Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 26 square​ kilometers, what is the population of the​ region?

Suav would have run approximately \($970$\) miles in \($25$\) weeks, to the nearest whole number.

What are the whole numbers?

Whole numbers are the set of numbers that include all positive integers (1, 2, 3, ...) as well as zero (0). Whole numbers do not include any negative numbers or fractions. Therefore, the set of whole numbers is {0, 1, 2, 3, ...}.

Suav runs \($20$\) miles the first week. Let's use a formula to calculate the number of miles he runs in subsequent weeks. Let \($m$\) be the number of miles he runs in a particular week, and \($w$\) be the number of weeks elapsed since the first week. Then, we have:

\($$m = 20 \cdot 1.05^{w-1}$$\)

This formula takes into account the \($5%$\) increase in miles each week, starting from the initial \($20$\) miles in the first week.

To find the total number of miles Suav runs over \($25$\) weeks, we can sum up the miles he runs in each week using the formula above. That is,

\($$\text{Total miles} = 20 + m_2 + m_3 + \cdots + m_{25}$$\)

where \($m_2, m_3, \ldots, m_{25}$\) are the number of miles he runs in the second to \(25$th\) week, respectively.

We can use the formula for \($m$\) to find each of these values. For example, the number of miles he runs in the second week is:

\($$m_2 = 20 \cdot 1.05^{2-1} = 21$$\)

Similarly, we can find the number of miles he runs in each of the other weeks:

\(m_3 &= 20 \cdot 1.05^{3-1} = 22.05\)

\(m_4 &= 20 \cdot 1.05^{4-1} = 23.103\)

\(&\vdots\)

\(m_{25} &= 20 \cdot 1.05^{25-1} = 57.597\)

Now, we can substitute these values into the formula for the total miles and simplify:

\(\text{Total miles} &= 20 + 21 + 22.05 + \cdots + 57.597 \&\approx 970\)

Therefore, Suav would have run approximately \($970$\) miles in \($25$\) weeks, to the nearest whole number.

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Answer

well if it is 5% each week, then it would be 20 +1. doing this for 25 weeks means it would be 20 + 25 then.

Sorry if wrong. i don't know if u do 5% after each time or from the main number. it doesn't say weather or not.

Step-by-step explanation:

p lz give me brainliest

Answer:

Solution is in attached photo.

Step-by-step explanation:

Answer:

V = 430 mL

Step-by-step explanation:

Given that,

The volume of the shampoo bottle, V = 0.43 L

We need to find how many milliliters of shampoo is contained in the bottle.

We know that,

1 L = 1000 mL

If we want to convert 0.43 L to mL we can use the unitary method. So,

0.43 L = 0.43 × 1000 mL

= 430 mL

So, 430 mL is contained in the bottle.

Answer:

As I could see that the answer is B

Step-by-step explanation:

And the reason for it is because the equation is being a property of multiplication

A two-sample z-interval for a population proportion. This method is used to create an estimate of the percentage of trees in a large forest that are infested with a certain beetle by taking a random sample of trees to inspect.

A two-sample z-interval for a population proportion is the most appropriate method for creating an estimate of the percent of trees in a large forest that are infested with a certain beetle. This method involves taking a random sample of trees from the forest and inspecting them to determine the proportion of infested trees. The sample size chosen should be large enough to provide a reliable estimate of the proportion of trees in the population that are infested. A two-sample z-interval is then used to calculate a confidence interval for the population proportion, which can be used to estimate the overall percent of trees in the forest that are infested with the beetle. This method can provide a reliable estimate of the percent of trees in the forest that are infested with the beetle, allowing environmentalists to make informed decisions regarding management of the forest.

Answer:

16

Step-by-step explanation:

10 + (30 divided by 5)

10+6

16

The answers is the picture I posted. I did in khan academy and it was right.

The data values of the scatter plot are  (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

The table of values is given as:

x: 1  2  3  5  8

y: 13 11 10 9 8

This means that the data values are:

(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

See attachment for the scatter plot

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Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

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

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean  and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that .

You scored 24 on Exam A. So

z = 0.76

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that .

You scored 1167 on Exam B, s:

z = 0.632

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

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Answer:

  B)  100

Step-by-step explanation:

Let c represent the number of chicken meals ordered. Then 150-c is the number of beef meals ordered, and the total meal cost is ...

  4c +6(150-c) = 700

  -2c = -200 . . . . . . . . subtract 900, simplify

  c = -200/-2 = 100

100 chicken meals were ordered.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following operation:

We solve in the standard way just like this:

Answer:

simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month

Step-by-step explanation:

The first four terms of the sequence are \[a_1 = 135, \quad a_2 = 45, \quad a_3 = 15, \quad a_4 = 5\]. The correct option is A. \(a_1 = 135, a_2 = 45, a_3 = 15, a_4 = 5\).

To write the first four terms of the sequence defined recursively:

\[a_1 = 135 \quad \text{(given)}\]

\[a_{n+1} = \frac{1}{3}(a_n) \quad \text{(recursion formula)}\]

We can calculate each term by applying the recursion formula to the previous term.

\[a_2 = \frac{1}{3}(a_1) = \frac{1}{3}(135) = 45\]

\[a_3 = \frac{1}{3}(a_2) = \frac{1}{3}(45) = 15\]

\[a_4 = \frac{1}{3}(a_3) = \frac{1}{3}(15) = 5\]

Therefore, the first four terms of the sequence are:

\[a_1 = 135, \quad a_2 = 45, \quad a_3 = 15, \quad a_4 = 5\]

Hence, the correct option is A. \(a_1 = 135, a_2 = 45, a_3 = 15, a_4 = 5\).

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Vertical angulation refers to the angle at which the x-ray beam is directed when taking dental radiographs. It is an important factor in obtaining clear and accurate images.

In both the paralleling and bisecting techniques, the group of answer choices remains the same. However, the vertical angulation is generally greater for images taken with the paralleling technique compared to the bisecting technique.

This is because the paralleling technique requires the x-ray beam to be directed more vertically in order to capture the entire tooth structure on the film. On the other hand, the bisecting technique involves angling the x-ray beam downward to intersect the imaginary bisector between the long axis of the tooth and the film.

Therefore, the vertical angulation differs depending on which technique is being used.

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Answer:

18

Step-by-step explanation:

The probability that 5 different integers randomly chosen from between 20 and 69 each have a different tens digit is 0.0000022.

To find the probability that 5 different integers randomly chosen from between 20 and 69 (inclusive) each have a different tens digit, we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes.

First, let's determine the total number of possible outcomes. The range of integers between 20 and 69 (inclusive) contains 50 numbers. Therefore, there are 50 choices for the first number, 49 choices for the second number, 48 choices for the third number, 47 choices for the fourth number, and 46 choices for the fifth number. So, the total number of possible outcomes is:

50 * 49 * 48 * 47 * 46 = 54,512,400

Now, let's calculate the total number of favorable outcomes. We want each chosen number to have a different tens digit. There are 5 different tens digits in the range (2, 3, 4, 5, and 6). For the first chosen number, we have 5 choices. For the second number, we have 4 choices remaining (as one tens digit has already been used), for the third number we have 3 choices remaining, for the fourth number we have 2 choices remaining, and for the fifth number we have 1 choice remaining. So, the total number of favorable outcomes is:

5 * 4 * 3 * 2 * 1 = 120

Therefore, the probability that 5 different integers randomly chosen from between 20 and 69 each have a different tens digit is:

120 / 54,512,400 ≈ 0.0000022

This can be expressed as approximately 0.00022% or 1 in 454,270.

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The value of x in the sequence is 12035.

To find the value of x in the given sequence, we can look for a pattern that relates the numbers to each other.

If we take the first number (5) and multiply it by 2, we get 10. If we then add 20 to that, we get 30. Similarly, if we take 30 and multiply it by 4, we get 120. If we then add 120 to 40, we get 160. Continuing this pattern, we can see that:

5 x 2 = 10

10 + 20 = 30

30 x 4 = 120

120 + 40 = 160

160 x 6 = 960

960 + 255 = 1215

1215 x 8 = 9720

9720 + 2315 = 12035

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Answer:  5, 8

Step-by-step explanation:

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8)  --> 3x + 8

               23 < 3x + 8 < 32

               15 < 3x        < 24           subtracted 8 from all 3 sides

-->             5 <   x        <   8          divided 3 from all 3 sides

Answer:

x = 15

Step-by-step explanation:

48/12 = 4

60/4 = 15

Essentially, find the growth rate and divide the larger number by that number, or if you were given the smaller number (15), you would simply need to multiply 15 by 4 to find 60.

The probability that the selected employee works in department a and is not classified as junior level is of:

0.1 = 10%.

The probability is obtained from the information given in the problem, building the composition of the percentages and the two labels that compose the data-set.

The probability of selecting a junior-level employees in department A is of:

0.55 x 0.4 = 0.22.

As:

Hence the probability of selecting a non-junior level employee in department A is of:

0.32 - 0.22 = 0.1.

As:

The complete problem is:

At a small company, 40 percent of the employees are classified as junior level, and 32 percent of the employees work in department A. Of those classified as junior level, 55 percent work in department A. One employee will be selected at random. What is the probability that the selected employee works in department A and is not classified as junior level?

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Answer:

64 cubic inches

Step-by-step explanation:

The formula to find the volume of a rectangular prism is

Length x Width x Height

Therefore, 2 x 8 x 4 = 64.

The answer is:

x= 46/5

y= 5/7

It would be appropriate to construct a t-interval to estimate the population mean.

To determine whether it is appropriate to construct a t interval to estimate the population means, we need to consider if the sample size is large enough and if the population standard deviation is known.

If the sample size is less than 30 and the population standard deviation is not known, then it would be appropriate to use a t-interval.In this case, the sample size is 32, which is large enough to assume that the sample mean is an accurate representation of the population mean.

However, the population standard deviation is not known, so it would be appropriate to use a t interval. The t interval can be calculated using the sample mean, sample standard deviation, and degrees of freedom, which is the sample size minus 1.

The t interval will provide a range of values that we can be confident the population mean falls within, given the sample mean and variability.

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How much time do students spend on the internet? We collect data from the 32 members of our AP Statistics class and calculate the mean amount of time that each student spent on the Internet yesterday. Discuss whether it would be appropriate to construct a t interval to estimate the population mean.

Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

a) Sampling distributionThe sampling distribution is a probability distribution of a statistic that is formed when samples of size n are randomly selected from a population. The standard deviation of the sampling distribution is known as the standard error.b) Mean and standard error of the sampling distribution of the mean (use the correct name and symbol for each)The sample size is 144, and the mean balance is $1596 with a standard deviation of $250.

Standard error of the mean (SE) is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n). SE = σ/√nSE = 250/√144 = 20.83The mean of the sampling distribution of the mean = μ = $1596c) Percent of sample means for a sample of 144 college students that is greater than $1700Given that the population is normally distributed, the distribution of sample means is also normally distributed (according to the central limit theorem).

The z-score corresponding to $1700 can be calculated as follows:z = (x - μ) / SEz = (1700 - 1596) / 20.83 = 5.17The probability of getting a z-score greater than 5.17 is practically zero. Therefore, the percent of sample means for a sample of 144 college students that is greater than $1700 is zero.d) Probability that sample means for samples of size 144 fall between $1500 and $1600z1 = (1500 - 1596) / 20.83 = -4.61z2 = (1600 - 1596) / 20.83 = 0.19The probability that z is between -4.61 and 0.19 can be found by using the z-tables or calculator.

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The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Given area of cylinder = 25π cm²

          Height of cylinder = 11 cm.

Now, Area of Cylinder = 2πrh

                  25π = 2πr X 11

                   25 = 22r

                    r = 25 / 22

                  r = 1.14 cm

Then, diameter = 2r = 2 X 1.14 = 2.28 cm

Now area of wrapper = total surface area = 2πr(r + h)

                                    = 2π X 2.28 (2.28 + 11)

                                   = 4.56π X 13.28

                                   = 60.56π cm²

Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

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Answer:

He is not correct as the ratios are;

First ratio is 4:5,

Second ratio 11:13

Which are different values

Step-by-step explanation:

The number of correct questions Levi answered = 8 questions

The number of questions in the game = 10

The ratio of correctly answered questions to total number of questions in the first 10 question is given as follows

Correctly answered questions : Total number of questions = 8:10

Which can be simplified as 8:10 = 8/2:10/2 = 4:5

The number of correct questions Levi answered in the next three turns = 3 questions

The total number of questions attempted by Levi becomes 10 + 3 = 13 questions

The total number of correct answers given by Levi = 8 + 3 = 11 correct answers

The new ratio of correctly answered questions to total number of questions is therefore;

New correctly answered questions : Total number of questions = 11:13.

Therefore, the ratios do not remain the same as 4:5 ≠ 11:13.

Answer:

the price of the socks is 22€

Step-by-step explanation:

To find the value of a pair of socks you first write an algebraic expression for the situation of the problem.

Maria has 52€, she spent 23€ and also she spent in buying the three pairs of socks. You can chose x as the price of one pair of socks, then, Maria spent 3x. In the end Maria is owd 23€.

If you subtract 23€  and 3x to 52€  you obtain a negative value of -13€ . That is:

53 - 3x = -13    (1)

From the last equation you obtain x:

- 3x = - 13 - 53

-3x = - 66

x = (66/3) = 22

hence, the price of the socks is 22€