Paula bought 8 pairs of socks. She paid $104. Two pairs of socks cost the same amount. How much did each of the others pairs of socks cost?

The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.

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9514 1404 393

Answer:

  (C)  64.26 m²

Step-by-step explanation:

You know the area is almost, but not quite, the area of two squares that are 6 m on a side. The area of one of those squares is (6 m)² = 36 m². The area of two of them is 2×36 m² = 72 m².

Since the area is larger than 36 m² and smaller than 72 m², there is only one answer choice that makes any sense:

  64.26 m²

__

Additional comment

That value is obtained using 3.14 for pi.

Answer:

5 hours

Step-by-step explanation:

:::::::::::::::

The equality of partial and Pearson correlations provides some insights into the relationship between X and Y, however, it is not sufficient to determine statistical significance, causality, range of scores.

The fact that the partial correlation is equal to the Pearson correlation does not automatically imply statistical significance. Statistical significance is determined by conducting hypothesis tests or calculating p-values, which require additional information such as sample size and significance level.

The statement (b) does not provide evidence of a causal relationship between X and Y. Correlation alone does not establish causality, as there may be other confounding factors or alternative explanations for the observed relationship.

The range of scores on X and Y cannot be inferred solely from the equality of partial and Pearson correlations. The range of scores depends on the actual data and variability within X and Y, which is not addressed in the statement.

The statement (d) suggests that the variable that was partialed out does not fully account for the correlation between X and Y.

However, it does not specify the nature of the variable or the method used for partial correlation. Further analysis and context are needed to draw conclusions about the role of the partialed-out variable.

In summary, while the equality of partial and Pearson correlations provides some insights into the relationship between X and Y, it is not sufficient to determine statistical significance, causality, range of scores, or the full explanation for the correlation observed. Additional analysis and considerations are necessary to make conclusions in these areas.

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Answer:

The british

Step-by-step explanation:

Answer:

The Britsh

Step-by-step explanation:

Formal colonialism first came to the region we today call Ghana in 1874, and British rule spread through the region into the early twentieth century. The British called the territory the “Gold Coast Colony."

Answer:

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Step-by-step explanation:

this question has f.r.e.e points, answer is saying yes pls

Answer:

5. x = 8

11. x = 57.6

13. x = 11

15. x = 5

Step-by-step explanation:

In each part, I set up a proportion and cross multiplied to solve.

5. 4/3 = 2x + 4/x + 7

    x = 8

11. 25/30 = 48/x

    x = 57.6

13. 32/2x + 6 = 60/52.5

     x = 11

15. To find missing part: 35 - 20 = 15

     20/7x - 11 = 15/4x - 2

     x = 5

this is just base (b) times width (w) times height (h)

you can put them into an equation that looks like this:

b × w × h = area (a)

now lets put those numbers for the letters.

8 × 2 × 4 = a

a = 64

you're welcome :)

Answer:

The correct answer is 56

Step-by-step explanation:

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 14, PL = 25, and WZ = 100, find the value of c.

100=25*4, so the other side must be also multiplicated by 4 ansd 14*4=56

The weight average of the coordinates is 6

The complete question is given as:

The coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3. And we need to calculate the weight average

The given parameters are:

Coordinate 3 has a weight of 2

Coordinate 8 has a weight of 3

.

The weight average is then calculated as:

Weight average = Sum of (Weigh * Coordinate)/Sum of Weights

So, we have:

Weight average = (3 * 2 + 8 * 3)/(2 +3)

Evaluate the quotient

Weight average = 6

Hence, the weight average of the coordinates is 6

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Complete question

The coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3.

Calculate the weight average

The estimate of the standard deviation (Sp) for the total number of errors in assignments from various semesters is approximately 0.044996 and the upper control limit (UC) is approximately 0.374988, and the lower control limit (LCL) is approximately 0.105012 for the p chart.

To compute the estimate of the standard deviation (Sp), we need to determine the proportion of assignments with errors in each semester and calculate the overall proportion of assignments with errors.

Given:

Number of semesters (n) = 5

Total number of assignments per semester (nupper) = 150

Proportion of assignments with errors (p) = 0.24

First, we calculate the proportion of assignments with errors for each semester:

Semester 1: p1 = (150 * 0.24) / 150

= 0.24

Semester 2: p2 = (150 * 0.24) / 150

= 0.24

Semester 3: p3 = (150 * 0.24) / 150

= 0.24

Semester 4: p4 = (150 * 0.24) / 150

= 0.24

Semester 5: p5 = (150 * 0.24) / 150

= 0.24

Next, we calculate the overall proportion of assignments with errors:

p = (p1 + p2 + p3 + p4 + p5) / n

= (0.24 + 0.24 + 0.24 + 0.24 + 0.24) / 5

= 1.2 / 5

= 0.24

Now we can compute the estimate of the standard deviation (Sp):

S = √((n - 1) * (1 - p) / n)

= √((5 - 1) * (1 - 0.24) / 150)

= √(4 * 0.76 / 150)

= √(0.304 / 150)

≈ √0.0020267

≈ 0.044996

Finally, we can compute the upper control limit (UC) and lower control limit (LCL) for the p chart using the formula:

UC = p + (3 * Sp)

LCL = p - (3 * Sp)

UC = 0.24 + (3 * 0.044996)

= 0.24 + 0.134988

≈ 0.374988

LCL = 0.24 - (3 * 0.044996)

= 0.24 - 0.134988

≈ 0.105012

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Answer:

x = 20

Step-by-step explanation:

100 + 3x + x = 180

100 + 4x = 180

- 100          -100

4x = 80

÷4   ÷4

x = 20

360° is a full circle, and since this is half you set the numbers equal to 180°

I hope this helps!

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Step-by-step explanation:

When multiplying exponential expressions with the same base, we can add their exponents.

\(4^7 * 4^3 = 4^1^0\)

Answer: 4^10

hope this helps!

Answer:

4^7 × 4^3 = 4^10

Step-by-step explanation:

4^7 × 4^3 = 4^10 because according to the multiplication rule of exponents,

Exponents with the same base can have their individual powers added up, which means the sum of the powers -

*For example-

A^m × A^n = A^m+n

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The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.

By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.

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The probability that no letters are repeated is 0.4121.

Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. The possibility of an event happening divided by the likelihood that it won't happen yields the odds. Probability is a metric used to assess the likelihood that a specific event will occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.

So, the probability

Given, Number of letters=8

N\(=26*25*24*23*22*21*20*19\)

P\(=\frac{25}{26}*\frac{24}{26}*\frac{23}{26}*\frac{22}{26}*\frac{21}{26}*\frac{20}{26}\\=0.96*0.92*0.88*0.85*0.81*0.77\\=0.4121\)

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Answer:

2,-1/4

you can use the calculator to find the answer .

depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x

Answer:

d

Step-by-step explanation:

Answer:

b) y-intercept

Step-by-step explanation:

y = mx + b

mx = slope

b = y-intercept

Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

To solve the differential equation, we can use separation of variables.

a) The differential equation that describes the rate of change of the balance B is given by:

dB/dt = 0.05B + 1500

b) To solve this differential equation, we can separate the variables and integrate:

1/(0.05B + 1500) d(B) = dt

Integrating both sides:

∫(1/(0.05B + 1500)) d(B) = ∫dt

To integrate the left side, we can use the natural logarithm:

ln|0.05B + 1500| = t + C

where C is the constant of integration.

Now, we can exponentiate both sides:

0.05B + 1500 = e^(t + C)

To simplify, we can rewrite the right side as:

0.05B + 1500 = Ke^t

where K = e^C

Now, we can solve for B:

0.05B = Ke^t - 1500

Dividing both sides by 0.05:

B = (Ke^t - 1500)/0.05

So, the solution to the differential equation is:

B = (Ke^t - 1500)/0.05

where K is a constant.

This equation represents the balance B as a function of time t for the continuously compounded interest with continuous deposits.

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Answer:

37.69911184

Step-by-step explanation:

because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.

The error that the student made was that he forgot to square.

The conversion rate of converting meter to feet (linear measurement) is given as:

1 meter = 3.28 feet.

The measures given is in area, therefore, we would need to square when doing our conversion. To convert 3.5 square meter to square feet, do the following:

3.5 m² × (3.28 ft/1 m)² (this is where the student made an error by omitting or forgetting to square)

= 3.5 × 10.8

= 37.8 square feet

Therefore, we can conclude that the error that the student made was that he forgot to square.

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The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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The probability that no one enters between 12:00 and 12:05 is 0.082.

The probability that at least 4 people enter the casino during that time is 0.242

Given that people enter the casino at the rate of 1 every 2 minutes. A random variable X is defined as the number of people entering the casino between the time period of 12:00 and 12:05. Since we are given in the question that people enter the casino at the rate of 1 every minute, hence in the given time period they enter at the rate of 2.5.

P(X=0) = \(e^{-2.5}\) = 0.082

Hence the probability that no one enters between 12:00 and 12:05 is 0.082.

The required probability is simply

P(X≥4) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)

= 1 - \(e^{-2.5}\) - 2.5\(e^{-2.5}\) - (((2.5)² / 2)\(e^{-2.5}\) ) - (((2.5³)/3!)\(e^{-2.5}\))

= 0.242

Hence, the probability that at least 4 people enter the casino during that time is 0.242

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Researchers are observing those with mumps to see how it affects hearing loss at all. There may be strong correlation, weak correlation, or no correlation at all.

With an experiment, researchers would break the participants into two groups: control group and treatment group. Those in the control group get the placebo (fake treatment) while the treatment group gets the treatment applied to them. If we were dealing with an experiment for this context, then the treatment group would get exposed to mumps on purpose. Of course, this is unethical and dangerous so an experiment for this type of project is not a good idea. It's better to go with an observational study.

The rate of change of photosynthesis with respect to intensity of light is 230 when x = 1. The rate found in part (a) is decreasing at a rate of 470 when x = 3. The rate of change of photosynthesis with respect to the intensity of light is 230 when x = 1 and -2190 when x = 3.

(a) To find the rate of change of photosynthesis with respect to the intensity of light, we need to take the derivative of the equation f(x) = 175x^2 - 40x^3 with respect to x.

f'(x) = 350x - 120x^2

(b) To find the rate of change when x = 1, we substitute x = 1 into the derivative equation:

f'(1) = 350(1) - 120(1)^2 = 230


To find the rate of change when x = 3, we substitute x = 3 into the derivative equation:

f'(3) = 350(3) - 120(3)^2 = -630

Therefore, the rate of change of photosynthesis with respect to intensity of light is -630 when x = 3.

To find how fast the rate found in part (a) is changing when x = 1, we need to take the second derivative of the equation:

f''(x) = 350 - 240x

Then we substitute x = 1 into the second derivative equation:

f''(1) = 350 - 240(1) = 110

Therefore, the rate found in part (a) is increasing at a rate of 110 when x = 1.

To find how fast the rate found in part (a) is changing when x = 3, we also need to take the second derivative of the equation:

f''(x) = 350 - 240x

Then we substitute x = 3 into the second derivative equation:

f''(3) = 350 - 240(3) = -470


(a) To find the rate of change of photosynthesis with respect to the intensity of light, we need to find the derivative of the given function f(x) = 175x^2 - 40x^3.

f'(x) = d/dx (175x^2 - 40x^3) = 350x - 120x^2

(b) To find the rate of change when x = 1 and x = 3, simply plug these values into the derivative:

f'(1) = 350(1) - 120(1^2) = 350 - 120 = 230
f'(3) = 350(3) - 120(3^2) = 1050 - 3240 = -2190

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As per the U.S. population report, the black population is about 13.5% of the total U.S. population.

The black population in the United States refers to the total no people that identify themself as black or African American.

The exact percentage of the black population in the United States can vary based on the source and the methodology used to collect the data, but as of the population report from 2021, it was estimated to be about 13.5% of the total population.

This information can be used to understand the demographic composition of the United States and to help inform decisions about resource allocation, public policy, and other important issues that can affect different populations. it can be also noted that the demographics of a country can change over time, so it is crucial to regularly update this information to ensure that it remains accurate and relevant.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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The median and quartiles fall in the middle age classes.

The median is the middle value in a set of data, meaning that half of the data falls below the median and half falls above it. The quartiles divide the data into four equal parts, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) being the median or 50th percentile, and the third quartile (Q3) being the 75th percentile.

In terms of age classes, the median and quartiles would fall in the middle age classes. For example, if the age classes were 0-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, and 81-90, the median and quartiles would fall in the 21-30, 31-40, and 41-50 age classes.

It is important to note that the specific age classes that the median and quartiles fall in will depend on the distribution of the data. However, they will always fall in the middle age classes, as they represent the middle values of the data set.

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