can you help me with this, this is not for a test or quiz, i accept brainlys community guidelines.
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The depth od the underwater camerais proportional to the time, this means that the depth varies the same amount of meters for every unit of time (second) that passes.
Let "y" represent the depth and "x" represent the time, you can express the relationship between both variables as
[tex]y=kx[/tex]Where k is the coefficient fo variation, ie. is the amount of meters the depth veries for every second that passes by.
Using the paired values (100, -5) we can calculate the coefficient of variation as
[tex]\begin{gathered} k=\frac{y}{x} \\ k=-\frac{5}{100} \\ k=-0.05 \end{gathered}[/tex]This means that fo every passing second the depth increases -0.05, we can establis the relationship as:
[tex]y=-0.05x[/tex]Now using this expression we can calculate the missing values of time and depth
For depth y= -1m
[tex]\begin{gathered} -1=-0.05x \\ x=-\frac{1}{-0.05} \\ x=20s \end{gathered}[/tex]For time x=60s
[tex]\begin{gathered} y=-0.05\cdot60 \\ y=-3m \end{gathered}[/tex]For time x=240s
[tex]\begin{gathered} y=-0.05\cdot240 \\ y=-12m \end{gathered}[/tex]Related Questions
Refer to the diagram to the right.(a)Write an equation for the diagram to the right.b. Find the sum.C. Describe the sum in terms of the distance from the first addend. Explain.d. What integers do the arrows represent?
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(a)An equation for the diagram is:
[tex]-5+(-4)=-9[/tex](b)The sum is -9.
(c)The sum (-9) is 4 units away from the first addend (that is, -5).
(d)The arrows represent the integers -5 and -9.
area and percent the answer are divide in to a) b) and c)
Answers
Explanation:
To find the area of the amount of waste, we need to calculate the area of the rectangle and the area of both circles.
So, the area of the rectangle is:
[tex]\text{Area}_R=\text{Base}\cdot\text{Height }=24\cdot12=288in^2[/tex]And the area of every circle is:
[tex]\text{Area}_c=\pi\cdot r^2=\pi\cdot6^2=113.097[/tex]So, the amou
Evaluate.
(a − 2b)^3 when a = −2 and b = −1/2
Answers
Answer:
the answer is 1
Step-by-step explanation:
(a-2b)^3
(-2-2*-1/2)^3
(-2+1)^3
(-1)^3
=1
(2x² + 7x - 15) + (x + 5)
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We are given the below expression
[tex]\begin{gathered} (4x^2\text{ + x + 1) + (x - 2)} \\ \text{First, open the parentheses} \\ 4x^2\text{ + x + 1 + x - 2} \\ \text{Collect the like terms} \\ 4x^2\text{ + x + x + 1 - 2} \\ 4x^2\text{ + 2x - 1} \end{gathered}[/tex]From the quadratic function generated, we will be solving for x using the general formula
[tex]\begin{gathered} ax^2\text{ + bx + c = 0} \\ 4x^2\text{ + 2x - 1= 0} \\ \text{let a = 4, b= 2 and c = -1} \\ \text{The general quadratic formula is written as} \\ x\text{ = -b }\pm\text{ }\frac{\sqrt[]{b^2\text{ - 4ac}}}{2a} \\ \text{Substitute the above values into the formula} \\ x\text{ = -(2) }\pm\text{ }\frac{\sqrt[]{2^2\text{ - 4 x 4(-1)}}}{2\text{ x 4}} \\ x\text{ = -2 }\pm\text{ }\frac{\sqrt[]{4\text{ -4(-4)}}}{2\text{ x 4}} \\ x\text{ = -2 }\pm\text{ }\frac{\sqrt[]{4\text{ + 16}}}{8} \\ x\text{ = -2 }\pm\text{ }\frac{\sqrt[]{20}}{8} \\ \sqrt[]{20}\text{ = }\sqrt[]{4}\text{ x }\sqrt[]{5} \\ \sqrt[]{20\text{ }}\text{ = 2}\sqrt[]{5} \\ \text{Hence,} \\ x\text{ = -2 + }\frac{2\sqrt[]{5}}{8}\text{ OR -2 - }\frac{2\sqrt[]{5}}{8} \\ x\text{ = 0.3090 or x = -0.8075} \end{gathered}[/tex]How do you calculate the sum of the first k terms of a geometric sequence with common ratio b?
Answers
[tex]S_{k} =\frac{a(1-b^{k}) }{1-b^{k}}[/tex] is the formula to find sum of the first k terms of a geometric sequence with common ratio b.
What is Sequence?A sequence is defined as an arrangement of numbers in a particular order.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The sum of first k terms of a geometric sequence with common ratio b is given by the formula.
[tex]S_{k} =\frac{a(1-b^{k}) }{1-b^{k}}[/tex]
where b≠0
Where k is number of terms
b is the common ratio and a is the first term.
Hence [tex]S_{k} =\frac{a(1-b^{k}) }{1-b^{k}}[/tex] is the formula to find sum of the first k terms of a geometric sequence with common ratio b.
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Emma younger brother and sister went on a carnival ride that has two separate circular track ana's brother rode in a blue car that traveled a total distance of 220 around the track and a sister Road in a green car that travels to total distance of 126 feet around the track and drew of the ride
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1. The distances of 220 feet and 126 feet are the circumferences of the two circles. We can see the circumference as a kind of 'perimeter' for a circle.
2. The radius of the circle of Ana's brother in the blue car is as follows:
a. We have that the circumference of a circle is given by the formula:
[tex]C=2\cdot\pi\cdot r[/tex]Then, we need to solve this equation for r. We have that pi = 3.14, and C = 220 feet. Then, we have:
[tex]220=2\cdot\pi\cdot r\Rightarrow r=\frac{220}{2\pi}\Rightarrow r=\frac{220}{2\cdot3.14}\Rightarrow r=35.0318[/tex]Rounding to the nearest tenth, we have that the radius is RB = 35.0 feet (or 35 feet).
3. We can apply the same procedure to find the radius of the circle made by Ana's sister in the green car (she traveled 126 feet).
[tex]126=2\cdot\pi\cdot r\Rightarrow r=\frac{126}{2\cdot3.14}\Rightarrow r=20.0637[/tex]Rounding to the nearest tenth, we have that the radius is RG = 20.1 feet.
4. The difference in the radii of the circles is the difference between the two ones already obtained. Then, we have:
[tex]d=rB-rG=35.0-20.1\Rightarrow d=14.9[/tex]Therefore, the difference is 14.9 feet.
Find the quotient. 1/5 divided by (-5/7)
Answers
The most appropriate choice for fraction will be given by -
The correct quotient for this division is [tex]-\frac{7}{25}[/tex]
What is a fraction?
Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.
The upper part of fraction is called numerator and the lower part of fraction is called denominator.
We can do addition, subtraction, multiplication and division on fractions.
Here,
The calculation for division of two fractions has been shown below.
[tex]\frac{1}{5} \div -\frac{5}{7}\\\frac{1}{5} \times -\frac{7}{5}\\-\frac{7}{25}[/tex]
The correct quotient for this division is [tex]-\frac{7}{25}[/tex]
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help meeeeeeee pleaseee
thank you
Answers
The domain and the range of the relation are given as follows:
Domain:
A. Interval: (-∞, ∞).
B. Roster: {x | x = Real}
Range:
A. Interval: (-∞, -3].
B. Roster: {y | y ≤ -3}
What are the domain and the range of a function?The domain of a function is the set that contains all the values assumed by the input of the function. In a graph, the input is given by the horizontal axis, hence the values of x.
In this problem, the x-values of the graph assume all real values, hence the notations for the domain are as follows:
In interval notation, (-∞, ∞).In roster notation, {x | x = Real}.The range of a function is the set that contains all the values assumed by the output of the function. In a graph, the output is given by the vertical axis, hence the values of y.
In this problem, y assumes values of -3 and less, hence the notations for the range are as follows:
In interval notation, (-∞, -3].In roster notation, {y | y ≤ -3}.More can be learned about domain and range at https://brainly.com/question/10197594
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Jesse played two days of golf. On the second day, he got a score of 6 below par, or-6. His total score for the two days was O above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Answers
Answer
If Jesse's score on the first day is x
The equation that represents what is described in the question is
x - 6 = 0
x = +6 (6 above par)
Jesse's score on the first day = +6 (6 above par)
Explanation
Let Jesse's score on the first day be x
Jesse's score on the second day = -6 (6 below par)
His total score for the two days was 0
So, the sum of his scores for the two days can be written as
x + (-6)
And that is equal to 0
x + (-6) = 0
x - 6 = 0
We can then solve this to obtain x; Jesse's score on the first day
x - 6 = 0
Add 6 to both sides
x - 6 + 6 = 0 + 6
x = +6 (6 above par)
Hope this Helps!!!
Expand the logarithm fully using the properties of logs. Express the final answer interms of log a, and log y.
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To solve this problem, we will use these rules
[tex]\begin{gathered} \log ab=\log a+\log b\rightarrow(1) \\ \log a^n=n\log a\rightarrow(2) \end{gathered}[/tex]The given expression is
[tex]\log x^5y[/tex]By using rule (1)
[tex]\log x^5y=\log x^5+\log y[/tex]Use the rule (2) with log x^5
[tex]\log x^5=5\log x[/tex]Then the last answer is
[tex]\log x^5y=5\log x+\log y[/tex]The answer is 5 log x + log y
Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.a²-36/5a + 30Rational expression in lowest terms:Variable restrictions for the original expression: a
Answers
The expression is given to be:
[tex]\frac{a^2-36}{5a+30}[/tex]From the numerator, using the difference of two squares, we have:
[tex]a^2-36=a^2-6^2=(a-6)(a+6)[/tex]From the denominator, by factorization, we have:
[tex]5a+30=5(a+6)[/tex]Therefore, the expression becomes:
[tex]\Rightarrow\frac{(a-6)(a+6)}{5(a+6)}[/tex]Cancel out common terms in the denominator and numerator. The simplified expression will be:
[tex]\Rightarrow\frac{a-6}{5}[/tex]From the original expression, the variable restriction will be at:
[tex]\begin{gathered} 5a+30=0 \\ Solving \\ 5a=-30 \\ a=-\frac{30}{5} \\ a=-6 \end{gathered}[/tex]The restriction is:
[tex]-6[/tex]Solve the systems of equations. List the variables p, q, and r. p-6q+4r = 2
2p+4q-8r=16
p-2q=5
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Base on the system, the equation has infinite number of solution.
How to solve system of equation?A system of Equations is when we have two or more linear equations working together.
Therefore, the system of equation can be solved as follows:
p - 6q + 4r = 2
2p + 4q - 8r = 16
p - 2q = 5
Using equation(iii)
p = 5 + 2q
substitute the value of p in equation (i) and equation(ii)
Therefore,
5 + 2q - 6q + 4r = 2
-4q + 4r = -3
2(5 + 2q) + 4q - 8r = 16
10 + 4q + 4q - 8r = 16
8q - 8r = 6
Therefore, combine the new equations to find q and r.
-4q + 4r = -3
8q - 8r = 6
Multiply equation(1) by 2
- 8q + 8r = -6
8q - 8r = 6
add the equations
0 = 0
Therefore, equation have infinite number of solution.
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Use the change of base rule to find the logarithm to four decimal places
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Answer:
b. -16.7410
Explanation:
The change of base rule says that:
[tex]\log _ab=\frac{\log _{}a}{\log \text{ b}}[/tex]Where log is logarithm in base 10. So, we can rewrite the initial expression as:
[tex]\log _90.877=\frac{\log 9}{\log \text{ 0.877}}[/tex]So, using the calculator, we get:
[tex]\log _90.877=\frac{0.9542}{-0.057}=-16.7410[/tex]Therefore, the answer is b. -16.7410
Which is the complete factor for the problem?24x² - 6xy - 63y3(4x - 7y) (2x + 3y)3xy(4x + 7y)(3y + 2)2(12r² - 3ry) - 63y²3(8x² - 2xy-21 y²)
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Consider the following polynomial:
[tex]24x^2\text{ - 6xy - 63y}^2[/tex]The common factor of this polynomial is 3. Thus, we get the following equivalent polynomial:
[tex]3(8x^2\text{ - 2xy - 21y}^2)[/tex]Now, if we factor the polynomial in the parentheses, we get:
[tex]3(2x+3y)(4x\text{ - 7y})[/tex]thus, we can conclude that the correct answer is:
Answer:[tex]3\left(4x-7y\right)(2x+3y)[/tex]what is another way to write to 72-(-25)?A.72+ 25B.-72-25C.72-25D.-72-(-25)what is the value of -27-8?A.-35B.-19C.19D.35How much is 37 +13A.-50B.-29C.29D.51What is the solution to 40+(-11)?A.-51B.-29C.29D.50What is the value of -31 +30?A.-61B.-1C.1D.61Am sorry to bother you is there any way you can help me I didn't know if I was supposed to send this for people helps
Answers
So, basically, we need to simply the expression given to us.
The given expression is:
72 - (-25)
From the laws guiding signs, we know that:
- * - = +
Therefore, the expression becomes:
72 + 25
That is another way of writing the expression
Help I don’t understand!!
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Farm c is Marc's farm it have 60 % of purple flowers
To find percentage :
In Farm B it shows that 0.6 are purple flowers .
0.6 is 6 of 10 it is 60 %.
And other farms have 11/20 that is 55% in Farm A
For Farm C only 40 %.
Percentage :
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".Although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.The formula used to calculate percentage is: (value/total value)×100%.If you are required to convert a decimal number like 0.57 to a percentage, you simply multiply it by 100. That is, 0.57 x 100 = 57. Therefore, 0.57 as a percentage equals 57%.To find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.To learn more about PERCENTAGE refer :
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Solve for B
A=4B+ 7C
B=
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Answer: B=A-7C
Step-by-step explanation:
a=4b+7c a-7c=B
On the unit circle, which of the following angles has the terminal point coordinates
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In this case,
[tex]y=-\frac{\sqrt[]{2}}{2}\text{ and x=-}\frac{\sqrt[]{2}}{2}[/tex][tex]\theta=\tan ^{-1}(1)=45^o,225^o[/tex]Since x is negative, and y is negative
[tex]\theta=225^o[/tex]help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answers
The amount of coffee that was imported in 2007 is 2.0606 million pounds.
What is a function?It should be noted that a function simply s used to illustrate the relationship between the variables given.
From the information, the function is illustrated as:
= 0.7166x² + 6.267x + 1.344
x represents 1997 which was given as 0.
Therefore, the amount in 1997 will be:
= 0.7166x² + 6.267x + 1.344
= 0.7166(0)² + 6.267(0) + 1.344
= 0.7166 + 1.344
= 2.0606 million pounds.
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For homework Rio is listing some examples of real numbers in a diagram natural 6 whole -1 integer 0 rational .5 Which number did Rio Place incorrectly?
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Whole numbers are similar to natural(non-negative, non-fractional). The only difference is that it includes the 0.
In this question, Rio placed -1 as an example of whole number. Since -1 is negative, it is not a whole number, so this the number which Rio placed incorrectly.
Which is an equation of a direct proportion?A. [tex]y = 8 \times [/tex][tex]y = \frac{1}{2}x + 4[/tex][tex]y = \frac{12}{x} [/tex][tex]y = 4x - 4[/tex]
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The general form of a equation with direct proportion is:
[tex]y=kx[/tex]k is a constant
Because y increase when x increase, and y decrease when x decrease.
Then, of the given options the direct proportion is:
[tex]y=8x[/tex]One letter tile is selected and the spinner is spun. What is the probability that both will be avowel?P (vowel) Tile:P (vowel) Spinner:Multiply fractions - probability that both will be a vowel
Answers
SOLUTION:
Step 1:
To find the probability of picking a vowel from G, B, E and A.
A and E are the vowels here,
[tex]P\text{ (vowel) Tile : }\frac{2}{4}\text{ = }\frac{1}{2}[/tex]Step 2:
To find the probability that the spinner showed a vowel from A, B and C.
A is the only vowel here,
[tex]P\text{ (vowel) Spinner: }\frac{1}{3}[/tex]Step 3:
To find the probability that both will be a vowel:
[tex]\begin{gathered} P\text{ (vowel) Tile X P (vowel) spinner} \\ \frac{1}{2}\text{ x }\frac{1}{3} \\ \\ \frac{1}{6} \end{gathered}[/tex]CONCLUSION:
The probability that both will be a vowel is 1/6
Two rectangular fields, both measured in yards, are modeled below.
6
Tx-41
8
X
What value of x, in yards, would cause the fields to have equal areas?
Part B) Solve the equation you selected in Part A and answer the question.
Enter your final answer in the space provided.
Answers
The value of x = 12.
What is the area of rectangle?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides.
Area of rectangle = length × breadth
Given, area of both rectangle is same
length of 1st rectangle = x+4
breadth= 6
length of second rectangle = 8
breadth = x
According to question,
6(x+4) = 8x
6x+24 = 8x
2x= 24
x = 24/2
x =12
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Question 1 of 44Chico is considering taking out a 14-year loan with monthly payments of $185at an APR of 2.7%, compounded monthly, and this equates to a loan of$25,857.12. Assuming that Chico's monthly payment and the length of theloan remain fixed, which of these is a correct statement?A. If the interest rate were 2.9%, the amount of the loan that Chico isconsidering would be more than $25,857.12B. If the interest rate were 3.1%, the amount of the loan that Chico isconsidering would be more than $25,857.12C. If the interest rate were 2.5%, the amount of the loan that Chico isconsidering would be less than $25857.12.D. If the interest rate were 3.3% the amount of the loan that Chico isconsidering would be less than $25.857.12
Answers
We have a loan with a period of 14 years, monthly payments of $185 and an APR of 2.7% compounded monthly.
That equates to a loan of $25,857.12.
We have to check the statements:
A. In the case that the interest rate was higher (2.9% instead of 2.7%), the amount of the loan with the same period and payments should be lower.
This is because, for the same amount of the loan, we should be paying a higher monthly amount if the interest rate is higher.
NOTE: for an interest rate of 2.9%, the amount of the loan would be $25,519.54.
Then, this statement is false.
B. In this case, we increase the rate even more (to 3.1%), so the amount of the loan would be even lower than in case A.
NOTE: it would be $25,188.05.
This statement is false.
C. In this case, the interest rate is less than 2.7%, so the amount of the loan would be higher ($ 26,200.91).
This statement is false.
D. In this case, the interest rate is higher than 2.7%, so the amount of the loan will be less.
This statement is
Two equivalent numbers of 55%
Answers
Answer: 0.55 and 55/100
Step-by-step explanation:
I need help pls pls pls
Answers
the sum of the first and the third term of a GP is 10 if the first term is 2 find :(a)the common ratio (b)the 6th term
Answers
(a)the common ratio = 2
(b)the 6th term = 64
How to find the common ratio and 6th term ?
A geometric progression, which is another name for a geometric sequence, is a series of non-zero numbers .In a G.P each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratioA geometric progression is given by a, ar, a[tex]r^{2}[/tex], a[tex]r^{3}[/tex],....Here, the common ratio = r
the first term = a = 2
(a)the common ratio
[tex]a +ar^{2} = 10\\\\2(1+r^{2} ) = 10\\\\(1+r^{2} ) = 5\\\\r^{2} =4\\\\r = 2[/tex]
The common ratio (r) = 2
(b)the 6th term
[tex]a_{n}=ar^{n-1} \\\\a_{6}=ar^{6-1} \\\\a_{6} =2(2^{5} )\\\\a_{6}=64[/tex]
Thus ,the 6th term = 64
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(((50 POINTSSSS))) Three points determine △ABC. The distance between A and B is 22.2 feet. The distance between B and C is 9.9 feet.
What is the range for the distance between A and C? The range of the distance from A to C is greater than feet and less than feet.
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If three points determine △ABC. The distance between A and B is 22.2 feet. The distance between B and C is 9.9 feet. The range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet
How to find the maximum and the minimum range of distances
given data
The distance between A and B is 22.2 feet
The distance between B and C is 9.9 feet
The range of the distance from A to C is greater than
= 22.2 feet - 9.9 feet
= 12.3 feet
The range of the distance from A to C is less than
= 22.2 feet + 9.9 feet
= 32.1 feet
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Please help will mark BRAINLIEST
The staff of a restaurant consists of 25 people,
including 8 waiters, 12 waitresses and 5 cooks. For
Mother's Day, a total of 9 people will need to be
selected to work. If the selections are made at
random, determine the probability that 3 waiters, 4
waitresses and 2 cooks will be selected.
Answers
The probability that 3 waiters, 4 waitresses, and 2 cooks will be selected is 0.085.
The probability that an outcome will be recorded is calculated by dividing the whole possibilities of the desired outcome by the total number of possible outcomes.
Probability = Favourable outcomes / Possible outcomes
The total number of staff in the restaurant is 25.
There are 8 waiters, 12 waitresses, and 5 cooks.
Now, on Mother's Day, a total of 9 people need to be selected.
The combination can be used to find the number number of ways people can be selected.
Therefore,
The number of ways to select 3 waiters, 4 waitresses, and 2 cooks will be:
= ₈C₃ × ₁₂C₄ × ₅C₂
= [ 8! / 3! 5! ] × [ 12! / 4! 8! ] × [ 5! / 2! 3! ]
= [ 8 × 7 × 6 / 3 × 2 ] × [ 12 × 11 × 10 × 9 / 4 × 3 × 2 ] × [ 5 × 4 / 2 ]
= 56 × 495 × 10
= 277200 ways
If there are no restrictions and these 9 people are chosen at random from the 25 available staff, then the number of ways is
₂₅C₁₀ = [ 25! / 10! 15! ]
₂₅C₁₀ = [ 25 × 24 × 23 × 22 × 21 × 20 × 19 × 18 × 17 × 16 / 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 ]
₂₅C₁₀ = 3268760
Therefore, the probability that 3 waiters, 4 waitresses, and 2 cooks will be selected is :
= 277200 / 3268760
= 0.08480279983 = 0.085
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Translate to an equation and solve.What is 75% of 274?is 75% of 274.(Simplify your answer. Type an integer or a decimal.)
Answers
We are asked to determine the 75% of 274. When we need to get the "n" percentage of a number "r" then we use the following relationship:
[tex]P=r\times\frac{n}{100}[/tex]Where "P" is the percentage.
Now, we substitute the given values:
[tex]P=274\times\frac{75}{100}[/tex]Solving the operations:
[tex]P=205.5[/tex]Therefore, the 75% of 274 is 205.5
