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
Answers
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 sampleThe 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
Read more about mean and median at:
https://brainly.com/question/14532771
Related Questions
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]
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. 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
4
Find the distance between A (3, 4) and B (15, 13).
Answers
Answer:
15
Step-by-step explanation:
use distance formula
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
=================================================
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! 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=5xStep-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
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
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°
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
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
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
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:
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
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]
perimeter of an triangle
Answers
Answer:
hypotenuse + adjacent + opposite
Step-by-step explanation:
The three names of the sides on a triangle
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
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
Find the perimeter of a rectangular block of land 3p metres long and 4Q metres wide
Answers
Answer:
86 is the correct answer
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
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
(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.
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
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.
Learn more about the probability of an event at
https://brainly.com/question/7965468
#SPJ2
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 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
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
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
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
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
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:
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:
(( please help ))7x ( 5+ 8)=
Answers
Answer:
91
Step-by-step explanation:
7* ( 5+ 8)
Using PEMDAS
We do the parentheses first
7* ( 5+ 8)
7* 13
Then multiply
91
**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
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
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.
Learn more about graph here:
https://brainly.com/question/17267403
#SPJ2