15
The table below shows the lengths in
centimeters (cm) of a sample of 5 leaves
from a tree.
Leaf Length (cm)
14.2
2 13.8
12.6
13.4
5 11.5
WIN
3
4
?
A 6th leaf is added to the sample and its length is
measured. Its measure increases the mean value of
the sample of leaves but decreases the median value
of the sample of leaves. What is a possible
measurement for the length of the 6th leaf?
A) 13.1 cm
B) 13.3 cm
C) 13.4 cm
D) 13.7 cm

15The Table Below Shows The Lengths Incentimeters (cm) Of A Sample Of 5 Leavesfrom A Tree.Leaf Length

Answers

Answer 1

The mean measurement is the average value of the leaves

The possible measurement of the 6th leaf is 13.3

How to determine the possible value of the 6th sample

The dataset is given as:

14.2, 13.8, 12.6, 13.4 and 11.5

Sort the data elements

11.5, 12.6, 13.4, 13.8 and 14.2

Calculate the mean

[tex]\bar x = \frac{11.5 + 12.6 + 13.4 + 13.8 + 14.2}{5}[/tex]

[tex]\bar x = \frac{65.5}{5}[/tex]

[tex]\bar x = 13.1[/tex]

So the mean is 13.1 and the median is 13.4

For the mean to increase, the 6th dataset must be greater than 13.1.

For the median to decrease, the 6th dataset must be less than 13.4

From the list of given options, the element that satisfy the above highlights is 13.3

Hence, the possible measurement of the 6th leaf is 13.3

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Related Questions

perimeter of an triangle

Answers

Answer:

hypotenuse + adjacent + opposite

Step-by-step explanation:

The three names of the sides on a triangle

Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a freshman. Round your answer to the nearest thousandth.

Freshman Sophomore Junior Senior
Morning: 19 2 6 16
Afternoon: 17 3 13 15
Evening: 8 14 9 7
A. 0.105
B. 0.182
C. 0.386
D. 0.432

Answers

Answer: 0.432

Step-by-step explanation: I just took the test!

The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.

What do we mean by the Probability of an event?

The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,

The probability of an event

= number of outcomes favorable to the event/total number of outcomes

How do we solve the given question?

We are asked about the probability that the student preferred morning classes given he or she is a freshman.

Total number of freshmen = 44 (in table)

Number of freshmen students who preferred morning classes = 19 (in table)

∴ The probability that the student preferred morning classes given he or she is a freshman = number of freshmen students who preferred morning classes/total number of freshmen = 19/44 ≈ 0.432

∴ The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.

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what are the coordinates of the image of point B after the triangle is rotated 270 On the Origin ​

Answers

Answer:

(4,2) hopefuly right hope that helps u out

Step-by-step explanation:

A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.

Answers

Answer:

the answer is B

Answer:

B

Step-by-step explanation:

[tex]\sqrt[4]{80} =\sqrt[4]{16 \cdot 5}[/tex]

[tex]\sqrt[4]{16 \cdot 5} =\sqrt[4]{16} \sqrt[4]{5} =2\sqrt[4]{5}[/tex]

The second line is incorrect as [tex]\sqrt[4]{16} =2[/tex]

A rectangular prism is 15 inches long, 8 inches wide, and 6 inches high. What is the volume of a pyramid that has the same height as the prism.

Answers

Answer:

[tex]240 in^3[/tex]

Step-by-step explanation:

I'm assuming the pyramid base has to fit the prism, else the answer would be "as big as you want.

Now if you compare the formulas for the volume of a pyramid and a prism, you notice that the only difference is a factor of 1/3 (it will take 3 pyramids to fill a prism).

Volume of the prism is the product of the sides, ie [tex]15\cdot8\cdot6 = 720 in^3[/tex]. Volume of the pyramid will be 1/3rd of that, or [tex]240 in^3[/tex]

Graph rhombus STUV with S(-6, 2), T(2, 8), U(10, 2), V(2, -4) and its image after a dilation of 1/2. What are the coordinates of V'?

(4, -8)


(4, 8)


(½, -2)


(1, -2)


(1, 1)

Answers

Answer: (1,-2)

Step-by-step explanation:

3 in.
Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for at.
The volume of the sphere is about
in?

Answers

Answer:

Step-by-step explanation:

Remark

That word about is a killer. It's a good thing they tell you they want the answer rounded to the nearest tenth, otherwise you'd be stuck.

Givens

pi = 3.14

r = 3

Formula

V = (4/3) pi r^3

V =  (4/3) * 3.14 * 3^3

V =  (4/3) * 3.14 * 27

V =  (4/3) * 84.78

Answer: V = 113.0 in^3

What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46? 12. 5 15. 5 16. 5 18. 5.

Answers

Answer:

z = 18.5

Step-by-step explanation:

2(4z − 6 − 6) = 170 − 46

2(4z - 12) = 124

8z - 24 = 124

8z = 148

z = 18.5

PLEASE HELP! I WILL MAKE YOU BRAINLIST

Answers

Answer:

A. y = 5x

Step-by-step explanation:

In order to find the answer, all you have to do is see the unit rate, which is the number of balls per minute, and if you look at the chart, it shows that for every 1 minute that passes, 5 balls are thrown, therefore, the answer would be:

y = 5x

Hope this helps :)

Answer:

y=5x

Step-by-step explanation:

y=5x

if you put the graph as a table :

x         y

1          5

2         10

3         15

4          20

constant is y/x=5/1=10/2=15/3=20/4=5

1. Approximate the value of

Answers

Answer:

[tex]\sqrt{3} =1.7\\\sqrt{3/48} =0.04\\\sqrt{48} =6.9\\\frac{\sqrt{3} }{\sqrt{48} } =0.25[/tex]

Step-by-step explanation:

I wasn't sure which one you were referring to

Which of the following is a step in multiplying 3/4 by 3/5? 2 А Adding 3 and 3 B. Finding the lowest common denominator of 4 and 5 C Multiplying 3 and 3 D Multiplying 3 and 5​

Answers

Answer: C) Multiplying 3 and 3

=================================================

Explanation:

When you multiply fractions, you multiply the numerators together. So in this case we multiply 3 and 3 getting 9 as the updated numerator.

We also multiply the denominators together. The updated denominator is 4*5 = 20.

Overall, (3/4)*(3/5) = (3*3)/(4*5) = 9/20

The fraction 9/20 cannot be reduced because 9 and 20 do not have any common factors other than 1.

We don't have to worry about getting the LCD (lowest common denominator) since that is only applicable for adding and subtracting fractions.

(( please help ))7x ( 5+ 8)=

Answers

it’s just 13 times 7 which is 91

Answer:

91

Step-by-step explanation:

7* ( 5+ 8)

Using PEMDAS

We do the parentheses first

7* ( 5+ 8)

7* 13

Then multiply

91

hey what's da ans?
3(9)+3(7)

Answers

Answer:

48

Step-by-step explanation:

Given the following question:

[tex]3(9)+3(7)[/tex]

To find the answer we need to remember when there is no operation between two numbers and the only thing that is separating them is a paratheses, we know to multiply the two numbers together.

[tex]3(9)+3(7)[/tex]
[tex]3\times9+3\times7[/tex]
[tex]3\times9=27[/tex]
[tex]3\times7=21[/tex]
[tex]27+21[/tex]
[tex]27+21=48[/tex]
[tex]=48[/tex]

Your answer is "48."

Hope this helps.

Answer:

48

Step-by-step explanation:

use PEMDAS

there is no Parenthesis

there is no exponets

there is multiplication

you can rewrite the question like this:

(3x9) + (3x7)

when you do the multiplication you will end up with 27+21. add them and you will get your answer of 48.

or

group the factors. since both of them have 3 in them you add the other quanities which is 9 and 7. you will now have 3(16). multiply it and you will get 48 as well

can someone help me please?

Answers

Answer:

9,10

Step-by-step explanation:

86 square root is 9.2

9 is less than 9.2

10 is bigger than 9.2

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

1 number angle represent an angle vertical to <UXR

4
Find the distance between A (3, 4) and B (15, 13).

Answers

Answer:

15

Step-by-step explanation:

use distance formula

**Check my answer please!**

Solve for x
4/9(18x − 36) = −88

A) 6
B) 13
C) 17
D) 21
I got -9 I don't know what I did wrong tbh.

Answers

Answer:

b 13

Step-by-step explanation:

I think that's the answer but I'm not sure

i think the answer would be B (13). i plugged each of the numbers in and that’s the only one that got 88. i couldn’t find out where the negative comes from though. when i did it by distributing i also got -9 so idk

A flying object is moving at 150 m/s. It makes a complete and final stop in 12 seconds. Calculate the object’s acceleration.

Answers

Answer:

-12.5 m/s²

Step-by-step explanation:

v (final velocity) = 0

u (intial velocity) = 150 m/s

t = 12s

a= v-u/t

a = 0 - 150 / 12

a = -12.5 m/s²

Helppppp pleaseeeee

Answers

Answer:

3.75

Step-by-step explanation:

5 tables every 2 months,then 30 days (30 days in 1 month) / 8 ordes = 3.75

HEEEEEEEEELLLLLPPPPP
solve for x

Answers

Answer:

x = 20°

explanation:

∠6 = 45°, vertically opposite anglestwo angle inside opposite parallel lines, sum up to 180°

solve:

5x + 35 + 45 = 180°

5x + 80° = 180°

5x = 100°

x = 20°

Answer:
X = 20

Explanation:
45 degrees is congruent to angle 2 (angle 2 is 45 degrees)

Angle 2 and 5x + 35 are complementary angles (they equal 180 degrees)

45 + 5x + 35=180
80 +5x=180
5x=100
X=20

Choose the correct equation and answer to solve for x shown below

Answers

Answer:

it would be 3^2+4^2=x^2 and x=5

Step-by-step explanation:

3^2+4^2=c^2

9+16=c^2

25=c^2

c=5

How are mass and volume related on this graph?
As the mass decreases the volume increases
There is no relation
As the volume increases the mass decreases
As the mass increases, the volume also increases

Answers

the answer is the last one: as the mass increases, the volume also increase
explanation: the line is going up and to the right and when u pick any point on the line it only gets higher from there and increasing is getting higher

The mass increases, the volume also increases.

What is proportionality?

A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.

A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other. To make it clear let us consider we have two variables x and y where, y=2x. The variable that is made to alter or change is called the independent variable.

As, from the graph we can see that the the volume represented by x axis and the mass represented by y axis show a direct relation.

As, the volume increases horizontally then the mass increases vertically.

let us take the coordinate (5, 25), (10, 50), (20, 100)

from the above coordinate we can see that the coordinate for both x and y axis increases.

Hence,  mass increases, the volume also increases.

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I will mark you brainliest

can someone pls tell me the answer i already tried the option 4 and it was wrong

Answers

Answer:

2 and 3\4

Step-by-step explanation:

hope that is right

Answer: 3
There are 4 tadpoles that are 3/4 inches long
The total length of this is: 3/4 x 4
3/4 x 4 = 12/4 = 3

One of these tadpole is 3/4 inches and it wants the length of all 4 of them together.
Hope this helps

Stephanie needs to buy birthday gifts for her family. She wants to stick to a budget of . $150.She buys a board game for her brother that costs,$49.50 a book for her sister that costs,$19.99 and a toy for her dog that costs.$15.00 She needs to buy a gift for her spouse, but she cannot decide between a watch that costs.$75.00 and a pair of shoes that costs. $59.99
Part A: How much has Stephanie spent on gifts so far?

Part B: How much does Stephanie have left to spend on gifts?

Part C: Which gift should Stephanie buy? Justify your answer.

Answers

part a: so far stephanie’s spent $84.49
part b: she has $65.51 left to spend
part c: stephanie should buy the shoes. it’s better for her to buy the shoes because she doesn’t have enough for the watch (costs $75) and the shoes are cheaper ($59.99).

Answer:

A. 84.50

B. She has 65.5$ left

C. Shoes

Step-by-step explanation:

A. If you add them it is 84.5

B. subtract 150 by 84.5 it is 65.5

C. Shoes because they are within the budget

HELP ME PLSS ASAP
2. (03.01 LC)
Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14. (5 points)
-50
-5
2
8

Answers

It’s 2,
4(2)+6
8+6
14
I learnt this forever ago so I don’t remember how to explain it but I kinda just used the process of elimination

if x = 5 and y = 3, then xy - 2x =

Answers

Answer:

5

Step-by-step explanation:

First, we will need to replace the x and ys with the values.

So the equation will be this:

(5) x (3) - 2(5)

Now, following PEMDAS, we will do the M in PEMDAS (aka multiplication left to right)

Now our simplified expression is this:

15 - 10

Now, following PEMDAS, we will do the S in PEMDAS (aka subtraction left to right)

Therefore, the answer is: 5

Find the perimeter of a rectangular block of land 3p metres long and 4Q metres wide

Answers

Answer:

86 is the correct answer

Directions: Refer to the given figure below:
Write an equation to represent angle relationships to be able to
solve for the unknown measure of angle. Show your solution
correctly and neatly.
x
70°
(2x + 10)°
solve for x
RUBRICS:
Learning Task: Solves for the value of variable x, and finds the measu
of the unknown angle.

Answers

Answer:

if the angles are supposed to be equal then x = 30

2 × 30 = 60 + 10 = 70°

(1). -4 – x=3x +6

(2). X – 4= -3x + 12

(3). -12 + 3x = -x + 8

(4). 3x – 10= -2x + 20

(5). -4 – x = 10- 3x

Answers

Answer:

2 over 5

Step-by-step explanation:

1.-4-x=3x+6

  6+4=3x+x

10=4x

Which number can divide 10 and 4 and that number is 2.

2 divided by 5.

A tree in Austin's backyard is 5.22 meters tall. If the tree grows 0.6 meters each month, for how many months has the tree been growing?

Answers

Answer:

6.525 or 6.53

Step-by-step explanation:

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