Students measured the length of different earthworms using centimeters (cm).The lengths were:

14 cm, 12.5 cm, 13 cm, 18 cm, 17 cm, 16.75 cm, 19 cm, 12.5 cm, 15 cm

If the students were asked to describe the difference in length of the worms, which answer would be best and why? (5 points)

Group of answer choices

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length

12.5 cm; this is found by determining the mode which is found by finding the number that occurs most frequently in a data set

15 cm; this is found by determining the median which is found by ordering the numbers from least to greatest and finding the middle number

15.3 cm; this is found by determining the mean which is found by finding the sum of all of the lengths and dividing by the total number of worms

Answers

Answer 1

The correct option regarding the difference in the length of the worms is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

What is the range of a data-set?

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the difference is exactly what we want to estimate, hence we need to consider all measures(which removes the mode and the median), and find the largest lowest and the highest, which is the range, hence:

19 cm - 12.5 cm = 6.5 cm.

Which means that the correct option is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

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Related Questions

Part 1: Complete the operations geometrically.
Use vector operations to draw the resultant vector.
⦁ Draw 2u + 4v.

Answers

Answer:

Step-by-step explanation:

The geometrically operations 2u + 4v is (2,12).

For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.

Why is a graph a direct line?

It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.

What is a straight line graph?

The graph follows a straight line equation shows a straight line graph.

equation of a straight line is   y=mx+cy represents vertical line y-axis.

x represents the horizontal line x-axis.    

m is the slope of the line

           slope(m)=tan∅=y axis/x axis.

c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.

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the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?

Answers

Answer:

38.88

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.


Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km
ahead of Car A. Car A is travelling at 60 km · while Car B at 50 km 1. They both start at 12:00
hours. At what time Car A will overtake Car B?

Answers

Answer:

2 o'clock

Step-by-step explanation:

Their 'closing speed' is 60 - 50 = 10 km/hr

they have 20 km between them

 at closing speed this will take   20 km / 10 km/hr = 2 hours for the cars to meet....this would be at 14:00    or  2 oclock

Adelle keeps track of the time her bus arrives at her stop. Since she has been keeping track, her bus has arrived on time 16 days and has been late on 4 days. Based on her data, what percentage of the time should Adele expect the bus to be late?

Answers

Answer:

25%

Step-by-step explanation:

4 days of 16 days is 25% or 1/4

Hope this helps! ;-)

4 divided by 5yards 1 foot

Answers

4 divided by 5yards and 1 foot is. 1 yard and 1 foot

HELP PLEASE 100 POINTS!!!
Given that triangle PHT is a right triangle and Line HY is an altitude, what is the missing justification in the proof that (PH)^2 + (HT)^2 = (PT)^2?

Answers

The correct option is D.
Step-by-step explanation:
Given information: Triangle PHT is a right
triangle and Line HY is an altitude.
According to the reflexive property, a side or
an angle is congruent to itself.
If A is an angle of a triangle then using
reflexive property
LAN LA
¿PIT ~ LYT
(Both are right angles)
IT ~ LT
(Reflexive property)
APHT~ AHYT
(AA rule of similarity)
Other statements and reasons are present in
the table.
The missing reason is reflexive property.
Therefore the correct option is D.

The missing reason is reflexive property.

Therefore, the correct option is D.

What is a triangle?

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle.

Given that a triangle PHT is a right triangle and Line HY is an altitude.

According to the reflexive property, a side or an angle is congruent to itself.

If A is an angle of a triangle, then using reflexive property.

∠A ≅ ∠A

∠PHT ≅ ∠HYT (Both are right angles)

∠T ≅ ∠T (Reflexive property)

ΔPHT ~ ΔHYT (AA rule of similarity)

Other statements and reasons are already in the table.

Hence the correct option is D.

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What is the image point of (1, -2) after a translation right 4 units and down 4 units?​

Answers

Answer:

Hello!!!!

THE ANSWER: (5, -6)

Please read the explanation... it always helps... trust me...

Step-by-step explanation:

Okkeeeee lets beginnnn....

A translation is when you move a point of shape in a coordinate plane

so a translation of a point to the right means you are moving the point to the right of the coordinate plane meaning the positive side of the x-axis... so in this case you will need to add 4 to the x-coordinate....

simarily to the "down four units"

moving it down means subtraction.... meaning you need to subtract 4 from -2 which gets you -6...

I REALLY HOPE THIS HELPS!!! :)

| 3. Two lines are intersecting. What is the
value of x?
(x+23)
(2x + 4)°

Answers

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180

3x + 27 = 180

3x = 153

x = 51

a) Let A x B = {(1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6)} then, find A, B, n(A), n(B)​

Answers

Step-by-step explanation:

A={1,2,3}

B={5,6}

n(a)=3

n(b)=2

Select the correct answer.
Given: , and

Prove:


Statements Reasons
vertical angles theorem
given
given
alternate interior angles theorem
??

definition of congruence
Which step is missing in the proof?

Answers

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

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You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo: 8,4,14,16,8

Find the Average Age
Standard Devaluation

Answers

Answer:

the answer is 10

Step-by-step explanation:

(8+4+14+16+8)/5

. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j

Answers

5v+8w

put values

5(-i+2j)+8(-3i+4j)

Do like you do algebraic addition

-5i+10j-24i+32j-5i-24i+10j+32j-29i+42j

Option A

Help please
50 points

Answers

Answer:

The answer would be B

Step-by-step explanation:

Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.

Answers

The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

What is technology?

Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.


The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

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Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?

Answers

The advance tickets were 35 in number and the same day ticket will be 30 in number.

What will be the number of tickets?

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

[tex]N_A=[/tex] Number of the advance tickets

[tex]N_S=[/tex]Number of same-day tickets.

The equations made by the given data will be:-

[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]

By solving the above equations:-

[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

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How do I solve

[tex]2x^{2}+5x+2=0[/tex]

Answers

see the attachment...

hope it helps...!!!

Answer:

There are two solutions.

[tex]x_1 = -0.5\\x_2 = -2[/tex]

Step-by-step explanation:

Step 1

Use the formula of ax^2 + bx + c = 0 to find the coefficients.

[tex]a = 2\\b = 5\\c = 2[/tex]

Step 2

[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]

[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]

Step 3

[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]

Step 4

[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]

[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]

[tex]x_2=-2[/tex]

Hope this helps.

two supplementary angles have measures 6x° and 12x°. find each angle measure’

Answers

180 = 6x + 12x

180 = 18x

10 = x

The answers are sixty degrees and one hundred twenty degrees

47/6m+n- 7/2m-6/5n
Simplify

Answers

Answer:

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{47}{6}m[/tex] to  [tex]\frac{47m}{6}[/tex]

[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]

2) Simplify [tex]\frac{7}{2}m[/tex]  to [tex]\frac{7m}{2}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]

3) Simplify  [tex]\frac{6}{5}n[/tex]  to[tex]\frac{6n}{5}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]

4) Collect like terms.

[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]

5) Simplify.

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

If f(x) = 3x - 1 and g(x) = x + 2 , find (f + g)(x)

Answers

Answer:

Answer:4x + 1

Step-by-step explanation:

(f + g)(x)=(3x - 1)+(x + 2)

=3x + x - 1 + 2

=4x + 1

What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с

Answers

Answer:

√3 is the answer

Step-by-step explanation:

the value of tan60 is √3

Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?

Answers

Answer:

9000 grams

Step-by-step explanation:

1 kg = 1000 g

1 * 9 kg = 1000 * 9 g

9 kg = 9000 g

5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry

Answers

TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.

Vertical line of symmetry

Analysis

Volume=Base area×height

If the rectangle rotated around horizontal line of symmetry

V1=Ah=πr²h

=π×9×10

=90π

If the rectangle rotated around short line

V2=Ah=πr²h

=π×10²×6

=π×100×6

=600π

If the rectangle rotated around vertical line of symmetry

V3=Ah=πr²h

=π×5²×6

=π×25×6

=150π

Therefore the correct option is C.

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What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5

Answers

Answer:4/3

4/3

Step-by-step explanation:

Can you match the teacher's comments to the definitions?

Answers

Answer:

Daniel =Were you thinking of perpendicular lines?

Oris= It seems like you've got the basic idea, but your definition could be more precise.

Kaoris= Yes well done...

Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.

Answers

According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.

How to calculate the percentage of students who received the requested classes?

To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:

144 ÷ 100 = 1.44

64 ÷ 1.44 = 44.44%

According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.

To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.

356 ÷ 100 = 3.56

315 ÷ 3.56 = 88.48%

According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.

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Select the expression that represents the following statement multiply 6 by 2, and then subtract 4. 2 - 4x6
6 x 2 - 4
6 + 6 + 4 - 2
6 × 4 - 2​

Answers

the answer is the second one, 6x2 - 4

HELP ASAP PLEASE!!!!!!!

Answers

1st , and 3rd will be your answer

Write 6 41 100 as a decimal number.

Answers

Answer:

From my calculation I think it is 6.4×10^5

It is in standard form

OR

641100÷100,000=6.411

I'm not sure yet,but you can confirm it

[tex]\huge\textbf{Hey there!}[/tex]


[tex]\huge\textbf{Assuming:}[/tex]

[tex]\mathsf{6\dfrac{41}{100}}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathsf{6\dfrac{41}{100}}[/tex]

[tex]\mathsf{= \dfrac{6 \times100 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{600 + 41}{100}}[/tex]

[tex]\mathsf{= \dfrac{641}{100}}[/tex]

[tex]\mathsf{= 641\div100}[/tex]

[tex]\mathsf{= 6.41}[/tex]


[tex]\huge\textbf{Therefore, your answer should be: \boxed{\mathsf{6.41}}}\huge\checkmark[/tex]


[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]


f(x) = x² + 2x − 3
Find f (2)
f(2) is equal to type your answer...

Answers

Answer:

f(2) = 5

Step-by-step explanation:

Given: f(x) = x² + 2x - 3

We are asked to find the value of the function when x = 2.

In the function, substitute 2 as the value of x and simplify:

f(2) = (2)² + 2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

When x is equal to 2, the value of the function is 5.

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This is frying my brain, can anyone help and explain? ​

Answers

Answer:

1) Answer is D

2) Answer is C

3) Answer is D

Step-by-step explanation:

Problem 1

Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.

Problem 2

There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.

Problem 3

There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.

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Finally, Hummingbird raised his wing to stop the debate."I do not think there are enough fish left in the river for both of us," he said. "Let's have a race. Whoever reaches the dead tree on the other side of the hills first owns all the fish. The loser has to find something else to eat."Heron agreed. They prepared to race. Hummingbird was certain that he would win. He watched Heron as she awkwardly stretched her wings and prepared to fly. This will be like catching fish in a barrel, he thought with a grin.Hummingbird zoomed past Heron as soon as the race began. He flew so far ahead that he lost sight of her behind him. He slowed down as he passed a patch of wildflowers. They smelled so sweet that he had to stop and look at them more closely. Hummingbird just had to try some of their nectar. He drank until his belly was heavy and his eyelids drooped. Perhaps just a short nap, he thought, as he settled himself into a nest of soft leaves.It was late in the day when Hummingbird woke up. He stretched his wings and glanced at the sky. He could just make out the shape of Heron, flying slowly but surely toward the dead tree. She was almost done with the race! Hummingbird zipped into the air and flew as fast as he could, but it was too late. Heron reached the tree first. From that day forward, Heron owned the fish, and Hummingbird lived on nectar.In both mythical texts, greedy characters choose to try to trick or manipulate other characters. What is different about the experiences of the shark prince and Hummingbird? Only Hummingbird's manipulation of Heron is discovered as he drinks nectar and naps. Only Hummingbird's manipulation of Heron is unsuccessful because he drinks nectar and naps. Only the shark prince's tricking of the fishermen is successful because he keeps eating the fish. Only shark prince's tricking of the fishermen remains a secret as he keeps eating the fish. Whats the answer????