14. A sample of size 3 is selected without replacement from the members of a club that consists of 4 male students and 5 female students. Find the probability the sample has at least one female. 20 10
Answers
20/21 is the probability that the sample has at least one female.
The total number of students in the club is 4 + 5 = 9.
The sample size is 3. Therefore, the number of ways to choose 3 students out of 9 is: C(9,3) = 84.
There are 5 female students. Therefore, the number of ways to choose 3 students from 5 female students is: C(5,3) = 10.
The probability of selecting at least one female is equal to 1 minus the probability of selecting all male members. The probability of selecting all male members is the number of ways to choose 3 members out of 4 male students divided by the total number of ways to choose 3 members from 9. Therefore, the probability of selecting all male members is: C(4,3) / C(9,3) = 4/84 = 1/21.
So, the probability of selecting at least one female is: P(at least one female) = 1 - P(all male members) = 1 - 1/21 = 20/21.
Therefore, the probability that the sample has at least one female is 20/21.
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Related Questions
What are the 4 steps in graphing linear inequalities?.
Answers
The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.
In the given question we have to explain the 4 steps in graphing linear inequalities.
Step 1: Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the inequality symbol with the equality symbol.
Step 3: In XY plane, graph the boundary line from step 2.
Step 4: The final step is to shade a portion or one side of the border line.
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Help complete the square in picture please 20 points
Answers
Answer:
x = 3 +√43, x = 3 - √43
Step-by-step explanation:
x^2 - 6x - 34 = 0
move the 34 across
x^2 - 6x = 34
take -6 and divide by two, then square it
(-6/2)^2 = 9
add the product to your equation
x^2 - 6 + 9 = 34 + 9
solve
(x - 3)^2 = 43
x - 3 = ± √43
x = 3 ± √43
Which of the following ordered pair could NOT be included in this set if it is a function?
{(-4, 2), (3, 6), (4,3), (x, y) }
A (x, y) = (-3, 6)
B (x, y) = (1, 2)
C (x, y) = (3,6)
D (x, y) = (4, -3)
Answers
Answer:
B is the right answer and if you add
3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest
Answers
Answer:
3/4 * 120 = 90
3/8 * 120 = 45
Step-by-step explanation:
3/4 of something is the same as multiplying by 0.75 (to do it one way.)
Or you can just divide 120 by 4, then multiply it by 3.
EDIT: I see you're asking for 3/4, then 3/8...
If it's 3/8s you want, it's 45.
Which of the following is true about a "cumulative ACK witha sequence number M in the Go-Back-N protocol) A When received by the sender, it retransmits all da packets in the window up to sequence number M When received by the sender, it slides its window by b When sent by the receiver, all packets up to sequer number M were correctly received and delivered D. Both (B) and (C) B. C. 11. The function that is not a cause of extra overhead of routers used to forward IPv4 datagrams is: A. The datagram header checksum B. The datagram fragmentation C. The datagram options D. The datagram reassembly 12. In the Selective-Repeat protocol, if the timer expires, A. All packets in the window are retransmitted and t is restarted B The packet, for which the timer has exp retransmitted immediately and its timeout in Part 1: (20 points, I point each) Choose the best answer for each of the following multiple-choice questions 1. Which of the following Internet transport-layer services provide error checking" A. TCP B. UDP C Neither TCP nor UDP D. Both TCP and UDP 2. The type of delay that is not caused by the store-and-forward strategy used by the switching devices is: A. The processing delay B. The queuing delay C. The transmission delay D. The propagation delay 3. In a statistical multiplexed system, if the average queuing delay is very close to zero, then: A. The system is very well-engineered B. The traffic intensity is greater than 50% C. The system resources are inefficiently utilized D. None of the above
Answers
TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.
TCP provides error checking to ensure reliable data delivery, making option A the correct answer.
The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.
The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.
Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
3. The correct answer is A. The system is very well-engineered.
In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.
Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.
When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.
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2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees. What is mAngleMHJ? 35° 50° 72.5° 92.5°
Answers
Answer:
Step-by-step explanation:
a) sum of angle on the straight line TRW is 180.
Given <TRS = 2x+10
<SRW = x-10
<TRS+<SRW = 180
2x+10+x-10 = 180
3x = 180
x = 180/3
x = 60°
<TRV = 180°-(2x+10)
Substitute x = 60° into the expression
<TRV = 180-(2(60)+10)
<TRV = 180-(120+10)
<TRV = 180-130
<TRV = 50°
2) From the diagram attached <MHJ= <LHK (oppositely directed angle)
Given
<MHJ= x+15
<LHK = 2x-20
Substitute the given data into the formula to get x
x+15= 2x-20
x-2x = -15-20
-x = -35
x = 35°
Next is to get the measure of <MHJ
<MHJ = x+15
<MHJ = 35+15
<MHJ = 50°
House pice y is estimated as a function of the square footage of a house x, dummy variable d that equals t if the house has ocean views and 0 otherwise: and the interaction variable xd. The estimated house price, measured in $1,000 s, is given by y^=80+012x+ 40d+0.01xd 0. Compute the predicted price of a house with ocean views and square footage of 2,000 and 3,000 , respectively, (Enter your onswers in thousands.) b. Compute the predicted price of a house without ocean views and square footoge of 2,000 and 3,000 , respectively. (Enter your onswers in thousonds.)
Answers
a. The predicted price of the house with ocean views and 3,000 square footage is $510,000.
b. The predicted price of the house without ocean views and 3,000 square footage is $440,000.
a. To compute the predicted price of a house with ocean views and square footage of 2,000, we substitute the values into the regression equation:
y = 80 + 0.12x + 40d + 0.01xd
For ocean views (d = 1) and square footage of 2,000 (x = 2,000):
y = 80 + 0.12(2,000) + 40(1) + 0.01(2,000)(1)
= 80 + 240 + 40 + 20
= 380
The predicted price of the house with ocean views and 2,000 square footage is $380,000.
Similarly, for a square footage of 3,000 (x = 3,000):
y = 80 + 0.12(3,000) + 40(1) + 0.01(3,000)(1)
= 80 + 360 + 40 + 30
= 510
The predicted price of the house with ocean views and 3,000 square footage is $510,000.
b. To compute the predicted price of a house without ocean views and square footage of 2,000, we substitute the values into the regression equation:
y = 80 + 0.12x + 40d + 0.01xd
For no ocean views (d = 0) and square footage of 2,000 (x = 2,000):
y = 80 + 0.12(2,000) + 40(0) + 0.01(2,000)(0)
= 80 + 240 + 0 + 0
= 320
The predicted price of the house without ocean views and 2,000 square footage is $320,000.
Similarly, for a square footage of 3,000 (x = 3,000):
y = 80 + 0.12(3,000) + 40(0) + 0.01(3,000)(0)
= 80 + 360 + 0 + 0
= 440
The predicted price of the house without ocean views and 3,000 square footage is $440,000.
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11_-7compare use <=or>
Answers
Here, we want to compare the two numbers, using the appropriate inequality/equality sign
Mathematically, 11 is greater than -7
Thus, the equality sign in the blank will be the greater than sign
We have this represented as;
\(11\text{ > -7}\)The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.
Answers
Answer:
8.86×10⁸
Step-by-step explanation:
The most significant digit of the number is in the hundred millions place. The exponent of 10 associated with that number place is 8, so the multiplier in scientific notation is 10^8.
Scientific notationThe significant digits of the number are written with one of them to the left of the decimal point. The power of ten multiplier is that associated with the place value of the most-significant digit.
886 million = 8.86×10⁸
NEED HELP ASAP. GETS BRAINIEST GET A 100 POINTS
Is the Fibonacci sequence arithmetic, geometric, or neither? Explain how you know.
Look at quotients . What do you notice about this sequence of numbers?
The 15th through 19th Fibonacci numbers are 610, 987, 1597, 2584, 4181. What do you notice about the quotients ?
Answers
Answer:
there are different kind of sequence number and just multiply the fractions.
Step-by-step explanation:
multiply fractions aND you will get the answer.
Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of ______ and a shift downward of 4 units?
Answers
Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.
What is scale factor?In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.
Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:
(x, y) → (SFx, SFy) = (1/3x, 1/3y)
Where:
x and y represents the data points.SF represents the scale factor.In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:
y = 1/3∛x - 4.
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Answer:
The first part is A
and second part is D
Step-by-step explanation:
100% on edge 2023
Multicollinearity is not a problem as long as you're aware that it exists and do not come to false conclusions. True OR False?
Answers
Multicollinearity is indeed a problem in statistical analysis, regardless of whether you are aware of its existence or not. Multicollinearity refers to a high correlation between two or more predictor variables in a regression model.
It can cause issues such as unstable coefficient estimates, difficulty in interpreting the individual effects of predictors, and increased uncertainty in the model's predictions.Even if you are aware of multicollinearity, it doesn't eliminate the problem itself. While awareness can help you be cautious about the interpretation of the coefficients and take appropriate steps, such as examining variance inflation factors (VIF) or using regularization techniques, it does not eliminate the inherent issues caused by multicollinearity.
Therefore, it is important to address multicollinearity in your analysis through methods like removing redundant variables, transforming variables, or using dimensionality reduction techniques to mitigate its impact on the model's results and reliability.
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There are 12 months in a year. How many months are there in 8 years? (Show your work.)
Answers
Answer:
1 year ---->12 months
8 years ---> 12×8 =96 months
so there will be 96 months in a 8 years .
Answer:
can you connect me private?
Prove the triangles are similar.
Answers
Answer:
SAS similarity
Step-by-step explanation:
The two triangles MON and MQP are such that
Angle M = Angle M
MO/MQ = MN/MP
Therefore, Triangle MON ~ Triangle MQP (SAS similarity)
Find the equation of a line perpendicular to 4x−y=2 that contains the point (4,−2). Write the equation in slope-intercept form.
Answers
Step-by-step explanation:
4x -y =2
-y = -4x + 2
y = 4x -2
slope = 4
perpendicular slope is negative inverse
so -1/4
y- -2 = -1/4(x - 4)
y+2 = -1/4x +1
y = -1/4x -1
As per slope-intercept form, the equation of a line perpendicular to
4x - y = 2 that contains the point (4,−2) is x + 4y + 4 = 0.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, 'm' is the slope and 'c' ix the y-intercept of the given line.
The given equation is 4x - y = 2
Therefore, in slope-intercept form, this equation will be:
y = 4x - 2
Therefore, the slope of this line is m = 4.
The required line is perpendicular to the given line.
Therefore, the slope of the required line is
= - 1/m
= - 1/4
Again, the required line passes through the point (4, - 2).
Therefore, - 2 = - (1/4)4 + c
⇒ c = - 2 + 1
⇒ c = - 1
The equation of the required line is
y = - (1/4)x - 1
⇒ 4y = - x - 4
⇒ x + 4y + 4 = 0
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number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?
Answers
Answer:
Step-by-step explanation:
Given ratio of boys and girls in the class =7:5
No of boys is 8more than the girls
So
Let no of boys in the class =7x
No of girls in the class=5x
7x=5x+8
2x=8
X=8/2
X=4.
Total strength =no of boys + no of girls
=7x+5x
=7×4+5×4
= 28+20
=48.
Total strength in the class is 48.
Answer:
Total class strength = 48
Step-by-step explanation:
Boys : Girls = 7 : 5
Number of boys = 7x
Number of girls = 5x
7x - 5x = 8
2x = 8
x = 8/2
x = 4
Total strength = 7x + 5x = 12x = 12*4 = 48
Solve for 8x + 17 = 41 for x. Show your work.
Answers
The value οf x is 3
What is variable?A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.
A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.
Given
8x+17 = 41
Sοlving fοr variable 'x'
Add '-17' tο each side.
17 + -17 + 8x = 41 + -17
Or, 8x=24
Divide each side by '8'
Or, x=3
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Round √41 to two decimal places.
PLS HELP
and pls give the correct answer
Answers
Answer:
6.40
Step-by-step explanation:
√41 = 6.4031242
Answer: 6.40
Answer:
Answer:
6.40
Step-by-step explanation:
√41 = 6.4031242
Answer: 6.40
Step-by-step explanation:
The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width (in meters)?
Answers
write 43600000×56000 in scientific notation
Answers
Answer:
(4.36x10^7)x(5.6x10^4)
Step-by-step explanation:
To answer the question what is 43600000 in scientific notation let’s recall how to convert 43600000 to scientific notation as detailed on our home page.
When you split the number 43600000 into a coefficient and a power of 10 you do get 43600000 in exponential form, but there is an indefinite number of possibilities.
As you probably want 43600000 in normalized scientific notation, the coefficient or significand of 43600000 in scientific notation must be in the interval [1,10[.
As there are many ways to express 43600000 in scientific notation, in this post we mean 43600000 in normalized scientific notation, unless stated otherwise. Therefore:
43600000 in scientific notation = 4.36 × 107.
Now you can do that for the other one to found out what it is equal to.
A study compared the effects of regular-fat cheese to an equal amount of reduced-fat cheese on LDL cholesterol levels. What is/are the dependent variable(s)?
a. regular fat cheese
b. LDL levels
c. reduced fat cheese
d. both a and b
e. both b and c
Answers
In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels
The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.
LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.
Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.
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45% of 30 is equal to 18% of what number
Answers
Answer:
75
Step-by-step explanation:
(0.45)(30) = (0.18)x
x = (0.45)(30) / (0.18)
x = 13.5 / 0.18 = 75
Check the answer:
(0.45)(30) = (0.18)(75)
13.5 = 13.5 answer is correct!
Answer:
Step-by-step explanation:
45% of 30 = 18% of some number
In this kind of questions, we usually assume the missing number as as something
Let the number be x
So assuming the number is x, the equation will be as follows:
45% of 30 is equal to 18% of x
45/ 100 * 30 = 18/100 * x
This means that 0.45 *30= 0.18 * x
Therefore, 13.5 = 0.18 x
Thus X = 13.5 / 0.18
Which is equal to 75
Thus 45% of 30 is equal to 18% of 75
Proving the above situation as follows:
45% OF 30 = 13.5
And 18% of 75 = 13.5
Thus both equations are equal.
Solution =75
Please help this is due in a few Brainliest will be rewarded!!!!!
Answers
Step-by-step explanation:
the middle one has to be the same for both part ratios.
the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there
for that (as a ratio is a fraction) we also have to adapt the A element in the same way.
so, we get
4×2 : 5×2 : 9 =
= 8 : 10 : 9
and that is also shown in the graphic.
Answer:
X:Y:Z= 8:10:9
Step-by-step explanation:
Let x be the number of students in class A
Let y be the number of students in class B
Let z be the number of students in class C
x:y = 4:5
y:z= 10: 9
x:y:z = ?
Find the LCM of the y terms (5 and 10 ) which is 10
Divide 10 by the first y term (5) = 2
Divide 10 by the second y term(10) = 1
X: y = (4 x 2) :(5 x 2)= 8:10
y:z =(10 x 1) : (9:1)= 10:9
x:y:z= 8:10:9
Someone plz help me!
Giving brainliest ❤️
Answers
Answer: 4 4.75 4.50 4.50
Step-by-step explanation:
Answer: 3, 3 1/2, 4 1/2, 5
x^2 + 2x + 7 simplified
Answers
Answer:
This equation cannot be further simplified.
Step-by-step explanation:
\(x^{2} + 2x + 7\) is already simplified, and cannot be simplified further. Hope this helps, and just contact me by posting a comment if you have another problem that needs simplified! Have a great day! :D
Use this list of Basic Taylor Series to find the Taylor Series for f(x) = ?ln(1?x) based at 0. Give your answer using summation notation and give the largest open interval on which the series converges
Answers
we can write the Taylor series for f(x) = ln(1/x) using summation notation:
ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n
The Taylor series for the function f(x) = ln(1/x) based at 0 can be found by using the basic Taylor series for the natural logarithm function ln(1 + x):
ln(1 + x) = x - (x²)/2 + (x³)/3 - (x⁴)/4 + ...
To obtain the Taylor series for f(x) = ln(1/x), we need to substitute x with -x in the above series:
ln(1 - x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...
However, we want the Taylor series for f(x) = ln(1/x) based at 0, so we need to flip the sign of each term in the series:
ln(1/x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...
Now, we can write the Taylor series for f(x) = ln(1/x) using summation notation:
ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n
The largest open interval on which this series converges is (0, 1]. This is because the natural logarithm function ln(1/x) is only defined for positive values of x, and the Taylor series converges within the interval (0, 1].
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Line A is represented by the following equation: X + y = 2
What is most likely the equation for line B so the set of equations has no solution?
Answers
Answer:
x+y=3
Step-by-step explanation:
For an equation to have no solution, their slope needs to be same and y intercept needs to be different,
so in this case where x+y=2
doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2
Okay have posted the next question.
Answers
Answer:
1. only 1 unique triangle can be made
2. only 1 unique triangle can be made
3. multiple triangles are possible
4. True
5. True
6. False
7. only 1 unique triangle can be made
8. only 1 unique triangle is possible
9. multiple triangles are possible
10. no triangle is possible
Step-by-step explanation:
Ask in comments if you got any questions.
Answer:All are correct I think.
Step-by-step explanation:
Please help
What is 5/8 of 3/7
Answers
solve (5w-8)/3 = 4w + 2[
Answers
Answer:
w = -2
Step-by-step explanation:
(5w - 8)/3 = 4w + 2
First, we will distribute the division problem on the left.
5w/3 - 8/3 = 4w + 2
Next, subtract 4w from both sides
5w/3 - 8/3 - 4w = 4w + 2 - 4w
We have to turn 4w on the left side into a fraction, but we have to make sure they are like fractions (meaning they have the same denominator).
5w/3 - 8/3 - 12w/3 = 2
5w/3 and -12w/3 are like terms (same variables) so we will subtract -12w/3 from 5w/3
-7w/3 - 8/3 = 2
Now, we will add 8/3 to both sides
-7w/3 - 8/3 + 8/3 = 2 + 8/3
to add 2 and 8/3 together, we need to make them like fractions
-7w/3 = 6/3 + 8/3
-7w/3 = 14/3
Now we get rid of the 3 by mutliplying 3 to both sides
3 * (-7w/3) = 3 * (14/3)
-7w = 14
No we have to divide -7 to both sides
-7w/-7 = 14/-7
w = -2