‼️WILL MARK BRAINLIEST‼️

The probability that the dog is still lost at the end of the second day is 0.41

To solve this problem, we can use Bayes' theorem, which allows us to update the probability of an event based on new information.

Let A be the event that the dog is in forest A, and B be the event that the dog is in forest B. Let F be the event that the dog is found within two days.

We want to calculate P(F'), the probability that the dog is still lost at the end of the second day. We can use the law of total probability to express this as

P(F') = P(F'|A) × P(A) + P(F'|B) × P(B)

where P(F'|A) is the probability of not finding the dog within two days given that the dog is in forest A, P(F'|B) is the probability of not finding the dog within two days given that the dog is in forest B, and P(A) and P(B) are the prior probabilities of the dog being in forest A and forest B, respectively.

Using the information given in the problem, we can calculate

P(F'|A) = 1 - 0.5 = 0.5 (the probability of not finding the dog in forest A within two days is 1 - 0.5 = 0.5)

P(F'|B) = 1 - 0.8 = 0.2 (the probability of not finding the dog in forest B within two days is 1 - 0.8 = 0.2)

P(A) = 0.7 (the prior probability of the dog being in forest A)

P(B) = 0.3 (the prior probability of the dog being in forest B)

Plugging these values into the formula above, we get

P(F') = 0.5 × 0.7 + 0.2 × 0.3 = 0.41

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The given question is incomplete, the complete question is:

Oscar has lost his dog; there is a 70% probability it is in forest A and a 30% chance it is forest B. If the dog is in forest A and Oscar looks there for a day, he has a 50% change of finding the dog. If the dog is in forest B and Oscar looks there for a day, he has an 80% chance of finding the dog. what is the probability that the dog is still lost at the end of the second day?

Sam still needs to walk 7/8 of a mile to reach his goal.

To find out how many miles Sam has already walked, we add the distance he walked before lunch (1 1/8 miles) to the distance he walked after resting (3/4 mile):

1 1/8 + 3/4 = 9/8 + 3/4 (since we need a common denominator of 8)

= 18/8 + 3/8

= 21/8

So Sam has already walked 2 5/8 miles.

To find out how much further he needs to go to reach his goal of 3 1/2 miles, we subtract what he's already walked from his goal:

3 1/2 - 2 5/8 = 7/2 - 21/8 (again, we need a common denominator of 8)

= 28/8 - 21/8

= 7/8

So Sam still needs to walk 7/8 of a mile to reach his goal.

Learn more about distance at https://brainly.com/question/26550516

#SPJ1

The resultant answer after solving the given inequality -6x > 66 is x > -11 respectively.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than, or equal to, less than, or less than or equal to.

So, we have the given inequality:

-6x > 66

Now, solve for x as follows:

-6x > 66

x > 66/-6

x > -11

Therefore, the resultant answer after solving the given inequality -6x > 66 is x > -11 respectively.

Know more about inequality here:

https://brainly.com/question/24372553

#SPJ1

The appropriate correlational technique when the underlying distribution of interval scores is violently skewed would be:

b. Spearman's rank correlation coefficient

When the distribution of interval scores is violently skewed, meaning that the data is not normally distributed and may have extreme values or significant departures from normality, Pearson's correlation coefficient (option a) may not be appropriate as it assumes a linear relationship between variables and normality of data.

Instead, Spearman's rank correlation coefficient (option b) is a more appropriate choice. Spearman's rank correlation coefficient is a non-parametric method that does not assume normality of data and is based on the ranks of data rather than the actual values. It measures the strength and direction of monotonic association between variables, making it suitable for data that may not meet the assumptions of Pearson's correlation coefficient.

Learn more about “  correlational technique “ visit here;

https://brainly.com/question/30034221

#SPJ4

Complete Question

When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique should be:

a. Pearson's correlation coefficient

b. Spearman's rank correlation coefficient

c. Kendall's tau

d. Point-biserial correlation coefficient

e. Phi coefficient

The appropriate correlational technique when the underlying distribution of interval scores is violently skewed depends on the type of data and the research question, and may include non-parametric tests such as Spearman's rank correlation coefficient.

When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique depends on the type of data and the research question.

If the data is bivariate (two variables) and both variables are continuous, then the appropriate correlational technique would be Spearman's rank correlation coefficient, which is a non-parametric test that measures the strength and direction of the association between two variables.

Spearman's rank correlation coefficient is used when the data is not normally distributed or when the relationship between the variables is not linear.

On the other hand, if one or both of the variables are dichotomous or categorical, then a different correlational technique may be more appropriate.

For example, if one variable is dichotomous and the other is continuous, a point-biserial correlation coefficient may be used.

If both variables are categorical, a chi-square test of independence or Cramer's V may be used.

It is important to note that the appropriateness of a particular correlational technique depends on the specific characteristics of the data and research question.

Therefore, it is recommended to consult with a statistician or data analyst to determine the most appropriate technique for a particular study.

For similar question on non-parametric.

https://brainly.com/question/29692466

#SPJ11

The sampling distribution in this case is positively skewed. This is due to the fact that the mean is greater than the median, and the data is spread out further to the right than to the left, resulting in a long right tail on the histogram.

Data is information that has been collected, organized, and presented in a meaningful way. It can include facts, figures, observations, and other information, such as survey responses, images, and videos. Data is used to inform decision-making, inform research and analysis, and generate insights. Data can be qualitative or quantitative, and it is often gathered from multiple sources. Data can be collected through surveys, experiments, observational studies, or other methods. When combined with analytical tools, data can be used to identify patterns and trends, generate insights, and develop strategies.

The best description of the shape of the sampling distribution in this case would be positively skewed. Positively skewed distributions occur when the mean is greater than the median, and the data is spread out further to the right than to the left. This results in a long tail on the right side of the histogram that skews the data in a positive direction. To determine if this is the case, we can calculate the mean and median of the data.

To calculate the mean, we will use the formula for the population mean: $$\mu = \frac {\sum_{i=1}^n x_i} n$$

where $\mu$ is the population mean, $\sum_{i=1}^n$ represents the sum of all the data points, and $n$ is the sample size.

For the median, we can use the formula for the population median: $$Median = \frac{n+1}{2}th \ \ term$$

where $n$ is the sample size.

In this case, the sample size is 36, so the median would be the 18.5th term.

Now that we have the formulas, we can calculate the mean and median of the data.

The mean of the data is $46,408.89$.

The median of the data is $25,000.

Since the mean is greater than the median, it indicates that the data is positively skewed. This is further confirmed by examining the histogram of the data, which shows a long right tail on the right side of the histogram.

To know more about data click-
http://brainly.com/question/14592520
#SPJ1

Therefore, the value of x in the circle with center O is x = 7.

A circle is a geometric shape consisting of all points that are equidistant from a given point called the center. The distance from the center to any point on the circle is called the radius. A circle is a two-dimensional shape, and it is often represented by the symbol "O" or "⭕". The circumference of a circle is the distance around its edge or boundary.

Here,

If AB and BC are chords of a circle with center O, then we can use the intersecting chords theorem to find the value of x. According to the intersecting chords theorem, if two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. That is,

AB * BD = CB * BD

where BD is the length of the segment of chord AC that is inside the circle.

We can rearrange this equation to get:

AB * BD - CB * BD = 0

Factorizing BD from both terms, we get:

BD * (AB - CB) = 0

Since BD cannot be zero (as it is a positive length), we have:

AB - CB = 0

Substituting the given values, we get:

(4x-1) - (3x+6) = 0

Simplifying this equation, we get:

x - 7 = 0

To know more about circle,

https://brainly.com/question/26533660

#SPJ1

Answer:3/16

Step-by-step explanation:

√1 is the same thing as 1

so (3*1)/16

3/16

Answer: -12d+(4/(4d+7))

Step-by-step explanation:

To simplify the expression –48d^2 – 132d – 80 ÷ (4d + 7), we can use long division:

           -12d

      ____________

   4d + 7 | -48d^2 - 132d - 80

            48d^2 + 84d

            ___________

                       - 48d - 80

                       + 48d + 84

                       ___________

                                4

Therefore, the simplified expression is -12d + (4/(4d + 7))

Step-by-step explanation:

yes,because of SAS side angle side are equal.

The volume of the given rectangular prism is 27.6 cubic cm.

Length of the prism = 4⅗ cm

Width of the prism = 3 cm

Height of the prism = 2 cm

Volume of the rectangular prism = length × width × height

= 4⅗ × 3 × 2

= 23/5 × 6

= 138/5

= 27.6 cm³

In conclusion, the rectangular prism has the volume 27.6 cm³

Read more on volume of prisms:

https://brainly.com/question/23766958

#SPJ1

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5

To evaluate the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), we first need to parameterize the curve c.

Let t be the parameter such that

x = -1 + 5t,

y = 3 - t,

for 0 ≤ t ≤ 1.

The length of the curve c is given by the integral ∫ c ds, which can be calculated using the formula ∫ a to b [tex]√(dx/dt)^2 + (dy/dt)^2[/tex] dt. Plugging in the values from the parameterization, we get

[tex]∫ c ds = ∫ 0 to 1 √(5^2 + (-1)^2) dt = ∫ 0 to 1 √26 dt = √26.[/tex]

Using the parameterization, we can now write the integral as

[tex]∫ c (3x y) ds = ∫ 0 to 1 (3(-1+5t)(3-t)) √(5^2 + (-1)^2) dt = 78√26/5.[/tex]

Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5.

Learn more about the scalar line integral

https://brainly.com/question/31392715

#SPJ4

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

We can do this by letting x = t and y = 3 - t/2, where -1 ≤ t ≤ 4.

Then, we can find ds/dt using the formula [tex]ds/dt = \sqrt{(dx/dt^2 + dy/dt^2)}[/tex], which simplifies to

[tex]ds/dt = \sqrt{(1 + 1/4) } = \sqrt{(5)/2} .[/tex]

Next, we can substitute x and y in terms of t into the integrand and simplify to get:

[tex]3x y = 3t(3 - t/2) = 9t - (3/2)t^2[/tex]

Now, we can evaluate the integral by integrating with respect to t from -1 to 4:

[tex]\int c (3x y) ds = ∫ from -1 to 4 (9t - (3/2)t^2) (\sqrt{(5)/2)}  dt[/tex]

[tex]= (\sqrt{(5)/2)}  [ (9t^2/2) - (3/8)t^3 ] evaluated from -1 to 4[/tex]

[tex]= (\sqrt{(5)/2)}  [ (81/2) - (243/8) - (-27/8) + (3/8) ][/tex]

[tex]= \sqrt{(5)/2)}  [ (189/8) ][/tex]

= 22.229
Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

for such more question on scalar line integral

https://brainly.com/question/31392715

#SPJ11

Step-by-step explanation:

Again, using similar triangle ratios

7.2 m  is to 2.4 m  

     as   AB is to  12.0 m

7.2 / 2.4  = AB/12.0    Multiply both sides of the equation by 12

12 *   7.2 / 2.4   = AB = 36.0 meters

The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

To know more about guy wire here

https://brainly.com/question/15504383

#SPJ4

There are 216 possible outcomes for each trial of rolling three standard dice.

In probability theory, an outcome is defined as the result of a single experiment or trial. The total number of outcomes in a trial can be determined by the multiplication principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m x n ways to do both.

In this case, Michelle is rolling three standard dice simultaneously, which means that there are six possible outcomes for each die. Therefore, the total number of outcomes for a single trial is calculated by multiplying the number of outcomes for each die. Using the multiplication principle, we get:

Number of outcomes for each die = 6

Total number of outcomes for a single trial = 6 x 6 x 6 = 216

It is important to note that not all outcomes are equally likely, and the probability of getting a specific outcome can be calculated by dividing the number of favorable outcomes by the total number of outcomes.

To learn more about outcomes click on,

https://brainly.com/question/28889662

#SPJ4

Given statement: The rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.

Given statement is True.

The reason for this rule of thumb is that tasks often take longer than initially estimated due to unforeseen challenges, dependencies, and other factors that can cause delays.

By estimating the time of completion as 1.5 times the original estimate, you are accounting for these potential delays and allowing for a more realistic timeline.

This rule of thumb is not a hard and fast rule, and there will be cases where tasks take less or more time than 1.5 times the original estimate. However, it can be a helpful guideline for project planning and resource allocation, as it helps to ensure that sufficient time and resources are allocated to complete tasks within a realistic timeframe.

For similar question on estimating.

https://brainly.com/question/597381

#SPJ11

The expression representing number of slices of pizza ate by Riley is equal to (2/3 ) of total slices of one small pizza is given by  n = (2/3) × p.

Let us consider 'n' represents the number of slices of pizza Riley eats

Here 'p' represents the total number of slices of one small pizza.

If Riley eats two-thirds (2/3) of a small pizza with p slices,

Then the number of slices of pizza Riley eats can be represented by the expression,

Number of slices of pizza Riley eats  

= ( 2/3 ) × Total number of slices of one small pizza

⇒ n = (2/3) × p

Therefore, the expression represents two-thirds of the total number of slices in the pizza, which is the amount that Riley eats is equal to n = (2/3) × p

Learn more about expression here

brainly.com/question/13132624

#SPJ4

The above question is incomplete, the complete question is:

Riley eats 2/3 of one small pizza with p slices. Enter an expression to represent the number of slices of pizza Riley eats. ​

Every day, the number of views of the video increases by 80% of the previous day's views.

Every day, the number of views of the video increases by a certain percentage. To find the daily percent change in the views, we can use the formula for percent change, which is given by:

percent change = ((new value - old value) / old value) * 100

In this case, the old value is the number of views at the start, which is 500, and the new value is the number of views after one day, which is given by:

V(1) = 500*(1.8)^1 = 900

Substituting these values into the formula, we get:

percent change = ((900 - 500) / 500) * 100 = 80%

In other words, for every day that passes, the number of views of the video is multiplied by a factor of 1.8.

To learn more about percent click on,

https://brainly.com/question/27452160

#SPJ4

Testing is only one part of the overall assessment process.

What is evaluation in education?

Assessment is an ongoing process of gathering evidence of what each student actually knows, understands, and can do. A comprehensive evaluation approach includes a combination of formal and informal evaluation (formative, preliminary, and summative).

What is an assessment? Also what does it mean?

At the course level, assessments provide important data on the breadth and depth of student learning. Evaluation is more than scoring. It's about measuring student learning progress. Assessment is therefore defined as “the process of data gathering to better understand the strengths and weaknesses of a student's learning”. 

Learn more about assessment

brainly.com/question/28046286

#SPJ1

Therefore, the dimensions of the crate that minimize the cost of materials are approximately:

l = 1.587 ft
w = 2.519 ft
h = 3.159 ft

To minimize the cost of materials, we need to find the dimensions of the crate that will minimize the surface area of the crate. Let's call the height, width, and length of the crate "h", "w", and "l", respectively.

We know that the volume of the crate is 16 ft3, so we can write:

lwh = 16

We want to minimize the cost of materials, which is determined by the surface area of the crate. The surface area consists of the top, bottom, front, back, left, and right sides of the crate. The cost of the materials for the base is twice the cost of the materials for the sides, and the cost of the materials for the top is half the cost of the materials for the sides. Let's call the cost of the materials for the sides "c".

The surface area of the crate can be written as:

2lw + 2lh + 2wh

We can use the volume equation to solve for one of the variables, say "h":

[tex]h = \frac{16}{(lw)}[/tex]

Now we can substitute this expression for "h" into the surface area equation:

[tex]2lw + 2l(\frac{16}{(lw))} + 2wh[/tex]

Simplifying this expression gives:

[tex]2lw + 32/l + 2wh[/tex]
To find the dimensions that minimize this expression, we need to take the partial derivatives with respect to "l" and "w" and set them equal to zero:
[tex]\frac{d}{dl} (2lw + 32/l + 2wh) = 2w - \frac{32}{l^2} = 0\\[/tex]

[tex]\frac{d}{dw} (2lw + 32/l + 2wh) = 2l + 2h = 2l + 2(16/(lw)) = 2l + 32/(lw) = 0[/tex]
Solving these equations for "l" and "w" gives:

[tex]l = 2^{(1/3)}\\w = 2^{(2/3)}[/tex]

Substituting these values into the equation for "h" gives:

[tex]h = 8/(2^{(2/3)})[/tex]

Therefore, the dimensions of the crate that minimize the cost of materials are approximately:

l = 1.587 ft
w = 2.519 ft
h = 3.159 ft

learn more about volume

https://brainly.com/question/28058531

#SPJ11

The dimensions of the box that minimize the cost of materials are approximate:

x ≈ 2.52 ft

y ≈ 3.55 ft

z ≈ 2.52 ft

Let's denote the length, width, and height of the box as x, y, and z,

respectively. We are given the volume of the box is [tex]16 ft^3[/tex], so we

have:

x × y × z = 16

We are also given that the material used to make the base costs twice as

much (per square foot) as the material in the sides.

Let's denote the cost of the material for the sides as c, so the cost of the

material for the base is 2c.

The area of the base is xy, so the cost of the material for the base is

2cxy.

Similarly, the material used to make the top costs half as much (per

square foot) as the material in the sides.

Let's denote the cost of the material for the top as 0.5c.

The area of the top is also xy, so the cost of the material for the top is 0.5cxy.

The cost of the material for the four sides is simply 4cz.

Therefore, the total cost of materials is:

C(x, y, z) = 2cxy + 4cz + 0.5cxy

Simplifying, we have:

C(x, y, z) = (2.5c)xy + 4cz

We want to minimize this function subject to the constraint that the volume of the box is [tex]16 ft^3[/tex]:

x × y × z = 16

We can use the method of Lagrange multipliers to solve this constrained optimization problem:

L(x, y, z, λ) = (2.5c)xy + 4cz - λ(xyz - 16)

Taking partial derivatives with respect to x, y, z, and λ, we get:

dL/dx = 2.5cy - λyz = 0

dL/dy = 2.5cx - λxz = 0

dL/dz = 4c - λxy = 0

dL/dλ = xyz - 16 = 0

From the first two equations, we can solve for λ:

λ = 2.5cy/yz = 2.5cx/xz

Setting these two expressions equal to each other and simplifying, we get:

y/x = z/y

This implies that x:y:z = 1:√2:1, since we know that the dimensions of the box must be in proportion to each other.

Substituting this into the constraint x × y × z = 16, we get:

x = 2∛2

y = 2∛4

z = 2∛2

for such more question on dimensions

https://brainly.com/question/28107004

#SPJ11

The reported percentage of 1,500 voters in favor of stiffer gun control guidelines, 60.8%, is an example of descriptive statistics.

If it were reported that the percentage of 1,500 voters in the poll that were in favor of stiffer gun control guidelines was 60.8%, then this would be an example of descriptive statistics.

Descriptive statistics are used to describe and summarize data, usually through measures such as percentages, averages, and measures of variability.

In this case, the percentage of voters in favor of stiffer gun control guidelines is a descriptive statistic that summarizes the results of the poll. It describes the proportion of voters who hold a particular opinion on the issue, and it provides information about the sample of voters who were surveyed.

Learn more about statistics

brainly.com/question/29093686

#SPJ11

The second term of the expression represent the total depreciation value of the laptop. Therefore, the answer is C.

Pamela purchased a new laptop for her schoolwork.  She plans to sell it sometime in the future; however, its value depreciates monthly.

The expression below shows the depreciated sales value of the laptop.

Therefore, the meaning of the second term in the expression can be calculated as follows:

Therefore,

856 = The amount she bought the laptop

The second term 17m is the total depreciation value of the laptop where m = number of months.

learn more on expression here: brainly.com/question/29001350

#SPJ1

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

The empirical rule is a statistical rule that states that for a normal distribution.

Approximately 68% of the data will fall within one standard deviation of the mean, 95% of the data will fall within two standard deviations of the mean, and 99.7% of the data will fall within three standard deviations of the mean.

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

This dataset does not appear to be normally distributed, as evidenced by the large outlier (1 Insidi High Gross Revenue).

For similar question on empirical rule:

https://brainly.com/question/31627334

#SPJ11

Answer:

x=25.1

Step-by-step explanation:

by using Pythagorean theorem, [tex]a^{2} +b^{2}=c^{2}[/tex] where c is the hypotenuse

[tex]18.15^{2}[/tex]= 329.4225

[tex]17.39^{2}[/tex]= 302.4121

since those two side lengths are the legs, the sum of the numbers is the length of the hypotenuse squared

therefore, 631.8356 (the sum) = [tex]c^{2}[/tex]

by taking the square root of 631.8356, you will get approx 25.1 for the hypotenuse (aka x)

a) Firm's fixed costs is 300 dollars. The average total cost is 5.6 dollars. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

What is variable costs?

Variable costs are that type of costs which change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over the sum of units produced. It  can also be considered as normal costs.

A firm produces 125 units of a good. Its variable costs are 400 dollar, and its total costs are 700 dollar.

a) Fixed Costs = Total Costs – (Variable Cost Per Unit × Number of Units Produced)

Here given that, total costs= 700 dollar and total variable costs =400 dollar

Fixed costs= 700 - 400

                = 300 dollars.

b) Average costs= Total costs/ number of goods

                          = 700/125

                           = 5.6

c) Now the variable costs is 385 dollar

Amount of goods = 124 units

Total costs= Fixed costs + variable costs

                 =297.6 + 385 [As the fixed costs for 124 goods is (300×124)/125 which is equals to 297.6]

                 = 682.6 dollars

Hence, Firm's fixed costs is 300 dollars. The average total cost is 5.6. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

To know more about cost check the below link:

https://brainly.com/question/28147009

#SPJ1

Statistical sampling is generally considered better to use than nonstatistical sampling when testing controls because it allows for more objective and precise results.

With statistical sampling, a representative sample of items is selected using a predetermined method, which ensures that the sample is unbiased and has a known level of precision. This means that the results obtained from the sample can be extrapolated to the entire population with a high degree of confidence. Nonstatistical sampling, on the other hand, relies on the judgment of the auditor to select the sample items, which can lead to a biased sample and less precise results. Additionally, statistical sampling allows for the calculation of sample sizes based on the desired level of confidence and the estimated error rate, which can help optimize the testing process and reduce costs. Overall, statistical sampling is a more reliable and efficient method for testing controls than nonstatistical sampling.

To learn more about Statistical sampling visit;

https://brainly.com/question/29490427

#SPJ11

Answer:

The answer is: A

Step-by-step explanation:

Answer:

a) q<0

Step-by-step explanation:

[tex] \frac{q}{r} < 0 \\ = r \times \frac{q}{r} < 0 \times r \\ = q < 0[/tex]

Three distances that are equivalent to 1/2 mile are:

880 yards

1,609.34 meters

2,640 feet

Answer:

31.4 cm

Step-by-step explanation:

Circumference of circle = D x π

D = 10 cm

π = 3.14

Let's solve

10 x 3.14 = 31.4 cm

So, the circumference of the circle is 31.4 cm

The answers are:

a) 2 cakes cost £5

b) 1 cake costs £2.5.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations. It may also include exponents and/or roots. Algebraic expressions are used to represent quantities and relationships between quantities in mathematical situations, often in the context of problem-solving.

To find the cost of 1 cupcake, we need to subtract the cost of the tea from the total cost of 3 cupcakes:

3 cupcakes + 1 tea = £9

3 cupcakes = £9 - 1 tea = £9 - £1.5 (assuming the cost of 1 tea is the same in both cases) = £7.5

1 cupcake = £7.5 ÷ 3 = £2.5

So 2 cupcakes would cost:

2 cupcakes = 2 × £2.5 = £5

Therefore, the answers are:

a) 2 cakes cost £5

b) 1 cake costs £2.5.

To learn more about algebraic expression from given link:

https://brainly.com/question/19245500

#SPJ1