Answers
Answer:
Perpendicular bisector
Step-by-step explanation:
Construction done:
1). An arc is drawn from point O which intersects line 'l' at two points C and D.
2). From the points C and D two equal arcs on both the sides of the line 'l' have been drawn intersecting each other at points P and Q.
3). Points P and Q have been joined with the help of a straightedge.
Hence constructed line PQ is the PERPENDICULAR BISECTOR of the line segment CD.
Related Questions
Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).
First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3
So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.
Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation
y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
Find the distance and midpoint between (3,6) and (5,11)
Answers
Answer:
((3+5)/2,(6+11)/2)=(4,8.5)
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answers
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)
Answers
Answer:
0.0144
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both
P(both) = 6/100 * 6/100 = 36/10000 = 0.0036
At Least one
Just One
94/100 * 6/100 = 564/10000 = 0.0564
Both 0.0036
Total 0.06
Maurice's teacher asked him to compare the mean and median of the data distribution explain and correct Maurice's error in comparing the mean and the median
Answers
The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.
The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.
Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).
-----------------------
To recap:
If we have right skewed data, then mean > median
As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.
m= -3 b= -1 slope intercept form
Answers
Answer:
y = -3x-1
Step-by-step explanation:
all u had to do was plug it into y = mx+b
g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Canadians and 34 Americans were randomly selected and their heart rates measured in beats per minute (bpm). The mean heart rate for Canadians was 68.5 and 70 for Americans. The pooled standard deviation of 2.0 beats/minute was calculated. Estimate a plausible range of differences between the mean heart rate of Canadians and Americans. What statistical procedure should be used to answer this research question
Answers
Answer:
The test statistic | t | =4.45
Step-by-step explanation:
Step(i):-
Given that the first sample size n₁ = 36
Given that the second sample size n₂ = 34
Mean of the first sample x₁⁻ = 68.5
Mean of the second sample x₂⁻ = 70
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]
[tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]
[tex]t = \frac{-1.5}{0.337} = -4.45[/tex]
The test statistic | t | = |-4.45| =4.45
The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.
What is test statistics?The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.
The given information will be shown below.
The first sample size n₁ = 36
The second sample size n₂ = 34
The mean of the first sample x₁ = 68.5
The mean of second sample x₂ = 70
Then the test statistic will be given as
[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]
The test statistic | t | = |–4.45| = 4.45
More about the test statistic link is given below.
https://brainly.com/question/15236063
the population of staten island is 7.6*10^3. the population of Brooklyn is 2.3*10^5. how many people are there in Brooklyn and Staten Island?
Answers
Answer:
1
Step-by-step explanation:
1
Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2
Answers
Answer:
The answer is below
Step-by-step explanation:
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = x + 1 + y + 1 + x = 2x + y + 2
The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6
b)
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3
The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6
Please help will give brainliest answer
Answers
l=5w^2-3w-4
A=w•l
A=4w^3(5w^2-3w-4)
A=20w^5-12w^4-16w^3
Good luck
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answers
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
(Need help) (ASAP)
Point: 18
Answers
Answer:
10
Step-by-step explanation:
The height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume.
Answers
Can y’all help me please
Letters A through F
Please:((
Answers
Answer:
can you take another photo
Step-by-step explanation:
Please help ASAP
Find the slope of the line graphed below.
Answers
Answer:
3/4
Step-by-step explanation:
Hope this helps! :)
The area is ___ square meters. UH HELP I need the steps if anyone can!?
Answers
27m squared
STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared
Jerome is a co-worker of a small company and received 1/3 of the company’s profits this year. What were the company’s overall profits if Jerome made 150,000? Type an equation and solve
Answers
Answer:
The company's overall profits were 450,000.
Step-by-step explanation:
We know that Jerome received 150,000. This 150,000 also counts as 1/3 of the profit, so if we put it as an equation, it gives us this:
1/3x = 150,000 We need to work out how much the overall profits are, which I've labelled as x.
x = 450,000 Here we multiply 150,000 by 3 to get x on its own, or you could also divide by 1/3.
I hope this makes sense to you. ^-^ If not, do let me know.
A line segment has endpoints at(2,4) and (6,10). What are the coordinates of the midpoint of the line segment?
Answers
Answer:
I think the midpoint is (4,7)
Step-by-step explanation:
At the market Sydney put a few pairs in a bag then ways the bag on a product scale the bag pairs way 4.75 pounds she adds more pairs to the bag the new way of the bag is now 5.6 pounds right and solve an addition equation to find the weight of the pairs added to the bag?
Answers
Answer:
0.85 pounds
Step-by-step explanation:
We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.
Let x equal the weight of the pairs added to the bag.
We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.
y = 4.75 + xWe know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.
5.6 = 4.75 + xSubtract 4.75 from both sides of the equation.
0.85 = xThe weight of the pairs added to the bag is 0.85 pounds.
Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplify your answer.
Answers
7 to 4 is the ratio of salsa jars to salsa bags
You don’t have to answer both. Will give brainliest if you help.
Answers
9514 1404 393
Answer:
15) 27
16) 6144
Step-by-step explanation:
15) Jill's sequence is exponential:
3 9 27 81 243
Marlando's sequence is linear:
15 21 27 33 39
The first number in both patterns is 27.
__
16) The number of cards ordered is ...
(256 pkgs)(24 cards/pkg) = 6144 cards
Is this even possible?
Answers
Answer:
yes.
simply subtract the coupons from the total.
56.12-9.85= $46.30
How many groups of of 5/6 are in 1
Answers
Answer:
6/5
Step-by-step explanation:
to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal
Find the volume for the regular pyramid. 4cu units, 6 cu units, or 12 cu units
Answers
Answer:
4 cu. units
Step-by-step explanation:
1/3x2x2x3=4 cu. units
Answer:4cu unit
Step-by-step explanation:
2*2*3=12
12* 1/3 =4
A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear equation to find the number of tomatoes sold.
Answers
Answer:
16 tomatoes
Step-by-step explanation:
50+3t=98
3t=48
t=16
if x squared by 3 equal 64 what is the value of x
Answers
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answers
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answers
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
7. How do you write a deposit of $15?
Answers
You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.
What is a deposit slip?A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.
To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.
To write a deposit slip, you would need to follow these steps:
Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.
Fill in your personal and account information, including your name, account number, and any other required information.
Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.
If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.
Review the deposit slip for accuracy and completeness, and make any necessary corrections.
Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.
Learn more about the deposit slip here:
https://brainly.com/question/30081338
#SPJ2
Please help due tomorrow please explain if can
Answers
Answer:
16) 9ft, C
17) 1440 cm^3, D
18) 314 m^2, B
Step-by-step explanation:
16) 18 / 6 = 27 / x
18x = 162
x = 9 (C)
17) 24 / 1,920 = 18 / x
24x = 34,560
x = 1440 (D)
18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)
SA = 4pi(5)^2
SA = 4pi25
SA = 100pi
SA = 100(~3.14)
SA = 314 (B)