Can you pls help? This is geometry

Since the center of this semicircle is at the origin, O (0, 0), the radius of the semicircle is 5 units.

Since the center of this semicircle is at the point A (3, 4) and point B (-4, 5), the radius of the semicircle is 5√2 units.

In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation (formula):

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

By substituting the given points into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(3 - 0)² + (4 - 0)²]

Distance = √[(3)² + (4)²]

Distance = √(9 + 16)

Distance = √25

Distance = 5 units.

At point A (3, 4) and point B (-4, 5), the radius is given by;

Distance = √[(-4 - 3)² + (5 - 4)²]

Distance = √[(-7)² + (1)²]

Distance = √(49 + 1)

Distance = √50 = 5√2 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

  √37 ≈ 6.083

Step-by-step explanation:

You want the modulus of the complex number 6 -i.

The modulus of a number is written using absolute value bars:

  |6 -i|

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts:

  |6 -i| = √(6² +(-1)²)

  |6 -i| = √37 ≈ 6.083

The probability of picking blue ball by Liz and Mike are equal =1/3

Probability is a branch of mathematics that deals with the study of random events or experiments. It is concerned with quantifying the likelihood or chance of a particular event occurring, given certain assumptions or conditions.

The probability of an event is typically represented as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. For example, if you flip a fair coin, the probability of getting heads is 0.5, and the probability of getting tails is also 0.5.

There are different methods for calculating probabilities, depending on the nature of the event or experiment being considered. Some of the most commonly used methods include the classical probability method, the empirical probability method, and the subjective probability method.

Probability has many applications in various fields, including statistics, finance, engineering, and science. It is used to model and analyze complex systems and to make predictions and decisions based on uncertain information.

Given : X contains 9 blue balls and 18 red balls.

Y contains 7 blue balls and 14 red balls.

Probability of picking blue ball is 9/9+18

=9/27=1/3

Now Mike pick ball from bag Y one ball not affect these pick ball

so, 7/7+14=7/21=1/3

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Answer:

[tex] \sqrt{ \frac{4}{49 {d}^{4} } } = \frac{2}{7 {d}^{2} } [/tex]

Answer: The compound interest is $409.49, and the total amount after one year is $3,665.49.

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

P = the principal (in this case, $3,256)

r = the annual interest rate (100%, or 1 as a decimal)

n = the number of times the interest is compounded per year (4, since it's compounded quarterly)

t = the number of years (1)

Plugging in the values we know, we get:

A = $3,256(1 + 1/4)^(4*1)

A = $3,256(1.25)^4

A = $3,665.49 (rounded to the nearest cent)

To find the compound interest, we can subtract the principal from the total amount:

Compound interest = $3,665.49 - $3,256 = $409.49

Therefore, the compound interest is $409.49, and the total amount after one year is $3,665.49.

Answer:

The slope of that line is 13/8 = 1.625

(1.63 to two decimal places).

Answer:

To find the hypotenuse (c) of a right triangle with a height of 4 units and a base of 12 units, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean Theorem can be expressed as:

c^2 = a^2 + b^2

where c is the hypotenuse, and a and b are the lengths of the other two sides.

In this case, the height (a) is 4 units and the base (b) is 12 units.

Plugging these values into the Pythagorean Theorem equation, we get:

c^2 = 4^2 + 12^2

c^2 = 16 + 144

c^2 = 160

Taking the square root of both sides to solve for c, we get:

√(c^2) = √160

c = √160

So, the hypotenuse (c) of the triangle is √160

Sorry that you got that question wrong. Hope you do well on your tests/quizzes in the future.

They have traveled 234 miles when they completed 72 percent of the trips distance ​

from the question, we have the following parameters that can be used in our computation:

Distance = 325 miles

Distance completed = 72%

Using the above as a guide, we have the following:

Distance completed = 72% * Total distance

Substitute the known values in the above equation, so, we have the following representation

Distance completed = 72% * 325 miles

Evaluate

Distance completed = 234 miles

Hence, the distance completed = 234 miles

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Answer:

True

hope it helps :) !!!

Answer:

the answer is true, it's the objects net is the same as the surface area.

Answer: The null hypothesis for this scenario is that the proportion of readers who own a personal computer is 0.51 or less:

H0: p <= 0.51

The alternative hypothesis is that the proportion of readers who own a personal computer is greater than 0.51:

Ha: p > 0.51

To test this hypothesis, we would need to collect a random sample of readers and determine the proportion of readers who own a personal computer in the sample. We could then use a one-sample proportion test to determine whether the proportion in the sample is significantly different from the null hypothesis value of 0.51. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to substantiate the publisher's claim that more than 51% of their readers own a personal computer. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not sufficient evidence to substantiate the publisher's claim.

Step-by-step explanation:

Answer:

7) 760

8) 34

Step-by-step explanation:

7)  95x8=760

8)  (103-35)/2=34

Answer:

2. Yes, there are potential problems with Kiran's study. The first group consists of the first 25 people who turned in the signed form. This means that the first group may not be representative of the entire population of 50 people. For example, if the first 25 people who turned in the signed form are all from a particular demographic group, then the results of the study may not be generalizable to the entire population.

3. It is important to randomly assign people to groups in an experimental study because it helps ensure that the groups are similar in all respects except for the studied variable. This helps reduce the impact of confounding variables and increases the study's internal validity. Random assignment also helps to ensure that any differences between the groups are due to chance rather than systematic differences between the groups.

Step-by-step explanation:

Answer:

2. Yes, Kiran's study does have possible flaws, indeed. The first 25 people who submitted the signed form are in the first group. This indicates that the first group might not be typical of the total 50-person population. The study's findings might not apply to the entire population, for instance, if the first 25 persons to submit a signed form are all from the same demographic group.

3. In this experimental study, it's crucial to divide participants into groups at random since it helps to ensure that the groups are comparable in all regards outside the studied variable. This raises the study's internal validity and lessens the effect of confounding variables. Also, random assignment makes sure that any discrepancies between the groups are the result of chance, rather than deliberate divisions.

It is possible that there is right-sided dominance in kissing behavior, based on the reported study. The fact that in a random sample of 127 kissing couples, both people in 79 of the couples tended to lean more to the right than to the left suggests a pattern of right-sided dominance.

However, it is important to note that this study alone is not conclusive evidence of right-sided dominance in kissing behavior.

Further research would be needed to confirm whether there is a consistent pattern of right-sided dominance in kissing behavior across different populations and cultures. It is also possible that other factors, such as social or psychological factors, could influence the direction in which people lean during a kiss. Therefore, it is important to approach this topic with caution and not draw any firm conclusions based on a single study.

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I hope this helps you .

Given statement "3-2 Roof area can be broken down into three basic shapes: rectangle, triangle, and trapezoid"

Given statement is True.
Because: When calculating the roof area, we can generally break it down into three basic shapes:

The term "roof area" typically refers to the total surface area of a roof. This can be calculated by measuring the length and width of each section of the roof, and multiplying those measurements together to get the area of each section.

Then, the areas of all the sections can be added together to get the total roof area.

It's important to accurately measure the roof area when planning for construction or repairs, as it will affect the amount of materials needed and the cost of the project.

Roof area can also be used to calculate the amount of insulation needed or to estimate the potential energy savings of installing solar panels.

Rectangle:

A four-sided polygon with opposite sides parallel and equal in length.
Triangle:

A three-sided polygon with three vertices and three angles.
Trapezoid:

A four-sided polygon with one pair of parallel sides.
By dividing a roof's surface into these shapes, you can calculate the total area more easily.

Hence statement is True.

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As per the given Equation Each sister received 1 piece of jewelry.

Let's the number of pieces of jewelry that each sister received "x". Since there are 5 sisters, the total number of pieces of jewelry that the sisters received is 5x.

We can then set up an equation to represent the total number of pieces of jewelry that the sisters received from both grandmothers:

13 + y = 5x

This equation says that the total number of pieces of jewelry the sisters received is equal to the sum of 13 pieces from Grandma Gertrude and y pieces from Grandma Fien, and this total is also equal to the number of sisters (5) times the number of pieces each sister received (x).

To solve for x, we can first simplify the equation:

y = 5x - 13

Now we can substitute this expression for "y" into the original equation:

13 + (5x - 13) = 5x

5x = 5x

This equation is true for any value of x, which means that x can be any number. However, we are looking for the number of pieces of jewelry that each sister received, so we need to find a specific value of x.

Dividing both sides of the equation by 5, we get:

x = 1

This means that each sister received 1 piece of jewelry.

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The difference between the two items are depends on sample size, the method of counting, or the criteria for classification can all impact the percentage calculation.

Percentage is a measure of the proportion of one value to another expressed as a fraction of 100. For example, if there are 100 apples, and 25 of them are red, then the percentage of red apples is 25%. Similarly, if there are 200 bananas, and 50 of them are ripe, then the percentage of ripe bananas is also 25%.

However, the context in which these percentages are calculated can be different. For instance, the way in which the 25% of red apples was calculated could be different from how the 25% of ripe bananas was calculated.

To illustrate this, let's consider an example. Suppose there are two cities, A and B, with populations of 10,000 and 5,000, respectively. In city A, 2,500 people have blue eyes, while in city B, 1,250 people have blue eyes. At first glance, it may seem that the percentage of people with blue eyes is the same in both cities, at 25%.

However, if we look closer, we can see that the actual number of people with blue eyes is different between the two cities. City A has twice as many people with blue eyes as city B, even though the percentage is the same.

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The area of the composite figure is 84.85 square units

The area of the composite figure is solved by breaking it up and adding together

To find the area of a semicircle of diameter 8, we first need to find the radius of the semicircle, which is half of the diameter:

radius = diameter / 2 = 8 / 2 = 4

area of semicircle = (1/2) * pi * radius^2

= (1/2) * pi * 4^2

= 8 pi

Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formula:

area of parallelogram = base * height

In this case, the base is 10 and the height is 6, so we have:

area of parallelogram = 10 * 6

= 60

total area = area of semicircle + area of parallelogram

= 8 pi + 60

= 60 + 8 pi (in exact form) or approximately 84.85 (rounded to two decimal places)

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This is the formula for calculating the present value of a future payment, where P1 is the present value, P2 is the future payment, and R is the interest rate.

To use the formula, you need to know the value of P2, the future payment, and the interest rate, R. Then, you can solve for P1, the present value of that payment. The formula works by discounting the future payment to account for the time value of money, which means that money today is worth more than the same amount of money in the future.

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The best prediction about the number of cookies the college will need is that they will have about 480 students who prefer cookies. Option A is the correct answer.

According to the table, out of 225 students, 27 students prefer cookies. To find an estimate of the number of cookies the college will need for its 4,000 students, we can set up a proportion:

27/225 = x/4000

Solving for x, we get:

x = (27/225) * 4000

x = 480

Therefore, the best prediction about the number of cookies the college will need is that they will have about 480 students who prefer cookies. Option A is the correct answer.

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Answer:

There are a total of 4 + 6 + 10 = 20 CDs in the case. Eric has a 10/20 = 1/2 chance of picking a pop CD since there are 10 pop CDs in the case.

Therefore, the answer is D) 1/2.

Answer:

Step-by-step explanation:

Eric has a total of 4 + 6 + 10 = 20 CDs in the case.

The probability of picking a pop CD is the number of pop CDs divided by the total number of CDs:

P(pick a pop CD) = 10/20 = 1/2 = 0.5

Therefore, the probability of Eric picking a pop CD is 0.5 or 50%.

Answer: 7/9

Step-by-step explanation:

To find how many reams of paper the printing press used for each book, we need to divide the total number of reams used by the number of books printed.

Let's convert 2 1/3 reams of paper to an improper fraction:

2 1/3 = (2 × 3 + 1) / 3 = 7/3

So the printing press used 7/3 reams of paper to print 3 books. To find how many reams of paper were used per book, we can divide the total amount of paper used by the number of books:

(7/3) ÷ 3 = 7/9

Therefore, the printing press used 7/9 of a ream of paper for each book.

The rate at which Sheila charges customers for each serving =  $2.5 per serving.

Here the table that shows the cost of a cake from Sheila based on the number of servings is:

SERVINGS          TOTAL COST

    100                       $280

    150                       $405

    200                       $530

    250                       $655

We need to find the rate at which Sheila charge customers for each serving.

Consider points (x₁, y₁) = (100, 280) and  (x₂, y₂) = (200, 530)

where x is the number of servings and y coordinate represents the cost of servings.

The rate at which Sheila charges customers for each serving would be,

r = (y₂ - y₁) / (x₂ - x₁)

r = (530 - 280) / (200 - 100)

r = 250 / 100

r = 2.5

Therefore, the required rate is $2.5 per serving.

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To find the margin of error, we use the formula:

Margin of Error (ME) = Z * [tex]\sqrt{(p * (1-p) / n)}[/tex]

Z = 1.96 (for a 95% confidence level)

p = 0.33 (proportion of adults who said skim milk is a good calcium source)

(1-p) = 1 - 0.33 = 0.67 (complement of the estimated proportion)

n = 2406 (sample size)

ME = 1.96 * [tex]\sqrt{(0.33 * 0.67 / 2406)}[/tex] = 0.0185 (rounded to four decimal places)

This means that we can estimate, with 95% confidence, that the true proportion of adults who believe skim milk is a good calcium source falls within a range that is 1.85% above or below the reported proportion of 33% based on the survey results.

In other words, the actual proportion of adults who believe skim milk is a good calcium source could be as low as 31.15% or as high as 34.85% based on the margin of error.

A) The explicit rule for the value of the collection n years after it was worth $300,000 is  = $300,000 * (1.15)^n

B) Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

A) We know that the value of the art collection three years ago is $300,000, and the value of the collection two years ago is $345,000. Using these values, we can find the common ratio (r) of the geometric sequence:

r = (value two years ago) / (value three years ago)

r = 345,000 / 300,000

r = 1.15

Now that we have the common ratio, we can write the explicit rule for the value of the collection n years after it was worth $300,000:

value after n years = $300,000 * (1.15)^n

B) Using the explicit rule we found in part A, we can determine the value of the collection 7 years after it was worth $300,000:

value after 7 years = $300,000 * (1.15)^7

value after 7 years ≈ $698,285

Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

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To find the missing value in the equivalent ratio 12:18 = 16:___, you can use cross-multiplication.

First, you multiply the first term of the first ratio by the second term of the second ratio, and then you set it equal to the product of the second term of the first ratio and the missing value in the second ratio.

So, you get:

12 x ___ = 18 x 16

To solve for the missing value, you can divide both sides of the equation by 12:

___ = (18 x 16)/12

Simplifying the right-hand side, you get:

___ = 24

Therefore, the missing value in the equivalent ratio 12:18 = 16:___ is 24

Answer:24

Step-by-step explanation:

12:18

= 6:9

= 2:3

=16:24

First, you simplify it as much as you can and then scale it up to the number necessary.