What is 12xq+35x14/455

x=multiply
+= addition
/= divide

No, because the SAS Congruence Theorem requires two pairs of congruent sides and one congruent angle.

No, because the SAS Congruence Theorem requires two pairs of congruent sides and one congruent angle. To use the SAS Congruence Theorem to prove that GHF =KHJ, it would be necessary to have information about the lengths of the corresponding sides and the measure of the included angle in each triangle. Without this information, it is not possible to prove that GHF =KHJ using the SAS Congruence Theorem. To prove that GHF =KHJ using this theorem, it would be necessary to show that the two sides GK and KH are congruent, the two sides HF and HJ are congruent, and the included angle GHF is congruent to the included angle KHJ.

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The standard deviation of the population affects the width of the confidence interval for the population mean. A larger standard deviation results in a wider confidence interval, while a smaller standard deviation results in a narrower confidence interval.

The standard deviation of the population plays a crucial role in determining the width of the confidence interval for the population mean. The formula for the confidence interval for the population mean is:

CI = X ± Z × (σ / sqrt(n))

where:

CI is the confidence interval

X is the sample mean

Z is the Z-score corresponding to the desired level of confidence

σ is the standard deviation of the population

n is the sample size

As you can see from the formula, the width of the confidence interval is directly proportional to the standard deviation of the population. The larger the standard deviation, the wider the confidence interval. This means that if the standard deviation of the population is large, then we need a larger sample size or a lower confidence level to obtain a narrower confidence interval. On the other hand, if the standard deviation of the population is small, we can obtain a narrower confidence interval with a smaller sample size or a higher confidence level.

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(a) To determine if the city's shelters with a capacity of 350 will be enough for abused women on 95% of all nights, we need to analyze the probability distribution of the number of women seeking shelter.

Let's assume that the number of women seeking shelter follows a Poisson distribution with a mean of λ, representing the average number of women seeking shelter per night. For a Poisson distribution, the variance is also equal to λ.

To find the number of shelter openings needed for 95% of all nights, we need to calculate the value of λ such that the cumulative probability of the Poisson distribution is 0.95 or higher.

Using a statistical software or tables, we can find the value of λ that corresponds to a cumulative probability of 0.95. Let's assume this value is λ*.

If λ* is greater than 350, it means that the capacity of 350 shelter openings will not be enough for 95% of all nights. In that case, additional shelter openings would be needed.

(b) Given that the current capacity is only 220 openings, we can calculate the percentage of nights that the number of abused women seeking shelter will exceed the current capacity.

Using the Poisson distribution with a mean of λ*, which represents the average number of women seeking shelter per night (as calculated in part (a)), we can calculate the cumulative probability of the number of women exceeding the current capacity of 220 openings.

This cumulative probability represents the percentage of nights when the number of abused women seeking shelter will exceed the current capacity of 220 openings.

Again, using statistical software or tables, we can find the cumulative probability associated with λ* and calculate the percentage of nights that the number of abused women seeking shelter exceeds the current capacity.

Please note that the exact calculations would require specific values of λ* and the cumulative probabilities, which would need to be obtained using statistical tools or tables for the Poisson distribution.

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The probability of drawing the first yellow ball on the eighth draw is 1/2772.

The probability of drawing a yellow ball on the eighth draw is the probability of drawing 7 non-yellow balls followed by a yellow ball.

The probability of drawing a non-yellow ball on the first draw is 7/12 since there are 7 non-yellow balls out of a total of 12 balls in the bag. After the first non-yellow ball is drawn, there will be 6 non-yellow balls left out of a total of 11 balls. So the probability of drawing a non-yellow ball on the second draw is 6/11. Continuing in this manner, the probability of drawing 7 non-yellow balls in a row is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6)

Now, there are 5 yellow balls left out of a total of 5 + 7 + 3 = 15 balls. So the probability of drawing a yellow ball on the eighth draw is 5/15.

Therefore, the probability of drawing the first yellow ball on the eighth draw is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (5/15)

Simplifying this expression, we get

(7 × 6 × 5 × 4 × 3 × 2 × 1 × 5) / (12 × 11 × 10 × 9 × 8 × 7 × 6 × 15)

which simplifies to:

1/2772

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The given question is incomplete, the complete question is:

A bag contains 3 red balls, 4 green balls, and 5 yellow balls. If balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw?

Answer: 47.4 liters

Step-by-step explanation:

From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.

The number of liters it'll take to fill Samuels car will be:

= 12.5/0.264

= 47.4 litres

The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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Answer: 8,600

Zach's gross capital gain can be calculated as follows:

Total proceeds from selling the stock = 200 shares x $43/share = $8,600

Total cost of buying the stock = 200 shares x $21.35/share = $4,270

Gross capital gain = Total proceeds - Total cost = $8,600 - $4,270 = $4,330

Therefore, Zach's gross capital gain from selling 200 shares of Goshen stock is $4,330.

The minimum sample size need for the given condition is 14

What is Confidence Level in Statistics?

The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Solution:

The minimum sample sixe required when,

Confidence Level = 99%

Variance = 50%

Generally going through the table

Minimum sample size is

X = 14

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Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

The power series representation for the function f(x) = ln(5 - x) centered at x = 0 is given by ln(5) - Σ((-1)^(n-1)/n) * x^n, where the summation goes from n = 1 to infinity. The radius of convergence, R, is 5.

To find the power series representation, we start with the known power series expansion of ln(1 + x) centered at x = 0, which is Σ((-1)^(n-1)/n) * x^n. By substituting x with (5 - x), we obtain ln(5 - x) = Σ((-1)^(n-1)/n) * (5 - x)^n.

Since ln(5) is a constant term, we can separate it from the series representation, giving us f(x) = ln(5) - Σ((-1)^(n-1)/n) * (5 - x)^n, where the summation goes from n = 1 to infinity.

The radius of convergence, R, is the distance between the center of the power series (x = 0) and the nearest singularity of the function. In this case, the function ln(5 - x) is singular at x = 5. Therefore, the radius of convergence, R, is 5.


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Answer:

23/26 1 3/26

Step-by-step explanation:

you make to where all the denmanters are the same and add

Answer:

D (+_ 15)

Step-by-step explanation:

X^2-225=0

the question is saying to solve the quadratic equation using the roots method.

so first u shift -225 to the other side.

we get: x^2= 225

no we hv x^2

we can shift the power to the other side. When u r shifting powers to the other u will always get a√.  Doing so will give us √225.  

(U can use a calculator for solving √225)

now solving it will give us +_15.

Here, u hv to be careful. When u r done solving a root over sum, never forget to put the +- sign. or else u can get ur answer wrong.

So, ur final answer is D.(+- 15)

Hope i could explain it to u :D

The population was 6.98 million in 1900. The population of New York decreased with respect to time.

What is an exponential function?

An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

The population of New York state can be modeled by

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)

P is the population and t is the number of years since 1800.

The difference between the year 1900 to 1800 is 100.

Putting t = 100 in the given model:

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)

\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)

P(t) = 19.71/2.8248

P(t) = 6.9774

P(t) = 6.977 (rounded to the nearest thousands)

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According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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Answer:

Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string

A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

cube with each edge

3.5m

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Solve for x values that satisfy a quadratic inequality to write interval notation. This usually involves factoring the quadratic and putting it equal to zero, then utilizing the inequality sign to select viable solutions. After finding the answers, write (a,b) to indicate the interval of x-values that make the inequality true. The interval notation for -3 and 5 is (-3,5).

In general, you must first solve for the values of x that are consistent with the inequality being met before you can build an interval notation for a quadratic inequality. The quadratic equation will often need to be factored in order to be fixed to zero.

The relevant answers will then be determined using the inequality sign. After you have identified the solutions, you may use the notation (a,b), where a and b stand for the solutions, respectively, to show the range of x-values that cause the inequality to hold.

The interval notation, for instance, might appear as follows if the responses were -3 and 5. (-3,5).

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The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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Answer:

Answer is in the attachment

The number of categories of outcomes per trial for a multinomial probability distribution is three or more.

The number of categories of outcomes per trial for a multinomial probability distribution is three or more. A multinomial probability distribution is a probability distribution that can be used to describe the possible outcomes of a trial with multiple categories. Each trial can have two or more categories, with each category having one or more outcomes. Therefore, the number of categories of outcomes per trial for a multinomial probability distribution is three or more.

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The age placed on x-axis and salary will be placed on y-axis.Because higher value should be placed on vertical.

A histogram is a graph used to represent the frequency distribution of a few data points of one variable.It is a graphing tool. It is used to summarize discrete or continuous data that are measured on an interval scale. It is often used to illustrate the major features of the distribution of the data.

A histogram is a chart that groups numeric data into bins, displaying the bins as segmented columns.The height of a rectangle (the vertical axis) represents the distribution frequency of a variable (the amount, or how often that variable appears). The width of the rectangle (horizontal axis) represents the value of the variable (for instance, minutes, years, or ages).

Now we find

ages is on x-axis.Because horizontal axis represents the value of the variables.

salary is on y-axis.Because vertical axis represents the distribution frequency of variables.

To find shape first we organized data in x-axis.Then draw graph on it.The probable shape of the salary distribution is Bell curve shape.

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Answer:

y = x + 2

Step-by-step explanation:

     Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

91

I hope this helped you out!

Answer:

There is no solution because they are not equal

Step-by-step explanation:

3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.

Hope this helps!

For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

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The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.

We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.

Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.

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Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.