]
Using variance formula, we have:
[tex]Var(T) = 1000^2Var(X) + 1000^2E(X)[/tex]
For poission distribution:
[tex]Var(X) = E(X)[/tex]
So, we have:
[tex]Var(X) = E(X) = 4[/tex]
The expression becomes:
[tex]Var(T) = 1000^2*4 + 1000^2*4[/tex]
[tex]Var(T) = 1000000*4 + 1000000*4[/tex]
[tex]Var(T) = 4000000 + 4000000[/tex]
[tex]Var(T) = 8000000[/tex]
The following data set represents the ages of all 6 of Nancy's grandchildren.
11, 8, 5, 6, 3,9
To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population
standard deviation for this data set?
Answers
Answer:
Use calculation for the population standard deviation
Step-by-step explanation:
We are given that the data data set represents the ages of all 6 of Nancy's grandchildren
11,8,5,6,3,9
We have to determine which standard deviation would used for calculation of the given data set.
Sample standard deviation :If the data values represent the data collected from subset of population .Then the sample standard deviation should be used.
Population standard deviation:
If the data values represents the data collected from entire population, then population standard deviation should be used.
We can see that the given data collected from entire population.
Therefore, we would use calculation for population standard deviation of given data set.
Match the pairs of equivalent exMatch the pairs of equivalent expressions.
pressions.
Answers
Answer:
Give us the picture or numbers please.
Step-by-step explanation:
Answer: add pic pls
Step-by-step explanation: