The probability that the committee contains at least one man is 16/21 or 0.7619 or 76.19%.
To find the probability, we divide the number of committees that contain at least one man by the total number of possible committees.
The total number of possible committees is the number of ways to choose 3 people from the 9 total people (6 women and 3 men). This can be calculated using the combination formula C(9,3) = 9! / (3!(9 - 3)!) = 84.
The number of committees that contain at least one man is the number of committees that contain exactly 1 man plus the number of committees that contain exactly 2 men plus the number of committees that contain exactly 3 men.
Exactly 1 man: C(3,1) x C(6,2) = 45
Exactly 2 men: C(3,2) x C(6,1) = 18
Exactly 3 men: C(3,3) = 1
Adding up the results of these three calculations, we find that the number of committees that contain at least one man is
45 + 18 + 1 = 64
probability of having at least one man = 64/84 = 16/21 = 0.7619 = 76.19%
So, the probability that the committee contains at least one man is 16/21 or 0.7619 or 76.19%.
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P (-6,0), Q (-3,-4) and R (-3,1) are three points. Show that PQ=QR
Answer:
see below
Step-by-step explanation:
basically it's asking you the triangle long side if they r the same
PQ length: need to know the diff b/w 2 x's n 2y's
-3+6 = 3
-4-0=-4
so 3²+4² =5² - you should memorize this.
QR length - same thing
-3+3=0
1+4=5
so 0²+5² =5²
Same. done.
A,B,C can do a piece. in 10days, 20days, 30days respectively. In what time will they altogether finish it
Answer:
30 days.
Step-by-step explanation:
Hope it helps! =D
I’m order to measure the height of a large tree, Adam measures the tree’s shadow and immediately measures the length of his shadow. I’d Adam is 4ft 6in. with a shadow of 3ft and the same time the tree’s shadow is 57ft 10in, what is the height of the tree? Round to the nearest tenth of a foot.
The height of the tree is 86.745 feet.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that Adam measures the tree’s shadow and immediately measures the length of his shadow.
Adam is 4ft 6in. with a shadow of 3ft
4ft 6 inches =4.5 feet.
The tree’s shadow is 57ft 10in, we need to find the height of the tree.
57 ft 10 inches=57.83 feet
Let x be the height of the tree.
4.5/3=x/57.83
Apply cross multiplication
4.5(57.83)=3x
260.235=3x
Divide both sides by 3
x=86.745
Hence, the height of the tree is 86.745 feet.
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Consider two investments, one earning simple interest and one earning compound interest. If both start with the same initial deposit (and you make no other deposits or withdrawals) and earn the same annual interest rate, how will the balance in the simple interest account compare to that of the compound interest?
A. The account with simple interest will have the same balance as the account with compound interest because the annual interest rates are equal.
B. The account with simple interest will have the same balance as the account with compound interest because the initial deposits are equal.
C.The account with simple interest will have a greater balance than the account with compound interest because compound interest is interest paid only on the original investment.
D.The account with simple interest will have a smaller balance than the account with compound interest because the more times interest is applied to an investment, the smaller the balance.
E. The account with simple interest will have a smaller balance than the account with compound interest because compound interest is interest paid both on the original investment and on all interest that has been added to the original investment.
The account with simple interest will have a smaller balance than the account with compound interest because compound interest is interest paid both on the original investment and on all interest that has been added to the original investment. (option F)
What is simple and compound interest?An account that earns a simple interest grows at a linear rate while an account that earns a compound interest grows at an exponential rate.
Let us assume the following:
Amount invested = $1000
Interest rate = 5%
Number of years = 5 years
Future value of the account that earns a simple interest in 5 years = amount invested + simple interest
Simple interest = amount invested x time x interest rate
$1000 x 0.05 x 5 = $250
Future value in 5 years = $1000 + $250 = $1250
Future value of the account that earns a compound interest :
Future value = amount invested x (1 + interest rate)^number of years
= 1000 x (1 + 0.05)^5
= 1000 x 1.05^5
= 1,276.28
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The ages of the people at two tables in a restaurant are shown in the chart. Which statement about the ranges of the data sets is true?
Answer:
Where is the data ?
Step-by-step explanation:
Need the data set
HELP pls will mark you the brainliest. Please show your work too.
An ordered pair which is a solution of the linear system of equations include the following: A. (-3, -1/2)
How to graph the solution to this system of equations?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
y = 1/2 x + 1 ......equation 1.
y = 3x/2 + 4 ......equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant III and it is given by the ordered pair (-3, -1/2).
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the side lengths of a trigangle are four inches 6 inches and 9 inches is the triagngle a right
The triangle is scalene which has side lengths of 4 inches, 6 inches, and 9 inches. The correct answer would be an option (C).
What is the Triangle?A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.
As per the question, we have
The three sides of a triangle are 4 inches, 6 inches, and 9 inches.
This means they are all unequal in measurement.
As we know that a scalene triangle has three unequal sides.
Thus, the given triangle is scalene.
Hence, the correct answer would be option (C).
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The question seems incomplete, the complete question would be as:
A triangle has side lengths of 4 inches, 6 inches, and 9 inches. It is _____ triangle.
A. an equilateral
B. an isosceles
C. a scalene
D. None of the above
HELP ASAP, 100 POINTS, WILL GIVE BRAINLIEST TO FIRST ANSWER,
How should a writer address opposing views in an argument?
The writer should ignore opposing views so as to not bring attention to conflicting information.
The writer should mention opposing views to point out the flaws of the people who believe in them.
The writer should include an explanation and evidence as to why the counterclaim is incorrect.
The writer should give equal attention and value to opposing views, including using evidence.
Answer:
The writer should give equal attention and value to opposing views, including using evidence. This helps to strengthen the argument by acknowledging and refuting counterarguments. It also demonstrates to the reader that the writer has considered multiple perspectives and is able to effectively argue their position. By giving equal attention to opposing views, the writer shows that their argument is well-reasoned and credible.
Step-by-step explanation:
When making an argument, it's important to consider and address any opposing views that exist. Giving equal attention to opposing views means acknowledging the validity of these views and providing evidence to refute them. This helps to strengthen the argument by showing that the writer has considered multiple perspectives and has a solid understanding of the issue at hand. It also demonstrates to the reader that the argument is well-reasoned, credible, and based on evidence.
On the other hand, ignoring opposing views, or attacking those who believe in them, weakens the argument and undermines the writer's credibility. If a counterargument is not addressed, the reader may assume that the writer is not aware of it or cannot effectively defend their position. By giving equal attention to opposing views and refuting them with evidence, the writer is able to make a stronger argument and persuade the reader of their point of view.
Answer:
The writer should use facts that can be verified to address and disprove opposing viewpoints.
Step-by-step explanation:
Hope it helps long time no seen
Acellus Geometry Question in Picture. Helpppp BRAINLIEST FOR CORRECT ANSWER
Rotation clockwise about the origin 90 degrees , then reflect over the x axis
What is transformation?A transformation is a mapping or a function that changes the position, size, or shape of an object or image. In mathematics, transformations can refer to a variety of operations such as
translation, rotation, reflection, dilationThe transformation involved in the image is 90 degrees counterclockwise rotation and reflection over the x axis.
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a university found that 40% of its students withdraw without completing the introductory statistics course. assume that students registered for the course. a. compute the probability that or fewer will withdraw (to 4 decimals).
The probability that 0 or fewer students will withdraw from the course is 26.68%.
Let x be the number of students that withdraw from the introductory statistics course.
We can use a binomial distribution to solve this problem. The binomial distribution formula is:
P(x) = nCx * p^x * (1-p)^(n-x)
Where n is the number of trials, p is the probability of success, and x is the number of successes.
In this case, n = 100 (the number of students registered for the course), p = 0.4 (the probability of a student withdrawing from the course), and x = 0, 1, 2, ..., 100 (the number of students that withdraw from the course).
We want to calculate the probability that 0 or fewer students will withdraw from the course. This can be calculated by summing all the probabilities of x = 0, 1, 2, ..., 100:
[tex]P(x ≤ 0) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 100)\\P(x ≤ 0) = nCx * p^x * (1-p)^(n-x)\\P(x ≤ 0) = 100C0 * 0.4^0 * (1 - 0.4)^100\\P(x ≤ 0) = 0.2668 = 26.68%[/tex]
The probability that 0 or fewer students will withdraw from the course is 26.68%.
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Help please!! Numbers 7-9
The value of the expression 7 - 9 using subtraction will be negative 2.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
7 and 9
Then the difference between the numbers 7 and 9 will be given by putting a minus sign between them. Then we have
⇒ 7 - 9
⇒ - 2
The value of the expression 7 - 9 using subtraction will be negative 2.
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A cylinder has a height of 9 yards and a diameter of 34 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
The volume of the cylinder is given by the equation V = 8,167.14 yards³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be represented as V
Now , the equation will be
The height of the cylinder h = 9 yards
The diameter of the cylinder d = 34 yards
So , the radius of the cylinder r = d/2 = 17 yards
And , Volume of Cylinder = πr²h
Substituting the values in the equation , we get
Volume of Cylinder = ( 3.14 ) x ( 17 )² x 9
On simplifying the equation , we get
Volume of Cylinder = ( 3.14 ) x 2,601
Volume of Cylinder = 8,167.14 yards³
Hence , the volume of cylinder is 8,167.14 yards³
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Translate the following English phrases into algebraic equation and vice versa.
5(x+4)=6 Answer: ?
x-7=10 Answer: ?
if n and r are positive integers such that 1<=r<=n, show that [tex]^nC_{r} + 2[^nC_{r-1}] + ^nC_{r-2} = ^n^+^2 C_{r}[/tex]
correct answer :- instant brainliest
Answer:
AnCr+AnCr - 1 = n!/(n - r)!r! + n/(n - r + 1)!(r -
|1)! = n!(n - r+ 1)/(n -r+ 1)!r! + n!r/(n - r + 1)!r!
F n!/(n - r+ 1)!r!(n - r+1 +r) = (n +.
negative one-third divided by five-fourths divided by negative two-fifths equals?
The solution of the division of the fraction is expressed as; -⁴/₁₅
How to divide fractions?When dividing fractions, what will carry out first is to turn it into multiplication. Thereafter, we will make use of the multiplicative inverse (reciprocal) to multiply.
We have the expression as;
-¹/₃ ÷ ⁵/₄
By the method described above, we can say that the solution is;
-¹/₃ × ⁴/₅
= -⁴/₁₅
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find the slope of the line that passes through each pair of points. (2,4) and (9,12)
Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope of the line in this caseIn this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:
m= (12 -4)÷ (9 -2)
Solving:
m= 8÷ 7= 8/7
Finally, the slope of the line is 8/7.
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For each ordered pair (x,y), determine whether it is a solution to the inequality y>2?
For each ordered pair (x,y),
the solution is (-8, 7).
The correct option is D.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
We have an inequality:
y > 2.
From the given choices of ordered pair (x, y):
Substituting the values to the inequality.
And then,
7 > -8.
Therefore, the solution is (-8, 7).
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A graphed line has a slope of -2 and passes through the point (7,-4). Which equation represents the line?
Answer:
C
Step-by-step explanation:
if you put the point value in the equation you get
-4 - (-2×7) = n
-4 + 14 = n
10 = n
there are 200 cookies in a bag. 15% for which are wrapped. if 80% of the cookies are oatmeal, what is the smallest number of wrapped oatmeal cookies that could be in the bag
15% wrapped = 30
20% not oatmeal = 40
30 wrapped could all be not oatmeal.
there are 200 pieces of cookies in a bag.
15% are wrapped.
this means that .15 * 200 = 30 are wrapped.
80% of the cookies are oatmeal.
this means that .8 * 200 = 160 are oatmeal.
this also means that .2 * 200 = 40 are not oatmeal.
Unless I'm misreading the situation, it is entirely possible that none of the wrapped cookies are oatmeal as there are more than 30 cookies that are not oatmeal and 30 are wrapped.
It would be a different situation if cookies were chosen at random and then wrapped.
Without even glancing at the cookies, you would choose 30 for wrapping.
The likelihood that you would choose an oatmeal cookie is.
.8 given that oats make up 80% of the batch of cookies.
the likelihood that you would choose an oatmeal-free cookie. 2 since just 20% of the batch's cookies contains oats.
The likelihood of it happening if you pick at random is: The fewest number of oatmeal cookies that are wrapped would still be 0, and the probability of that happening is:
c(40,30) / c(200,30) = 2.069..... * 10^-27
bottom line is that it is possible to get 0 oatmeal cookies wrapped if you pick cookies out of the batch randomly, but the probability that they will all not be oatmeal is extremely small.
the probability that all the wrapped cookies are not oatmeal when you pick the cookies out of the batch randomly is 2.06907098 * 10^-27
that's a very small probability.
it's so small that if you rounded the answer to 26 decimal digits, it would be equal to 0.
but it's not zero, and therefore it is possible that you could get zero wrapped cookies that are oatmeal if you picked them out of the batch randomly without looking at them.
if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.
that's my take.
but it's not zero, and therefore it is possible that you could get zero wrapped cookies that are oatmeal if you picked them out of the batch randomaly without looking at them.
if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.
that's my take.
but it's not zero, and therefore it is possible that you could get zero-wrapped cookies that are oatmeal if you picked them out of the batch randomly without looking at them.
if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.
that's my take.
15% wrapped = 30
20% not oatmeal = 40
30 wrapped could all be not oatmeal.
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Choose the correct response.
A. Yes. Every unique input has a unique output.
B. Yes. Every input maps to more than one output.
C. No. Not every input maps to an output.
D. No. Not every unique input maps to only one unique output.
Answer:
The answer would be C: not every input maps to an output.
Methods used that summarize or describe characteristics of data are called?
Methods used that summarize or describe characteristics of data are called Descriptive statistics
Descriptive statistic is defined as the method fro summarizing data and information to partition them into a section of meaningful data.It contains descriptive coefficients that defined the meaningfulness of the data .
Variability and central tendency are the part of descriptive statistics that describe the spread and central point of the data respectively.
Other options are incorrect because overall statistics measure complete components ,average statistics take mean of complete statistic data and inferential statistic is based on random data sample.
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44.50 mililiters to liters
Answer:
0.0445L
Step-by-step explanation:
1L = 1000ml
so 44.5ml =44.5/1000 =0.0445L
A souvenir shop sells standard-sized decks of cards and mini-decks of cards. A card in the standard deck is a rectangle that has a length of 3.5 inches and a width of 2.5 inches. The perimeter of a card in the mini deck is 6 inches. What is the area of a card in the mini deck?
The required area of a card in the mini deck is 2.1875 inch².
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
Perimeter of the card in a standard deck = 2 [3.5 + 2.5] = 12 inch
Scale factor = perimeter of the mini deck / standard deck = 6 / 12 = 1/2
Now,
Dimensions of mini-deck,
length = SF × length of large card
length = 1/2 × 3.5
length = 1.75 inch
Similarly,
Width = 1.25
Now,
Area of the mini cards = 1.75 × 1.25 = 2.1875 inch².
Thus, the required area of a card in the mini deck is 2.1875 inch².
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Question
How should this model be completed to represent 1,881 ÷ 33?
Enter your answers in the boxes.
The completed entries is added as an attachment
How to determine the entries in the boxFrom the question, we have the following parameters that can be used in our computation:
1,881 ÷ 33
Express 1881 as 1650 + 231
So, we have the following representation
1,881 ÷ 33 = (1650 + 231) ÷ 33
Expand the expression
So, we have the following representation
1,881 ÷ 33 = 1650 ÷ 33 + 231 ÷ 33
Evaluate the quotients
1,881 ÷ 33 = 50 + 7
Next, we complete the blanks (see attachment) for the completed entries
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suppose a similar survey will be given to vaccine-eligible people in canada by canadian health officials. a 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. what is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02?
The sample size would need to be at least 1130 to guarantee a margin of error of 0.02 or less.
To calculate the sample size required to construct a 99 percent confidence interval for the proportion of people who will have received flu vaccine in Canada, the following formula can be used:
n = (Zα/2)2 * P * (1-P) / E2
Where n is the sample size, Zα/2 is the z-score for 99 percent confidence (2.58), P is the estimated proportion of the population that will receive the flu vaccine (assumed to be 0.5), and E is the margin of error (0.02).
Plugging in the values, we get:
n = (2.58)2 * 0.5 * (1-0.5) / (0.02)2 = 1130
Therefore, the sample size would need to be at least 1130 to guarantee a margin of error of 0.02 or less.
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You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues and enter your answer below.
Based on the clues, it can be concluded the correct digits for the lock are 564.
What are the correct digits?This password can be solved by using logic and the information provided in the clues as it follows:
The fourth clue says all digits are false which means 2, 3, and 8 are not in the number.The fifth clue says one digit is right but in the wrong place and this number is 5.The third clue says two digits are right but in the wrong place based on this, we can know 5 should go in the first place.It can be inferred that the digit that is right and in its place is 4 in the first clue.Finally, it can be inferred the missing number is 6.Learn more about combinations in https://brainly.com/question/19692242
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PLEASE HELP!!!
For the figure below, what is the total sum degrees of the exterior angles? How do you know?
Answer:
360°
Step-by-step explanation:
The sum of all exterior angles for a polygon is always 360 degrees
if the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
The new length and width of the living room would be 20% greater than the original length and width.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used.
A percentage is a number with no dimensions; it has no unit of measurement.
To increase the length and width of a room by 20%,
We need to add 20% of the original length and width to the original values.
If the original length and width of the living room are L and W respectively, the new dimensions would be:
New length = L + 0.20 * L = 1.20 * L
New width = W + 0.20 * W = 1.20 * W
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If you fit a slope and intercept at the same time, then their errors will be correlated. True or False?
The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.
What is the intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.
These points satisfy x = 0 because of this.
The errors of a slope and an intercept will be connected if you fit them simultaneously.
By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.
Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.
Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.
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Malcolm and his father want to build a frame for their favorite poster. What strategy could they use to find out how much framing material they will need?
The strategy to use to find out how much framing material they will need is d. Cover the poster with square-inch grid paper to find the area
Why is Option D correct?Cover the poster with square-inch grid paper to find the area - This method would give the total number of square inches of the poster and would be a good starting point for determining the size of the frame required.
The recommended strategy would be to measure the poster in inches with a ruler to determine the dimensions, then use that information to calculate the total area. This would be a good starting point for determining the size of the frame required.
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