how can we represent kristin's height above the ground (in meters) when she has traveled 49.71 meters around the ferris wheel?

If the margin of error for the survey was 3.5 percentage points with confidence. What this means is: There is 85​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.205 and 0.275.

Using this formula

Confidence interval= Population proportion ± Margin of error

Where:

Population proportion=24%

Margin of error=3.5%

Let plug in the formula

Confidence interval=(24%-3.5%), (24%+3.5%)

Confidence interval=0.205,  0.275

Therefore If the margin of error for the survey was 3.5 percentage points with confidence. What this means is: There is 85​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.205 and 0.275.

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Answer:

45

Step-by-step explanation:

The mean value of the Poisson distribution is μ = λ(1) = λ.

A Poisson process with a rate λ has the following properties:

The number of arrivals within a time interval is Poisson distributed.

The arrival rate is constant across time.

The number of arrivals in the one-time interval is independent of the number of arrivals in any other disjoint time interval.

The mean value of the Poisson distribution is given by μ = λt where λ is the arrival rate and t is the time interval. Here, t = 1 hour.

Hence the mean value of the Poisson distribution is μ = λ(1) = λ.

Therefore, the mean of the Poisson process with a rate λ is λ. Hence the required answer is λ.

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Option C is the correct answer. The 95% confidence interval is (22.12,27.48)

A confidence interval is defined as the mean of the estimation of the plus and minus is the variation in estimation, and if the confidence interval does not include the value of zero effect, then it can be determined as the significant result.

It also embraces the value of no difference between treatments that are indicating to the treatment under investigation that is not significantly different from the control.

The given data is:

Significance level:

\(α=1-0.95=0.05\)

Sample size  n= 8, so we use a t-test.

Critical values using t-distribution:

\( \frac{t_{n} - 1 \alpha }{2} = t_{7} .0.025 = 2.365\)

Sample mean,

\(x=24.8\)

Standard deviation,

\(σ=3.2 hours\)

The confidence interval for population means is given by:-

\(x±tₙ₋₁,α/₂σ/√n\\

24.8±(2.365)32/√8 \\

24.8±2.6756 \\

24.8±2.68 \\

24.8-2.68, 24.8+2.68 =22.12,27.48\)

Hence, the 95% confidence interval, is normally distributed in the interval of (22.12, 27.48)

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Answer:

2x+3=-13

x=5

Step-by-step explanation:

it says 2 times a number which would be the 2x, and it says the sum of that and 3 which would be 2x+3 and it says is 13. 2x+3=13

now solving it

2x+3=13

subtract 3 from both sides

2x=10

and divide 2 from both sides

x=5

Answer:

Equation: 2n+3 = -13 Number: -8

Step-by-step explanation:

Ok so, it states the sum of twice a number and 3 equals -13. The question states to consider the number as "n" so the equation is 2n + 3 = -13.

Subtract 3 on both sides. Now . you have 2n = -16.

Divide 2 on both sides.

n = -8

Answer: they will get 27 each and their will be 13 left over

Step-by-step explanation:

Answer:

T=2

Step-by-step explanation:

5x2=10

10+2=12

Could I please have BRAINLIEST.

Answer:

Step-by-step explanation:

The question is a little hard to interpret. I hope this is what you wanted.

Let the small number be \(x\), so the greater number will be \((x+1)\).

the smaller of two consecutive numbers is doubled and added to the greater gives:

                            \(2x+(x+1)=3x+1\)

The total will be \(3x+1\) if the smaller number is \(x\).

The direct variation equation in the form x and y is y = 7.25x

As per the given data, the cost of renting a scooter y varies directly with the number of hours the scooter is rented x.

Suppose it costs $21.75 to rent the scooter for 3 hours.

Here we have to determine a direct variation equation in the form of y.

The renting cost (y) is directly proportional to the hours (x).

y ∝ x

y = kx.....(1)

Here k is known for the proportionality constant

From the given information we can find the value of k.

21.75 = k (3)

k = \($\frac{21.75}{3}\)

k = 7.25

Now we have to substitute the value of k in the equation (1)

We get:

y = 7.25x

Therefore a direct variation equation is y = 7.25x.

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Answer:

v = − 1 or v = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

\(v^{2}\) − 2v = 3

Step 1: Subtract 3 from both sides.

\(v^{2}\)  − 2v − 3 = 3 − 3

\(v^{2}\)  − 2v − 3 = 0

Step 2: Factor left side of equation.

( v + 1 ) ( v − 3 ) = 0

Step 3: Set factors equal to 0.

v + 1 = 0 or v − 3 = 0

v = −1 or v = 3

Hope it helps

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Thank you

Answer:

x= 15

Step-by-step explanation:

All sides of a rhombus are equal so AD = CD

2x+10 = 4x-20

Subtract 2x from each side

2x+10-2x = 4x-20 -2x

10 = 2x-20

Add 20 to each side

10+20 = 2x-20+20

30 = 2x

Divide by 2

30/2 = 2x/2

15 =x

\( \longmapsto \: 2x + 10 = 4x - 20\)

\( \longmapsto \: 2x - 4 x= - 20 - 10\)

\( \longmapsto \: - 2x = - 30 \)

\( \longmapsto \: x=15 \)

Answer:

First, calculate the amount of sales tax by multiply the percent tax times the total cost:

0.07×600 =42

Next, add the amount of tax to the price of the computer:

600+42=642

$0.45792 more is she spending if she purchases the items in the city where she lives.

Given that, Jen purchased the items shown on the table. In the city she lives in, the sales tax rate is 7.15%. In another city, the sales tax rate is 6.35%.

We need to find out how much more is she spending if she purchases the items in the city where she lives.

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Now, the cost of the goods she purchased=11.99+35.50+6.75+3.00

=$57.24

The sales tax rate is 7.15%.

So, the sales tax=7.15% of 57.24

=$4.09266

The sales tax rate is 6.35%.

So, the sales tax=6.35% of 57.24

=$3.63474

Now, 4.09266-3.63474=$0.45792

Therefore, $0.45792 more is she spending if she purchases the items in the city where she lives.

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Answer:

50%

Step-by-step explanation:

50%

$20=50%

$20 x 2= $40

The mean outcome for these 10 games with a spread between 3.5 and 6.5 is 4.95.

To find the mean of the outcomes of games with a spread between 3.5 and 6.5, we need to know the outcomes of all the games within that range.

Assuming that we have a set of data containing the outcomes of all games with a spread between 3.5 and 6.5, we can calculate the mean by summing up all the outcomes and dividing by the total number of games.

For example, let's say we have the following outcomes for 10 games with spreads between 3.5 and 6.5:

Game 1:  4.5

Game 2: 5.5

Game 3: 6.5

Game 4: 4.0

Game 5: 3.5

Game 6: 5.0

Game 7: 6.0

Game 8: 3.5

Game 9: 4.5

Game 10: 5.5

To find the mean outcome, we add up all the outcomes and divide by 10:

(4.5 + 5.5 + 6.5 + 4.0 + 3.5 + 5.0 + 6.0 + 3.5 + 4.5 + 5.5) / 10 = 4.95

Therefore, the mean outcome for these 10 games with a spread between 3.5 and 6.5 is 4.95.

It's important to note that this calculation assumes that all the games within the given spread are equally represented in the dataset, and that there are no significant outliers or anomalies that may skew the mean outcome.

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/////////////nvm///////////

\(y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2\)

Simply move -2 to another side.

\(y=-\frac{x}{3}-2+2\)

Distribute -1/3 in (x+6)

\(y=-\frac{x}{3}\)        ---> Answer

Answer:

x + 3y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - \(\frac{1}{3}\) (x + 6) ← distribute

y - 2 = - \(\frac{1}{3}\) x - 2 ( add 2 to both sides )

y  = - \(\frac{1}{3}\) x ( multiply through by 3 to clear the fraction )

3y  = -  x ( add x  to both sides )

x + 3y = 0 ← in standard form

The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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The equation of the absolute value graph that has been horizontally compressed by a factor of (1)/(2) and shifted down 8 units is y = –|2x| – 8.

Step-by-step explanation:

Recall that the general form of an absolute value function is given as y = |x| with x being the input variable.

The graph of y = |x| can be transformed to produce other absolute value graphs.

Horizontal compression of a graph can be achieved by multiplying the x-value by a factor. When we multiply the x-values by a factor, we get a horizontal compression.

Hence, the horizontally compressed absolute value equation is given as y = |x/k|.

Thus, the horizontally compressed absolute value equation that has been compressed by a factor of (1)/(2) is given by

y = |x/ (1/2)|y = |x × 2|y = |2x|

We have to shift the equation downward 8 units.

To do this, we simply subtract 8 from the right side of the equation, as shown below:

y = |2x| – 8

We add a negative sign to get the equation with the negative sign in front:

y = –|2x| – 8

Therefore, the equation of the absolute value graph that has been horizontally compressed by a factor of (1)/(2) and shifted down 8 units is y = –|2x| – 8.

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Answer:195

Step-by-step explanation:

516+489=1005

1200-1005=195

The definition of the piecewise function is given as follows:

A piecewise function is a function that has different definitions, depending on the input.

Researching this problem on the internet, for x equal or greater than -3 and less than -1, the function is a line with a slope of 1 that goes through (-3,0), hence the definition is found as follows:

y = x + b

0 = -3 + b

b = 3

Then:

\(f(x) = x + 3, -3 \leq x < 1\).

For x between -1 and 1, inclusive, the function is constant at 5, hence the definition is:

\(f(x) = 5, -1 \leq x \leq 1\).

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Answer:

36 : 6 and -6

12 = \(2\sqrt{3} , -2\sqrt{3}\)

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = \(2^2*\sqrt{3} *\sqrt{3}\)

\(\sqrt{12} = 2\sqrt{3}\)

also

12 = \(-2\sqrt{3} *-2\sqrt{3}\)

\(\sqrt{12} = -2\sqrt{3}\)

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

\(\sqrt{1.96} = 14/10 \ or -14/10\)

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of  0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

\(\sqrt{400} = 20\\\sqrt{400} = -20\\\)

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

\(\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6\)

In each toss, the expected value is the probability of winning multiplied by the amount won, minus the probability of losing multiplied by the amount lost. The probability of winning is 1/2, or 0.5, and the probability of losing is also 1/2, or 0.5. The amount won is $2, and the amount lost is $0.50. So the expected value of each toss is 0.5 * $2 - 0.5 * $0.50 = $0.75.

Therefore, after 21 tosses, you would expect to gain an amount equal to 21 * $0.75 = $<<21*0.75=15.75>>15.75.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

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Answer:

Answer: The Equation of the Line Passing through the given Points (-1, 5), (1, 3) is x + y = 4.

Step-by-step explanation:

Given: (x1, y1) = (-1, 5) and (x2, y2) = (1, 3)

Let's calculate the slope below,

According to the Slope Formula,

(m) = (y2 − y1) / (x2 − x1)

Substituting the values,

Slope(m) = (3 - 5) / (1 - (-1))

m = -2/2

m = -1

The point-slope formula states (y − y1) = m (x − x1).

Substituting the values of (x1, y1) = (-1, 5) and m = -1, we get,

(y - 5) = -1 × (x - (-1))

⇒ y - 5 = - x - 1

⇒ x + y = 4

Hence, the equation of the line passing through the given points (-1, 5), (1, 3) is x + y = 4.

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Answer:

\( \frac{ - 1 - 5}{3 + 1} = \frac{y - 5}{x + 1} \\ \frac{ - 6}{4} = \frac{y - 5}{x + 1} \\ \frac{ - 3}{2} = \frac{y - 5}{x + 1} \\ - 3(x + 1) = 2(y - 5) \\ - 3x - 3 = 2y - 10 \\ 2y = - 3x - 7 \\ \boxed{y = - \frac{3}{2} x + \frac{7}{2} } \\ alternative:\ method\\ y = mx + c \\ 5 = - m + c...(1) \\ - 1 = 3m + c...(2) \\ (2) - (1) \\ - 6 = 4m \rightarrow \: m = - \frac{6}{4} = - \frac{3}{2} \\sub \: in...(1) \\ 5 = - ( - \frac{3}{2} ) + c \\ c = 5 - \frac{3}{2} \\ c = \frac{7}{2} \\\boxed{y = - \frac{3}{2} x + \frac{7}{2}}\)

The two planes will meet 6 hours after they start, i.e. at 3 pm.

Two planes leave at 9 am from airports that are 2700 miles apart and fly towards each other at a speed of 200 mph and 250 mph. At what time will they pass each other?

Let's assume the planes A and B leave the two airports that are 2700 miles apart at the same time. The speed of the first plane is 200 mph and the speed of the second plane is 250 mph. To find out the time at which they pass each other, we need to calculate the distance between them and divide it by the sum of their speeds.

Distance traveled by the first plane in time t1 is equal to 200t1.Distance traveled by the second plane in time t2 is equal to 250t2.The distance covered by the first plane and the second plane together will be 2700 miles.Time taken by both the planes to meet can be calculated as below:

t1 + t2 = 2700/(200+250) = 6 hoursAs both the planes start at 9 am, they will meet each other after 6 hours of their journey. Therefore, they will pass each other at 3 pm. This is the required answer. Explanation: So, the two planes will meet 6 hours after they start, i.e. at 3 pm.

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Answer:

Β. ΔEFH, ΔEGF, ΔFGH

Answer:

A) (2,5)

B) (4,4)

C) (3,2)

D) (3,-1)

E) (1,-3)

F) (-1,-3)

G) (-3,-1)

H) (-3,2)

I) (-4,4)

J) (-2,5)

K) (-1,4)

L (1,4)

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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