The proportion of people who never had a cavity is 0.92.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 8% of adults have never had a cavity. A dental graduate student contacts an srs of 1000 adults.
8% of 1000 is,
= (8/100)×1000.
= 80.
Now, The proportion of people who never had a cavity is (1000 - 80)/100.
= 920/1000.
= 92/100.
= 0.92 proportion of people never had a cavity.
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What is the first quartile and third quartile of this data set: 34, 34, 36, 39, 50, 41, 45, 47, 40?
Answer:
http://web.mnstate.edu/peil/MDEV102/U4/S36/S363.htmlStep-by-step explanation:
Answer:
First quartile: 35
Third Quartile: 46
Step-by-step explanation:
answer this for me ty
Answer:
number 3.
reason- you can compare urban and rural in 2000 and tell there are more urban people.
Amanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
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Match each image with the word it represents.
this is due now pls explain how to do this
Answer:
C. Vertical angles
Step-by-step explanation:
Given angles 5 and 8 where line c crosses line a, you want to know what type they are.
Crossing linesWhere two lines cross, four angles are formed. They all share the vertex point where the lines intersect. If they share a side (and no interior space), they are adjacent angles that form a linear pair. As such, they are supplementary.
In the given figure the supplementary angle pairs where line c crosses line a are ...
(5, 6), (6, 8), (7, 8), (5, 7)
If the angles do not share a side, but are formed from opposite rays, they are "vertical angles" and are congruent.
The vertical angle pairs there are ...
(5, 8), (6, 7)
Angles 5 and 8 are vertical angles, choice C.
__
Additional comment
Angle pairs (1, 8) and (2, 7) are "alternate exterior angles." Angle pairs (3, 6) and (4, 5) are "alternate interior angles."
Assuming lines b and c are parallel, considering also angles where line b crosses line a, there are additional supplementary pairs of angles:
(1, 2), (2, 4), (3, 4), (1, 3), (1, 6), (1, 7), (2, 5), (2, 8), (3, 5), (3, 8), (4, 6), (4, 7)
When parallel lines are crossed by a transversal, all of the acute angles are congruent, all of the obtuse angles are congruent, and the acute angles are supplementary to the obtuse angles. The angles are referred to by different names (and different theorems), depending on where they are in relation to the transversal and the parallel lines.
The problem here is mostly concerned with vocabulary. The "how to do this" is "learn the vocabulary."
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The masses m, are located at the points P₁. Find the moments My and My and the center of mass of the system. m₁ = 2₁ m₂ = 1, m3 = 7; P₁(2, -5), P₂(-3, 3), P3(3, 5). Mx =___. My =____. (x, y) = _____
To find the moments \(\(M_x\) and \(M_y\)\) and the center of mass \(\((x, y)\)\) of the system, we can use the formulas:
\(\(M_x = \sum_i m_i y_i\)\)
\(\(M_y = \sum_i m_i x_i\)\)
\(\(x = \frac{M_y}{\sum_i m_i}\)\)
\(\(y = \frac{M_x}{\sum_i m_i}\)\)
Given the following information:
\(\(m_1 = 2, m_2 = 1, m_3 = 7\)\)
\(\(P_1(2, -5), P_2(-3, 3), P_3(3, 5)\)\)
We can calculate the moments \(\(M_x\)\) and \(\(M_y\)\) as follows:
\(\(M_x = (m_1 \cdot y_1) + (m_2 \cdot y_2) + (m_3 \cdot y_3)\)\)
\(\(M_y = (m_1 \cdot x_1) + (m_2 \cdot x_2) + (m_3 \cdot x_3)\)\)
Substituting the given values, we have:
\(\(M_x = (2 \cdot -5) + (1 \cdot 3) + (7 \cdot 5) = -10 + 3 + 35 = 28\)\)
\(\(M_y = (2 \cdot 2) + (1 \cdot -3) + (7 \cdot 3) = 4 - 3 + 21 = 22\)\)
To find the center of mass, we divide \(\(M_x\)\) and \(\(M_y\)\) by the sum of the masses:
\(\(x = \frac{M_y}{m_1 + m_2 + m_3} = \frac{22}{2 + 1 + 7} = \frac{22}{10} = 2.2\)\)
\(\(y = \frac{M_x}{m_1 + m_2 + m_3} = \frac{28}{2 + 1 + 7} = \frac{28}{10} = 2.8\)\)
Therefore, the moments and the center of mass of the system are:
\(\(M_x = 28\)\)
\(\(M_y = 22\)\)
\(\((x, y) = (2.2, 2.8)\)\)
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The sum of two numbers is 33. One number
is 27 more than the other one. Find the
numbers.
Step-by-step explanation:
a+b = 33
a-b = 27
______+
2a = 60
a = 30
b = 33-30 = 3
so, the numbers are : 30 and 3
Write an equation for the line passing through (-1, 5) that is perpendicular to y = 1/7x+4
Answer: y = -7x-2
Step-by-step explanation:
Perpindicular lines always have the opposite reciprocal of the original line's slope. so the opposite reciprocal of 1/7 is -7, and the reason why I put the -2, is because -7(-1) +2 = 5, which creates the coordinate (-1,5).
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-12,8). (3,3)
Answer: in point slope form, the equation would be:
(y-8)=-1/3(x+12)
in slope-intercept form, the equation would be:
y=-1/3x+4
hope this helps! :)
Step-by-step explanation:
7(p + 3) + 9 = 5(p – 2) – 3p What is P
Answer:
p = -8
Step-by-step explanation:
Step 1: Write equation
7(p + 3) + 9 = 5(p - 2) - 3p
Step 2: Solve for p
Distribute: 7p + 21 + 9 = 5p - 10 - 3pCombine like terms: 7p + 30 = 2p - 10Subtract 2p on both sides: 5p + 30 = -10Subtract 30 on both sides: 5p = -40Divide both sides by 5: p = -8Step 3: Check
Plug in x to verify it's a solution.
Substitute: 7(-8 + 3) + 9 = 5(-8 - 2) - 3(-8)Parenthesis: 7(-5) + 9 = 5(-10) + 24Multiply: -35 + 9 = -50 + 24Add: -26 = -26The total cost to develop camera pictures is proportional to the number of pictures being made. Maria paid 5.50 for 50 pics made. What number represents the constant in this proportional relationship.
Answer: 0.11
Step-by-step explanation:
Suppose y represents the cost, x represents the number of pictures, then y=kx {positive proportional function}
when x=50, y=5.5
5.5=50k
k=5.5/50
k=55/500
k=0.11
10 more than a number c is 3.
Equation
Solution
Answer:
c + 10 = 3
Step-by-step explanation:
1 point
What is the value of x? Round to the nearest tenths place
15 ft
13 ft
х
Answer:
7.5
Step-by-step explanation:
The values 15ft, 13ft and x are the sides of a right triangle;
According to pythagoras theorem;
15² = 13²+x²
x² = 15² - 13²
x² = 225 -169
x² = 56
x = √56
x = 7.48
Hence the value of x to the nearest tenth is 7.5 to the nearest tenth
Vaimiti walks at a constant pace of 1.1 m/s and takes 25 minutes to get to school.
Jabril walks at 1.3 m/s and takes 30 minutes to get to school.
What is the difference between the distances they walked?
PLEASE HELPP
Solution:
Note that:
Speed = Distance/TimeVaimiti speed = 1.1 m/s Jabril speed = 1.3 m/sConverting the time (minutes to seconds) for Vaimiti to reach school:
Vaimiti's time to reach school: 25 minutes = 25 x 60 seconds=> Vaimiti's time to reach school: 1500 secondsConverting the time (minutes to seconds) for Jabril to reach school:
Jabril's time to reach school: 30 minutes = 30 x 60 seconds=> Jabril's time to reach school: 1800 secondsFinding the distance of Vaimiti:
Speed = Distance/TimeImportant: The distance will be in meters since the speed units is meters/seconds.
=> 1.1 meters/second = Distance/1500=> 1.1 x 1500 = Distance=> 1650 meters = Distance (In meters)Finding the distance of Jabril:
Speed = Distance/TimeImportant: The distance will be in meters since the speed units is meters/seconds.
1.3 meters/second = Distance (In meters)/1800 seconds=> 1.3 x 1800 = Distance (In meters)=> 2340 meters = Distance (In meters)This can lead to two possible solutions:
Possible solution #1:
Finding the difference between the two distances:
2340 meters - 1650 meters = Difference (In meters)=> 690 metersPossible solution #2:
The difference between the distances they walked is that Jabril walked faster than Vaimiti, but Vaimiti reached school earlier than Jabril because the walking distance for Vaimiti is less than the walking distance for Jabril.
Hoped this helped!
To solve this we first of all need to find the distances travelled by both Vaimiti and Jabril and then we will find their difference...
Let's start solving ~
:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:
Distance covered by Vaimiti ⤵️\( \tt \leadsto \: Distance = Speed × Time\)
Vaimiti's speed = 1.1 m/sTime taken by her = 25 minutes = 25×60 = 1500 seconds\( \sf \leadsto \: Distance = 1.1 \times 1500\)
\( \boxed{ \rm\multimap \: Distance = 1650 \: m}\)
\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)
Distance covered by Jabril ⤵️\( \tt \leadsto \: Distance = Speed × Time\)
Jabril's speed = 1.3 m/sTime taken by her = 30 minutes = 30×60 = 1800 seconds
\( \sf \leadsto \: Distance = 1.3\times 1800\)
\( \boxed{ \rm\multimap \: Distance = 2340 \: m}\)
\(\rule{300pt}{3pt}\)
Difference between distances travelled by them↯Distance travelled by Vaimiti = 1650 mDistance travelled by Jabril = 2340 m\( \bf\nRightarrow \: Difference = 2340 - 1650\)
\( \bf \nRightarrow \: Difference = 690 \: m\)
➪ Therefore, The difference between distance travelled by them is 690 meter...~
Jennifer and Ashley went to the store. Jennifer bought 1.2
pounds of apples. Ashley bought 0.75 pound of grapes. How
many pounds of fruit did they buy in all? Make sure to write your equation to receive credit.
Answer:
1.2+0.75=1.95 pounds
Step-by-step explanation:
a brass strip previous cold rolled 33% is now 2.0-in thick. it is then cold rolled further to 1.50-in. how much cold-working has been done? (note: in cold-rolling only thickness is decreasing):
33% of cold-working has been done if a brass strip previously cold rolled 33% is now 2.0-in thick and is then cold rolled further to 1.50-in.
First, we need to calculate the initial thickness of the brass strip before it was cold-rolled. We can do this by taking 33% of the final thickness of 2.0-in. This gives us an initial thickness of 0.66 in.
Next, we need to calculate the change in thickness after cold-rolling. We can do this by subtracting the final thickness of 1.50 in from the initial thickness of 0.66 in. This gives us a change in thickness of -0.16-in.
Finally, we need to calculate the percentage of cold work done. We can do this by taking the change in thickness and dividing it by the initial thickness and multiplying by 100. This gives us a percentage of cold-working of -33%.
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If Mark was 12 years Old 10 years ago how old will he be 8 year from now
Answer:
Mark is currently 22 years old; if you add 8 years to 22, he will be 30 years old.
Step-by-step explanation:
hope this helps:) please mark brainliest.
Answer:
he would be 30
Step-by-step explanation:
i
An ideal gas is contained in a cylinder with a volume of mL at a temperature of and a pressure of torr. The gas is then compressed to a volume of mL, and the temperature is raised to . What is the new pressure of the gas
The new pressure of the gas from the calculation is 51223 torr.
What is the gas laws?The gas laws are a set of fundamental principles that describe the behavior of gases under different conditions. They relate the variables of pressure, volume, temperature, and the amount of gas.
These gas laws provide a framework for understanding and predicting the behavior of gases in various situations and allow for calculations involving pressure, volume, temperature, and the amount of gas.
Using;
P1V1/T1 = P2V2/T2
P1V1T2 = P2V2T1
P2 = P1V1T2/V2T1
P2 = 710 * 5.0 * 10^2 * 1093/303 * 25
= 51223 torr
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F
Х
99°\ 11 ft
S
52°
D
22 ft
99°
C
9 ft
6 ft
B
A
12 ft
29° 52°
E
Your answer:
x = 33, S = 52
X = 16.5, S = 29°
x = 14, S = 99°
x = 18, S = 52°
Clear answer
98879Answer:898987
ytf56r5ytr76trt
Step-by-step explanation:
In Exercise 5.18, Y1 and Y2 denoted the lengths of life, in hundreds of hours, for components of types I and II, respectively, in an electronic system. The joint density of Y1 and Y2 isReferenceAn electronic system has one each of two different types of components in joint operation. Let Y1 and Y2 denote the random lengths of life of the components of type I and type II, respectively. The joint density function is given by(Measurements are in hundreds of hours.) Find P(Y1 > 1, Y2 > 1).
In an electrical system, components of categories I and II have a life expectancy measured in hundreds of hours, respectively. The probability of finding the combined density of Y1 and Y2 is equal to e^(−2).
The components of type I and type II, respectively, have random life spans denoted by the letters Y1 and Y2, respectively. Given by is the joint density function (Measurements are in hundreds of hours.)
Probability P(Y1 > 1, Y2 > 1) = ∫2¹∫1¹ (1/2)e^(−x−y) dx dy = e^(−2).
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Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
5 cm
10 cm
8 cm
4 cm
13 cm
Answer:
10cm -4cm=6cm
Step-by-step explanation:
answer=6cm
A random variable is a. A variable that takes of values that are uncertain b. A variable that takes on known values c. A variable that is always zero d. A variable that takes on null values only
A random variable is a variable that takes on values that are uncertain or probabilistic in nature.
Therefore, the correct option is a) A variable that takes on values that are uncertain.
Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.
These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.
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Triangle abc is congruent to triangle edf. So, priya knows that there is a sequence of rigid motions that takes abc to edf.
Triangle abc is congruent to triangle edf. So, priya knows that there is a sequence of rigid motions that takes abc to edf. From the rigid transformation that takes ABC to EDF, the coinciding parts based on congruency; are matched below.
Triangle congruence is when two triangles are said to be congruent to one another, it signifies that their corresponding sides and angles are equal.
Consequently, we can state that if triangle ABC and triangle EDF are congruent;
Angle A ≅ Angle E
Angle B ≅ Angle D
Angle C ≅ Angle F
Segment AB ≅ Segment ED
Segment AC ≅ Segment EF
Segment BC ≅ Segment DF
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paul got 72 marks in a maths test. 72 marks is 60% of the total number of marks. work out the total number of marks in the test
Answer:
115.2 total marks.
Step-by-step explanation:
If 72 is only 60% of the total marks, then to find the total number of marks we will need to multiply 72 by 60% to find the remaining marks, then add that back to 72.
72 × 0.6 = 43.2 remaining marks.
72 + 43.2 = 115.2 total marks.
The total number of marks in the test is 115.2 total marks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that paul got 72 marks in a maths test. 72 marks is 60% of the total number of marks.
When 72 is only 60% of the total marks, then to find the total number of marks.
We will need to multiply 72 by 60% to find the remaining marks, then add that back to 72.
Then, 72 × 0.6 = 43.2 remaining marks.
72 + 43.2 = 115.2 total marks.
Hence, The total number of marks in the test is 115.2 total marks.
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Above is the question
Answer:
its A
Step-by-step explanation:
asymptotes:=-1 and hole:x=4
Math geometry show work Thanks
Problem 1, part (a)
Answer: FalseFor instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
====================================================
Problem 1, part (b)
Answer: trueThis is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
====================================================
Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Work out the size of angle x.
Give reasons for your answer.
Answer:
80
Step-by-step explanation:
180 - 100 = 80
Answer:
d and h are the same so you will have 200cm divide that by 90 and covert the decimal into a fraction
Step-by-step explanation:
trust me i got it right
The sum of two numbers is –40. One number
is 14 more than the other one. Find the
numbers.
Show your work here
Answer:
-27 + -13 = -40
Step-by-step explanation:
The volume of a cylinder is 225T cm³ and its height is 9 cm.
What is the length of the cylinder's radius?
o 7 cm
o 10 cm
o 5 cm
9 cm
Answer:
The answer for radius is 5cm
Step-by-step explanation:
Volume of Cylinder =pir²h
225pi=pir²×9
225=9r²
divide both sides by 9
9r²/9=225/9
r²=25
√r²=√25
r=5cm