si se colocaron 16 postes para sostener 385.5m de cable telefonico, ? que distancia hay entre 2 postes?​

Answer:

a

Step-by-step explanation:

the side x looks smaller than 8 m.

The only option smaller than 8 m is a, 5.2 m

Answer:

I think it should be x-360

Step-by-step explanation:

general angle is counter clock wise and and reference angle is clockwise!

ONLY FOR 4th QUADRANT

Step-by-step explanation:

34r < 34,

r < 1 (divide by 34 on both sides)

The best answer here is r = 17/50.

The position of the particle, when it changes direction, is 1.5m. The velocity of the particle when it returns to the position it had at t = 0 is 2.8 m/s (to the right).

A particle's position is given by the equation x=2.1+2.8t−3.6t² with x in meters and t in seconds. This means that the particle's position changes with time.

To determine its position when it changes direction, we need to find the time at which the velocity of the particle becomes zero.

The velocity of the particle is given by the derivative of the position with respect to time, which is:

v=dx/dt = 2.8 - 7.2t

At the point where the particle changes direction, its velocity is zero.

So we can set v=0 and solve for t:

0 = 2.8 - 7.2t => t = 0.389s

Substituting this value of t into the position equation, we can find the position of the particle:

x = 2.1 + 2.8(0.389) - 3.6(0.389)² = 1.5m

To determine the velocity of the particle when it returns to the position it had at t=0,

we can set x=0 and solve for t:0 = 2.1 - 3.6t² + 2.8t => t = 1.167s

The velocity of the particle at this point is given by:v = dx/dt = 2.8 - 7.2t = 2.8 - 7.2(1.167) = -4.28 m/s (to the left)

Therefore, the velocity of the particle when it returns to the position it had at t=0 is 4.28 m/s to the right.  

The position of the particle, when it changes direction, is 1.5m. The velocity of the particle when it returns to the position it had at t = 0 is 2.8 m/s (to the right).

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By evaluating the function on the given domain, we can see that as the values of the domain increase, do the values of the range increase.

Here we have an exponential function:

y = 1.2^x

And we want ot evaluate this on the domain {-2,-1,0,1,2,3}.

To do so, just replace the value of x for these numbers.

if x = -2

y = 1.2^(-2) =0.694

if x = -1

y = 1.2^(-1) = 0.833

if x = 0

y = 1.2^0 = 1

if x = 1

y = 1.2^1 = 1.2

if x = 2

y = 1.2^2 = 1.44

if x = 3

y = 1.2^3 = 1.73

As you can see, as the value of the domain increases also does the value of the range.

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The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer:

x = 95 degrees

Step-by-step explanation:

First find the missing angle next to 142 (we will call it y)

y +142 = 180

subtract 142 from both sides

y = 38 degrees

then we know a triangle must have 180 degrees

so

47+38+x = 180

subtract 47 and 38 from 180

x = 95

hope this helps and makes sense :)

a) x(bar) = 550

n = 50

s = 150

b) We should use the student t distribution because the population standard deviation is unknown and the sample size is not large enough.

c) The  99% confidence interval estimate on the mean of all hotel room rates is: (493.15, 606.85)

d) The 90% confidence interval estimate is: (514.43, 585.57)

e) The 95% confidence interval estimate is: (507.36, 592.64)

In interval estimation, the confidence interval is constructed to show the amount of error that can be made during estimation. It involves adding and subtracting the margin of error from the best point estimate.

a) x(bar) = 550

n = 50

s = 150

The random variable here is the cost per night of a hotel room in San Francisco.

b) We should use the student t distribution because the population standard deviation is unknown and the sample size is not large enough.

c) Use equation below to construct the 99% confidence interval for the mean:

(X(bar)± \(t_\frac{\alpha}{2},_d_f_=_n_-_1\frac{s}{\sqrt{n} }\))

Find the critical value t:

\(t_0_._0_0_5_,_d_f_=_4_9=\) ± 2.68

Plugging values into the formula:

(550 ± 2.68 × \(\frac{150}{\sqrt{50} }\))

(550 ± 56.85)

(493.15, 606.85)

d) Find the critical value t that corresponds to 90% level of confidence and n - 1 degrees of freedom:

\(t_0_._0_0_5_,_d_f_=_4_9=\) ± 1.677

(550 ± 1.677 × \(\frac{150}{\sqrt{50} }\))

(550 ± 35.57)

(514.43, 585.57)

e) \(t_0_._0_2_5_,_d_f_=_4_9=\) 2.01

(550 ± 2.01 × \(\frac{150}{\sqrt{50} }\))

(550 ± 42.64)

(507.36, 592.64)

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The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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Random error is an unpredictable deviation from the true value or expected outcome in a measurement or experiment.

Random error refers to the unpredictable and uncontrollable variations that occur when making measurements or conducting experiments. It is a type of error that introduces inconsistencies and fluctuations in the data, leading to discrepancies between the observed values and the actual values.

Random errors can arise from various sources, such as equipment limitations, environmental factors, or human factors like imprecise readings or variations in technique.

Unlike systematic errors, which are consistent and biased in a particular direction, random errors are characterized by their lack of pattern or regularity. They are typically caused by factors that are difficult to quantify or account for, making it challenging to eliminate them entirely.

However, by taking repeated measurements and applying statistical analysis techniques, researchers can mitigate the impact of random errors and obtain more reliable and accurate results.

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Evidence is used in proofs to support a claim.

It should be noted that evidence simply means a claim that's is used to support a proposition that's it's true.

In this case, evidence is used in proofs to support a claim. On the other hand, counterexample is used to disprove a theory.

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Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

Pls mark me the brainiest thx.

Hope this helps!

Prime numbers are numbers with no factors other than 1 and themselves.

Use the prime factorization method to find the prime number. Factors should be 1 and the number itself.

What is a prime number?

Natural numbers known as prime numbers can only be divided by one (1) and by the number itself. In other terms, prime numbers are positive integers greater than one that only have the number itself and the number's first digit as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are only a few examples.

A number is prime if it only has the factors 1 and itself. Therefore, we may quickly discover a prime number by prime factorising the provided number.

For example take - 11

The prime factorisation of 11 is 1 × 11 since 11 has only two factors 1 and itself, hence it is a prime number.

Some prime numbers in between 1 to 50 are -

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Therefore, a prime number has a factor which is 1 and the number itself.

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The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of f is f′(x)=x2−a2=(x−a)(x+a).

This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

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Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

∴ k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

∴ D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

∴ E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

∴ D' = (15, 5)

∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

This is defined as the ratio of distance to time taken usually in kilometers per hour, miles per hour.

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

How to write equation

Distance Saul biked = 300 kilometers

Number of hours it takes train travel = t

Speed of train travel (kilometers per hour) = r

Speed = Total distance travelled / Time taken

r = 300 / t

Equation that represents how many hours

Make t the subject of formula

r = 300 / t

cross product

r × t = 300

t = 300/r

Therefore,

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

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Answer: I say a dictionary.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of cleaning be x

Then required inequality is:

Solving:

Answer:

x = 10/3

Step-by-step explanation:

3(2x-4) = 8

3*2x + 3*-4 = 8

6x - 12 = 8

6x = 8 + 12

6x = 20

x = 20/6

x = 10/3

Check:

3((2*10/3) - 4) = 8

3(20/3 - 4) = 8

20 - 3*4 = 8

20 - 12 = 8

Answer:

x-intercept(s): (−4,0)(-4,0)

y-intercept(s): (0,−5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for xx. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

Therefore, each angle in the regular polygon has a measure of 135 degrees.

Step-by-step explanation:

Since the polygon is regular, all angles are congruent. Let's call the measure of each angle x.

The sum of the interior angles of a polygon with n sides is given by the formula (n-2) x 180 degrees.

In this case, the polygon has 8 sides, so:

(8-2) x 180 = 6 x 180 = 1080 degrees

The sum of the interior angles is 1080 degrees.

Since all angles are congruent, we can divide the sum by the number of angles to find the measure of each angle:

x = 1080 / 8 = 135 degrees

Answer: 150

Step-by-step explanation:

The polygon has 12 equal sides.

formula for :

each angle = \(\frac{(n-2)180}{n}\)                    where n = number of sides  = 12

each angle  =  \(\frac{(12-2)180}{12}\)

each angle = \(\frac{10(180)}{12}\)

each angle = \(\frac{1800}{12}\)

each angle = 150

Step 1: At the supermarket, I round numbers as I keep track of how much I'm spending to stay on budget. I mentally add up the sum of my purchases to the nearest dollar. Regarding time, I regularly say, "I'm leaving in about 5 minutes" or "dinner will be done in around 10 minutes." When leaving for an appointment, I round up to account for parking and unknown delays, so my appt that is 17 minutes away will be about 20 minutes in my mind. I always round for time estimates.

Step 2: My family reported similar rounding, except when it comes to exercise like running because seconds count!

Step 3: My family and I regularly use rounding when estimating time. We do this without realizing it as we go about our daily activities. We round our expected food purchases as we shop at the supermarket. My parents regularly announce that we are leaving for an event in 10 minutes, when the reality is that it could be 8-12 minutes. We estimate the time it takes to get to activities and appointments, always rounding to a 5 minute interval. We also round for estimated food delivery times when we update each other by saying,"Food should be delivered in 20 minutes." The runners in my family do not round when tracking their times as seconds matter for their personal records.

Answer:

6

Step-by-step explanation:

Multiply by 6 and you can eliminate x or y.

The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.

The formula for difference quotient is expressed as:

\(\frac{f(x+h)-f(x)}{h}\)

Given the function in the question:

f(x) = 4x² - 5x

To solve for the difference quotient, we evaluate the function at x = x+h:

First;

f(x + h) = 4(x + h)² - 5(x + h)

Simplifying, we gt:

f(x + h) = 4x² + 8hx + 4h² - 5x - 5h

f(x + h) = 4h² + 8hx + 4x² - 5h - 5x

Next, plug in the components into the difference quotient formula:

\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)

Therefore, the difference quotient is 8x + 4h - 5.

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(a) The number of people expected to have blood type O+ among 40 randomly selected people  is 14 .

(b) the standard deviation of number of people who have blood type O+ among 40 people is 3.0166 .

In the question ,

it is given that ,

probability that the person has blood group of type O+ is (p) = 0.35

the number of people randomly selected is (n) = 40 people ,

So , Number of people expected to have blood type O+ among 40 randomly selected people = Mean of the binomial distribution .

= n × p

= 40 × 0.35
= 14

So ,The standard deviation of the number of people expected to have blood type O+ among 40 randomly selected people = √(n × p × q)

= √(40 × 0.35 × (1-0.35))

= √(40 × 0.35 × 0.65)

= 3.0166

Therefore , (a) The number of people expected to have blood type O+ among 40 randomly selected people  is 14 .

(b) the standard deviation of number of people who have blood type O+ among 40 people is 3.0166 .

The given question  is incomplete , the complete question is

If the probability that a person has blood type O+ is 0.35 and you have 40 randomly selected people ,

(a) About how many would you expect to have blood type O+ ?

(b) What is the standard deviation of the number of people who would have blood type O+ among the 40 people ?

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Answer:

C

Step-by-step explanation:

think in general

(y + c)² = y² + 2cy + c²

only A and C have a square number as constant term (36 and 81).

and while it is possible to have any real number as c, but the 2cy part needs to fit to the c² part.

6y = 2cy

2c = 6

c = 3

but 3² is 9 and not 36. so, no fit.

25y = 2cy

2c = 25

c = 12.5

but 12.5² is 156.25 and not 200. so, no fit.

18y = 2cy

2c = 18

c = 9

and 9² is indeed 81. so, this fits.

36y = 2cy

2c = 36

c = 18

but 18² is 324 and not 60. so, no fit.

so, only C is a correct answer.