The hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the defective sets.
Define the term combination?Combinations are mathematical operations that count the total number of possible configurations for a set of elements is when order of said selection is irrelevant.As per the stated question.
You can select five television from a possible twelve in the sample space.
To acquire at least 2 faulty, therefore:
¹²C₅ = 12!/(7!)(5!) =12*11*10*9*8/(5*4*3*2*1)
¹²C₅ = 11*9*8
Obtaining two or three defective items. (At least 2).
2 defective items are-
(³C₂)(⁹C₄) = 3*9*8*7*6/(4!)
(³C₂)(⁹C₄) =9*7 =63
Three defective items equal -
(³C₃)(⁸C₂) = 1*8*7/2!
(³C₃)(⁸C₂) = 56
Total defective items is 63+56= 119 ways.
Probability = 119/(11*9*8)
Probability = 119/792
Thus, a hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the flawed sets.
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Need Help With Explaining and ASAP please! And check if I’m correct!
Answer:
yhj
Step-by-step explanation:
all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7
The circumference of a circle is 19π cm. What is the area, in square centimeters? Express your answer in terms of
When the circumference of a circle is 19π cm the area of the circle is
28.27 square centimeters
How to calculate the area of a circle ?Information given in the question include
The circumference of a circle is 19π cm
Area of a circle is given by
π r^2
where r = radius
π = constant = 3.124
circumference of a circle is given by 2πr
2πr = 19
πr = 9.5
r = 3.024
r = 3 cm
The area is solved as
= π * 3^2
= 28 .27square centimeters
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Work out 3^8 =9root3
Im not sure how to do this, could one of you give me the answer on how to do this?
Answer:
2x+4=52
2x+19=67
2x+13=61
(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)
x=24
Step-by-step explanation:
the sum of all three angles is equal to 180 degrees
So we can add all of these angles and set it equal to 180 like this
(2x+19)+(2x+4)+(2x+13)=180
Simplify by adding common terms
6x+36=180
-36. -36
6x=144
/6. /6
x=24
So now to find the angles we just fill in x with 24
2(24)+4
48+4
52
2(24)+19
48+19
67
2(24)+13
48+13
61
Hopes this helps please mark brainliest
Solve the equation: 4 - 2y + 3 = - 9. What is y equal to?
Answer:
b
Step-by-step explanation:
In the given equation 4 - 2y + 3 = - 9, y is equal to 8.
The equation is a statement in which the values of two mathematical expressions are equal (indicated by the sign =).
To find the value of y from the given equation
∴ 4 - 2y + 3 = - 9
=> 4+3 -2y = -9
=> 7 - 2y = -9
=> 7 + 9 = 2y
=> 16 = 2y
=> 16/2 = y
=> 8 = y
=> y = 8
So, the value of y in the above equation 4 - 2y + 3 = -9 is 8.
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find the distance between the points (-16,11) and (16,4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-16}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~16 - (-16)~~)^2 + (~~4 - 11~~)^2} \implies d=\sqrt{(16 +16)^2 + (4 -11)^2} \\\\\\ d=\sqrt{( 32 )^2 + ( -7 )^2} \implies d=\sqrt{ 1024 + 49 } \implies d=\sqrt{ 1073 }\implies d\approx 32.76[/tex]
[tex]\frac{2}{5} a^{\frac{2}{2} } + C[/tex]
By simplifying 2/5 + [tex]a^{2/2}[/tex] C we get the solution as (2a + 5C) / 5.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.Start by resolving all of the terms enclosed in parenthesis to simplify mathematical equations using the order of operations. The exponents should then be solved, followed by any necessary multiplication. Division problems are next, followed by adding and subtracting to wrap things out.Given equation ,
2/5 + [tex]a^{2/2}[/tex] C
We know that , [tex]a^{2/2}[/tex] = a
So the equation becomes ,
2/5 a + C
By simplifying,
2a / 5 + C
= 2a / 5 + 5C / 5
By combining fractions ,
(2a + 5C) / 5
Thus solution is (2a + 5C) / 5 .
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light bulbs are packed in boxes of 10. inspectors randomly select 3 of the 10 light bulbs. the box contains exactly 4 defective light bulbs. using a hypergeometric probability distribution, find the following to four decimals. a defective bulb is considered a success. what is the probability that exactly four of the selected is defective? enter the answer as a number to one decimal.
The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.
Define the hypergeometric probability distribution?When sampling from such a low population without replacement, the hypergeometric distribution represents a discrete probability distribution which determines the likelihood that an event occurs k times in n trials. In terms of the aspect of sampling without replacement, this distribution is equal to the binomial distribution.For the given question;
Total bulbs = 10Defective bulbs = 4Selected bulbs = 3Thus, the probability that exactly four of the selected is defective.
P = ⁴C₄ / ¹⁰C₃
P = 1/120
Thus, the probability that exactly four of the selected is defective is 1/120.
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Write an equation for the line parallel to the given line that contains the given point.
Line: 8y=6x+5 Point: (-8,-10)
Please answer quick!!
The linear equation parallel to 8y=6x+5 is:
y = (3/4)*x - 4
How to find the equation of the parallel line?Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.
Here we want to find a line parallel to:
8y = 6x + 5
Rewriting this in slope-intercept form we get:
y = (6x + 5)/8
y = (3/4)*x + 5/8
Then a parallel line to this one will be:
y = (3/4)*x + b
To find the value of b, we use the fact that this line must pass through the point (-8, -10).
-10 = (3/4)*(-8) + b
-10 = -6 + b
-10 + 6 = b
-4 = b
Then the linear equation is:
y = (3/4)*x - 4
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Find the nth term : 6, 12, 22, 36…
The nth term of the given sequence is 6n
The given sequence is 6, 12, 22, 36,....
The formula to find the nth term is
T(n) = a + (n-1)d ... (1)
Where n is the number of terms
a is first term
d is common difference
Here
n = n. a = 6,
d = 12 - 6 = 6
Substitute the values in equation (1)
T(n) = 6 + (n-1)6
⇒ T(n) = 6 + 6n - 6
⇒ T(n) = 6n
Hence the nth term of the given sequence is 6n
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Write down the two district properties between parellelograml and trapezium
You can see pic..
What is the area of the shaded portion of the parallelogram? Dimensions are in centimeters.
The area of the shaded portion of the parallelogram is 35.43 centimeter square
The base of the parallelogram = 8 centimeter
The height of the parallelogram = 6 centimeter
The area of the parallelogram = Base × Height
= 8 × 6
= 48 centimeter square
The radius of the circle = 2 centimeter
The area of the circle = π × [tex]r^2[/tex]
= π × [tex]2^2[/tex]
= 12.57 centimeter square
The area of the shaded region = The area of the parallelogram - The area of the circle
Substitute the values in the equation
= 48 - 12.57
= 35.43 centimeter square
Hence, the area of the shaded portion of the parallelogram is 35.43 centimeter square
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the school has $925 to spend on new books for the libray .each book costs $9.95. estimate how many books can be bought
The number of books bought by the school is 92.
Here it is given that the school spend $925 to buy new books for the library.
The cost of each book is $9.95
So we have to find the number of books that can be bought.
By dividing the total money spent by the cost of each book we get the number of books bought.
Let n be the number of books bought.
n × 9.95 = Total money spend on the books
As we know the total money spend on the books is $925.
So we get:
925 = n × 9.95
n = 925/ 9.95
= 92
Therefore the total number of books bought is 92.
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Tell whether the sequence is arithmetic. If it is, identify the common difference.
0, 7, 14, 21, ...
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The sequence is arithmetic and has a common difference of [_]
OmB. The sequence is not arithmetic.
Answer:
A
Step-by-step explanation:
the arithmetic sequence is the one in which the difference between the one and the next term is a constant.
0,7,14,21,28,35,42...
this is an arithmetic sequence with a common difference of [7]
a professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. the professor has informed us that 8.75 percent of her students received grades of a. what is the minimum score needed to receive a grade of a?
The minimum score needed to receive a grade of 'a' is 87.92
Given that,
At a nearby university, a professor noticed that her students' exam results were regularly distributed, with a mean of 73 and a standard deviation of 11. 8.75 percent of the professor's students achieved grades of A, she told us.
Mean = μ = 73
Standard deviation = σ = 11
Using the standard normal table,
⇒ P(Z > z) = 8.75%
⇒ 1 - P(Z < z) = 8.75%
= 1 - P(Z < z) = 0.0875
= P(Z < -1.36) =1- 0.0875
= P(Z < 1.3563) =0.9125
∴ Z = 1.3563 ( Using standard normal z-table )
Using z-score formula ;
x= z * σ + μ
x=1.3563 * 11 + 73
x=87.92
So, the minimum score needed to receive a grade of 'a' is 87.92
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Preston goes to the movies with $15 in his wallet. He buys
a ticket for $6.50 and two snacks for $1.75 each. How
much money does he have left?
Select the correct expression.
OA. 15-6.5-1.75
OB. 15-(6.5+ 2.1.75)
O C. 15-2(6.5+ 1.75)
OD. 15-6.5+2.1.75
Preston left with $5 and correct expression for to find solution is option(B) i.e, 15 - (6.5 + 2 * 1.75)
What is an Algebraic Expression?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression. For example, 3x² − 2xy + c is an algebraic expression.
Given,
Total money Preston have = $15
He buys the ticket for = $6.50
And, two snacks = $1.75 each
so the cost of two snacks is = 1.75 * 2 = $3.5
Total cost for ticket and snacks = $3.5 + $6.50 = $10
Now, he spent money on snacks and ticket $10 and he have total money $15 so,
Preston left with = $15 - $10
= $5
Therefore, Preston left with $5 and correct expression for to find solution is option(B) i.e, 15 - (6.5 + 2 * 1.75)
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a certain car travels at a constant speed of 40 miles per hour. how far does the car travel in 45 minutes
The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.
Here,
45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)
time x speed = distance
.75 hours time x 40 mph speed = 30 miles distance
With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.
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If you add a prime number to itself, is the sum composite or prime?
Answer: The sum of two prime numbers is always even (which is composite).
Hope this helped :)
Find an equation for the perpendicular bisector of the line segment whose
endpoints are (6, -5) and (-2, -9)
The perpendicular bisector of the line segment with endpoints (6, -5) and (-2, -9) is 7x,2y = 6.
What is standard form equation?Ax+By=C is the standard form for linear equations in two variables. 2x+3y=5, for example, is a standard linear equation. It is relatively simple to find both intercepts when an equation is given in this form (x and y).In mathematics, a number is written in standard form. The simplest form of decimal numbers is standard form, which can be easily read and written. The standard form of the decimal number 0.007, for example, is 7 10-3. It can be difficult to read or write very large or very small numbers at times. As a result, we write them in standard form.The standard form of numbers (also known as "scientific notation") has different meanings depending on where you are in the world.Therefore,
The coordinates of the end points:
(6, -5) and (-2, -9)
((6, -5) +(-2, -9))/2
= ((6,-9)/2, (-2, -5)/2)
= (1.5, 3.5)
The difference in endpoint coordinates will be;
(Δx, Δy) = (9-(-5), (-2)-6) = (14, 8)
Then the ratio of these values, so we need to divide both by the common factor of 2:
(Δx, Δy) = (7, 2)
A line perpendicular to this segment through the point (h, k) can be written as;
Δx·x +Δy·y = Δx·h +Δy·k
7x ,2y = 7(2) 2(4)
7x, 2y = 6 .
Hence the standard form equation for the perpendicular bisector will be; 7x ,2y = 6 .
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Point A is graphed on the coordinate plane. What ordered pair represents point A?
Answer:
-7,7
Step-by-step explanation:
nevaeh and michael are helping their friend nabhitha move. if nevaeh can move 6 boxes for every 24 boxes that michael moves, then how many boxes can michael move for every box that nevaeh moves? what is the enter
Answer:
Step-by-step explanation: I think it could be 5,0000
7×25
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
175
how will convert it in mixes fraction when there is no division number
how to write as one fraction 7/2a+4/a*a
The fraction 7/2a+4/a*a can be written as (7 + 8a) / 2a
What is a fraction?
In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many pieces of a particular size there are in spoken common English. In other words, a fraction indicates the components of a whole or group of items.
Solution Explained:
First, we simplify the equation
= [tex]\frac{7}{2a} + \frac{4}{a} X a[/tex]
= [tex]\frac{7}{2a} + 4[/tex]
= [tex]\frac{7 + 8a}{2a}[/tex]
Therefore, the equation can be written as (7 + 8a) / 2a
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Help pls ASAP i am Limited on tile and I need someone to do this I need to do other assignments too
Answer:
78
Step-by-step explanation:
x + 12 = 90
x = 78
in how many ways can a community. of five be selected from eight students if two particular students are to be included.
To select the community, there are 20 ways available.
What is Combination?
A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant.
Solution:
Since 2 particular students are to be included,
we have to arrange 3 students from 6 students.
nCr = n! / (n-r)!*r!
6C2 = 6!/ (6-3)! 3!
6C2 = 6*5*4*3!/ 3! * 3*2
6C2 = 5*4 = 20
Thereofre, there exists 20 ways of doing the above mentioned.
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A 12 pack of sodas is priced at $5.40 and a 16 pack of sodas is priced at $6.72. Which is a better buy?
Answer:
Step-by-step explanation:
5.40/12= 0.45
6.72/16=0.42
Answer:
The 16 pack
Step-by-step explanation:
Pack 1: $5.40 for 12
Find the price per soda by dividing the price by 12: $5.40 / 12 = $0.45 per canPack 2: $6.72 for 16
Find the price per soda by dividing the price by 16: $6.72 / 16 = $0.42Therefore the 16 pack is the better buy because you purchase an extra 4 sodas for $0.03 less.
Kermit and Miss Piggy are a part of a close group of 10 Muppets. Four of the Muppets are randomly selected to
do press for their next movie. What is the probability Miss Piggy will do press but Kermit will not?
A.4/15
B.1/15
C.1/24
D.None of the above
Answer:
d
Step-by-step explanation:
Because answer would be 4/10 or 5/10
PLEASE HELPPP!!!! DESPERATEEEEEEE
Pablo has a goal to lose 25lb. He has lost 16lb. What percent of his goal has been reached
A writer earns $3400 a month. Last month she spent 204 on food. what percent of her income was spent on food
Jane is counting the cars going by her house. There are 3 blue cars, 12 white cars, and 1 red car. What is the ratio of white cars to blue cars?
Answer:
4:1
Step-by-step explanation:
12÷3=4
3÷3=1
white to blue
12 : 1
Write inequalities to represent the situations below.
Ann exercises no less than 40 minutes per day.
Use t to represent Ann's amount of exercise (in minutes per day).
The inequalities to represent the Ann situation is t > 40.
How to model a situation with inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, an expression with an inequalities have the signs <, >, ≤ and ≥.
Let's represent the situation with an inequalities.
Therefore, Ann exercises no less than 40 minutes per day.
let
t = Ann's amount of exercise (in minutes per day).
The inequalities to represent the situation is as follows:
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