In 1820 different ways a group of four people can be selected from this group of 16.
In 35 ways four women can be chosen from the group of 7 women.
The probability that all women will be chosen to attend the conference is 1.92%.
What is probability?The proportion of favourable outcomes to all possible outcomes of an event is known as the probability. The number of positive outcomes for an experiment with 'n' possible outcomes can be represented by the symbol x. The probability of an event can be determined using the following formula.
To find how many different ways can a group of four people be selected from this group of 16, we will implement the combination formula.
[tex]^n C_r=\frac{n !}{r ! (n-r) !}[/tex]
Where,
nCr = number of combinations
n = total number of objects in the set
r = number of choosing objects from the set
Here, n = 16 and r = 4, substituting the values we get
[tex]^{16} C_4=\frac{16 !}{4 ! (16-4) !}[/tex]
[tex]^{16} C_4 =[/tex] 1820
Hence, in 1820 different ways a group of four people can be selected from this group of 16.
To find how many ways can four women be chosen from the group of 7 women we will implement the combination formula.
Here, n = 7 women and r = 4 women, substituting the values we get
[tex]^7 C_4=\frac{7 !}{4 ! (7-4) !}[/tex]
[tex]^7 C_4=[/tex] 35
Thus, in 35 ways four women can be chosen from the group of 7 women.
The probability that all women will be chosen to attend the conference is
[tex]\frac{^7 C_4}{^{16}C_4}[/tex] = 35/1820
= 0.01923076
= 1.92%
Thus, the probability that all women will be chosen to attend the conference is 1.92%.
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Which equation represents a line which is parallel to the line
y = 1/2x +3
Equation represents a line which is parallel to the line
y = 1/2x +3 with (2,5)
Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2
Use Point-Slope equation [y-y1 = m(x-x1)]
with the given point (2,5): y-
5=1/2(x-2)
Distribute the 1/2: y-5=1/2x-1
Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5
Answer:
y=1/2x+4
A parallel equation can be located in what way?
In the absence of an intersection, two lines are said to be parallel. Each line has the same slope. In the event that m1=m2, f(x)=m1x+b1 and g(x)=m2x+b2 are parallel. If m 1 = m 2, then f (x) = m 1 x + b1 and g (x) = m 2 x + b2 are parallel.
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Determine whether the equation y=7-x represents a linear or nonlinear function.
Answer: linear equation
Step-by-step explanation:
because x is not squared
Sue picks a new password for her email that consists of 3 letters, 2 digits, and a special character (! or #). Letters and digits cannot repeat. How many different passwords are possible?
12
2,808,000
2,246,400
3120
There are different 2,808,000 passwords possible which are the correct answer would be option (B)
What is a permutation?A permutation is defined as a mathematical process that determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
Sue picks a new password for her email that consists of 3 letters, 2 digits, and a special character (! or #) which is given in the question.
As per the given condition,
For the first letter, we have 26 options.
For the second letter, we have 25 options, because one letter is already used.
For the third letter, we have 24 options, because 2 letters are already used.
For the first digit, we have 10 options.
For the second digit, we have 9 options, because one is already used.
For the first special character (! or #), we have 2 options.
Then the total number of combinations is:
Combinations = 26×25×24×10×9×2 = 2,808,000
So if we can not repeat digits or letters, we can make 2,808,000 different passwords.
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please help. I will do anything.
Answer:
216 miles
Step-by-step explanation:
so the base fee is 18.99, subtract the total (219.87) by 18.99.
219.87-18.99=200.88
200.88 divided by 0.93 (charge for each mile driven)
200.88/0.93=216
thats a lot of miles.
please please help me rn it do in few mins
Answer: 68.75
Step-by-step explanation: I did the math myself so it may not be correct, but it's at least very close.
Answer:
the correct answer is D:68.75
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Question
Which is equal to open parentheses 2 x squared minus 5 x plus 4 close parentheses minus open parentheses 4 x squared plus 3 x minus 2 close parentheses
Answer · 2 votes
(4-5+4)-(16+3-2)(-1+4)-(16+1)3-17-14
The value of the expression is [tex]-2x^2[/tex]-8x + 6.
Given expression:-
[tex](2x^2-5x+4)-(4x^2+3x-2)[/tex]
We have to find the value of the given expression.
We know that, while subtracting quadrating equations, we subtract like terms from like terms.
Like terms
Like terms are those that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only we can combine like terms.
For example : While adding (5x + 3) and (4x - 5), we will add 5x to 4x and 3 to -4 to get the answer that is 9x - 1.
Hence, we can write,
([tex]2x^2-4x^2[/tex]) + (-5x -3x) + (4 -(-2)) = [tex]-2x^2[/tex] -8x + 6.
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My mom has grounded me and I need a better grade ASAP please help
Answer:
p = 11
Step-by-step explanation:
This Question tests on the concept of Angle Properties.
Given from the diagram above, we can form up a equation:
4p + 7 + 90 + 3p + 6 = 180 (Sum of Angles in a Triangle)
Now we can solve for p from the equation.
[tex]4p + 7 + 90 + 3p + 6 = 180 \\ 7p + 103 = 180 \\ 7p = 180 - 103 \\ 7p = 77 \\ p = \frac{77}{7} = 11[/tex]
Assume that a new lithium isotope, 8Li, is identified. It is a trace isotope, meaning that it exists in a very tiny quantity. How will this discovery affect the atomic mass of lithium?
Since the isotope has only a very little amount in nature, it does not largely affect the atomic mass of lithium.
What is an isotope?The term isotope has to do with the atoms of the same element that do have the same atomic number but different mass numbers. The implication of this is that isotopes have the same number of protons but do not have the same number of neutrons.
Note that the average atomic mass of an atom is the weighted average of the atomic masses of all the isotopes of the compound. The isotopes that contribute greatly towards the atomic mass are those that have a larger percentage abundance.
Given that the new lithium isotope, 8Li identified is a trace isotope, meaning that it exists in a very tiny quantity, it does not any noticeable effect on the atomic mass of lithium.
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Identify the x-intercept and y-intercept for the equation 10x+5y=30
Considering the definition of a line, x-intercept and y-intercept, the x-intercept and y-intercept are (3, 0) and (0,6) respectively.
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.y-intercept and x-interceptThe point [y-intercept] is where the line crosses the y-axis, and occurs when x = 0.
The point [x-intercept] is that value of x for which the expression is equal to 0 and the line crosses the x-axis.
y-intercept and x-intercept in this caseIn this case, the line is 10x +5y=30. Expressed in the form y = mx + b, you get:
5y= 30 - 10x
y= (-10x + 30)÷5
y= -10/5x + 30/5
y= -2x +6
where:
m= -2b= 6The point [y-intercept] is represented by the value of the y-intercept b. So the point [y-intercept] is (0,6).
Being the point [intersection x] that value of x for which the expression is equal to 0 or y is equal to 0, in this case it is calculated as:
0= -2x + 6
-6= -2x
(-6)÷ (-2)= x
3=x
Finally, the point [x-intercept] is (3,0).
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if a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as severely rich. rich. near poor. severely poor. poor.
When a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as rich.
How to illustrate the information?The "economy food plan," which is based on the U.S. Department of Agriculture, is used as the basis for an absolute poverty indicator in the country. The World Bank also uses an absolute definition of poverty. Extreme poverty is defined as surviving on less than $1.90 USD a day.
A ratio of less than 1 generally indicates that the income is below the poverty line. When the ratio is 1, income and poverty level are equal, and when the ratio is larger than 1, income is greater than poverty level. In this case, the family is rich.
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Answer the questions in the photos for brainliest
The answers are subtraction, subtraction, and addition property of equality
There are 9 properties of equality, which are addition, subtraction, multiplication, division, distributive, substitution, reflexive, symmetric, and transitive. In this case, we are using the first 2. In algebra, whatever you do to one side has to be done to the other, in the case of the first problem x is being subtracted on both sides, which represents the definition of the subtraction property (If a = b, then a – c = b – c, a is the one side of the equation, b is the other side, and c is the subtraction done on both sides). The first one is the subtraction property of equality, then, and if we look at problem 2, the same thing is done (apart from that it is done with a number, which doesn't affect the property), so it is also the subtraction property.
Now the last problem seems to do the opposite, it seems to be adding instead, in this case, adding 1 on both sides. This follows the definition of the addition property of equality (If a = b, then a + c = b + c) since it is adding c (1) on both sides. So the last problem is the addition property of equality.
Find a relation between x and y such that the point (x, y) is equidistant from the point (2, -5) and (-2,9).
Answer:
(0,2)
Step-by-step explanation:
x = [tex]\frac{2-2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0 We are finding the average of the x values (2 and -2)
y = [tex]\frac{-5+9}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 we are finding the average of the y values (-5 and 9)
The relation between x and y such that the point (x, y) is equidistant from point(2, -5) and(-2, 9) = 2x + 7y = -14
Points (2, -5) and (-2, 9).
let (x, y) be A
Let (2, -5) = (-2, 9) = B
Ax = Bx (length)
Squaring on both sides
Ax² = Bx²
By distance formula
(x - 2)² + (y +5)² = (x + 2)² + (y - 9)²
x² - 4x + 4 + y² +10y + 25 = x² + 4x + 4 + y² - 18y + 81
8x + 28y = -56
by multiplying both sides by 4
2x + 7y = -14
This is the relationship between the points (x, y) which is equidistant to A and B.
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The graph shows the distance traveled by a bicycle rider.
She moves at a constant speed. Find the slope of the line.
EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
7, 4, 1, -2, ...
The nth term of the arithmetic sequence when the numbers given are 7, 4, 1, -2 is 6 - 3n.
What will the sequence be?It should be noted that an arithmetic sequence has a common difference. In this case, the values that are given include 7, 4, 1, -2.
First term = 7
The common difference between the numbers include:
= Second term - First term
= 4 - 7
= -3
The nth term will be:
= a + (n - 1)d
where a = 7
d = -3
= a + (n - 1)d
= 7 + (n - 1) -3
= 7 -3n - 1
= 6 - 3n
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Elizabeth plans to hand out door prize as the guests arrive. Every 6th guest will receive a mug, and every 14th year guest will receive a t-shirt. How many mugs and t-shirts should Elizabeth order?
BTW 256 ppl are going to the party, I’m not sure if this is relevant to the question or not
Using proportions, it is found that Elizabeth should order 42 mugs and 18 t-shirts.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the unit rates, then operations such as multiplication or division are used to find the equivalent amounts.
In the context of this problem, we have to consider that:
256 people are going to the party.One in six people will receive a mug.One in 14 people will receive a t-shirt.Hence the number of mugs that she has to order is found as follows:
256/6 = 42 (rounded down, as the remainder means that the last guest to receive a mug is the 252th guest).
The number of t-shirts that she has to order is given as follows:
256/14 = 18 (also rounded down, following the same logic as the number of mugs).
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Someone please help with this
a. Find the length of each side of the quadrilateral. What do you notice?
b. Find the slope of each side of the quadrilateral. What do you notice? Are any sides parallel or perpendicular?
c. Find the length of each diagonal (the segment that goes from one vertex to an opposite verter), What do you notice?
d. Find the slope of each diagonal. What do you notice?
(1. List the properties that you find, (Ex. Are all sides congruent? Perpendicular? Etc)
(a) AB, BC, CD, and DA are, respectively, and long.
(b) AB, BC, CD, and DA have slopes of 0, 0, and 2, respectively.
(c) AC and BD have lengths of 8 and 72, respectively.
(d) AC and BD have slopes of 1 and 1, respectively.
What is quadrilateral in math?A quadrilateral is a polygon having four sides, four angles, and four vertices.
There is a quadrilateral called ABCD.
The quadrilateral's vertices are A(3,5), B(7,7), C(5,3), and D. (1,1).
The side AB measures [(3-7)2 + (5-7)2] = 20.
The side BC measures [(7-5)2 + (7-3)2]. =√20 .
The side CD measures [(5-1)2 + (3-1)2] in length. = √20.
The side DA measures [(1-3)2 + (1-5)2] = 20 in length.
The diagonal AC measures [(3-5)2 + (5-3)2] = 8 in length.
The diagonal BD is [(7-1)2 + (7-1)2] in length. =√72 .
The slope of side AB is equal to 1/2 (7-5)/(7-3)
The slope of the side BC is equal to zero (7-3)/(7-3)
The side CD has a slope of (3-1)/(5-1) = 1/2.
DA's side has a slope of (5-1)/(3-1) = 2.
The sides AD and BC are parallel to one another and have the same length.
Equal in length and parallel to one another are sides AB and CD.
Each side is parallel to the side next to it.
As a result, we draw the conclusion that ABCD is a quadrilateral.
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where is y=5x on a graph ???
Answer and Explanation:
y = 5x is a line with a constant of proportionality of 5 (it goes through the origin). It goes through quadrants I and III.
See the attached image for a graph.
A local college wants to test the water quality by performing a survey. Which description describes what they should collect?
the tap water quality at one house
the tap water quality at one local store
the river water quality by collecting water in the same spot
the river water quality by collecting water in different spots
digital
RÁCTICA
suelve cada ecuación. VER EJEMPL
-4x+3x = 2
Answer:4/3-2
Step-by-step explanation:
.
We only combine like terms when the like terms are
where?
Step-by-step explanation:
We only combine like terms when the like terms are alike
To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term. Example: 7x+3x both are like terms we can combine together and write 10x.
a trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 10 m long. water is being pumped into the trough at a rate of 2 m3/min. at what rate (in m/min) does the height of the water change when the water is 4 m deep?
a trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 10 m long. then the height of the water change when the water is 4 m deep is 1/8 m/min
The depth of the water is 4/5 of the depth of the trough, so the width of the surface will be 4/5 of the width of the trough:
4/5 × 2 m = 8/5 m
Then the surface area of the water is ...
Area = LW = (10 m)(8/5 m) = 16 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
2 m³/min = (16 m²)(h')
h' = (2 m³/min)/(16m²) = 1/8 m/min
Hence , the height of the water change when the water is 4 m deep is 1/8 m/min
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HELP PLS I NEED THIS TODAY
What are the similarities and differences between number 1 and 3?
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
Answer:
1 and 3Similarity: Both are odd numbers
differences: 3 > 1
3 and 4Similarity: Both are Consecutive natural numbers
differences: 3 is an odd number and 4 is an even number
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PLEASE HELP ILL GIVE BRAINLIEST ITS TIMED
The value of x is 18 and the value of ∠A (interior angle) is 73°.
According to the given figure,
We have:
∠A = 6x-35°
∠B = 3x+53°
The two parallel lines have been cut by another line.
(Note that when a line divides two parallel lines then the sum of the interior angles on the same side is 180° and the alternate interior angles are equal to each other.)
So, we will have the following expression:
∠A + ∠B = 180°
(6x-35+3x+53)° = 180°
9x+18 = 180
9x = 180-18
9x = 162
x = 162/9
x = 18
Now, putting the value of x in ∠A,
∠A = 6x-35°
∠A = (6*18-35)°
∠A = (108-35)°
∠A = 73°
Hence, the value of x is 18 and the measurement of ∠A is 73°.
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Elizabeth brought a box of donuts share there are two dozen donuts in the box all identical in size shape and color two are jelly filled seven are lemon filled and 15 are custard fill you randomly select one donut eat it and select another doughnut. find the probability of selecting two lemon filled donuts in a row
The probability of selecting two lemon filled donuts in a row is 7/92.
What is the probability?
Probability is used to determine the odds that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. If it is certain that the event would happen, the probability value would be 1. If it is certain that the event would not happen, the probability value is 0.
The donuts are picked without replacement because the donut are eaten as they are picked.
Probability = (number of lemon filled donuts / total number of donuts) x [(number of lemon filled donuts / total number of donuts) - 1]
(7/24) x (6/23) = 7/92
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What mental math method will give you the correct answer to 136 + 98?
So basically 130+90=220 and 6+8=14. And 220+14=234.
←
Write a quadratic equation in standard form that has two solutions, 1 and =
10.
0
(Simplify your answer. Type an expression using x as the variable.)
With the two solutions, the quadratic equation is x^2 - 11x + 10 = 0
How to determine the quadratic equation in standard form?From the question, we have:
Number of solutions = 2
Variable = x
Where the solutions are
1 and 10
This means that
x = 1 and x = 10
Rewrite the above solutions as
x - 1 = 0 and x - 10 = 0
Multiply the above equations
(x - 1) * (x - 10) = 0
This gives
x^2 - 11x + 10 = 0
Hence, the quadratic equation in standard form is x^2 - 11x + 10 = 0
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step by step explanation long divison 9 divided by 1557
Answer:
Step-by-step explanation:
9 divided by 1557
(Tell me if you mean 1557 divided by 9 lol the wording is strange :] )
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estimate 18.50x2.6
[please help it is a past due asigment
Answer:
11.1x²
Step-by-step explanation:
1 and 2 form a linear pair the m<2 is six more then twice the m<1 finf m<2
Answer:
m<2= 2x+6
Step-by-step explanation:
so you have +6 or six more than 2x or twice than m<1 so therefore m<2= 2x+6