100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?

A 10
B. 20
c. 50
D. 80
E. 100​

The homogeneous system in exercise 24 has nontrivial solutions. To determine if the homogeneous system has nontrivial solutions by inspection.

We can observe the coefficients of the variables in each equation and look for patterns or relationships that indicate the existence of nontrivial solutions.

13. By observing the coefficients of the variables in each equation, we can see that the system has a nontrivial solution. The first equation has a coefficient of -3 for x2 and a coefficient of 8 for x3, indicating that there may be a relationship between x2 and x3 that allows for a nontrivial solution. Similarly, the second equation has coefficients of 7 and -8 for x1 and x3, suggesting a possible relationship between x1 and x3. The third equation also has coefficients that allow for a nontrivial solution. Therefore, the homogeneous system in exercise 13 has nontrivial solutions.

Without calculating explicitly, we can see that the system has a nontrivial solution. The fourth equation has a coefficient of -1 for x4, indicating that there is a relationship between x4 and the other variables. Additionally, the first three equations have coefficients that suggest possible relationships between the variables, which further supports the existence of nontrivial solutions. Hence, the homogeneous system in exercise 24 has nontrivial solutions.

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7 people so first one shakes hand with the remaining people. that is 6

The 2nd person also shakes hand with 6 persons but we have already counted his handshake with first person. so we have to add 6-1 = 5 shakes for 2nd person

like wise 3rd person shakes hand with the remaining 6-2 = 4 people

4th person with 6-3=3 people

5th person with 6-4= 2 persons

6th person with 6-5=1 person

and 7th one with no one because already he has shaken his hand with everyone.

since these people shake their hands with others only once we just have to add the obtained values

6+5 +4+3+2+1= 21

totally 21 handshakes will be there in that room

Answer:

no

Step-by-step explanation:

2 : 12 = 1 : 6

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:

a) 95% of the coworkers fall in the interval (0.339, 0.501).

This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.

This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.

c) There is a 95% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.

d) There is a 42% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.

e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.

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A decision tree is a tree-shaped graph that helps in decision making. The tree starts with a decision-making situation or point where different decisions can be taken in different directions.

The decision-making process keeps on moving in various directions based on the decisions taken until it reaches the end of the decision tree.

A decision tree helps in analyzing and deciding among different possible courses of action, based on the cost and value of each potential outcome. Draw a decision tree for the scenario. There are two types of incentive paid to programmers; they are High and Low.

If the programmer is programming in Visual Basic and writes one program or more per day, his incentive is high else it is low. If he is programming in Java, then his incentive is high if he writes two programs or more per day, else it is low.

If the programming language is C++ eligible for high incentive, then there are no conditions for receiving an incentive. Decision tree: Decision Tree for Incentive Paid to Programmers.

The above decision tree shows the possible decisions that could be made for the given scenario. The first decision point is the programming language. The programming languages used by the programmers are Visual Basic, Java, or C++. The second decision point is the number of programs written by the programmer in a day.

The incentive is high if the number of programs written is more than the required limit and low if it's less than the required limit. The decision tree ends with the type of incentive that the programmer is eligible for.

The above decision tree can be used to analyze the incentive paid to programmers based on their programming languages and the number of programs they write per day.

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Answer:

+4 and -4

Step-by-step explanation:

x² + 16=0

x=-√16

x=-4 or +4

The equation for the cost of a taxi ride as c = 0.75(d - 0.5) + 3.

Distance traveled refers to the total distance covered by an object or person over a certain period of time or within a given context. It can be measured in units such as meters, kilometers, miles, or any other unit of length.

Equation:

Let d be the distance travelled in kilometres, and let c be the cost in dollars. Then we can write the equation for the cost of a taxi ride as:

c = 0.75(d - 0.5) + 3

This equation takes into account the initial $3.00 fee, as well as the additional $0.75 for every 0.5km

Table:

Distance (km) Cost ($)

0.5 3.38

1 3.75

1.5 4.13

2 4.50

2.5 4.88

3 5.25

3.5 5.63

4 6.00

4.5 6.38

5 6.75

5.5 7.13

6 7.50

6.5 7.88

7 8.25

7.5 8.63

8 9.00

8.5 9.38

9 9.75

9.5 10.13

10 10.50

Graph:

The x-axis represents the distance in kilometers, and the y-axis represents the cost in dollars. We start the graph at (0, 3), and then plot a point at (0.5, 3.75), (1, 4.5), (1.5, 5.25), and so on, until we get to (10, 18). We then draw a line connecting all of these points to create a line graph.

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Answer:

3,500,000

Step-by-step explanation:

Answer:

Sue biked 3,500,000 centimetres.

Step-by-step explanation:

First, multiply 5 km by 7 (days). 5 × 7 = 35 km

Convert the kilometres to centimetres.

There are 100,000 cm in a kilometer, so multiply:

35 × 100,000 = 3,500,000 cm.

Answer:

yaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

sssssssssssszsssssss

Step-by-step explanation: The domain is the set of all the x terms.

In the graph shown here, we can see that the x terms are increasing

in both a positive and negative direction and there seems to be no

limit to how large or how small the x terms can get.

So the x terms can be all positive or negative numbers,

including decimals and fractions, so our domain is all x-values.

For the range however, we are dealing with the y terms.

Notice that all the y terms are greater than or equal to 0.

So the range is {y: y > or equal to -4}.

So the 1st box and the 5th box should be checked.

the CDF is: F(y) = (area of triangle formed by AB and the point) / (area of triangle ABC)  = y / 2    for 0 ≤ y ≤ 2 and  the PDF is: f(y) = 1 / 2    for 0 ≤ y ≤ 2

To find the CDF and PDF of Y, the distance from a point chosen uniformly within the triangle to the line segment AB, we can proceed without relying on a diagram.

Let's consider the line segment AB first, which has a length of 2 units. The distance from the point within the triangle to AB can range from 0 to the length of AB.

1. CDF (Cumulative Distribution Function):

The CDF of Y, denoted as F(y), is the probability that Y is less than or equal to a given value y.

For 0 ≤ y ≤ 2:

Since the point can be anywhere within the triangle, the probability of Y being less than or equal to y is equal to the ratio of the area of the triangle formed by the line segment AB and the point within the triangle to the total area of the triangle ABC.

The area of triangle ABC is (1/2) * base * height = (1/2) * 2 * 2 = 2.

For 0 ≤ y ≤ 2, the area of the triangle formed by AB and the point within the triangle is (1/2) * y * 2 = y.

Therefore, the CDF is:

F(y) = (area of triangle formed by AB and the point) / (area of triangle ABC)

    = y / 2    for 0 ≤ y ≤ 2

2. PDF (Probability Density Function):

The PDF of Y, denoted as f(y), is the derivative of the CDF with respect to y.

For 0 ≤ y ≤ 2:

Since the CDF is a linear function within this range, the derivative is constant.

f(y) = d(F(y)) / dy

    = d(y / 2) / dy

    = 1 / 2    for 0 ≤ y ≤ 2

Therefore, the PDF is:

f(y) = 1 / 2    for 0 ≤ y ≤ 2

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Answer:

(-1, -2.5)

Step-by-step explanation:

(3, 0) is the midpoint between (2, 2) and (4, -2)

(-5, -5) (3, 0) the midpoint between these two points is

(-5 + 3) / 2 = -1, (-5 + 0) / 2 = -2.5

Answer:

3/4

Step-by-step explanation:

The slope of the line is given by

m= (y2-y1)/(x2-x1)

   = (6-3)/(0 - -4)

  = (6-3)/( 0+4)

   3/4

Answer:

20 days

Step-by-step explanation:

50 × 10 is 500, so double that to the reorder point (1000) making it 20 days.

Answer:

−39

Step-by-step explanation:

−6^2+5−6−2

=−36+5−6−2

=−31−6−2

=−37−2

=−39

Answer:

4

Step-by-step explanation:

(-6)^2 + 5(-6) -2

= 36 - 30 - 2

= 6 - 2

= 4

Is this the one you meant?

Answer: 388872

Step-by-step explanation: take 396000 divide it by 98.2%

Given that the plane flies at 100 mph for the first and last half-hour of a numbers , and it flies at 150 mph the rest of the time. We need to find the distance of the plane from Erewhon after 4 hours of flying.The total flight duration = 4 hoursThe distance of the plane from Erewhon = ?.

First, we will find the distance traveled by the plane in the first half-hour:Distance covered in the first half hour = Speed × Time= 100 × 0.5= 50 milesSimilarly, the distance traveled by the plane in the last half-hour = 50 milesThe distance left to cover after the first and last half-hour = Total Distance - Distance covered in the first and last half-hour= 900 - 50 - 50= 800 milesTime taken to cover this distance = 4 - 0.5 - 0.5 = 3 hoursNow, we will calculate the distance covered during these 3 hours:

Distance covered = Speed × Time= 150 × 3= 450 miles Therefore, the total distance covered during the journey = 50 + 450 + 50 = 550 miles.Distance of the plane from Erewhon = Total distance - Distance covered= 900 - 550= 350 milesTherefore, the distance of the plane from Erewhon after 4 hours of flying is 350 miles.

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Theresa uses 14.81 inches of fabrics on an headband and 8.54 inches on a wristband for each player.  

She uses 533.16 inches of fabric on  headbands for 33 players and 3 coaches.

let

x = fabric use for each headbands

Therefore,

33x + 3x = 533.16

36x = 533.16

x = 533.16 / 36

x = 14.81 inches

let

y = fabrics use for each wristband for players

33y = 281.82

y = 281.82 / 33

y = 8.54 inches

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Using a system of equations, it is found that the number of votes that he received for each place is given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

He received 892 total votes, hence:

x + y + z = 892.

Total of 2029 points, hence:

3x + 2y + z = 2029.

He had 4 fewer than twice as many second-place votes as first-place votes, hence:

x = 2y - 4.

Replacing in each of the first two equations:

x + y + z = 892.

2y - 4 + y + z = 892

3y + z = 896.

3x + 2y + z = 2029

3(2y - 4) + 2y + z = 2029

8y + z = 2041.

Multiplying the first equation by -1, and subtracting the second equation from the first, we have that:

5y = 1145

y = 1145/5

y = 229.

The other amounts are given as follows:

Hence the number of votes that he received for each place is given as follows:

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Answer:

2.2%

Step-by-step explanation:

The probability of drawing a red sock on the first draw is 2/10, or 1/5, since there are 2 red socks out of 10 total socks. After the first red sock is drawn, there will be only 1 red sock left in the drawer, out of a total of 9 socks. Therefore, the probability of drawing another red sock on the second draw is 1/9.

To find the probability of both events happening (drawing a red sock on the first draw and then drawing another red sock on the second draw), we multiply the probabilities of each event:

P(red then red) = P(red on first draw) × P(red on second draw | red on first draw)

P(red then red) = (2/10) × (1/9)

P(red then red) = 1/45

Therefore, the probability of drawing two red socks in a row is 1/45, or approximately 0.022 or 2.2%.

The given question is incomplete. The complete question is:

Joanna earns $12 per hour at her job. Last week, joanna earns $432

use this information to answer the next question. Which equation can be used to determine the number of hours Joanna worked last week.

a. h+ 12 = 432

b. 432 h =12

c. 12 h = 432

d. \(\frac{1}{12} h=432\)

Answer: c. 12 h = 432

Step-by-step explanation:

Given : Amount paid per hour = 12 $

12 $ are earned by Joanna by working for = 1 hour

Thus 432 $ are earned by Joanna by working for = \(\frac{1}{12}\times 432hour=36hours\)

Thus the equation that can be used to determine the number of hours Joanna worked last week is \(12\times h=432\)

Answer:

work is pictured and shown

Answer:

\((-x+6)(x+7)\)

\((4x-5)(4x-5)\)

Step-by-step explanation:

\(-x^2-x+42\)

\(-\left(x^2+x-42\right)\)

\(-\left(x-6\right)\left(x+7\right)\)

\((-x+6)(x+7)\)

\(16x^2 + 25- 40x\)

\(16x^2-40x+25\)

\(\left(4x\right)^2-2\cdot \:4x\cdot \:5+5^2\)

\(\left(4x-5\right)^2\)

\((4x-5)(4x-5)\)

Answer:

-(x+6)(x+7)

(4x-5)(4x-5)

Step-by-step explanation:

Answer:

Figure 1 Line segment. It is written CD (Technically, CD refers to the points C and D and all the points between them, and CD without the refers to the distance from C to D.)

Hey there!

It’s basically the points that are lie along C & D with it not necessarily being the distance points of C & D.

Example: EF are perpendicular to CD or AB are perpendicular to CD. (Either of these should work because perpendicular simply is the line that most likely intersects at a 90° angle

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.

It is to be noted that

m∠GFH = m∠EFH

m∠EFH = 71°

m∠EFG = m∠GFH + mEFH

Hence,

m∠EFG = 71 + 71

= 142°

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Answer:

15

Step-by-step explanation:

Just divide 72 by 5 because of there being 72 total peoples and them being DIVIDED into groups of 5.

72/5=14.4

Though you cant have a .4 group of people, so there would be 15 groups.

Answer:

option A

Step-by-step explanation:

it says that 1.2 with the mark percent representing the function percent it is also increasing

Therefore, it's a

Glad I can help tell me if you need anything else!

The triangle with vertices at the points (-9,4), (-4,9) and (-9,7) is plotted at the end of this answer.

Each vertex is a point given in the following format:

(x,y).

In which:

Hence, to plot the triangle, we first plot the three points on the Cartesian plane, then we use line segments to join them and form the triangle, as was done in the graph at the end of the answer.

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