The table displays data collected, in meters, from a track meet.


one third 2 4 1
7 two thirds four fifths five halves


What is the median of the data collected?
1
1.5
2
2.5

The final answer after solving the given equation could be 14.

What is Linear Equation ?

Linear Equation can be defined as the equation in which the highest degree of the variable is one. Linear equations are generally three types , they are standard form , slope intercept form , point slope form and linear equation is also called as the equation of straight line.

Given,

Given equation,

2x + 6 = 3x -8

separating the value into a similar term:

2x-3x = -8 - 6

subtracting the equation:

-x = -14

remove negative sign:

x = 14

Therefore , the final answer could be 14.

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The total sum of miles ridden by Ivy this week is 75 miles.

What is meant by the sum of a quantity?

A method of combining everything is a sum. The sum creates a new total by adding up two or more numbers.

Given,

Number of miles ridden on Monday = 15 miles

Number of miles ridden on Tuesday = 10 miles

Then,

Number of miles ridden on Wednesday = 2 times the sum of 15 and 10 = 2*(15+10) = 2*25 = 50 miles

Therefore the total sum of miles ridden so far this week

                                                                    = 15 + 10 + 50 = 75 miles

Hence the total sum of miles ridden by Ivy this week is 75 miles.

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Answer:

Step-by-step explanation:

Scale 1: A.-4,-2

             B.-2,4

             C.4,-2

Scale 2: A.3,3

             B.3,15

             C.5,3

Scale 3: A.4,8

              B.12,16

              C.16,8

Scale 4: A.0,0

              B.-2,8

              C.-2,-6

Answer:

A 3,3 B 15,3 C 5,3

Step-by-step explanation:

Answer: 20 minutes

Step-by-step explanation: 20 minutes is the only mathematical piece of information given in the text.

The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).

When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.

Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.

Therefοre, the cοrrect answer is c. O(lοgN).

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I think it's like 0.88, but I believe that's it rounded up.

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

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Step-by-step explanation:

The value of a machine at the end of t years with a rate of depreciation, r is given by the function:

It is required to find the age of a machine that originally costs $13,500, but is now valued at $10,419 and has a rate of depreciation of 0.12.

To do this, substitute C=13500, V=10419, and r=0.12 into the function:

Solve the resulting equation for t:

Take the Logarithm of both sides:

Hence, the machine is about 2.03 years.

The machine is about 2.03 years.

Answer:

116 cm squared

Step-by-step explanation:

The area of the triangle is 28 cm squared.

The area of the parallelogram is 88 cm squared.

The total area of the composite figure would be 116 cm squared.

Answer:

triangle:28

parallelogram:88

total area:116

Step-by-step explanation:

8×7=56

triangle->56÷2

=

\( {28}^{2} \)

parallelogram->11cm×8cm

=

\( {88}^{2} \)

total area->28cm²+88cm²=116cm²

Answer:

a) 20\(\sqrt{35}\)

b) 7\(\sqrt{5}\)

c) 18\(\sqrt{2}\)

d) 5\(\sqrt{2}\)

e) 36\(\sqrt{3}\)

f) 72

g) 10\(\sqrt{3}\)

Step-by-step explanation:

Answer:

The three is negative

Step-by-step explanation:

A polynomial cannot have a variable in the denominator or a negative exponent so the reasoning is Because the three is negative

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer:

3.37

Step-by-step explanation:

I am not very sure but this would be the answer.

Answer: 3 votes

Step-by-step explanation:

3 votes were in Tucker's favour, because 10% of 15 is 1.5, 1.5 x 8 is 12.

Answer:

2:7

Step-by-step explanation:

ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.

Answer:

2 : 7

Step-by-step explanation:

7 days = 1 week

y days = 2 weeks

\(\frac{1}{7} :\frac{2}{y}\)

1 × y = 2 × 7

y = 14

4 days : 14 days

4 = 2 × 2

14 = 2 × 7

GCF = 2

4 ÷ 2 = 2

14 ÷ 2 = 7

2 : 7

The number of ways to place the stickers on the model car is 24 by using factorial.

Describe a factorial.

The factorial of a non-negative integer "n" is the product of all positive integers from 1 to "n" in mathematics. It is denoted by the symbol "n!".

The definition of n! is:

n! = 1*2*3*4*5.. * n

For example, 5! is equal to:

6! =1*2*3*4*5*6= 720

Now,

There are 4 options for the first sticker, 3 options for the second sticker, 2 options for the third sticker, and only 1 option for the last sticker. Therefore, the total number of ways to place the stickers is 4!

4! = 4*3*2*1= 24

So, there are 24 different ways to place the stickers on the model car in a vertical stack, if each sticker is to be used only once.

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The big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To give a big-O estimate for the number of operations used in a segment of an algorithm, we need more specific information about the segment and its complexity. Big-O notation provides an upper bound on the growth rate of the algorithm as the input size increases.

If the segment involves a loop that iterates n times, and each iteration performs a constant number of operations (additions or multiplications), then the complexity would be O(n). This means that the number of operations increases linearly with the input size.

However, without further details about the specific segment or the algorithm's overall structure, it is challenging to provide a more accurate estimation. The complexity analysis requires examining the code's control flow and considering factors such as nested loops or recursion.

In summary, the big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

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Answer:

3 1/3

Step-by-step explanation:

Answer:

(n+5)/6

n is a number plus 5. All divided by 6

Answer:

(x+5)/6

Step-by-step explanation:

Let's assume the number is x. The sum of a number means addition so when you see "the sum of", it means addition. The things that are getting added are x and 5 so it becomes x+5. Then you divide x+5 by 6 and you get (x+5)/6

I added parentheses because I didn't know how to show the full fraction.

Answer:

Rounding maybe

Step-by-step explanation:

A record's key field is the field whose contents make the record unique among all records in a file.

In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.

For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.

The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.

In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.

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To find the t critical values using the information provided in the table, we need to use the degrees of freedom (df) and the significance level (α).

a) For the hypothesis: -0 > 0

Significance level: α = 0.250

Degrees of freedom: df = 4

To find the t critical value for a one-tailed test with a 0.250 significance level and 4 degrees of freedom, we can consult a t-distribution table or use statistical software. Assuming a one-tailed test, the critical value can be found by looking up the value in the table corresponding to a 0.250 significance level and 4 degrees of freedom. The critical value is the value that separates the rejection region from the non-rejection region.

b) For the hypothesis: -0 < 0

Significance level: α = 0.025

Degrees of freedom: df = 21

c) For the hypothesis: -0 > 0

Significance level: α = 0.010

Degrees of freedom: df = 22

d) The information for hypothesis d is missing. Please provide the necessary information for hypothesis d, including the significance level and degrees of freedom, so I can assist you in finding the t critical value.

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The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

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Answer:

1

Step-by-step explanation:

Using the cofunction identity

sec(90 - x) = cosecx , then

sec(90 - 58)° = cosec32° , so

\(\frac{cosec32}{sec58}\)

= \(\frac{cosec32}{cosec32}\)

= 1

The original price of the pair of shoes is £60.

Let the original price of the pair of shoes be = 100x.

The sale percentage is = 10%

So the sale price of the pair of shoes = 100x*((100-10)/100) = 90x

According to question, Natalia brought the pair of shoes for £54. So,

90x = 54

x = 54/90 = 6/10 = 0.6

Hence the original price of pair of shoes = 100x = 100*0.6 = £60.

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Answer:

y=3x-12

Step-by-step explanation:

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The answer for the given two figure is mBEC is 32° and mPR is 120°

A line that touches a circle only once is said to be tangent to it. A point to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency. Let's now demonstrate that the circle's tangent and radius are perpendicular to one another at their point of contact.

The line segment connecting any two locations on a circle's circumference is referred to as the chord of the circle. It should be remembered that the diameter is the circle's longest chord that runs through its centre.

according to question,

In fig1 mBEC = mAEB - mDEC/2

        mBEC = 94° - 30°/2

        mBEC = 32°

In fig2 mPR = 180° - mPQR

                 = 180° - 60°

                 = 120°

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Step-by-step explanation:

Here, in number lines the fraction are,

A = -4/6 = -2/3

B = -3/6 = -1/2

C = 1/6

D = 5/6