cual es la fraccion Unitaria mas Grande?

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).

To learn more about Binomial probability - brainly.com/question/12474772

#SPJ11

The maximum possible volume of a rectangular box with a fixed diagonal length l can be found using the Pythagorean Theorem. Since the diagonal of a rectangular box is the hypotenuse of a right triangle, it can be written as l^2 = a^2 + b^2.

To find the maximum possible volume, we can take the derivative of the volume function with respect to both the length a and the width b. After some algebra, this derivative can be simplified to the following equation: (2a - l)(2b - l) = 0. This equation states that either a = l/2 or b = l/2, which makes the box a cube with sides of length l/2. Therefore, the maximum possible volume of a rectangular box with fixed diagonal length l is (l/2)^3 = (l^3)/8.

To learn more about Pythagoras theoram:

https://brainly.com/question/231802

#SPJ4

The given system is consistent for all the b₁, b₂, and b₃. And this system satisfies 7b₁+5b₂+b₃=0. So the correct statement is option A.

When the system of equations is written in standard form as a matrix using the constants and coefficients, the augmented matrix is formed.

Let us consider the value of \(X=\left[\begin{array}{ccc}x_1\\x_2\\x_3\end{array}\right]\). Then, the system Ax=b is written as follows,

\(\left[\begin{array}{ccc}1&-3&2\\-2&5&-1\\3&-4&5\end{array}\right]\left[\begin{array}{ccc}x_1\\x_2\\x_3\end{array}\right]=\left[\begin{array}{ccc}b_1\\b_2\\b_3\end{array}\right]\)

Then, the augmented matrix is written as,

\(\left[\begin{array}{ccc|c}1&-3&2&b_1\\-2&5&-1&b_2\\3&-4&5&b_3\end{array}\right]\)

Now, we have to find the row-reduced echelon form of the above matrix. For this apply the formula, R₂→R₂+2R₁, and R₃→R₃-3R₁. And we get,

\(\left[\begin{array}{ccc|c}1&-3&2&b_1\\0&-1&3&b_2+2b_1\\0&5&-15&b_3-3b_1\end{array}\right]\)

Applying R₃→R₃+5R₂, we get,

\(\left[\begin{array}{ccc|c}1&-3&2&b_1\\0&-1&3&b_2+2b_1\\0&0&0&7b_1+5b_2+b_3\end{array}\right]\)

Therefore, the system is consistent if 7b₁+5b₂+b₃=0. So option A is the correct one.

To know more about augmented matrix:

https://brainly.com/question/30403694

#SPJ4

The complete question is -

Let \(A =\left[\begin{array}{ccc}1&-3&2\\-2&5&-1\\3&-4&5\end{array}\right]\) and \(b=\left[\begin{array}{ccc}b_1\\b_2\\b_3\end{array}\right]\).

Determine if the equation Ax = b is consistent for all possible b₁, b₂, and b₃. If the equation is not consistent for all possible b₁, b₂, and b₃, give a description of the set of all b for which the equation is consistent (i.e., a condition which must be satisfied by b₁, b₂, b₃). What can you use this system for?

A) Equation is consistent for all b₁, b₂, b₃. satisfying 7b₁ + 5b₂ + b₃ = 0.

B) Equation is consistent for all possible b₁, b₂, b₃.

C) Equation is consistent for all b₁, b₂, b₃ satisfying -b₁ + b₂ + b₃ = 0.

D) Equation is consistent for all b₁, b₂, b₃ satisfying -3b₁ + b₃ = 0

Answer:

d. J

Step-by-step explanation:

Real numbers are the vast set of numbers that broadly categorize into Rational and Irrationals (and also the Transcendentals, which are irrational too). Every rational number and every irrational number are characteristicly different from each other. Following this order, all rationals and irrationals are real numbers. This order is best represented in the Figure J.

Answer:

J

Step-by-step explanation:

Real numbers are classified into two types,

(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number

(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.

Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.

Real numbers are formed by the union of rational and irrational numbers.

Answer:

Domain: {-10, -8, -6, -4}

Range: {-5, -4, -3, -2}

Step-by-step explanation:

The domain is a set of all the x's. Here you were given points and the first number in the parenthesis is the x in (x, y). Sometimes they will give you a table or a graph. But domain is all the x's gathered together. I put them in order from small to big to be neat. There aren't any repeats here, but if there ever are repeats you don't have to list them multiple times, just once.

The range is all the y's in the points (x, y) its the second number. Gather all the y's in a set, that is the range.

You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon1 gallon of​ gasoline?

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80   =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

Answer:

The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34

Answer:

117,649

Step-by-step explanation:

Good luck! <3

Answer:

7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.

76 stands for the mathematical operation exponentiation of seven by the power of six.

As the exponent is a positive integer, exponentiation means a repeated multiplication:

The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).

Thus, we can answer what is 7 to the 6th power as

7 to the power of 6 = 76 = 117649.

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

there are 11 diffrent sums and the greatest sum is 12

Step-by-step explanation:

Answer:

273/4

Step-by-step explanation:

We know

A company’s stock opened at 68 3/8 dollars per share

68 3/8 = 547/8

The stock dropped 1 7/8 dollars on Monday

1 7/8 = 15/8

547/8 - 15/8 = 532/8

The stock dropped another 2 1/2 dollars on Tuesday.

2 1/2 = 5/2

532/8 - 5/2 = 532/8 - 20/8 = 512/8

On Wednesday, the stock gained back 4 1/4 dollars.

4 1/4 = 17/4

512/8 + 17/4 = 512/8 + 34/8 = 546/8

546/8 = 273/4

So, the answer is 273/4

The coins of each type are 346 nickels, 165 dimes and 173 quarters. when a newspaper carrier has $6.85 charge  by substitution method.

Let x = number of quarters

Then, x-4 = number of dimes and 5x = number of nickels

So, 0.05(5x) + 0.10(x-4) + 0.25x = 6.85

0.6x - 0.4 = 6.85

0.6x = 7.25

x = 12

There are 12 quarters, 8 dimes, and 60 nickels (or)

x = 8 + D(dimes)

D = Q -8

N(nickels) = 2Q

N + D + Q = 685

2Q + Q-8 + Q = 685

4Q = 685+ 8 = 693

Q = 693/4 = over 173

D= over 165

N= over 346

174+ 165 + 346 = 685

the answer is 346 nickels, 165 dimes and 174 quarters.

Learn more about the substitution method here:

https://brainly.com/question/14619835

#SPJ4

The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.

In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).

To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).

Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.

to learn more about  market value click here:

brainly.com/question/28320555

#SPJ11

Jeanine Baker can create 6,188 different selections of the 5 flowers from the 17 available.

Jeanine Baker can create different floral arrangements using combinations. In this case, she has 17 different cut flowers and plans to use 5 of them. The number of possible selections can be calculated using the combination formula:
C(n, r) = n! / (r!(n-r)!)
Where C(n, r) represents the number of combinations, n is the total number of items (17 flowers), and r is the number of items to be chosen (5 flowers).
C(17, 5) = 17! / (5!(17-5)!)
Calculating the result:
C(17, 5) = 17! / (5!12!)
C(17, 5) = 6188
To know more about combination, visit:

https://brainly.com/question/28720645

#SPJ11

The number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

If there are at least 60 of each kind of coin, we can assume that we have four different types of coins, such as quarters, dimes, nickels, and pennies. Let's assume we have x quarters, y dimes, z nickels, and w pennies.

We know that we need to choose a total of 60 coins. Therefore, we have the following equation:

x + y + z + w = 60

We want to find the number of different collections of coins that can be chosen. This is equivalent to finding the number of non-negative integer solutions to the equation above.

Using the stars and bars formula, the number of non-negative integer solutions to this equation is:

(n+k-1) choose (k-1)

where n is the total number of objects (60 in this case) and k is the number of groups we want to divide them into (4 in this case).

So, the number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

To learn more about equivalent visit:

https://brainly.com/question/14672772

#SPJ11

Answer:

125

Step-by-step explanation:

the minus and negative sign basically cancel each other out and/or combine to make + sign for positive

Experimental study: Manipulates variables to observe their impact.

Correlational study: Examines relationships between variables without manipulation.

This study is an example of an experimental study. In an experimental study, the researcher manipulates an independent variable (in this case, the type of breakfast given to the students) and examines its impact on a dependent variable (academic performance). The study involves dividing the participants into two equivalent groups and assigning them to different breakfast conditions.

In this case, the researcher specifically assigned one group to receive a nutritious breakfast and the other group to receive a non-nutritious breakfast. By controlling and manipulating the independent variable, the researcher can observe any potential effects on academic performance, which is the dependent variable. The study design allows for comparisons between the two groups to determine if there are differences in academic performance based on the type of breakfast provided.

On the other hand, a correlational study aims to examine the relationship or association between variables without manipulating them. It does not involve assigning participants to different groups or controlling the independent variable. Instead, it focuses on observing and measuring variables as they naturally occur to assess their potential relationship.

Regarding the second part of your question, a person with strong critical thinking skills and habits of mind is more likely to evaluate information objectively, analyze it systematically, consider multiple perspectives, and make informed and reasoned judgments. They are more likely to engage in logical reasoning, evidence-based thinking, and open-mindedness, leading to more accurate and well-reasoned conclusions.

learn more about "manipulation":- https://brainly.com/question/28190791

#SPJ11

Answer/Step-by-step explanation:

Earns per hour: $5.50

1 time fee : $2

Total = $35

( h - hours)

Equation :

5.50h + 2 = 35

First step is to suntract 2 from each side:

5.50h + 2 - 2 = 35 - 2

Simplify

5.50h = 33

Divide each side by 5.50 to seprate h from the numbers:

5.50h/5.50 = 33/ 5.50

H = 6

ANSWER: 6 hours

We need to use about 10 terms to estimate the value of the series with an error at most 0.000017.

To estimate the value of the convergent series 9 + 15 + ... with an error at most 0.000017, we need to use the formula for the error bound of a convergent series:

|En| ≤ (Mn+1/2) * r^n

where En is the error bound, Mn is the maximum value of the remainder term for the first n terms of the series, r is the common ratio, and n is the number of terms used to estimate the series.

In this case, the series has a common ratio of 5/3 (since each term is 5/3 times the previous term), and the remainder term for the first n terms is:

Rn = (5/3)^n * 9/(3n+3)

To find Mn, we need to find the maximum value of Rn for n terms. This can be done by taking the derivative of Rn with respect to n, setting it equal to zero, and solving for n. However, since we only need an estimate of the number of terms, we can use trial and error to find the smallest n such that Rn ≤ 0.000017:

n = 10: R10 ≈ 0.000013
n = 11: R11 ≈ 0.000021


To learn more about convergent series click here

brainly.com/question/15415793

#SPJ11

Answer:

Tank A fills up faster.

Step-by-step explanation:

Tank A is y = 13x

Tank B is y = 11x

Plz mark as Brainliest!

Answer:

1%

Step-by-step explanation:

Divide the defective amount by the number of items and multiply into 100, to get the percentage as follows:

5/500 × 100 = 1%

Answer:

X = \(\sqrt{21}\) or 4.5825756...

Step-by-step explanation:

\(A^{2} + B^{2} = C^{2}\)

\(10^{2} + x^{2} = 11^{2}\)

\(x^{2} = 11^{2} - 10^{2}\)

\(x^{2} =121-100\)

\(x^{2} =21\)

x = \(\sqrt{21}\)

Hope this helps!

___________

\( \: \)

\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)

x² = (11)² - (10)²

x² = 121 - 100

x² = 21

x = 4,6✔

The derivative of the given function sin(xy)=3x−2y is obtained as;

dy/dx =  3sec(xy)/x - y/x

The given equation is-

sin(xy) = 3x − 2y

Be sure to account for both sides of this argument.

d/dx(sin(xy)) = d/dx(3x − 2y)

Differentiate the equation's left side.

Set the left side equal to a right side to reform the equation.

x.cos(xy).y' + y.cos(xy) = 3

Solve for y'.

y' = 3sec(xy)/x - y/x

Thus, replace y' with dy/dx

dy/dx =  3sec(xy)/x - y/x

Thus, the derivative of the given function sin(x y)=3x−2y is obtained as;

dy/dx =  3sec(xy)/x - y/x

To know more about the differentiation, here

https://brainly.com/question/954654

#SPJ4

The answers are

1. The length of the arc is approximately 35.8 units.

2. The measure of the angle is 120°  

3. The coordinates of the point (-8, 11)

1. To find the length of an arc intercepted by an angle in a circle, you need to know the radius of the circle and the measure of the angle in radians.

The formula for the length of an arc is given by:

length of arc = radius × angle in radians

Plugging in the given values, we get:

length of arc = 6.5 × 5.5 = 35.75

Rounding to the nearest tenth,

The length of the arc is approximately 35.8 units.

2. The measure of the angle formed by two tangents intersecting at a point on a circle is equal to half the measure of the intercepted arc.

So, the intercepted arc, in this case, is 240 degrees, which means the angle formed by the two tangents is:

Angle = 240/2 = 120°

3. The coordinates of the point that partitions a directed line segment into a ratio of 2:3 can be found using the following formula:

=> (x,y) = ((3a + b)/5, (3c + d)/5)

Where (a,c) and (b,d) are the coordinates of the endpoints of the segment.

Plugging in the given values, we get:

(x,y) = ((3×(-10) + (-5)2)/5, (3 (10) + 5(5)/5)

Simplifying, we get:

=> (x,y) = (-8, 11)

Therefore,

The answers are

1. The length of the arc is approximately 35.8 units.

2. The measure of the angle is 120°  

3. The coordinates of the point (-8, 11)

Learn more about Circle at

https://brainly.com/question/15424530

#SPJ4

The percent decrease is equal to 10% after the discount is applied, and the new price of the computer is $1,125 from the original price of the computer is $1,250.

The percent discount is the difference between the original price and the sale price:

100% - (1125/ 1250x 100)% = percent discounted

⇒ 100% - 0.90 x 100 = 100% - 90% = 10%

Thus, the computer was discounted by 10%.

Another way is to find out how must it be sold for:

1125 / 1250 = 0.90 x 100 = 90%

Since it sold for 90% of the original price, then it must have been discounted by 10%.

This second method basically breaks up the first method into two parts. Whichever is easier for you.

We can say,

Percent of decrease = Original price - Discounted price x 100

                                               Original price or Initial price

Percent of decrease =  1250 - 1125 x 100

                                           1250

                                    = 125/1250 x 100 = 10%.

The percent decrease is equal to 10% which the discount represents.

To learn more about the percent decrease visit: https://brainly.com/question/2913116

#SPJ4

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

\(\frac{sin55}{3.5} =\frac{sinx}{4}\) and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

\(sinx=\frac{4sin55}{3.5}\) so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

Answer:

It is 70

Step-by-step explanation:

Khan Academy

Answer:

D

Step-by-step explanation:

d) A number plus eight is five times the number

Keywords within mathematical phrases can be "translated" into an algebraic equation.

Keywords

First, let's define some of these keywords that can help us answer the question.

Writing Out the Expression

In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.

The  equations that have a linear relationship between yhat and the independent variable(s).

1)yhat = 23 + 4w

2)yhat = 2c + 34

3)yhat = 2h

5) hat = 23r + 4

The equations of straight lines have a linear relationship between the dependent variable (y) and the independent variable(s). Among the given equations, the following are equations of straight lines:

yhat = 23 + 4w: This equation has a linear relationship between yhat and w, where 4 is the slope of the line, and 23 is the y-intercept.

yhat = 2c + 34: This equation has a linear relationship between yhat and c, where 2 is the slope of the line, and 34 is the y-intercept.

yhat = 2h: This equation has a linear relationship between yhat and h, where 2 is the slope of the line, and there is no y-intercept.

yhat = 23r + 4: This equation has a linear relationship between yhat and r, where 23 is the slope of the line, and 4 is the y-intercept.

Therefore, the correct answers are:

yhat = 23 + 4w

yhat = 2c + 34

yhat = 2h

yhat = 23r + 4

The remaining equations do not have a linear relationship between yhat and the independent variable(s).

For more questions like Equations click the link below:

https://brainly.com/question/29657983

#SPJ11