Someone help me please

The numbers on the cards are 5,5,8,12,15

Number of cards = 5

Median value = 8

Hence, the third number on the cards is 8.

With a modal value of 5, then the value must have appeared more than once.

Since values would be arranged in ascending order, then the two cards before the median would be 5.

Hence , we have 5, 5, 8

The range = 10 ;

Range = maximum - minimum

minimum = 5

10 = maximum - 5

maximum= 10 + 5 = 15

Now , we have : 5,5,8, _,15

Last card value = 45 - (15+8+5+5)

Last value = 45 - 33 = 12

Hence, the values are : 5,5,8,12,15

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Answer:

I think its 692.94 sorry if its not correct!

The surface area of the triangular prism is S = 288 m²

Given data ,

Let the surface area of the triangular prism be represented as S

Now , the height of the triangle is h = 4 m

The base of the triangle is b = 6 m

The length of the triangle is L = 11 m

where the slant height of triangular prism a = 5 m

S = ph + ( 1/2 ) bh

The base area of the prism is B = 66 m²

On simplifying , we get

S = 144 ( 2 )

S = 288 m²

Hence , the surface area is S = 288 m²

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Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

....... 25 % more time i guess as it takes alot of time to visit q docterv

Step-by-step explanation:

nothing

Answer:

5 Weeks

Step-by-step explanation:

50% of $60. Sawyers gift card covers $30.

.5 x $60 = $30

That means Sawyer's mom needs to cover the remaining cost:

$60 - $30 = $30

Sawyer will pay his mom back 20% of that amount each week. To find out how much that is, we can multiply:

0.2 x $30 = $6

So Sawyer will pay his mom back $6 each week. To figure out how many weeks it will take to pay her back, we can divide the toatal amount he owes her (/30) by the amount he pays her each week (/6):

$30 ÷ $6 = 5

According to the given table and analyzing the has disease and does not have disease column and their probability:

a. The false negative rate = 9.4%

b. False omission rate = 7.1%

c. False positive rate = 30.5%

d. False discovery rate = 12.3%

a. The probability that a person tests negative given that they have the disease (false negative rate) can be estimated as:

false negative rate = (number of negative test results for those with the disease) / (total number of people with the disease) x 100%

false negative rate = 106 / 1131 x 100%

false negative rate ≈ 9.4%

So the estimated false negative rate is 9.4%.

b. Using Bayes' theorem we can estimate the probability that a person has the disease given that they test negative (false omission rate):

false omission rate = (number of people who have the disease and test negative) / (total number of people who test negative) x 100%

false omission rate = (106 / 679) x (1277 / 1956) x 100%

false omission rate ≈ 7.1%

So the estimated false omission rate is 7.1%.

c. The probability that a person tests positive given that they do not have the disease (false positive rate) can be estimated as:

false positive rate = (number of positive test results for those without the disease) / (total number of people without the disease) x 100%

false positive rate = 252 / 825 x 100%

false positive rate ≈ 30.5%

So the estimated false positive rate is 30.5%.

d. Using Bayes' theorem we can estimate the probability that a person does not have the disease given that they test positive (false discovery rate) can also be estimated :

false discovery rate = (number of people who do not have the disease and test positive) / (total number of people who test positive) x 100%

false discovery rate = (252 / 1131) x (1277 / 1956) x 100%

false discovery rate ≈ 12.3%

So the estimated false discovery rate is 12.3%.

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The inequality which represents the situation is 4.5t + 8 > 44.

The number of minutes more it will take for Mr. Burst to beat Mr. Bean's record is 8 minutes.

Given that,

Mr. Burst is speed eating spring rolls.

He has eaten 8 and continues eat 4.5 rolls every minute.

He needs to eat more than 44 to beat Mr. Bean's record.

Let t be the number of minutes that Mr. Burst is speed eating spring rolls after eating 8 rolls.

The inequality can be represented as,

8 + 4.5t > 44

4.5t + 8 > 44, which is the required inequality.

Mr Burst will beat Mr Bean's record if he eat more than 44 rolls.

Solving the inequality,

4.5t + 8 > 44

4.5t > 36

t > 8

Hence it will take 8 more minutes for Mr. Burst to beat Mr. Bean's record.

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The probability that either event will occur is 0.36.

As per the given Venn diagram, the following things can be written:

P(A) = Sum of the data that circle A covers / Sum of the Total Data

= (14+24) / (14+24+10+18)

= 38/66

P(B) = Sum of the data that circle B covers / Sum of the Total Data

= (10+24) / (14+24+10+18)

= 34/66

P(A and B)

= Sum of the data that circle A and B covers / Sum of the Total Data

= (14+24+10) / (14+24+10+18)

= 48/66

Now, the probability that either event will occur is,

P(A or B) = P(A) + P(B) - P(A and B)

= (38/66) + (34/66) - (48/66)

= 24/66

= 4/11

= 0.3636

= 36.36%

Hence, the probability is 0.36.

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Answer:

y=−1x+2

Explanation:

Slope intercept form y=mx+b

The operation applying on the Matrix is shown below.

We have the matrix of order 4 x 3 as

[-6 1 8

-7 5 2

2 9 7

2 -8 8]

So, [-6 1 8

-7 5 2

2 9 7

2 -8 8]

Performing the operation R2 → R3 on a matrix means that you are replacing the elements in the third row of the matrix with the elements in the second row of the matrix.

In other words, you are changing the value of the third row of the matrix to be equal to the value of the second row of the matrix. This operation does not affect the other rows of the matrix.

[-6 1 8

-7 5 2

2 -8 8

2 -8 8]

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The center and radius of a Circle is important for many applications, such as geometry, engineering, and physics

The equation (x - 2)^2 + (y + 3)^2 = 36 represents a circle in the Cartesian coordinate system, with center (2, -3) and radius r = sqrt(36) = 6 meters.

The center of a circle is the point that is equidistant from all points on the circle, and in this case, the center is (2, -3). The radius of a circle is the distance from the center to any point on the circle, and in this case, the radius is 6 meters.

It's worth noting that the equation of a circle can be written in different forms, such as standard form or general form, but they all represent the same circle. In this case, the equation is in standard form, where (h, k) is the center of the circle and r is the radius.

Understanding the center and radius of a circle is important for many applications, such as geometry, engineering, and physics

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The volume of the solid formed by revolving the region bounded by x = [tex]y^2[/tex] and x = 4 about the line y = 3.

To find the volume of the solid formed by revolving the region bounded by x = [tex]y^2[/tex] and x = 4 about the line y = 3, we can use the method of cylindrical shells.

First, let's determine the limits of integration. From the given equations, we can see that the region of interest lies between y = -2 and y = 2 because [tex]y^2[/tex] = 4 when y = ±2.

Next, we express the equation x = [tex]y^2[/tex] in terms of y:

x = [tex]y^2[/tex]

To set up the integral for the volume, we need to consider the radius and height of each cylindrical shell. The radius is the distance between the line of revolution y = 3 and the curve x =[tex]y^2[/tex], which is given by:

r = 4 - [tex]y^2[/tex]

The height of each shell is the infinitesimal change in y, dy.

Now we can set up the integral:

V = ∫[from y = -2 to y = 2] 2πrh dy

V = ∫[from y = -2 to y = 2] 2π(4 - [tex]y^2[/tex])(3 - y) dy

Therefore, evaluating this integral will give us the volume of the solid formed by revolving the region bounded by x =[tex]y^2[/tex] and x = 4 about the line y = 3.

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5 pounds is said to be equivalent to about 9.45 Australian dollars (AUD) using the current exchange rate.

The USD/AUD exchange rate is known to be one that varies.  

Currently, 1 USD = 1.37 AUD

So by using the exchange rate of 1 USD = 1.37 AUD, 5 pounds can be converted to Australian dollars as:

5 pounds x 1.38 USD/pound

= 6.90 USD

Then Convert U.S. dollars to Australian dollars by using the current exchange rate and it will be:

6.90 USD x 1.37 AUD/USD

= 9.45 AUD

Or

if 1 Pound is 1.89 Australian dollars then 5  Pound will be:

5 x   1.89

= 9.45

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See transcribed text below

5 pounds to Australian dollars can you help me please thank you

This combination is a solution, then it means that Chase can safely guide 2 adults and 2 children on the trip without exceeding the safety and equipment constraints.

A solution of the system of linear inequalities. However, assuming that the system of linear inequalities represents the maximum number of rafters that Chase can guide on a trip based on safety and equipment constraints, a solution to the system of linear inequalities would indicate the maximum number of adults and children that can safely go on the trip.

For the first trip, if Chase guides 2 adults and 2 children, then this combination of rafters may or may not be a solution to the system of linear inequalities, depending on the specific constraints represented by the inequalities. However, if this combination is a solution, then it means that Chase can safely guide 2 adults and 2 children on the trip without exceeding the safety and equipment constraints.

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The value of a1 in the geometric sequence is 40

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

r = 1/2

a5  2.5

The nth term of a geometric sequence is represented as

a(n) = arⁿ⁻¹

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

ar⁴ = a5

So, we have

a(1/2)⁴ = 2.5

Evaluate the exponent

0.0625a = 2.5

Divide

a = 2.5/0.0625

Evaluate

a = 40

Hence, the value of a1 in the geometric sequence is 40

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We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

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The annual sales for the fast-food restaurant after 5 years will be approximately $791,355.

To find the annual sales for the fast-food restaurant after 5 years with a 4% increase each year, we can use the formula for compound interest:

[tex]Future Value (FV) = Present Value (PV) \times  (1 + Rate of increase)^Number of years[/tex]
In this case, the Present Value (PV) is the current annual sales of $650,000.

The rate of increase is 4% per year, which can be expressed as 0.04

The number of years is 5.
Now we can plug in the values into the formula:
[tex]FV = 650,000 \times (1 + 0.04)^5[/tex]
Calculate (1 + 0.04): 1.04
Raise the result to the power of 5: [tex]1.04^5 \approx 1.2167[/tex]
Multiply the result by the initial annual sales:[tex]650,000 \times  1.2167 \approx  791,355[/tex].

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Ira had the fastest speed on the last bike ride from the table that was shown.

An object's speed is determined by how swiftly it moves. It is referred to as the distance covered in a certain amount of time. Calculating speed mathematically involves dividing the distance traveled by the time required:

Distance x Time Speed

Although miles per hour (mph) and kilometers per hour (km/h) are also frequently used measures, meters per second (m/s) is the SI unit for speed.

Speed is a scalar quantity, which means it simply takes into account magnitude and ignores direction. It shows how quickly an object travels a certain distance, regardless of the route traveled.

Speed of Marta - 6/72 = 0.083 mi/min

Speed of Loribeth - 10/110 = 0.09 mi/min

Speed of Ira = 11/44 = 0.25 mi/min

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The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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Step-by-step explanation:

To find the mean of the given data, we add all the numbers and then divide by the total number of values:

1.2 + 1.7 + 1.7 + 2.1 + 1.4 + 1.2 + 1.9 = 10.2

Mean = 10.2 / 7 = 1.4571 (rounded to four decimal places)

To find the median, we need to arrange the data in order from smallest to largest:

1.2, 1.2, 1.4, 1.7, 1.7, 1.9, 2.1

The median is the middle value. Since there are an odd number of values, the median is the fourth value, which is 1.7.

Therefore, the mean of the data is 1.4571 and the median is 1.7.

a)

Given,

Amount = $180000

Rate of interest = 6.5% compounded monthly.

Time = 11 years

Now,

Let,

Periodic deposit each month = x $

Now,

Formula for compound interest calculated monthly,

A = P(1 + (r/12)/100)^12t

Substitute the data,

180000 = x (1 + (6.5/12)/100)^(12×11)

x = $44.16.

Hence the monthly deposit each month is $44 .16.

b)

Then,

If the monthly deposit is $44.16 then the yearly deposit will be,

$44.16 × 12 = $529.92 .

For 11 years,

$529.92 × 11 = $5830.39

Interest earned = $180000 - $5830.39

Interest earned = $174169.60

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There are exactly two triangles that satisfy this condition, since we can form a right triangle by connecting any two sides with the 90-degree angle.

The first sentence is stating that there is a triangle with angle measurements of 30, 70, and 80 degrees. This statement is accurate because the sum of the angles in a triangle is always 180 degrees, and 30 + 70 + 80 equals 180. Therefore, there is exactly one triangle that satisfies this condition.

The second sentence is stating that there are two sidewalls of each 6 inches long and one angle measure of 90 degrees. This statement describes a right triangle because a right triangle has one angle that measures 90 degrees and satisfies the Pythagorean theorem, where the sum of the squares of The square of the longest side is equal to two shorter sides. If we know the length of two sides of a right triangle, we can determine the length of the third side using the Pythagorean theorem.

Therefore, there are exactly two triangles that satisfy this condition, since we can form a right triangle by connecting any two sides with the 90-degree angle.

The first statement describes one triangle with specific angle measurements, while the second statement describes two triangles that have specific side lengths and angles.

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the combined revenue for the two days is 11. 78 dollars

To determine the combined revenue, we need to know that;

Combined revenue also referred to as gross revenue is determined on a consolidated basis in relation with generally accepted accounting principles in a financial reporting.

It is also described as the combined effort that is made by two or more groups of people at the same time.\

From the information given, we have that;

Combined revenue = Day 1 sales + Day 2 sales

Substitute the values

Combined revenue = 6.2 ×10° + 1.9 × 10°

Add the values

Combined revenue = 11. 78 dollars

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The expression equivalent to 45t - 15c is 15(3t - c).

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 45t - 15c.

We have to find an equivalent expression of this using the distributive property.

For three numbers or expressions a, b and c, Distributive property states that,

[tex]\sf a (b + c) = ab + ac[/tex]

In the expression of 45t - 15c, write each terms as a multiple of a common factor.

[tex]\sf 45t = 15\times 3t[/tex]

[tex]\sf 15c = 15\times c[/tex]

[tex]\sf 45t - 15c=(15\times3t)+(15\times c)[/tex]

[tex]\sf =15(3t - c)[/tex]

Hence the correct expression which is equivalent to the given expression is 15(3t - c).

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Answer:

200 ml

Step-by-step explanation:

She uses a ml of solution a.

She uses b ml of solution b.

Equation of the amount of each solution:

a = b - 100

Equation of the amount of alcohol:

0.11a + 0.2b = 51

0.11(b - 100) + 0.2b = 51

0.11b - 11 + 0.2b = 51

0.31b = 62

b = 200

Answer: 200 ml

The statement that correctly defines dimensioning is it is the illustration of the shape, size, and location requirements for a design feature

Option C is the correct answer.

We have,

Option A is incorrect because dimensioning does not show areas that are not covered in a drawing; it is the process of indicating measurements and requirements of a part or a feature on a drawing.

Option B is incorrect because dimensioning refers to the use of a single unit of measurement in a drawing to accurately define the size, location, and orientation of the part or feature.

Option C is correct because dimensioning is the process of specifying the shape, size, and location requirements for a design feature on a drawing. This helps to ensure that the part or feature is manufactured correctly.

Option D is incorrect because an arrow pointing to a specific part of a drawing is called a leader line, and it is used to indicate which feature on a drawing is being referred to.

Option E is incorrect because the concept of limited variation is known as tolerance, which is a separate aspect of engineering and design.

Thus,

The statement that correctly defines dimensioning is it is the illustration of the shape, size, and location requirements for a design feature

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Let's start by finding the total number of parts in the ratio 8:7:5:9:

8 + 7 + 5 + 9 = 29

This means that the whole cake is made up of 29 equal parts.

Next, we need to find the mass of one part of the smaller piece that was divided into two parts. We can do this by adding the ratio parts together:

5 + 9 = 14

This means that the smaller piece was divided into two parts, each of which is 240g / 14 = 17.14g.

The smaller piece itself is made up of 8 + 7 = 15 ratio parts, so its total mass is:

15 x 17.14g = 257.1g

Finally, we can find the mass of the whole cake by using the ratio:

8 + 7 = 15 parts for the larger piece

15 + 5 + 9 = 29 parts for the whole cake

We know that the mass of one part of the smaller piece is 17.14g, so we can set up the following equation to find the mass of the whole cake:

15x + 15x(17.14g/240g) = 29x

Solving for x, we get:

x = 720g

Therefore, the mass of the whole cake is 29x = 20,880g (or 20.88kg).