Answers
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
Related Questions
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter
Answers
Peter's contribution to the whole job is the fraction of the job he completed during the second hour, which is 5/12.
So, Peter completed 5/12 of the whole job.
Let's calculate the rate at which each person completes the job.
Tom can complete 1/6 of the job per hour, Peter can complete 1/3 of the job per hour, and John can complete 1/2 of the job per hour.
During the first hour, Tom completes 1/6 of the job.
So, there is 1 - 1/6 = 5/6 of the job left to be done.
When Peter joins Tom, they work together for one hour.
Their combined rate is (1/6 + 1/3) = 1/2 of the job per hour.
So, in that hour, they complete 1/2 of the remaining job, which is (1/2) * (5/6) = 5/12 of the whole job.
Finally, when John joins them, the three of them work together at a combined rate of (1/6 + 1/3 + 1/2) = 11/12 of the job per hour.
Since they work together until the job is completed, the remaining (5/6) of the job is completed in (5/6) / (11/12) = 10/11 of an hour.
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Write as many expressions as you can for
this picture:
How do u do this
Answers
There were 53 competitors in a downhill skiing event. Their times in seconds) are shown below. Complete parts a through d below 98.06 98.09 98.46 9847 99.09 98.96 98 99 99.12 99.35 99.57 99.98 100.08 100.11 100.28 100.64 101.32 101.06 101.25 101.34 101.39 102.48 101.99 103.01 103.87 104.11 103.64 104.15 104.27 104.37 104.33 104.52 105.47 105.48 105.69 105.61 113.02 105.73 109.65 106.92 116.11 117.43 117.59 99.09 100 67 103.12 105.02 114.55 99.11 100.77 103.18 105.39 115.97 a) The mean time was 103 59 seconds, with a standard deviation of 5 16 seconds if the Normal model is appropriate what percent of times will be less than 98 43 secon (Round to the nearest integer os needed) b) What is the actual percent of times less than 98.43 seconds? (Round to one decimal place as needed) c) Do the two percentages agree? Why or why not? OA. Yes, because a Normal probability plot shows that the Normal model is appropriate OB. No, because a Normal probability plot shows that the Normal model is appropriate O C Yes, because a Normal probability plot shows that the Normal model is not appropriate O D. No, because a Normal probability plot shows that the Normal model is not appropriate
Answers
The two percentages do not agree. Hence, option D is correct.
a) The mean time was 103.59 seconds, with a standard deviation of 5.16 seconds. If the Normal model is appropriate, the percentage of times that will be less than 98.43 seconds can be calculated as follows:
z = (x - μ) / σz = (98.43 - 103.59) / 5.16z = -1.00Using z-score table, we can determine that the percentage of times that will be less than 98.43 seconds is approximately 15%.
Therefore, the percentage of times that will be less than 98.43 seconds is 15%.
(Round to the nearest integer as needed)Hence, option A is correct.b) The actual percentage of times less than 98.43 seconds can be calculated by finding the number of competitors that finished with a time less than 98.43 seconds and dividing that number by the total number of competitors.
98.06, 98.09, 98.46, 98.47, 98.96, 98, 99, 99.12, 99.35, 99.57, 99.98, 100.08, 100.11, 100.28, 100.64, 101.32, 101.06, 101.25, 101.34, 101.39, 102.48,
101.99, 103.01, 103.87, 104.11, 103.64, 104.15, 104.27, 104.37, 104.33, 104.52, 105.47, 105.48, 105.69, 105.61, 113.02, 105.73, 109.65, 106.92, 116.11, 117.43, 117.59, 99.09, 100.67, 103.12, 105.02, 114.55, 99.11, 100.77, 103.18, 105.39, 115.97
There are no competitors who finished with a time less than 98.43 seconds. Therefore, the actual percentage of times less than 98.43 seconds is 0%. (Round to one decimal place as needed)Thus, option D is correct.c) The two percentages do agree.
This is because the Normal probability plot shows that the Normal model is not appropriate.
Therefore, the actual percentage of times less than 98.43 seconds is 0%, which is different from the percentage that was calculated using the Normal model. Since the Normal model is not appropriate, the actual percentage of times is more accurate.
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Solve now please and thank you
Answers
Recall that the cigarette industry requires that models in cigarette ads must appear to be at least 25 years old. Also recall that a sample of 50 people is randomly selected at a shopping mall. Each person in the sample is shown a "typical cigarette ad" and is asked to estimate the age of the model in the ad. The p -value for testing H0 versus Ha can be calculated to be 0.0038.
Determine whether H0 would be rejected at each of ? = .10, ? = .05, ? = .01, and ? = .001. (Round your answer to 4 decimal places.)
p-value Reject H0 at ? =
Answers
The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.
To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.
At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.
At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.
At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.
At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.
In summary:
H0 would be rejected at α = 0.10 and α = 0.05.
H0 would not be rejected at α = 0.01 and α = 0.001.
Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.
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Question 5 of 10
Rise is the horizontal change between any two points on a line.
A. True
B. False
SUBMIT
Answers
Answer:
False
Rise is the vertical change not the horizontal
Step-by-step explanation:
An astronaut who weighs 126 pounds on Earth weighs only 21 pounds on
the moon. How much would a person who weighs 31 pounds on the moon
weigh on Earth? Show your work to receive full credit.
Answers
Answer:
186 pounds
Step-by-step explanation:
let x = pounds on Earth
set up a proportion: \(\frac{126}{21}\) = \(\frac{x}{31}\)
cross-multiply: 21x = 3906
divide by 21: x = 186
Answer:
186 pounds.
Step-by-step explanation:
By proportion 126/21 = x/31
6 = x/31
x = 6*31
= 186 pounds.
a sample is obtained from a normal population with σ = 20. if the sample mean has a standard error of 10 points, then the sample size is n = 4. T/F.
Answers
So, the sample mean has a standard error of 10 points, then the sample size is n = 4, is True
How to determine if the statement "the sample mean has a standard error of 10 points, then the sample size is n = 4" is true or false?To determine if the statement is true or false, we can calculate the sample size using the formula for standard error:
Standard Error = σ / \(\sqrt(n)\)
Given that the standard error is 10 points and σ (population standard deviation) is 20, we can rearrange the formula to solve for n:
10 = 20 /\(\sqrt(n)\)
Squaring both sides of the equation:
100 = 400 / n
Cross-multiplying:
100n = 400
n = 400 / 100
n = 4
From the calculation, we find that the sample size is indeed n = 4. Therefore, if the standard error of the sample mean is 10 points, then the sample size is 4. The statement is true.
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Find the first five terms of the recursive sequence. Show all work.
Answers
Answer:
4.5, -27, 162, -972, 5832
Step-by-step explanation:
\(a_1=4.5\\ a_2=-6 \times a_1=-6 \times 4.5 = -27\\ a_3=-6 \times a_2=-6 \times -27 = 162\\ a_4=-6 \times a_3=-6 \times 162 = -972\\ a_5=-6 \times a_4=-6 \times -972 = 5832\)
Robert graduates from a technical school and finds a welding job that pays
$14 per hour. He always works at least 40 hours in a given week. When he works
overtime, he gets 1.5 times his regular hourly pay. His overtime pay can be
represented by h, the number of hours greater than 40 he works in a week.
Create an expression for the amount of money Robert earns in a week.
Use the values from the box below. Write the value(s) needed for each addend
in each space on the answer sheet.
Answers
Answer: $581
Step-by-step explanation:
given data:
Hours worked weekly(hrs) = 40
wages = $14/hr
Amount earned for overtime = 1.5 times of his hourly pay.
Solution
Amount earned for overtime
= 1.5 * $14
= $21
Amount Roberts earns in a week
= $14 * 40 + $21
= $560 + $21
= $581
Answer:
Weekly earning = 560 + 21h
Step-by-step explanation:
Given the following :
Regular Pay = $14 per hour
Work hour = atleast 40 hours per week
Overtime pay = 1.5(regular pay)
If overtime hour = h
Robert's weekly earning :
Regular pay * 40 + (overtime * 1.5(regular pay))
$14 * 40 + (h * 1.5(14))
560 + 21h
Hence,
Weekly earning = 560 + 21h
What percent of 80 is 20
Answers
Answer:
25%
Step-by-step explanation:
Use the Wronskian to show that the functions y1 = e^6x and y2 = e^2x are linearly independent. Wronskian = det[] = These functions are linearly independent because the Wronskian isfor all x.
Answers
The functions y1 = e^(6x) and y2 = e^(2x) are linearly independent because the Wronskian, which is the determinant of the matrix formed by their derivatives, is nonzero for all x.
To determine the linear independence of the functions y1 and y2, we can compute their Wronskian, denoted as W(y1, y2), which is defined as:
W(y1, y2) = det([y1, y2; y1', y2']),
where y1' and y2' represent the derivatives of y1 and y2, respectively.
In this case, we have y1 = e^(6x) and y2 = e^(2x). Taking their derivatives, we have y1' = 6e^(6x) and y2' = 2e^(2x).
Substituting these values into the Wronskian formula, we have:
W(y1, y2) = det([e^(6x), e^(2x); 6e^(6x), 2e^(2x)]).
Evaluating the determinant, we get:
W(y1, y2) = 2e^(8x) - 6e^(8x) = -4e^(8x).
Since the Wronskian, -4e^(8x), is nonzero for all x, we can conclude that the functions y1 = e^(6x) and y2 = e^(2x) are linearly independent.
Therefore, the linear independence of these functions is demonstrated by the fact that their Wronskian is nonzero for all x.
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I need help on these q's.
-The first term of an arithmetic series is 10 and the 7th term is 46, find the sum of the first 20 terms.
-The 8th term of an arithmetic series is 3 and the ninth term is -1, find the sum of the first 12 terms.
-The fifth term of an arithmetic series is 21 and the 11th term is 45, find the sum of the first 25 terms.
Please help.
Answers
Step-by-step explanation:
Rounded to the nearest hundredth thousandth, the number 0.00004369 is
Use Vocabulary in Writing Use vocabulary words to describe how to completely factor the expression 4x-5 + 16x-3, and write the factors using only p…ositive exponents.
Make x the subject of m=n+x/p
What is the measure of m<1
if m<5 =125, find m<1
Tommy has calculated the output for this function machine. Tommy's answer is incorrect. What mistake has he made? 8 squared 16
The line L has equation y=2x+8 The line L crosses the x-axis at the point A. The line M is perpendicular to line L and passes through the point A a…) find the coordinates of the point A b) find the equation of the line M
This question is way too confusing for me... this is the picture for my other question because I couldn't edit it again so I will ask it again sorry. …Use the drawing tool(s) to form the correct answers on the provided number line. Plot all the solutions of the two equations on the number line provided. \(x^2=9/25\\y^3=8/125\)
if m<2 = 32, find m<3
Evaluate the expression. Write your answer as a fraction or mixed number in simplest form. 1 1/4 divided by -3/2
A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale
factor of 3. What is the area of the new triangle?
39 m2
169 m2
117 m2
142 m2
Answers
Answer:
117 m²
Step-by-step explanation:
Given the scale factor of the enlargement is 3 , then
the area is increased by a factor of 3² = 9
area of new triangle = 9 × 13 m² = 117 m²
Example 3: A rectangular garden has a length of (x + 4) feet and a width of (x+3) feet.
What is the perimeter of the garden?
Answers
9514 1404 393
Answer:
4x +14 . . . feet
Step-by-step explanation:
The perimeter is given by ...
P = 2(L+W)
P = 2((x +4) +(x +3)) = 2(2x +7)
P = 4x +14
The perimeter of the garden is 4x +14 feet.
The shop has a necklace of 41 pearls for sale, with the middle pearl being the largest and most expensive. Moving from the middle pearl towards each end of the coil, each subsequent pearl is cheaper than the previous one by one and the same amount. The most expensive pearl costs 55 euros, and the following pearls cost 52 euros. a) How much does one of the cheapest pearls cost? b) How much does this necklace cost, i.e. all the pearls together? c) One of the pearls in the necklace developed a crack and the price of this pearl decreased by 1/5. The price of the necklace therefore decreased by 6.5 euros. How much was this pearl before the crack?
Answers
The original price of the pearl was 52 euros.
What is price?Price is the monetary value of a product, service, or asset. It is one of the most important factors in a customer's decision to purchase something. Price also determines the amount of profit a business makes on a particular product or service. Price is a key component of the marketing mix, and it can be used to create a sense of value for customers. Price can also be used to differentiate a product from competitors, as well as to indicate quality levels and to create loyalty.
a) One of the cheapest pearls costs 41 euros.
b) This necklace costs 2153 euros, which is the sum of all the pearls.
c) The pearl with the crack originally cost 52 euros. The price was reduced by 1/5, which is 10.4 euros, making the price of the pearl 41.6 euros. The decrease in price of the necklace was 6.5 euros, which means the reduction in price of the pearl was 6.5 euros. Therefore, the original price of the pearl was 52 euros.
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There are 15C5 or 3003 possible combinations in the sample space.There are 20C5 or 15504 possible combinations in the sample space.
What is number?A number is a mathematical object used to count, measure, and label. Numbers can be represented in many different forms such as natural numbers, integers, real numbers, and complex numbers. They can also be classified as scalar numbers (which have a magnitude or value only) or vector numbers (which have both magnitude and direction). Numbers can be used to represent many different things, including measurements, distances, money, and quantities.
A. Sample space: The sample space for this experiment is the set of all possible combinations of 5 questions that can be selected from 15 questions. This can be calculated as follows: 15 choose 5 = 15!/(5!×10!) = 3003. Therefore, the total number of sample points in the sample space is 3003.
B. Sample space: The sample space for this experiment is the set of all possible combinations of 5 members that can be selected from the 20-member membership. This can be calculated as follows: 20 choose 5 = 20!/(5!×15!) = 15504. Therefore, the total number of sample points in the sample space is 15504.
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writing unit fractions to add or subtract.
Answers
1/3 + 1/6
---Find a common denominator, or the least common multiple of the given denominators. In this case, that would be 6.
1/3 = 2/6
1/6 = 1/6
---Now add the fractions
2/6 + 1/6
3/6
---Simplify/Reduce the fraction
3/6
1/2
Answer: 1/2
1/3 + 1/6 = 2/6 + 1/6 = 3/6 (or 1/2)
Hope this helps!
Answer:
the 2/3 will become 2/6
answer = 1/2
Step-by-step explanation:
2/6+1/6=3/6 redices to 1/2
Which point is located in Quadrant III ?
(−1/2, 1/4)
(1/2, −1/4)
(−1/2, −1/4)
I will give you brainliest if you are right
Answers
Answer:
here you go :)
Quadrant lll is always both negative so the answer is (-1/2, -1/4)
Step-by-step explanation:
in this activity, you will connect doing business with using the tools of algebra. You've seen a lot of scenarios in which people business use algebra to ensure or monitor their success, including maximizing profit, reaching revenue goals, and calculating the consequences of price increases. Imagine that you're involved in a business venture that could benefit from algebraic expressions and calculations . If you've been involved in such a business , recall what that experience entailed Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor . Also include ways in which the business might operate differently with those tools than without them.
Answers
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Find the measures of an exterior angle and an interior angle given a regular polygon with 3 sides. Round to the nearest tenth, if necessary.
Answers
Answer:
Step-by-step explanation:
A regular polygon with 3 sides is an equilateral/equiangular triangle. All the interior angles measure 60 degrees. The exterior angles are supplementary to that (add up to 180) so an exterior angle is 180 - 60 = 120
- Show BOTH distribution and FOIL to find the product of (3x - 2)and(2x + 6).
Answers
Given the following question:
\((3x-2)\times(2x+6)\)Foil method:
\(\begin{gathered} (3x-2)\times(2x+6) \\ \mleft(3x-2\mright)\mleft(2x+6\mright)=3x\cdot\: 2x+3x\cdot\: 6-2\cdot\: 2x-2\cdot\: 6 \\ 3x\cdot\: 2x+3x\cdot\: 6-2\cdot\: 2x-2\cdot\: 6 \\ 3x\times2x=6x \\ 6\times2=12 \\ 6x+x=7x\times2=14x \\ =6x^2+14x-12 \end{gathered}\)Your answer using the foil method is 6x^2 + 14x - 12
Question: Find the perimeter and area of the rhombus.
Answers
answer:
perimeter- 12
area- 4.5
step-by-step explanation:
perimeter-
p=4a
=4*3
=12
area-
a=pg/2
=3*3/2
=4.5
good luck :)
i hope this helps
brainliest would be highly appreciated
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A total of 354 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answers
There are 118 adult tickets sold
This is because 354/3 =118
and 118+118=236
236 are the child tickets
therefore 118 are the adult tickets.
Hope this helped!
The total number of adult ticket sold is 118 tickets.
Application of linear equation.
Let's write "x" to represent how many adult tickets were sold.
The information provided indicates that there were twice as many student tickets sold as adult tickets. The quantity of student tickets sold can therefore be stated as 2x.
There were 354 total tickets sold, which includes both student and adult tickets.
We may construct an equation based on the total number of tickets to resolve this issue:
x + 2x = 354
Combining comparable variables
3x = 354
x = 354 / 3
x = 118
118 adult tickets were consequently sold.
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Nicole has a bag of M&Ms candy. The bag contains 56 brown, 34 red, 22 green, 34 yellow, 26 blue, and 28 orange candies.
Part A: What is the probability the next candy she pulls out of the bag is
Answers
Answer:
Brown candy
Step-by-step explanation:
Brown has the highest chance of being pulled out of the bag since brown candies have the greatest number out of all the candies.
(Arranged from lowest to greatest)
22 Green
26 Blue
28 Orange
34 Yellow
34 Red
56 Brown
Please help me literally need this to be answered in 2 hours P-L-E-A-S-E !!
Answers
Answer:
Yeah with that type of problem
Step-by-step explanation:
You aint getting answered for the next 4 hours <3
A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the basket?
Round to the nearest tenth if necessary.
No label is required.
Answers
Answer:
10 ft²
Step-by-step explanation:
Recall that the volume of a uniform cylinder may be defined by the formula:
Volume = Base Area x Height
In our case we are given
Volume = 15 ft³ and Base Area = 1.5 ft
Substituting these known values into the formula gives:
Volume = Base Area x Height
15 = Base Area x 1.5
Base Area = 15 / 1.5
Base Area = 10 ft²
find the point estimate for the unknown population proportion based on the given values of and where correct! 0.5436 1.84 106 0.4564
Answers
The point estimate for the unknown population proportion is approximately 0.5761.
To find the point estimate for the unknown population proportion, we can use the formula:
Point Estimate = x / n
Given that x = 106 and n = 184, we can substitute these values into the formula:
Point Estimate = 106 / 184 ≈ 0.5761
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Use the function y=3/2x +3 to
complete the table of values.
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
\(y=\frac{3}{2}x\:+3\)
Putting all the values of y=9, 6, 0, and -3 to complete the tableFOR y=9
\(y=\frac{3}{2}x\:+3\)
putting y=9
\(9=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=9\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=9-3\)
\(\frac{3}{2}x=6\)
\(3x=12\)
\(x=4\)
Hence,
when y=9, x=4
FOR y=6
\(y=\frac{3}{2}x\:+3\)
putting y=6
\(6=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=6\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=6-3\)
\(\frac{3}{2}x=3\)
\(3x=6\)
\(x=2\)
Hence,
when y=6, x=2
FOR y=0
\(y=\frac{3}{2}x\:+3\)
putting y=0
\(0=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=0\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=0-3\)
\(\frac{3}{2}x=-3\)
\(3x=-6\)
\(x=-2\)
Hence,
when y=0, x=-2
FOR y=-3
\(y=\frac{3}{2}x\:+3\)
putting y=-3
\(-3=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=-3\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=-3-3\)
\(\frac{3}{2}x=-6\)
\(3x=-12\)
\(x=-4\)
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
solve the Inequality for x .25x=3.75
Answers
Answer:
0.15
Step-by-step explanation:
We can divide both sides to single out the x:
x = \(\frac{3.75}{25}\)
Simplifying that gives:
x = 0.15
Answer: I believe the answer is: x=15
Step-by-step explanation: 15*.25=3.75
doy corona
· ½ litro de pintura verde entre cuatro de sus compañeros
· ¾ de pintura roja entre tres de sus compañeros
· 2/3 de pintura azul entre cuatro de sus compañeros
cantidad exacta de pintura que le corresponde a cada compañero
Answers
1) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{8}\) litros de pintura verde.
2) Cada uno de los tres compañeros tiene correspondido \(\frac{1}{4}\) litros de pintura roja.
3) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{6}\) litros de pintura azul.
En este problema debemos calcular la cantidad y los tipos de pintura correspondiente a cada compañero, el cual se calcula la cantidad dividida por la cantidad de compañeros:
Pintura verde
\(v = \frac{\frac{1}{2}\,L }{4}\)
\(v = \frac{1}{8}\,L\)
Pintura roja
\(r = \frac{\frac{3}{4}\,L }{3}\)
\(r = \frac{1}{4}\,L\)
Pintura azul
\(a = \frac{\frac{2}{3}\,L }{4}\)
\(a = \frac{1}{6}\,L\)
Las cantidades correspondientes a cada compañero son las siguientes:
1) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{8}\) litros de pintura verde.
2) Cada uno de los tres compañeros tiene correspondido \(\frac{1}{4}\) litros de pintura roja.
3) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{6}\) litros de pintura azul.
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