what is the reciprocal of 6/9​

Answer:

4:3

Step-by-step explanation:

1m = 100cm

75cm = 75cm

ratio of 1m:75cm

(100cm:75cm)÷25 = 4:3

so 1m:75cm = 4:3

False. A fixed ratio schedule provides reinforcement for a response after a fixed number of responses, not based on a fixed time period.

A fixed ratio schedule provides reinforcement for a response only after a fixed number of responses have been made, not after a fixed time period has elapsed. In contrast, a fixed interval schedule provides reinforcement for a response after a fixed time period has elapsed.

Planning examples include support after certain responses have been submitted. The term flat rate is calculated using a fixed response. For example, if the rabbit were to get stronger when the force was pulled exactly five times, it would get stronger in time FR 5.

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Answer:

Step-by-step explanation:

The given equation 1/5(2x-5)-1/6(3x+4) simplifies to (-1/10)x -1. This is achieved by distributing the fractions in the brackets, combining like terms, converting to a common denominator and then simplifying further.

The given equation is 1/5(2x-5)-1/6(3x+4). We need to simplify the equation step-by-step. First, distribute the fractions inside the brackets to each term.

This gives us (2/5)x - 1 - (1/2)x - 2/3. The next step is to combine like terms.

Therefore, (2/5 - 1/2)x - 1 - 2/3 = (4/10 - 5/10)x - 1 - 2/3 = (-1/10)x - 1 - 2/3.

Then we need to convert fractions to a common denominator to simplify further.

This gives us (-1/10)x - 10/10 - 20/30 = (-1/10)x - 3/3 . This simplifies to (-1/10)x -1 , which is the simplified form of the original equation.

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To find the probability that at least two women out of 15 have osteoporosis, we can use the complement rule and subtract the probability that fewer than two women have osteoporosis from 1.

We can calculate this probability using the binomial distribution formula.

To determine the expected number of women with osteoporosis, we can multiply the total number of women (15) by the prevalence rate (24.5%).

The probability of fewer than two women having osteoporosis can be calculated by summing the probabilities of having zero and one woman with osteoporosis. Using the binomial distribution formula, we can calculate these probabilities and then subtract their sum from 1 to get the probability of at least two women having osteoporosis.

The expected number of women with osteoporosis can be found by multiplying the total number of women (15) by the prevalence rate (24.5%). This represents the average number of women we would expect to have osteoporosis based on the prevalence rate.

By calculating these probabilities and expected values, we can gain insights into the likelihood and expected number of women with osteoporosis in the given sample of 15 women.

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Answer:

Step-by-step explanation:

There are No Solutions

Answer:

85 minutes to complete the whole triathlon.

Step-by-step explanation:

The lowest point of the graph shows 85 minutes.

Hope this helps!

Answer:

According to the graph we can determine that it took Payton C) 85 minutes to finish the swimming and biking parts of the triathlon.

Step-by-step explanation:

We can see where the graph ends, this is where Payton finishes the swimming and biking parts of the triathlon. The lowest point of the graph on the y axis (Her Total Time in Minutes) is 85 minutes, therefore we can determine it took her 85 minutes. Hope this helped :) Good luck!

9(5 - y)

EXPLANATION

Difference means subtraction.

This implies that the difference of 5 and y can be expressed as 5 - y.

Hence, nine times the difference of 5 and y can be represented as:

9(5 - y)

Answer:

x= 2

y= 12

Step-by-step explanation:

2x+10=14

2x=4

x=2

3y-13=23

3y=36

y=12

Answer:

8

for part two 16, 25,100, 144, 10000

Step-by-step explanation:

V=lwb

2*2*2=8

Answer:

225 and 16

Step-by-step explanation:

Answer: 8x = 72

Step-by-step explanation:

and in case you need to go any further at any point, x = 9

Answer:

Step-by-step explanation: if you subtract 17 from 16.15 you will get your answer of 0.85 so if you turn that to a percentage you will get .00085

Answer:

32 children

Step-by-step explanation:

(14 children)/(84 bracelets) = ( x children)/192) Cross multiplication

(14 * 192) / 84 = 32

Answer:divideing by the whole number

Step-by-step explanation:

Answer:

b.430

Step-by-step explanation:

The total possible combination of ordered pairs from the element of the given set is 9

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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The domain of a graph is the set that contains the input values of the graph, hence it is the values of x of the points on the graph, which are:

-5, -4, -3 and -1.

The figure is a right triangle, which has the sides with the following measures:

The area is given by half the multiplication of the side lengths, hence:

Area = 0.5 x 10 x 12 = 60 square units.

The perimeter of the triangle is given by the sum of the outer side lengths, which are obtained using the formula for the distance between two points as follows:

There are four side lengths, hence the perimeter is of:

4sqrt(10).

Meaning that option F is correct.

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Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

Answer:

27,200

Step-by-step explanation:

15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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The probability that the score of a randomly selected examinee is more than 50 is approximately 1, as the minimum possible score is 0 and all examinees' scores are above 50.

The probability that the score of a randomly selected examinee is between 400 and 480 can be found by calculating the area under the normal curve between those scores.

To do this, we need to standardize the scores using the z-score formula and then use the standard normal distribution table or statistical software to find the corresponding probabilities.

For a score of 400, the z-score is :

= (400 - 420) / 32

= -0.625,

and for a score of 480, the z-score is :

= (480 - 420) / 32

= 1.875.

Using the standard normal distribution table or statistical software, we can find the cumulative probabilities for these z-scores and subtract them to find the probability.

To find the probability of a certain score range in a normal distribution, we need to standardize the values by converting them into z-scores. The formula for calculating the z-score is (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we have a normal distribution with a mean of 420 and a standard deviation of 32.

By plugging in the values and calculating the z-scores for the given scores, we obtain -0.625 for 400 and 1.875 for 480.

To find the probabilities, we refer to the standard normal distribution table or use statistical software to look up the cumulative probabilities corresponding to these z-scores. We then subtract the lower cumulative probability from the higher cumulative probability to find the probability between the two scores.

In this case, the probability that the score of a randomly selected examinee is between 400 and 480 can be found by subtracting the cumulative probability of -0.625 from the cumulative probability of 1.875.

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The normal approximation to the binomial distribution may not be appropriate since the number of trials is small (10) and the success probability is relatively far from 0.5 (0.42). The conditions for the normal approximation are not met in this scenario.

Using the normal approximation to the binomial distribution may be appropriate in this case. The normal approximation assumes that the binomial distribution is approximately symmetrical and the sample size is sufficiently large. However, certain conditions should be met for the approximation to be valid:

The number of trials, n, should be large enough (usually greater than or equal to 20) to satisfy the Central Limit Theorem.

The probability of success, p, should not be extremely close to 0 or 1. A rule of thumb is that np and n(1-p) should both be greater than or equal to 5.

In this scenario, the number of trials is 10, which is smaller than the recommended threshold for the Central Limit Theorem. Additionally, the success probability is 0.42, which is relatively close to the extremes of 0 or 1. Therefore, using the normal approximation may not be the most appropriate strategy. Instead, it would be better to use the binomial probability formula or consult binomial tables to compute the probability of 5 or fewer successes directly from the binomial distribution.

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Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

Answer:50400cm2

Step-by-step explanation:lxWxH

Answer:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Step-by-step explanation:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Answer:

A) 22.2

Step-by-step explanation:

I took AMC 8 and got it right. ^^

The coordinates of the centroid are the average values of the \(x\)- and \(y\)-coordinates of the points \((x,y)\) that belong to the region. Let \(R\) denote the bounded region. These averages are given by the integral expressions

\(\dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \dfrac{\displaystyle \iint_R y \, dA}{\displaystyle \iint_R dA}\)

The denominator is just the area of \(R\), given by

\(\displaystyle \iint_R dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} dy \, dx \\\\ ~~~~~~~~ = \int_0^8 |8\sin(2x) - 8\cos(2x)| \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 \left|\sin\left(2x-\frac\pi4\right)\right| \, dx\)

where we rewrite the integrand using the identities

\(\sin(\alpha + \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta)\)

Now, if

\(8(\cos(2x) - \sin(2x)) = R \sin(2x + \alpha) = R \sin(2x) \cos(\alpha) + R \cos(2x) \sin(\alpha)\)

with \(R>0\), then

\(\begin{cases} R\cos(\alpha) = 8 \\ R\sin(\alpha) = -8 \end{cases} \implies \begin{cases}R^2 = 128 \\ \tan(\alpha) = -1\end{cases} \implies R=8\sqrt2\text{ and } \alpha = -\dfrac\pi4\)

Find where this simpler sine curve crosses the \(x\)-axis.

\(\sin\left(2x - \dfrac\pi4\right) = 0\)

\(2x - \dfrac\pi4 = n\pi\)

\(2x = \dfrac\pi4 + n\pi\)

\(x = \dfrac\pi8 + \dfrac{n\pi}2\)

In the interval [0, 8], this happens a total of 5 times at

\(x \in \left\{\dfrac\pi8, \dfrac{5\pi}8, \dfrac{9\pi}8, \dfrac{13\pi}8, \dfrac{17\pi}8\right\}\)

See the attached plots, which demonstrates the area between the two curves is the same as the area between the simpler sine wave and the \(x\)-axis.

By symmetry, the areas of the middle four regions (the completely filled "lobes") are the same, so the area integral reduces to

\(\displaystyle \iint_R dA \\\\ ~~~~ = 8\sqrt2 \left(-\int_0^{\pi/8} \sin\left(2x-\frac\pi4\right) \, dx + 4 \int_{\pi/8}^{5\pi/8} \sin\left(2x-\frac\pi4\right) \, dx \right. \\\\ ~~~~~~~~~~~~~~~~~~~~ \left. - \int_{17\pi/8}^8 \sin\left(2x-\frac\pi4\right) \, dx\right)\)

The signs of each integral are decided by whether \(\sin\left(2x-\frac\pi4\right)\) lies above or below axis over each interval. These integrals are totally doable, but rather tedious. You should end up with

\(\displaystyle \iint_R dA = 40\sqrt2 - 4 (1 + \cos(16) + \sin(16)) \\\\ ~~~~~~~~ \approx 57.5508\)

Similarly, we compute the slightly more complicated \(x\)-integral to be

\(\displaystyle \iint_R x dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} x \, dy \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 x \left|\sin\left(2x-\frac\pi4\right)\right| \, dx \\\\ ~~~~~~~~ \approx 239.127\)

and the even more complicated \(y\)-integral to be

\(\displaystyle \iint_R y dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^8 \left(\max(8\sin(2x),8\cos(2x))^2 - \min(8\sin(2x),8\cos(2x))^2\right) \, dx \\\\ ~~~~~~~~ \approx 11.5886\)

Then the centroid of \(R\) is

\((x,y) = \left(\dfrac{239.127}{57.5508}, \dfrac{11.5886}{57.5508}\right) \approx \boxed{(4.15518, 0.200064)}\)

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .