Solve the equation x^2 – 16x + 25 = 0 to the nearest tenth.

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

the answer is $36.04

Step-by-step explanation:

34 dived into 100= 0.34 times 6 equals 2.04 34+2.04=36.04

Answer:

-24

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

13 is a prime number

so it can only have the positive integer factors {1,13}

So {x,y} = {1,13} or {13,1}

In either case, 1+13 = 14

The sum of x + y is 14 .

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

According to the question

xy=13

both x and y are positive

As 13 is a prime number

i.e

(x,y) can be only 1 or 13 .

To get 13 as product of xy

(x,y) must be equal to  (1,13) or (13,1)

Therefore,

the sum of x + y  = 13 + 1

                           = 14

Hence, the sum of x + y is 14 .

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The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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Answer:

m=0

Step-by-step explanation:

\(m=\frac{Rise}{Run}=\frac{y_1-y_0}{x_1-x_0}=\frac{5-5}{7-(-8)}=0\\m=0\)

Answer:

Find the angle measurement like a 90 degree angle or something for both of them and then find the solution following it. If you need further help post the question with the name where these questions are posted!

PLEASE GIVE BRAINLIEST THANK YOU!!!

Soviet union, union of Soviet socialist republic

Answer:

y = 9 - 2x / 3

Step-by-step explanation:

Refer the attached picture

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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We can use this information to answer different questions, such as the probability that the total amount of impurity in 50 batches is below a certain value, or the probability that the average amount of impurity in the 50 batches is within a certain range.

The distribution of the amount of impurity in a batch of the chemical product follows a normal distribution with mean 4.0 g and standard deviation 1.5 g.

If 50 batches are independently prepared, the total amount of impurity in all 50 batches will also follow a normal distribution with mean 50*4.0 g = 200 g (the sum of the means of each batch) and standard deviation sqrt(50)*1.5 g = 3.74 g (the square root of the sum of the variances of each batch).

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In 2016,  the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is 0.0385

Since form the graph, we know that 77% experienced homelessness and

9% Food Insecurity

If the total sample is 100%

Then the the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is:

0.05 x 0.77 = 0.0385

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Full Question:

See attached image.

In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months?

Answer:

-4

Step-by-step explanation:

-12x+18=-16x+2

+16x       +16x

4x+18=2

    -18   -18

4x=-16

/4     /4

x=-4

Answer:

x=‒4

Step-by-step explanation:

‒6(2x‒3)=‒2(8x‒1)

‒12x+18=‒16x+2

‒12x+16x=2‒18

4x=‒16

4x/4=‒16/4

x=‒4

i hope it helps you.

Answer:

(6,5)

Step-by-step explanation:

x = (x1 + x2)/2 = (2 + 10)/2 = 12/2 = 6

y =(y1 + y2)/2 = (2 + 8)/2 = 10/2 = 5

Answer:

$1.71

Step-by-step explanation:

Just took the test.

The cost of each juice bottle is $1.71.

Let, the cost of each juice bottle as "x".

Given:

Cost of chips = $2.94

Total cost before tax = $16.62

Isaac bought an 8-pack of juice bottles, so the total cost of the juice bottles is 8x.

The total cost of chips and juice bottles should be equal to the total cost before tax:

Cost of chips + Cost of juice bottles = Total cost before tax

$2.94 + 8x = $16.62

Now, solve for "x" the equation:

8x = $16.62 - $2.94

8x = $13.68

Divide both sides by 8:

x = $13.68 / 8

x = $1.71.

So, the cost of each juice bottle is $1.71.

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Answer:

I thin its 10 units down but im not sure

Step-by-step explanation:

Function f(z) continuous at z = 3, the value of c must be 3. This is because the function is continuous at z = 3 if the two pieces of the function have the same value at z = 3. In this case, the two pieces of the function are z + 3 and -z^2 + c. For these two pieces to have the same value at z = 3, we must have c = 3.

The function f(z) is piecewise defined as follows:

f(z) = z + 3 if z < 3

f(z) = -z^2 + c if z >= 3

We want to make the function continuous at z = 3. This means that the two pieces of the function must have the same value at z = 3.

The value of the first piece of the function at z = 3 is 3 + 3 = 6.

The value of the second piece of the function at z = 3 is -3^2 + c = -9 + c.

For the two pieces of the function to have the same value at z = 3, we must have c = -9 + 6 = 3.

Therefore, the value of c that makes the function f(z) continuous at z = 3 is 3.

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The diagram that shows the scope of the system, indicating what elements are inside and outside the system, is called a system boundary diagram or a system context diagram.

It is a graphical representation that helps to define the boundaries of the system under consideration and identify its inputs, outputs, and interfaces with other systems or elements in its environment. The system boundary diagram is an important tool in systems thinking and analysis as it allows us to focus on the essential components of the system and understand how it interacts with its surroundings.

what is diagram?

A diagram is a visual representation of information, data, or ideas. It is a graphical or symbolic representation of concepts, relationships, or processes that are often complex or difficult to understand in written or verbal form. Diagrams are used in many different fields, including science, engineering, mathematics, business, and education, to communicate ideas and simplify complex information

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Answer:

75.9 km/hr

Step-by-step explanation:

Distance between the highway and farmhouse is given as = 2km = a

The distance after the intersection and the highway = b

Let the distance between the farmhouse and the car = c

Using the Pythagoras Theorem rule

c² = a² + b²

c² = 2² + b²

Step 1

Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time

c² = 2² + b²

dc/dt (2c) = 4 + 2b

dc/dt =[ b/(√b² + 4)] × db/dt

We are told in the question that:

the car travels past the farmhouse on on the highway at a speed of 80 km/h.

We are asked to calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road.

This calculated using the obtained differentiation above:

dc/dt = [ b/(√b² + 4)] × db/dt

Where b = 6km

db/dt = 80km/hr

[6/(√6² + 4)] × 80km/hr

6/√36 + 4 × 80km/hr

6 × 80/√40

480/√40

= 75.894663844km/hr

Approximately = 75.9km/hr

In this exercise we want to calculate the speed of the vehicle to reach the farm, in this way we will find a speed of approximately:

\(75.9 km/hr\)

To start this exercise we have to use some data informed in the text, like this:

Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time

\(c^2 = 2^2 + b^2\\\frac{dc}{dt} (2c) = 4 + 2b\\\frac{dc}{dt} =[ b/(\sqrt{b^2} + 4)] ( \frac{db}{dt})\)

Calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road. This calculated using the obtained differentiation above:

\(\frac{dc}{dt} = [ 6/(\sqrt{6^2} + 4)] (80)\\=6/\sqrt{36} + 4 * 80\\=6 * 80/\sqrt{40} \\=480/\sqrt{40} \\= 75.9km/hr\)

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The money Andreas has left from his share of the money when he has bought the video game is £179.50.

Let the amount of money that they share be represented by the variable x.

Given that they share the money in the ratio 3:2:5, we can express their share of the money as:

Andreas' share = 3x/10

Isla's share = 2x/10

= x/5

Paulo's share = 5x/10

= x/2Also, given that the total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives, we can form an equation:

x/5 + x/2 = 3x/10 + £76

Multiplying both sides by 10 to get rid of the fractions, we get: 2x + 5x = 3x + £760x = £760

Therefore, the total amount of money shared is £760.

Now that we know the total amount of money shared, we can determine how much Andreas has left after buying the video game.

We are told that Andreas buys a video game for £48.50 with some of his share of the money.

Therefore, he has £48.50 less than his share of the money left, which is:3x/10 - £48.50.

This simplifies to:(3/10)(£760) - £48.50= £228 - £48.50= £179.50

Therefore, Andreas has £179.50 left from his share of the money after buying the video game.

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Answer:

7

Step-by-step explanation:

1 x  3=

2x3=6

4x3=12

7x3=21

Answer:

7

Step-by-step explanation:

im not that smart either but i think tis the 3s

1 x3 = 3

2 x3 = 6

4 x3 =12

7 x3 = 21

if tht makes any sense

To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O

Two triangles are comparable if the measurements of their corresponding sides are proportionate. Additionally, if the measurements of two sides in one triangle are proportional to the measurements of the corresponding sides in another triangle and the included angles are congruent, the triangles are similar.

Similar figures

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides is in the same proportion.

From the image, MN corresponds to QR, also ∠S ≅ ∠O

To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O

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Answer:

Step-by-step explanation:

5y + x = 25

Subtract x from both sides when x = 5

5y + x - x = 25 - x

5y = 20

5y/5 = 20/5

=4

Y=4

Answer:

Step-by-step explanation:

Clyde has x crayons.

Amanda has y crayons.

The equation:

Answer:

4 dollars per hour

Step-by-step explanation:

K23 is the graph that does not have any Euler path.

So, option A is correct.

An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph. It is often helpful to think about functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output. A codomain should be considered, for instance, while determining if a function is onto (surjective) or not. The codomain is not determined by the graph of a function alone. The terms "function" and "graph of a function" are frequently used[3] because, although they refer to the same thing, they convey a different viewpoint.

If a graph has more than the two vertices of an odd degree, then the graph does not have any Euler path.

So, K23 is the graph that does not have any Euler path.

Hence, option A is correct.

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The complete question is :

"Select the graph that does not have an Euler trail.

A.K2,3

B.K3,3

C.K3,4

D.K4,4"

Answer:

D

Step-by-step explanation:

Plz mark brainliest

The days which saw either rain or very high winds is 74.

The area of mathematics known as probability is concerned with how random events turn out. The definition of probability is chance or potential for a result. It clarifies the likelihood of a specific occurrence. We frequently say things like, "It will probably rain today," "He'll probably pass the test," "There's very little chance we'll get a storm tonight," and "It'll probably get expensive again for onions."

We insert the word probability in place of all the phrases chance, doubt, maybe, probable, etc. in all of these sentences. In essence, probability is the forecasting of an outcome that is either based on the analysis of past data or the variety and quantity of alternative outcomes.

Here : P(rain) =44

P(wind) = 45

Both =15

P(r)+p(w)-P(both)=P(r or w)

44+45-15=P(r or w)

P(r or w) = 74

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The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

Given that,

Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.

We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?

We know that,

n = 2343

Point estimate = sample proportion = \(\hat p\) = 0.530

1 - \(\hat p\) = 1 -0.530 = 0.470

At 99% confidence level

α = 1-0.99% =1-0.99 =0.01

α /2 =0.01/ 2= 0.005

Z(α /2) = Z0.005 = 2.576

Z (α/2) = 2.576 = 2.58

Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)

=2.576 × (√(0.530×(0.470) /2343 )

= 0.027

A 99% confidence interval for population proportion p is ,

\(\hat p\)- E < p < \(\hat p\) + E

0.530 -0.027 < p < 0.530 +0.027

0.503 < p < 0.556

( 0.503, 0.556 )

Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

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