David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that
group of 18 people will be randomly picked for a free lesson of a Tahitian dance.
a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (Round your answer to 4 dec
places.)

The correct option of the given statement "Janice's funds to triple if she has $5,000 invested in a bank that pays 9.4% annually" is 11.86 years.

To solve the problem, we can use the formula for the future value of a single sum.

FV = PV (1 + i)ⁿ

Where,

PV is the present value of the investment

"i" is the annual interest rate

n is the number of years

FV is the future value of the investment.

So, we can say that the future value (FV) of Janice's investment will be 3 times her present value (PV). Thus,

FV = 3 PV

    = 3 × 5,000

    = $15,000

Now, we can substitute the given values in the formula:

FV = PV (1 + i)ⁿ

15,000 = 5,000(1 + 0.094)ⁿ

Dividing both sides by 5,000, we get:

3 = (1 + 0.094)ⁿ

Taking the logarithm of both sides:

log 3 = log (1 + 0.094)ⁿ

log 3 = n log (1 + 0.094)

n = log 3 / log (1 + 0.094)

n = 11.86 years

Therefore, it will take approximately 11.86 years for Janice's funds to triple.

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Answer:

45??!

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

If there were 15 bunnies 5 were females so there is 10 men and if each female had 5 babies each then that would be 25 babies plus the 10 men should be 35

The probability that a basketball player makes all four of his free throws when the probability of making one is 80% is 0.4096.

This is calculated using the binomial probability formula, which states that the probability of k successes in n trials is given by the following:

P(k successes in n trials) = \((n!/(k!(n-k)!))\timespk(1-p)(n-k)\)

In this case, the probability of making a single free throw is 80% (0.8),

so we can plug this into the formula.

We know that the player is taking 4 free throws, so k is 4 and n is also 4.

Plugging these values into the formula, we get:

P(4 successes in 4 trials) = \((4!/(4!(4-4)!))\times 0.84(1-0.8)(4-4) = 0.4096\)

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There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.

Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.

Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.

If you have a specific case or sport in mind, I can try to provide you with more information on that topic.

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Answer:

multiply each coordinate by 2

Step-by-step explanation:

your welcome

Answer:

square and circle

Step-by-step explanation:

it will always be equal

im also not so good at this stuff so bear with me

Answer:

25

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

7^2=49

24^2=576

576+49=625

Sqrt 625=25

Answer:

b and d and e

Step-by-step explanation:

they're divisible by measurements of A and give the same scalar

Step-by-step explanation:

We know that, triangle area is L = 1/2bh

L = 1/2(76)(45)

L = (38)(45)

L = 1710 cm²

Subject : Mathematics

Level : ES

Chapter : 2D Geometry

It is appropriate to take a pulse by counting the heart rate for 30 seconds and multiplying by two when a rapid or irregular pulse is suspected, or when it is difficult to count the pulse for a full minute.

Counting the heart rate for a full minute is the most accurate way to determine the heart rate. However, there are situations when it may be more appropriate to count the heart rate for 30 seconds and multiply by two.

For example, if a person's pulse is rapid or irregular, it may be difficult to accurately count the pulse for a full minute. In such cases, it may be more appropriate to count the pulse for 30 seconds and multiply by two to get an estimate of the heart rate.

Another situation where it may be appropriate to count the pulse for 30 seconds is when time is limited, such as in an emergency situation. In such cases, counting the pulse for 30 seconds and multiplying by two can provide a quick estimate of the heart rate.

However, it is important to note that counting the pulse for 30 seconds and multiplying by two may not be as accurate as counting the pulse for a full minute.

Therefore, if possible, it is recommended to count the pulse for a full minute to obtain the most accurate measurement of the heart rate.

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The probability of observing between 35 and 42 successes is X.XXXX.

To calculate the probability of observing between 35 and 42 successes, we need to use the normal distribution.

Step 1: Calculate the z-scores for the lower and upper limits.

For the lower limit of 35 successes:

z_lower = (35 - (100 * 0.40)) / √(100 * 0.40 * (1 - 0.40))

For the upper limit of 42 successes:

z_upper = (42 - (100 * 0.40)) / √(100 * 0.40 * (1 - 0.40))

Step 2: Look up the corresponding probabilities from the standardized normal distribution table.

Using the z-scores from Step 1, we find the cumulative probabilities:

P(Z ≤ z_lower) = Value from the table (denoted as X)

P(Z ≤ z_upper) = Value from the table (denoted as Y)

Step 3: Calculate the probability of observing between 35 and 42 successes.

P(35 ≤ X ≤ 42) = P(Z ≤ z_upper) - P(Z ≤ z_lower) = Y - X

Note: The exact values for X and Y need to be obtained from the cumulative standardized normal distribution table using the respective z-scores.

Please refer to the provided cumulative standardized normal distribution table to find the values of X and Y and substitute them in Step 3. Then round the final probability to four decimal places.

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Step 1: \(6.3^2+x^2=15.4^2\)

Step 2: \(x^2=15.4^2-6.3^2\)

Step 3: \(x=\sqrt{15.4^2-(6.3)^2}\)

Step 4: \(x=14.05\)

Answer: Once spliting and sharing the lasagna, there will be 3 1/2 or 3.5 left. :)

Answer:

Step-by-step explanation:

32/40

=0.8

so it's 20% off since it's a decay.

Answer: B and C

Step-by-step explanation: Hope this help :D

Answer:

y= mx+c

-3=2/5×-2+c

-3+4/5=c

c=-11/5

y=2/5x-11/5

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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The upper limit of the tolerance 43/4 plus or minus 1/64 is 11.078125.

A tolerance is a specified range within which a measurement or dimension is expected to be. In this case, the tolerance is given as 43/4 plus or minus 1/64. To find the upper limit of the tolerance, we add the maximum allowable deviation of 1/64 to the nominal value of 43/4, which gives us:

43/4 + 1/64 = 11.078125

Therefore, the upper limit of the tolerance is 11.078125.

This means that any value within the range of 43/4 plus or minus 1/64 is acceptable, as long as it does not exceed this upper limit.

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The general solution of the given differential equation is y = C1e^(-8/3x) + C2xe^(-8/3x), where C1 and C2 are constants of integration.

To find the general solution of the differential equation 9y'' + 48y' + 64y = 0, we can assume a solution of the form y = e^(rx), where r is a constant to be determined.

Taking the first and second derivatives of y with respect to x, we have:

y' = re^(rx)

y'' = r^2e^(rx)

Substituting these derivatives into the differential equation, we get:

9(r^2e^(rx)) + 48(re^(rx)) + 64(e^(rx)) = 0

Factoring out e^(rx) and dividing through by e^(rx), we obtain the characteristic equation:

9r^2 + 48r + 64 = 0

To solve this quadratic equation, we can apply the quadratic formula:

r = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 9, b = 48, and c = 64. Substituting these values into the quadratic formula, we have:

r = (-48 ± √(48^2 - 4964)) / (2*9)

r = (-48 ± √(2304 - 2304)) / 18

r = -48 / 18

r = -8/3

Since we have repeated roots (r1 = r2 = -8/3), the general solution of the differential equation is:

y = C1e^(r1x) + C2xe^(r2x)

Substituting the values of r1 and r2, we have:

y = C1e^(-8/3x) + C2xe^(-8/3x)

Therefore, the general solution of the given differential equation is y = C1e^(-8/3x) + C2xe^(-8/3x), where C1 and C2 are constants of integration.

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We want to see which ordered pair is a solution for the given line. We will see that none of the points is a solution for the given equation.

So, if you have a graph this is rater easy.

In a point (x, y) the first value represents the horizontal displacement and the second represents the vertical displacement.

So, to see if the points are solutions of the line, you just need to see if the point lies on the graphed line.

Below you can see the graph, there you also can see all the given points.

There you can see that none of the given points lie on the line, so none of these is in the solution set of the line (you can also check this by evaluating the equation in the given points).

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There appears to be a positive correlation between shoe size and grade point average in Professor Walker's class, suggesting that students with larger shoe sizes tend to have higher GPAs.

The observation made by Professor Walker suggests a relationship between shoe size and grade point average. A positive correlation means that as one variable (shoe size) increases, the other variable (GPA) also tends to increase. In this case, the observation indicates that students with larger shoe sizes tend to have higher GPAs. However, it is important to note that correlation does not imply causation.

It is possible that the observed relationship is coincidental or influenced by other factors. Factors such as age, gender, or socioeconomic status could be associated with both shoe size and academic performance, leading to a spurious correlation. To establish a definitive causal relationship, further research and analysis would be required to account for confounding variables and determine the underlying mechanisms, if any, between shoe size and GPA.

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Answer:

x = 50, y = 70, z = 60

Step-by-step explanation:

z = 60

60 + 50 + y = 180

110 + y = 180

y = 70

70 + x + 60 = 180

130 + x = 180

x = 50

To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.

The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:

PV = FV / (1 + r/n)^(n*t)

In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).

Using the formula and substituting the given values:

PV = 26,000 / \((1 + 0.06/2)^(2*1)\)

PV = 26,000 / \((1.03)^2\)

PV = 26,000 / 1.0609

PV ≈ $24,490.92

Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.

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Answer:

2.83

Step-by-step explanation:

Can I have Brainliest?

Answer:

If you see the little square on the side maybe try to measure it and keep putting it on top and see how many of then till the top. (if you knwo what i mean )

Step-by-step explanation:

I am SUPER sorry if you get it wrong :(

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

Here, we have,

I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.

I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.

The slope represents the rate of change arm span based on height. The y intercept is the arm span.

Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

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complete question:

There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.