A group of 26 friend are going to travel to a fetival together, 6 of them can drive. They have a 13 peron mini-bu (1 driver 12 paenger), two car (1 driver and 4 paenger in each car) and the remaining 3 friend will take the train. The number of way in which the friend can travel (ignoring paenger eat poition within each vehicle) i a×1012. Work out the value of a. Give your anwer correct to 3 ignificant figure
Answers
If passenger seat position within each vehicle is ignoring, then the number of ways that can the friends travel is 17847429600 ways
Total number of friends = 26 friends
They have 6 seat car and 13 seat car and remaining 3 will take a bus
In the first car 6 of the 26 friends are going to sit
The combination will be
26C₆ = 230230
The combination is defined as An arrangement of object where the order in which the objects are selected doesn't matter. The combination means Selection of things, where the order of things has no importance.
In the second car 13 of 20 friends are going to sit
The combination will be
20C₁₃ = 77520
Calculate combinations, use the formula n Cr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. Calculate a combination, will need to calculate a factorial.
The factorial of a number is the multiplication of all the numbers between 1 and the number itself. It is written like this: n! . So the factorial of 2 is 2! (= 1 × 2).
Remaining 3 will take the train
Therefore the number of ways = 26C₆ × 20C₁₃ × 3C₃
= 230230 × 77520 × 1
= 17847429600
Hence, the number of ways that can the friends travel is 17847429600 ways.
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Related Questions
each value in the data set is decreased by 7. how does this change affect the mean, median, and mode?
Answers
If each value in a data set is decreased by 7 , when each value in a data set is decreased by 7, the mean, median, and mode are all affected by a decrease of 7.However, if the mode was not one of the values that was decreased by 7, then it will remain the same .
The median, on the other hand, may or may not change. The median is the middle value in a data set, so if the data set has an odd number of values, the median will remain the same because the middle value will still be the same. However, if the data set has an even number of values, the median may change because there will no longer be a single middle value. In this case, the new median will be the average of the two middle values, which may or may not be different from the original median.
The mode, or the most common value in the data set, may or may not change as well. If the mode is one of the values that was decreased by 7, then it will no longer be the most common value and a new value will take its place as the mode. However, if the mode was not one of the values that was decreased by 7, then it will remain the same.
Mean: The mean, or average, is calculated by adding all the data values and dividing by the total number of values. When each value is decreased by 7, the overall sum of the values is reduced by 7 times the total number of values. As a result, the mean will also decrease by 7.
Median: The median is the middle value in a data set when the values are arranged in ascending or descending order. Since each value is decreased by the same amount (7), the order of the values does not change, and the median value will also be decreased by 7.
Mode: The mode is the value that occurs most frequently in a data set. Decreasing each value by 7 does not affect the frequency of the values, only their magnitude. Thus, the mode will also be decreased by 7.
When each value in a data set is decreased by 7, the mean, median, and mode are all affected by a decrease of 7.
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5(5-5)=4(5-5) why cant you cancel the 5-5
Answers
Answer:
you cannot cancel (5-5) because it is multiplied to 5 and 4 if the question was 5+(5-5)=4+(5-5) you can cancel 5-5
The reason that we can't cancel out the (5 - 5) is because it is attached to different numbers and as such they must be multiplied first with distributive property.
How to use properties of algebra?According to the distributive property of algebra, multiplying the sum of two or more addends by a number will give us the same result as when each addend is multiplied individually by the number and the products are added together.
This also applies to addition as well.
We are given;
5(5 - 5) = 4(5 - 5)
Now, according to the distributive property, we will have to first multiply out the bracket to get a solution. Thus, we can't cancel out the (5 - 5) because it is attached to different numbers and as such they must be multiplied first with distributive property in mind.
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why is genetic drift a more powerful force in small populations? the inheritance of genes in sexual reproduction has a major chance component. during meiosis homologous chromosomes separate and migrate to different poles. the haploid daughter cells each have one allele for each gene, but which allele they have is random. essentially meiosis is like flipping thousands of coins and getting either a head (one allele) or a tail (the other allele) for each one. at a single locus each parent passes on either a head or a tail with a 50% probability of each. over an entire population each allele should be passed on proportionately to its frequency. in other words if 10% of the alleles in a population are a, then allele a should show up in 10% of the gametes. however, results do not always follow probability, especially with small sample sizes. the results of one coin flip are independent of the results of the next coin flip. if a coin is flipped 2 times it is not unlikely that the results will be 2 heads or 2 tails. if a coin is flipped 10 times, it is very unlikely that the result will be 10 heads or 10 tails. and if the coin is flipped 100 times, it is so unlikely that all the flips will be tails (or heads) that for practical purposes it can be regarded as impossible. similarly in a small population, random chance can significant change the frequency of alleles in a short time. in a large population, genetic drift has only very small effects in any given generation. view the animation below, then complete the quiz to test your knowledge of the concept.
Answers
Meiosis is comparable to flipping thousands of coins and acquiring one gene for each head or tail result (one allele).
Why is genetic drift stronger in small populations?Sexual reproduction involves a significant amount of chance in how genes are passed down. Meiosis is the process through which homologous chromosomes split and go to distinct poles. Each gene in the haploid daughter cells has one allele, but the specific allele that each cell possesses is random. Meiosis can be compared to flipping thousands of coins and getting either a head or a tail (one allele) for each one. Each parent at a single locus has a 50% chance of passing either a head or a tail. Every allele in a population should be transmitted proportionally to its frequency.
In other words, if 10% of a population's alleles are allele A, then 10% of the gametes should also have allele A. Results, particularly for small sample sizes, don't always follow probability, though. The outcome of one coin flip does not affect the outcome of the following coin flip. It is not improbable that a coin will come up heads or tails after being flipped twice. It is extremely unlikely that 10 coin flips will produce 10 heads or 10 tails.
And since it is highly unlikely that all 100 flips of the coin will result in heads (or tails), it can be viewed as impossible. In a small population, random chance can also quickly and significantly alter the frequency of alleles. Genetic drift only has a very little impact on a generation at a time in a huge population. To check your understanding of the idea, watch the animation below and then answer the questions.
The complete question is:
Why is genetic drift a more powerful force in small populations?
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34-89=
Plzzzzz helppp mee
Answers
Answer:
-55
Step-by-step explanation:
If this answer helped you then please consider making this brainliest and thank this response :)
Answer:
The answer is -4
Step-by-step explanation:
Let A=[4−331] and B=[1−44k]. What value(s) of k, if any, will make AB=BA ? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. k= (Use a comma to separate answers as needed.) B. No value of k will make AB=BA
Answers
The calculated value of k for AB = BA is -23/3
How to calculate the value of k form AB = BAfrom the question, we have the following parameters that can be used in our computation:
\(A = \left[\begin{array}{cc}4&-3\\3&1\end{array}\right]\)
\(B = \left[\begin{array}{cc}1&-4\\4&k\end{array}\right]\)
The matrix AB is calculated as
\(AB = \left[\begin{array}{cc}4-12&-16-3k\\3+4&-12+k\end{array}\right]\)
\(AB = \left[\begin{array}{cc}-8&-16-3k\\7&-12+k\end{array}\right]\)
Next, we have
\(BA = \left[\begin{array}{cc}4-12&-3-4&16+3k&-12+k\end{array}\right]\)
\(BA = \left[\begin{array}{cc}-8&-7&16+3k&-12+k\end{array}\right]\)
So, we have
16 + 3k = -7
Evaluate
3k = -23
Divide by 3
k = -23/3
Hence, the value of k form AB = BA is -23/3
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What is the price of a $70.00 bottle of paper paste after a 20% discount?
Answers
Answer: The price of a $70.00 bottle of paper paste after a 20% discount would be $56.00.
5c represents which part of
the expression?
50 - 8f
constant?
variable?
term?
coefficient?
Answers
Answer:
it represents the term of the equation
For a certain brand of canned corn, the company claims that the mean weight of the contents of the cans is 15.25 ounces. A random sample of 36 cans were selected. The sample was found to have mean 15.18 ounces and standard deviation 0.12 ounce. A hypothesis test will be conducted to investigate whether there is evidence to support the belief that the mean is less than 15.25 ounces.
Required:
What is the correct test statistic for the hypothesis test?
Answers
Answer:
s+0
Step-by-step explanation:
h.o mean of f= S =0
H.a mean of F=S >0
three times the cost is 24$.
Answers
Answer:
72
Step-by-step explanation:
24 x 3 = 72
20 x 3 = 60
4 x 3 = 12
60+12= 72
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
-1/3x+4
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The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.
Answers
The statements that are true regarding triangle XYZ are XZ = 9√2 and YZ = 9
Which statements regarding triangle XYZ are correct?from the question, we have the following parameters that can be used in our computation:
XY = 9 cm
Also, we have the right triangle
The acute angle in the triangle is 45 degrees
This means that
XY = YZ = 9
It also means that
XZ = XY√2
So, we have
XZ = 9√2
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Mattie planted a small tree in her backyard. The tree was planted when it was only 2 ft tall, and grows at a rate of 1.5 ft per year. How long until the tree is 8 ft tall?
Answers
Answer:
4 years
Step-by-step explanation:
2ft
1.5×4=6(1.5 per so multiply it by four and add to number 2)
2+6=8
Mr. Henry's class reads an average of 8 books during the school year. Brooklyn reads 10 books. What percentage AND fraction of the class average did Brooklyn read during the year?
Answers
Answer:
The answer is 125% in percentage form, or \(\frac{10}{8}\) in fraction form.
Step-by-step explanation:
\(\frac{8}{8}\) = 100%
\(\frac{2}{8}\) = 25%
\(\frac{8}{8}\) + \(\frac{2}{8}\) = 125%
\(\frac{8}{8}\) + \(\frac{2}{8}\) = \(\frac{10}{8}\)
Thus, the answer is \(\frac{10}{8}\) or 125%.
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Given GH with endpoints (-7,3) andH (7. - 11), what are the coordinates of the
mielpoint of GH?
Answers
Answer:
Midpoint is (0, -4)
Step-by-step explanation:
x-coordinate of midpoint = (-7 + 7)/2 = 0/2 = 0
y-coordinate of midpoint = (3 - 11)/2 = -8/2 = -4
Midpoint is (0, -4)
Answer:
(0,-4)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-7 + 7/2 , 3 + -11/2)
(0/2, -8/2)
(0,-4)
5.83. the probabilities are 0.40, 0.50, and 0.10 that, in city driving, a certain kind of compact car will average less than 28 miles per gallon, from 28 to 32 miles per gallon, or more than 32 miles per gallon. find the probability that among 10 such cars tested, 3 will average less than 28 miles per gallon, 6 will average from 28 to 32 miles per gallon, and 1 will average more than 32 miles per gallon.
Answers
The probability that among 10 such cars tested, 3 will average less than 28 miles per gallon, 6 will average from 28 to 32 miles per gallon, and 1 will average more than 32 miles per gallon is given by 0.0020125
Let X be the number of cars among ten that averages less than 28 miles per gallon. Let Y be the number of cars among ten that average from 28 to 32 miles per gallon. Let Z be the number of cars among ten that average more than 32 miles per gallon. We are to find P(X = 3, Y = 6, Z = 1).
Firstly, let us find the probability of getting 3 cars among 10 cars that will average less than 28 miles per gallon.
The probability of getting exactly 3 cars among 10 cars that will average less than 28 miles per gallon is given by the probability mass function:
P(X = 3) = (10C3) (0.4)³ (0.6)⁷
= (10 x 9 x 8 / 3 x 2 x 1) (0.064) (0.096)
= 0.23 (approximately)
Similarly, the probability of getting 6 cars among 10 cars that will average from 28 to 32 miles per gallon is given by the probability mass function:
P(Y = 6) = (10C6) (0.5)⁶ (0.5)⁴
= (10 x 9 x 8 x 7 x 6 x 5 / 6 x 5 x 4 x 3 x 2 x 1) (0.156) (0.063)
= 0.25 (approximately)
Finally, the probability of getting 1 car among 10 cars that will average more than 32 miles per gallon is given by the probability mass function:
P(Z = 1) = (10C1) (0.1)¹ (0.9)⁹
= (10) (0.1) (0.348)
= 0.035
Therefore, the answer is:
P(X = 3, Y = 6, Z = 1) = P(X = 3) P(Y = 6) P(Z = 1)
= 0.23 x 0.25 x 0.035
= 0.0020125 (approximately)
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In ΔJKL, the measure of ∠L=90°, LK = 12, KJ = 37, and JL = 35. What ratio represents the secant of ∠K?
Answers
Answer:
Sec <K = 37/12
Step-by-step explanation:
Given the following measure
∠L=90°
LK = 12
KJ = 37, and
JL = 35.
Considering angle K
JL = opposite
KJ =hypotenuse
LK = adjacent
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos m<K = LK/KJ
cos m<K = 12/37
Since sec theta = 1/cos thets
Sec <K = 1/cos<K
Sec <K = 1/(12/37)
Sec <K = 37/12
a) [x] = [y] = [z] = 1.0 m
Answers
When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.
Therefore the answer is c) reaction is at equilibrium.
Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.
It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.
When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.
--The question is incomplete, answering to the question below--
"In which direction will the net reaction proceed.
X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k
for each of these sets of initial conditions?
A) [X] = [Y] = [Z] = 1.0 M
[a] net reaction goes to the left [this one?]
[b] net reaction goes to the right
[c] reaction is at equilibrium"
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Simetricul unui punct fata de o dreapta
Answers
Answer: Un set de puncte are simetrie de linie dacă și numai dacă există o linie, l, astfel încât reflectarea prin l a fiecărui punct din mulțime să fie și un punct din mulțime.
Step-by-step explanation:
a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
Answers
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
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.
If a rectangle has its length 8cm and breadth 6cm find length of diagonal
Answers
Answer:
the length of the diagonal is 10cm
Step-by-step explanation:
C²=8²+6²
C²= 64+36
C²=100
√C²=√100
C=10cm
Can some Please help me with this please please :(((( (The Image is In The Question)
When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
SELECT GROUP OF ANSWER CHOICES
A. The y-intercept approximates the average cost of one book.
B. The y-intercept approximates the cost of Hana's lunch.
C. The slope approximates the cost of Hana's lunch.
D. The trend line goes through the origin.
E. The slope approximates the average cost of one book.
Answers
What are the vertex and range of y = |x + 3| + 2?
(−3, 2); 2 ≤ y < ∞
(−3, 2); −∞ < y < ∞
(0, 5); 2 ≤ y < ∞
(0, 5); −∞ < y < ∞
Answers
Answer:
(−3, 2); −∞ < y < ∞
Step-by-step explanation:
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answers
_____________________________________
AnswerS :
1. Tan Z = p / b = 21/28
2. Cos C = b / h = 16 / 34 = 8/17
3. Sin C = p/ h = 28/35
4. Tan X = p / b = 32/24 = 16 / 12
5. cos A = b / h = 30/34 = 15 / 17
6. Sin A = p / h = 32/40 = 16/20
7. sin Z = p / h = 24 / 40 = 12 / 20
8. sin C = p / h = 14 / 50 = 7 / 25
RemembeR :
Sin θ = Perpendicular / HeightCos θ = Base / Height Tan θ = Perpendicular / Base- HappY LearninG (≧▽≦)
__________________________________
SOHCAHTOA is an acronym for the formula
Sin= Opposite/hypothenuse
cos= adjusent/ hypothenuse
tan=opposite/adjusent
After u found the ratio u use inverse- put it in ur calculator then u get the answer
i answered one question- so u see how to solve
what is the solution to the equation? t-15=76
Answers
Answer:
t=91
Step-by-step explanation:
Find the slope of the line through (4, 6) and (4, 10).
A.0
B.3
C.1/3
D. Undefined
Answers
Answer:
D. Undefined
Step-by-step explanation:
4-4 = 0, 10-6 = 4
Change of x = 0
Change of y = 4
Since the change of x is 0 (a horizontal line), it is undefined.
What’s 50.272 to 1 decimal place
Answers
TRUNCATED to one decimal place, it's 50.2
ROUNDED to one decimal place, it's 50.3
The round-off of 50.272 to 1 decimal place using rules of rounding
numbers are 50.3.
Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.
Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.
So, 50.272 becomes 50.3 when rounded to one decimal place.
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alison has $9.70 in dimes and quarters. thenumber of quarters is eight more than four times the number of dimes. how many of each coin does she have?
Show work in equations or a table.
Answers
Alison has 7 dimes and 36 quarters.
How to use equation to represent a situation?He has $9.70 in dimes and quarters.
The number of quarters is eight more than four times the number of dimes.
let
the number of dimes = x
the number of quarters = y
Therefore,
y = 8 + 4x
0.1 x + 0.25y = 9.70
-4x + y = 8
0.1 x + 0.25y = 9.70
multiply equation(i) by 0.25
-x + 0.25y = 2
0.1 x + 0.25y = 9.70
subtract equation(i) from (ii)
1.1x = 7.70
x = 7.70 / 1.1
x = 7
Hence,
y = 8 + 4x
y = 8 + 4(7)
y = 8 + 28
y = 36
Therefore, Alison has 7 dimes and 36 quarters.
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Leah works at an appliance store. She recorded her recent sales. washing machines 3 dishwashers 1 ovens 6 clothes dryers 5 What is the experimental probability that the next appliance Leah sells will be an oven? Write your answer as a fraction or whole number. P(oven)=
Answers
Answer:
2/5
Step-by-step explanation:
Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!
Find WX and the area of UVW
Answers
The area of the triangle UVW is approximately \(48.020 \ mm^2\), and the height (perpendicular) WX is approximately \(5.339 \ mm\).
To find the area of a triangle, we can use the formula:
\(\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]\)
In this case, the \(18\) mm side can be considered as the base, and we need to find the height of the triangle. To find the height, we can use trigonometry.
Side UV is \(18 \ mm\), side VW is \(7 \ mm\), and angle UVW is \(48\)°.
To find the height of the triangle, we need to determine the length of the perpendicular from point W to side UV.
Using trigonometry, we can determine the height \((\( h \))\) using the formula:
\(\[ h = BC \times \sin(\text{angle UVW}) \]\)
Let's calculate it:
\(\[ h = 7 \, \text{mm} \times \sin(48^\circ) \approx 5.339 \, \text{mm} \]\)
Now, we can calculate the area of the triangle:
\(\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 18 \, \text{mm} \times 5.339 \, \text{mm} \approx 48.020 \, \text{mm}^2 \]\)
Therefore, the area of the triangle is approximately \(48.020 \ mm^2\), and the height (perpendicular) just opposite the \(48\)° angle is approximately \(5.339 \ mm\).
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Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4
Answers
Answer:
16x16x16x1.6
Step-by-step explanation:
here's your answer hope it helps you