3.- cual es la máxima distancia que pueden recorrer sin cambiar de dirección en una pista de patinaje en forma de rombo, si cada lado mide 26 mts y ka diagonal menor 40 mts ?

Answer:

x:5,x:7

x^2-12x+35

x^2-12x=-35

x^2-12x+6^2=-35+36

(x+6)^2=1

insert a radical anywhere

x+6=1

x=1-6

x=-5. x=5

x=-1-6

x=-7. x=7

The 90% confidence interval for the population proportion is (0.1171, 0.1829).

To calculate the confidence interval, we first need to find the point estimate of the population proportion. The point estimate is the sample proportion which is given by:

p-bar = x/n = 60/400 = 0.15

where x is the number of items that failed the test and n is the sample size.

Next, we need to find the margin of error, which is given by:

ME = z*√(p_bar(1-p_bar)/n)

where z is the z-score corresponding to the confidence level, p_bar is the sample proportion, and n is the sample size.

For a 90% confidence level, the z-score is 1.645 (using a standard normal distribution table). Substituting the values, we get:

ME = 1.645*√(0.15(1-0.15)/400) = 0.0329

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the point estimate:

CI = p_bar ± ME = 0.15 ± 0.0329 = (0.1171, 0.1829)

Therefore, we are 90% confident that the true population proportion of items that will fail the test is between 0.1171 and 0.1829.

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Answer:

  5 days

Step-by-step explanation:

You want to know the amount of time that is 1/3 of 2 weeks and 1 day.

There are 7 days in a week, so 2 weeks and 1 day will be a total of ...

  2·7 +1 = 14 +1 = 15 . . . . days

If this time is split into 3 equal parts, each part is 1/3 of the total.

  1/3 · 15 days = 5 days

Brandon spent 5 days with each of his 3 bro.

Answer:

(-1,1)

Step-by-step explanation:

There is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.

To find the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud, we need to use the formula for the margin of error:

[tex]$$E = z_{\alpha/2}\sqrt{\frac{p(1-p)}{n}}$$[/tex]

where E is the margin of error, [tex]$z_{\alpha/2}$[/tex] is the critical value for the desired confidence level (let's assume 95%, so [tex]$z_{\alpha/2} = 1.96$[/tex]), p is the population proportion of websites experiencing click fraud, and n is the sample size.

We know that p=0.15, so we can plug in the values:

[tex]$$E = 1.96\sqrt{\frac{0.15(1-0.15)}{400}} = 0.05$$[/tex]

So the margin of error is 0.05. This means that there is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.

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Answer:

orthocentre

Step-by-step explanation:

this is the answer to your question

-12 will be the value of the variable x.

The given expression is:

-9 = (-6 +x)/2

Simplifying the expression,

-6+x = -18

x = -18 +6

x = -12

Therefore, the value of the variable x will be -12.

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Hence, the correct answer to the question is: The second pentagon is either an enlargement or a reduction of the first pentagon, depending on the dilation factor.

The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement.The dilation is a transformation in which a figure is resized without changing its shape. It is an enlargement or a reduction of a geometric figure that maintains its similarity.

Therefore, if the first pentagon is dilated, the second pentagon will be an enlarged or a reduced form of the original pentagon.Since it is a dilation, the ratio of the corresponding sides of the pentagon will remain the same. Also, the angles of the pentagon will remain the same. Hence, both the pentagons will be similar to each other. The second pentagon will either be an enlargement or a reduction of the first pentagon. It will also have the same number of vertices and edges as the first pentagon.However, the size of the second pentagon will depend on the dilation factor. If the dilation factor is greater than 1, then the second pentagon will be an enlargement of the first pentagon. If the dilation factor is less than 1, then the second pentagon will be a reduction of the first pentagon.

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EXPLANTION:

1. For a browsing time of 17 minutes, the predicted amount spent can be calculated using the equation of the regression line:

Y = 2 + 0.98X, where X is the browsing time in minutes.

Step-by-step:
Y = 2 + 0.98(17)
Y = 2 + 16.66
Y = 18.66 dollars

The observed value (40.3 dollars) is above the regression line, as it is higher than the predicted amount spent (18.66 dollars).

2. For a browsing time of 14 minutes, the predicted amount spent can be calculated using the equation of the regression line:

Y = 2 + 0.98X.

Step-by-step:
Y = 2 + 0.98(14)
Y = 2 + 13.72
Y = 15.72 dollars

The observed value (10.84 dollars) is below the regression line, as it is lower than the predicted amount spent (15.72 dollars).

3. For a browsing time of 28 minutes, the predicted amount spent can be calculated using the equation of the regression line:

Y = 2 + 0.98X.

Step-by-step:
Y = 2 + 0.98(28)
Y = 2 + 27.44
Y = 29.44 dollars

The observed value (27.2 dollars) is below the regression line, as it is lower than the predicted amount spent (29.44 dollars).

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the probability that there are at most 2 defective components in the box is approximately 0.9044 and the probability of having at most 3 defective components out of 250 boxes is very close to zero.

a) Let X be the number of defective components in a box of 10 components. Then X follows a binomial distribution with n=10 and p=0.01, since the probability of a component being defective is 0.01. We want to find the probability that there are at most 2 defective components in the box, i.e., P(X ≤ 2).

Using the binomial probability formula, we get:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= (10 choose 0) × 0.01⁰ × 0.99¹⁰ + (10 choose 1) × 0.01¹ × 0.99⁹ + (10 choose 2) × 0.01² × 0.99⁸

= 0.90438222

Therefore, the probability that there are at most 2 defective components in the box is approximately 0.9044 (rounded to four decimal places).

b) We want to find the probability of having at most 3 defective components out of 250 boxes, each containing 10 components. Since np = 100.01 = 0.1 < 5 and n × (1-p)=10 × 0.99=9.9 > 5, we can use the normal approximation to the binomial distribution, with mean μ = np = 2.5 and standard deviation σ = √np(1-p) = 1.577.

Let X be the number of boxes with at most 3 defective components. Then X follows an approximate normal distribution with mean μ' = np=2.5250 = 625 and standard deviation σ' = √np(1-p)) = 12.5 × 1.577 = 19.712.

We want to find P(X ≤ 250), which can be written as P(X < 251) since X is a discrete variable. Using the continuity correction, we can approximate this probability as P(X < 251.5). Then we standardize the variable:

z = (251.5 - μ')/σ' = (251.5 - 625)/19.712 = -18.919

Using a standard normal table or calculator, we find that P(Z < -18.919) is a very small number, practically zero. Therefore, the probability of having at most 3 defective components out of 250 boxes is very close to zero.

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Complete Question

factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random a) Find the probability that there are at most 2 defective components in the box b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.

Answer:

The term 2x+4y-2 is a binomial equation.

Step-by-step explanation:

Factoring said equation: 2(x+2y-1)

x intercepts: (1,0)

y intercepts: (0, 1/2)

Answer:

well since there is no math, the first feed that runs out, will be the animal that they have the most of, or the bigger animals. meaning lemurs for multiple or large meaning elephant, or your mother

Step-by-step explanation:

no offense, it's just faster to drive around the world than trying to print a picture of your mom

The list price of the gift basket is $65.20. This can be determined by taking the total charge of the gift basket ($45.20) and subtracting the shipping charge of $5.50. The remaining $39.70 is the discounted amount of the gift basket.

Since the gift basket was discounted by 30%, the original list price can be determined by dividing the discounted amount by 70%, which is 0.7. Then, the list price can be calculated by multiplying the discounted amount by 1.43 (the reciprocal of 0.7). Therefore, the list price of the gift basket is $65.20.

This method of calculating the list price of the gift basket is called reverse-discounting. The process of reverse-discounting involves subtracting the discounted amount from the total charge to get the original list price. This method is useful when the discount rate is known and the total charge is given. It allows for the original list price of the item to be determined quickly and accurately.

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Answer:

Step-by-step explanation:

We can use the formula for exponential growth to solve this problem:

N = N0 * 2^(t/T)

where N is the final number of bacteria, N0 is the initial number of bacteria, t is the time elapsed, and T is the doubling time.

We know that N0 = 80, and T = 5 hours. We want to find t when N = 136.

136 = 80 * 2^(t/5)

Dividing both sides by 80, we get:

1.7 = 2^(t/5)

Taking the logarithm of both sides (base 2), we get:

log2(1.7) = t/5

Solving for t, we get:

t = 5 * log2(1.7) ≈ 3.4 hours

Therefore, it would take approximately 3.4 hours, to the nearest tenth of an hour, until there are 136 bacteria present.

Answer:

Step-by-step explanation:

asdfasdf

The finite population correction factor (FPC) is a factor used when the sample size is more than 5% of the population size. It corrects for the bias that can occur when taking a sample from a finite population.

Applying the FPC to the sample mean results in the standard error for the sample mean being equal to the population standard deviation divided by the square root of the sample size times the FPC.
In other words, the standard error for the sample mean is equal to:
Standard Error = Population Standard Deviation/√(Sample Size*FPC)
The FPC is calculated by taking the reciprocal of the following formula:
FPC = (N-n)/(N-1), where N is the population size and n is the sample size.
In conclusion, applying the FPC to the sample mean reduces the bias that can occur when taking a sample from a finite population, and the resulting standard error for the sample mean is equal to the population standard deviation divided by the square root of the sample size times the FPC.

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75°

Angle properties can help us find the measure of an unknown angle.

Vertical Angles

Before we find the measurement of angle 2, we need to find angle 1. Angle 1 and angle 4 are vertical angles.

We know that 1 and 4 are vertical angles because they are formed by the same lines. Vertical angles are always congruent. This means that if angle 4 is 15°, then angle 1 must equal 15°.

Complementary Angles

Now that we know angle 1, we can find angle 2. Angles 1 and 2 are complementary angles.

We can tell that 1 and 2 are complementary angles because together they form a right angle. Using this information, we can set up an equation.

This shows that angle 2 must equal 75°.

The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600,  0.400. The events in parts (a) and (b) are considered unusual.

The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.

The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.

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_____The given question is incomplete, the complete question is given below:

The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer

Answer:

B

Step-by-step explanation:

The deposit amount need to be paid in option 1 with 20% of the cost is equal to R10,000.

Cost of a tv = R50,000

Option 1.

Deposit amount = 20% of the cost.

Balance to be paid in 36 months

Simple interest = 12% p.a.

Deposit amount

= 20% of R50,000

= 0.2 x R50,000

= R10,000

Now,

Let x be the balance amount that needs to be paid.

x = R50,000 - R10,000

⇒ x = R40,000

Simple Interest = ( Principal × Rate of interest × time ) / 100

Total amount to be paid = Principal + Simple Interest

= R40,000 + (R40,000 x 0.12 x 3)

= R40,000 + R14,400

= R54,400

Therefore, the deposit amount for option 1 as per the given details is equal to R10,000.

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The measure of angle DBC based on the information given will be 115°.

A circle is a geometric shape that consists of all the points in a plane that are equidistant from a fixed point called the center. The distance between any point on the circle and the center is called the radius. A circle can also be defined as the set of all points that are a fixed distance away from the center point.

The total circle is 360 degrees.  The sum of the arcs of the circle is 360

Arc DC = 360 - Arc CB - Arc BC

DC = 360 -30-100

DC =230

Inscribed Angle =1/2 Intercepted Arc

<DBC = 1/2 CD

<DBC = 1/2 (230)

          = 115

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Answer:

C

Step-by-step explanation:

Iron is required for the production of hemoglobin, which carries oxygen in red blood cells. It is also necessary for the functioning of many enzymes involved in energy metabolism.

The correct answer is (B) magnesium. Magnesium is a cofactor for some enzymes and is a mineral whose primary route of excretion is through the feces and trace amounts in the urine.

What is a cofactor?

A cofactor is a non-protein chemical that helps enzymes function correctly. It can be a metal ion or a small organic molecule. Cofactors work in tandem with the enzyme's active site to help catalyze reactions. Enzymes are protein molecules that assist in biochemical reactions, with each enzyme being specific to a certain reaction. Enzymes act as a catalyst by lowering the energy barrier required for a reaction to occur.

Magnesium is a cofactor for many enzymes that help to regulate nerve and muscle function, as well as glucose metabolism. It is needed for the production of proteins, DNA, and RNA, and it is a vital component of bone health. Magnesium is also necessary for the regulation of heart rhythm and blood pressure. Magnesium deficiencies can lead to muscle weakness, tremors, and seizures. The mineral magnesium's primary route of excretion is through the feces, with trace amounts being excreted in the urine.Calcium is an essential mineral that is involved in the formation and maintenance of bones and teeth, as well as blood clotting, nerve function, and muscle contraction.

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B. F(y) = 1, 2 ≤ y

C. P(8000 < Y < 12000) = 1 - 0.4 = 0.6

D. P(Y > 15000) = 1 - 1 = 0

A detailed explanation of the answer.

A. The graph of the probability density function, f(y), is shown below:

B. The cumulative probability distribution function, F(y), is given by:

F(y) = 0, 0 ≤ y < 1

F(y) = (y-1)/2, 1 ≤ y < 2

F(y) = 1, 2 ≤ y

The graph of F(y) is shown below:

C. The probability that the station will pump between 8000 and 12,000 gallons in a particular month is calculated by subtracting the cumulative probability at 8000 (0.4) from the cumulative probability at 12,000 (1):

P(8000 < Y < 12000) = 1 - 0.4 = 0.6

D. Given that the station pumped more than 10,000 gallons in a particular month, the probability that the station pumped more than 15,000 gallons during the month is calculated by subtracting the cumulative probability at 10,000 (1) from the cumulative probability at 15,000 (1):
P(Y > 15000) = 1 - 1 = 0

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Answer:

A. The initial height, h, in feet, of the object.

Answer:

A The initial height, h, in feet, of the object.

Step-by-step explanation:

Let t = 0

h(t) = -16t ² + 110t + 72

h(0) = -16(0)² + 110 × 0 + 72

h(0) = 72

The height at time zero is 72.

72 is the initial height.

Answer: A The initial height, h, in feet, of the object.

Work Shown:

A = P*(1+r/n)^(n*t)

A = 2658*(1+0.09/4)^(4*5)

A = 2658*(1+0.0225)^(20)

A = 2658*(1.0225)^(20)

A = 2658*1.56050920068472

A = 4147.83345541997

A = 4147.83

There was 88% increase in maintenance and repair costs from the first year to the second year. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental operations, often referred to as "arithmetic operations", are thought to be able to properly represent all real numbers. The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.

We are given that during the first year she owned her car, Barbara spent $732 on repairs and maintenance and she  spent $1,377 the second year she owned the car.

So, the more amount she spent in the second year is obtained using subtraction operation which gives:

⇒ $1,377 - $732

⇒ $645

Now, the percentage increase is

⇒ $645 ÷ 7.32

⇒ 88.11%

Hence, there was 88% increase in maintenance and repair costs from the first year to the second year.

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Answer:

remember, in order to calculate the weight on earth, we need to multiply the mass of the object with the force of Gravity (9.8 m/s^2 on earth)

so, her weight would be:

48 x 9.8 = 470.4 >>>>>>> Will be 470 if we round it to the nearest whole number.

Step-by-step explanation: Hope this helps. Mark me brainliest!! :)))

Answer: 470

Step-by-step explanation: