The number of ways we can select 3 cracked and 2 good is 1200 ways.
Given there are 5 eggs in which 3 eggs are cracked and 2 eggs which are good.
We have to find the number of ways we can select 3 cracked and 2 good eggs from 5 eggs.
Number of ways can be found through permutations.
The factorial of n equals the product of n with the smaller factorial..
Permutations is the technique of calculating various ways in which objects from a set may be selected, generally without replacement, to form subsets.
n[tex]P_{r}[/tex]=n!/(n-r)!
So the number of ways will be 5[tex]P_{3}[/tex]*5[tex]P_{2}[/tex]
([tex]5P_{3}[/tex] for cracked eggs and [tex]5C_{2}[/tex] for good eggs)
=5!/(5-3)!*51/(5-2)!
=5*4*3*2!/2!*5*4*3!/3!
=5*4*3*5*4
=1200
Hence there are 1200 ways through which 3 cracked and 2 good eggs can be selected from 5 eggs.
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In order to avoid double counting, statisticians just count the __________________.
In order to avoid double counting, statisticians just count the final goods and services.
According to the statement
we have to find the procedure which is used by statisticians to avoid the double counting.
final goods and services are the type of way which is used to avoid the double counting.
In other words, statisticians count only the final results rather than the efforts.
So, In order to avoid double counting, statisticians just count the final goods and services.
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What are the coordinates of the midpoint of the segment whose endpoints are C(−7, −10) and D(3, 9) ?
(−2, −0.5)
(−4, −1)
(−5, −9.5)
(−8.5, 3)
Answer:
(-2, -0.5)
Step-by-step explanation:
1. add the x-coordinates and then either divide by 2 or multiply by 1/2
2. add the y-coordinates and then either divide by 2 or multiply by 1/2
(-7+3)/2 = -2
(-10+9)/2 = -0.5
Have a blessed day!
Write two expressions that have a solution of x = 4.
ASAP!! Ty
Answer:
X multiplied by 2 is 8
X divided by 2 is 4
Step-by-step explanation:
This is the quickest thing i can give you
What are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards
The possible length of the third hallway is between 30 yards and 150 yards.
How to find the third length of a triangle?The hallway forms a triangle .
Therefore, using triangle inequality theorem, It states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Hence,
90 + 60 > x
Where
x is the third side
x + 60 > 90
x + 90 > 60
Therefore, the possible length of the third hallway is between 30 yards and 150 yards.
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Answer:
D: between 30 yards and 150 yards
Ilean works as a welder and web designer. As a welder, she earns $18 per hour. Last week she worked 푥 hours as a welder and her friend paid her $75 to design a web page. Write an expression to represent the total amount Ilean earned last week.
The expression that represent the total amount Ilean earned last week is 27(18) + 75
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total amount Ilean earned last week for working x hours.
Since she worked for 27 hours and earned $75 to design a web page. Hence:
y = 27(18) + 75
The expression that represent the total amount Ilean earned last week is 27(18) + 75
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Which expression is equivalent to 21/15 - 915?
A. 12
B. 30 15
c. 125
D. 12 15
[tex]\textbf{Heya !}[/tex]
the denominators are equal, so subtracting these two fractions is a piece of cake:-
[tex]\sf{\cfrac{21}{15}-\cfrac{9}{15}}[/tex]
[tex]\sf{\cfrac{21-9}{15}}[/tex]
[tex]\sf{\cfrac{12}{15}}[/tex]
`hope it's helpful to u ~
GOOD AFTERNOON BRAINLIESTS! Please help me with this question! TYSM!
- xXIndieKidXx
Answer:
Domain: All real numbers ; Range: y> -3
Step-by-step explanation:
solve this two questions with explaining method also....
Answer:
6) Selling price = ₹ 1608
Labelled price = ₹ 2010
7) Profit percentage = 10.5%
Step-by-step explanation:
Finding the selling price:
6) Cost Price = ₹ 1200
[tex]\sf Profit = 33\dfrac{1}{3} \% * Cost\ price\\\\[/tex]
[tex]\sf = \dfrac{102}{300}*1200\\\\ = 102 * 4\\\\[/tex]
= ₹ 408
Selling price = Cost price + Profit
= 1200 + 408
= ₹ 1608
Let the labelled price = x
Discount % = 20%
(100-20)% of x = 1200 + 408
80% of x = 1608
[tex]\sf x = 1608*\dfrac{100}{80}\\\\[/tex]
x = ₹ 2010
Answer: Selling price = ₹ 1608
Labelled price = ₹ 2010
7) Let the Cost price = ₹ X
Marked price = (100 + 30)% of Cost price
[tex]\sf = \dfrac{130}{100}X\\\\ = 1.3 X[/tex]
Discount% = 15%
Selling price = (100 - 15)% of 1.3X
= 85% * 1.3X
= 0.85 * 1.3X
= 1.105X
[tex]\sf \boxed{\bf Profit \% =\dfrac{Selling \ price - Cost \ Price}{Cost \ price }*100}[/tex]
[tex]\sf = \dfrac{1.105X - X}{X}*100\\\\ = \dfrac{0.105X}{X}*100\\\\ = 0.105*100\\\\ = 10.5 \%[/tex]
PLS HELP ITS DUE IN 9 MIN AND IM CONFUSED AND I DON’T WHAT TO DO ANSWER ASAP ILL GIVE BRAINIESTTTTT
A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing either stocks or bonds from portfolio C?
Considering the given tree diagram, there is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
At each node, the sum of the probabilities is of 1, hence:
0.2 + 0.3 + Z = 1.
Z = 0.5.
There is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.
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The graph of the function f(x) = (x +2)(x + 6) is shown below.
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).
What is true about the domain and range of the function?
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the r
Answer: The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
Step-by-step explanation:
The domain is the set of inputs, and the range is the set of outputs.
Answer: Option A
Step-by-step explanation
The domain is the set of allowed x inputs of a function.
We can replace x with any number we want to get some output for y = f(x)
This tells us the domain is the set of all real numbers.
-----------
The range is the set of numbers y such that
In other words, we can have y = -4 or y > -4
This is because y = -4 is the lowest output possible, as indicated by the vertex point.
Felix’s total credit card balance is described by the following function: f(p) = p(1.30). If Felix owes $2500, what is the total bill plus interest?
$3,250
$32,500
$325
None of the choices are correct.
The total bill plus interest on the credit card is $3,250
What is credit card?
Credit card gives its holder the opportunity to make purchases on credit such that amount spent and the interest that accrues thereon would be paid by the credit card holder at a future time.
In this case, the function shows the relationship between the amount owed and the interest so as to give the outstanding balance.
f(p) = p(1.30)
p=amount owed=$2,500
f(p)=$2,500*(1.30)
f(p)=$3,250
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Given startlayout enlarged left-brace first-row startfraction x cubed minus 1 over x squared minus 1 endfraction, for x less-than 1 second row startfraction 3 over x minus 1 endfraction, for x greater-than-or-equal-to 1 endlayout. what is limit of f (x) as x approaches 1 minus? negative three-halves 0 three-halves dne
The limit of f(x) as it approaches -1 is given as 3/2
What is limit in mathematics?In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value
The unit is used to assign values to numbers at certain points where there are no defined values.
How to solve the limitwe have 3/x-1
We have to take the value of x here to be three as the equation tends to 1.
Then we apply it in the formula
3/3-1
= 3/2
Hence the limit of f(x) is given as 3/2
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A designer is hanging a mirror that is 101 centimeters (cm) wide in a room.
The center of the wall is 190 cm from the right end of the wall. If the designer
hangs the mirror so that the center of the poster is located at the center of the wall,
how far will the left and right edges of the poster be from the right end of the wall?
Answer:
240.5 cm and 139.5 cm, respectively
Step-by-step explanation:
101 cm / 2 = 50.5 cm
The right edge of the mirror is 50.5 cm to the right of the center line.
The right end of the wall is 190 cm from the center line.
190 cm - 50.5 cm = 139.5 cm
139.5 cm + 101 cm = 240.5 cm
240.5 cm and 139.5 cm, respectively
Find the missing segment in the image below.
HELP ASAP PLS
Select the correct answer from each drop-down menu.
Quadratic function f is shown on the graph.
I don't know what the options are in the drop-down menu but the function f is symmetric around the point (4,–1) which is called the axis of symmetry. (4,–1) is the minimum of the graph.
work out the area of a rectangle with base, b = 20mm and perimeter, p = 50mm.
Answer:
100
Step-by-step explanation:
If the base is 20, then 2 of the sides must have a length of 20. This means that the TOTAL length of the remaining sides is 10. (20*2) + (10) = 50. If we divide that in half, we get 5. That is the side length of the remaining 2 sides. This means that 20 * 5 will give us the area (b*h).
Given,
base, b = 20mm &
perimeter, p = 50mm.
the area of the rectangle : (50 – 20 × 2) ÷ 2 = 5. 5 × 20 = 100 [tex]mm^{2}[/tex].
Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.
The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.
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Most Swiss starlings produce four to five eggs in each clutch. Starlings producing fewer or more than this have reduced fitness. Which of the following terms best describes this situation
The term that describes the situation is called: stabilizing selection.
What is Stabilizing Selection?Unlike disruptive selection (diversifying selection) that tends to favor extreme traits when changes occur, stabilizing selection is defined as changes in population genetics in which extreme traits are not favored, rather, traits that are of intermediate variants are most favored and selected for.
Stabilizing selection can simply be described as the exact opposite of disruptive selection.
In the scenario given, traits of producing fewer starlings or more are extreme traits that are not favored and have reduced fitness. Intermediate variants of producing moderate number of starlings that have high fitness demonstrates the type of selection that is referred by the term called: stabilizing selection.
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The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the _____. Group of answer choices population parameter point estimate population mean standard error
The population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
According to the question,
The population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
The sample proportion p, is a point estimate of the population proportion.
Hence, the correct answer is point estimate. Thus, the population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
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Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Comparing numerators, 8 is less than 12, so the ratio 4:10 is smaller. Which did you include in your answer? Check all that apply. Write the ratios as fractions. Find a common denominator. Compare the numerators to see that 4:10 is the smaller ratio
In the case above, the option that one need to include in your answer is to Find a common denominator.
What is Fraction in lowest terms?When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.
Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.
Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.
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True or false: f(x) is a function.
A. True
Step by step explanation:
1. if we where given a graph and told to determine whether it's a function or not, we would have used a VERTICAL LINE TEST.
2. In this case we have points, and for every x value we have one corresponding y value which makes it a function that is a ONE-TO- ONE FUNCTION
Describe the following expressions in words: x+4
---------------------
Answer:-----------
Step-by-step explanation:------------------
Answer:
???????
Step-by-step explanation:
Please tell the question so i can answer it
Instructions: Find the circumference of the circle and round to the nearest tenth. 4 yrds
The circumference of the circle and round to the nearest tenth is 25.1 yds
Circumference of a circleThe formula for calculating the circumference of a circle is expressed as:
C = 2πr
Given the following
radius r = 4yds
Substitute
C = 2(3.14)(4)
C = 25.12 yds
Hence the circumference of the circle and round to the nearest tenth is 25.1 yds
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Javid travels to work by bus or by train.
The daily bus fare is £2.50
The daily train fare is £3.50
In 5 days he spends a total of £14.50
On how many days did he travel by bus?
Javid travelled by bus for 3 days using a simultaneous equation
What is simultaneous equation?
This refers to equations that are solved together in order to determine the values of unknown variables.
In this case, the total amount spent on daily bus or train can be determined as the fare price multiplied by the number of days
Let X be the number of days that Javid took bus
total spent on bus=2.50X
Let Y be the number of days that Javid took train
total spent on train=3.50Y
Total spent=2.50X+3.50Y
14.50=2.50X+3.50Y
Secondly, X plus Y gives 5 days
5=X+Y
multiply the second equation by 2.50 and the first by 1
14.50=2.50X+3.50Y
12.50=2.50X+2.50Y
subtract the second equation from first
2=Y
substitute for Y
5=X+Y
5=X+2
X=5-2
X=3
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The number of days that he travelled by bus is; 3 days
How to Solve Simultaneous Equations?Let x be the number of days that Javid travelled by bus.
Let y be the number of days that Javid travelled by train.
Thus;
Total spent on bus = 2.50x
Total spent on train = 3.50y
Overall total spent is;
2.5x + 3.5y = 14.50 -----(1)
Total number of days is 5 days and so;
x + y = 5 -----(2)
Making x the subject in eq 2 gives us;
x = 5 - y -----(3)
Put eq 3 in eq 1 to get;
2.5(5 - y) + 3.5y = 14.50
12.5 - 2.5y + 3.5y = 14.5
y = 14.5 - 12.5
y = 2 days
Thus;
x = 5 - 2
x = 3 days
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Triangle \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime is the image of \triangle ABC△ABCtriangle, A, B, C under a rotation about the origin, (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.
From the information given, the rotated triangle is same as the original triangle. This is because, vertices of the rotation remain at the origin - (0,0).
What is the proof the above?Notice that the question states: △A'B'C' is the image of △ABC. Given that the △ without primes is the original and the one with primes depict the rotated triangle,
under a rotation about the origin, (0,0) (0,0) (0, 0), indicating no movement,
△A'B'C' is in the same position with △ABC.
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Answer: D: 60 degrees
Step-by-step explanation:
khan
A tank of water contains 35 liters of water that leaks 6 liters of water an hour another container contains 29 liters of water that leaks 3 an hour if no the the tank and container start leaking at the same time how long does it takes for both the tank and container to have the same amount of water
Answer:
Step-by-step explanation:
Let the # of liters in both containers = y when equality is reached.
Container 1: loses 6 liters / hour
Container 2: loses 3 liters / hour
Equation
35 - 6x = 29 - 3x
Solution
35 - 6x = 29 - 3x Subtract 29 from both sides
35 - 29 - 6x = 29 - 29 - 3x Combine
6 - 6x = - 3x Add 6x to both sides
6 - 6x + 6x = - 3x + 6x Combine
6 = 3x Divide both sides by 3
6/3 = 3x/3
2 = x
After 2 hours they should have the same amount of water.
35 - 6(2) = 35 - 12 = 23
29 - 3*2 = 29 - 6 = 23
Answer
After 2 hours have passed, both containers should have 23 Liters each.
If a client is exercising for 150 minutes per week (30 minutes, 5 days per week), then a 10% increase in volume would result in how many minutes total per week
It takes 165 minutes per week if 10% increase in volume for an exercising client.
How much is the 10% increase in the volume?A client is exercising for 150 minutes per week. I.e., 30 minutes, 5 days per week.
So, 10% increase results,
30 minutes × 10% = 3
So, the increased minutes per day = 30 + 3 = 33 minutes/day.
How many minutes total per week results if a 10% increase in the volume?After the 10% increase, the minutes per day = 33 minutes
Since 5 days a week, he does exercise, the total minutes per week
= 33 × 5 = 165 minutes.
So, a 10% increase in volume would result in 165 minutes total per week.
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HURRY PLS ANSWER NOW!!
What is the area of the trapezoid?
33 in2
52.5 in2
82.5 in2
91 in2
Answer:
91 in2
Step-by-step explanation:
11+15 over 2 , times by 7 equals 91 ??
i need help with question 2
Answer:
Please see the answer below.
Step-by-step explanation:
PLEASE HELP ASAP
List these numbers from SMALLEST TO LARGEST
29.94
28.15
27.068
28.08
28.3
Answer:
Step-by-step explanation:
27.068
28.08
28.15
29.94