2.S.3 In a behavioral study of the fruitfly Drosophila melanogaster, a biologist measured, for individual flies, the total time spent preening during a 6-minute observation period. The following are the preening times (sec) for 20 flies:54 34 24 10 16 52 76 33 31 46 24 18 26 57 32 25 48 22 48 29 19 (a) Determine the mode (s). (b) Calculate the range. (c) Construct a dotplot of the data
Answers
Answer:
Step-by-step explanation:
The raw data given can be properly expressed by a frequency table. The frequency table formed from the data given is attached to this answer.
From the frequency table,
(a) The modes of the data are 24 and 48. Thus, the data is said to be bimodal.
(b) Range = height value - least value
= 76 - 10
= 66
Range = 66
(c) A dot plot is a pictorial graph of the plot of the given data. The plot of the given data is attached to this answer.
Related Questions
Solve the following inequality using both the graphical and algebraic approach:
x/2 + 1 < 3x + 2
Answers
Answer:
C. xz-0.4
Step-by-step explanation:
I calculated logically
there are 5 people in Edgar's family. they have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin bread he will get?
Answers
Answer:
3 divided 5
Step-by-step explanation:
Edgar will get 3/5 or 0.6 part of pumpkin bread.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Total numbers of people in Edgar's family = 5
Total number of pumpkin bread = 3
Since, 3 bread are divided equally among 5 people,
implies that, bread will divide in the same ratio,
5 people = 3 bread
1 people= 3/5 bread
1 people= 0.6 part of bread
So Edgar will get 3/5 or 0.6 part of bread.
To know more about Ratio on:
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Find the missing angles.
Answers
Answer:
w=30.5 y=29
Step-by-step explanation:
2w=61 so w=30.5
61+y=90 so y=29
Explanation
solve to find X :3 ≥ -3x
Answers
Answer:
[tex]3 \geqslant - 3x \\ \frac{3}{ - 3} \geqslant \frac{ - 3 x}{ - 3} \\ - 1 \leqslant x[/tex]
Michael borrowed $1000 on a 2 year loan. He is charged 5% simple interest per year.
How much interest is he charged for 2 year? What is the total amount he has to pay
back?
O $1000, $3000
O $10, $1010
O $50, $5000
O $100, $1100
Answers
Answer:
the last choice
Step-by-step explanation:
simple interest means there is only interest on the original principal (1000$)
so 2 years of 5% would be 10%, 10% of 1000 is 100.
total amount = interest+principal, so it is 100, 1100
If f(x) = -6x + 1, what is f(1/2x-1) equal to
Answers
By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):
[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]
Now, simplify the expression:
[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]
So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
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The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.
Answers
d=25
Let’s name length y and width x
x+x+y+y=70
2x+2y=70
Now we need to write phytagoras theorem for the second equation. x^2+y^2=25^2
x^2+y^2=625
{2x+2y=70
{x^2+y^2=625
{x=35-y
{(35-y)^2+y^2=625
Now just solve it for y yourself❤️hope this helped
Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and angle H is (11 x + 10) degrees.
What is the greatest angle measure in the diagram?
95o
105o
119o
180o
Answers
Answer:
119
Step-by-step explanation:
Answer:
C. 119 degrees
HELP PLEASE
Given line AB Use similar triangles to prove that the slope AB is the same between any two points on the line.
1. Create two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle. You may choose the given points, A(-5, -1) and B(4,3.5), as two of the points used to create the triangles. For each point used to create the triangles, name the point with a capital letter and coordinates,
2. For the pair of similar triangles created in Part 1, list three pair of corresponding angles that are equal and three sets of proportionate sides.
3. Use the pair of similar triangles created in Part 1 to demonstrate that the slope of line is the same between any two points on the line.
In your final answer, include a copy of your graph labeling original line AB, and all of Parts 1-3. Be sure to show the
vertical and horizontal lengths used for the rise and run of the slope. To submit your answers, use a word processing program or handwritten solutions.
Answers
Answer:
I attached the image that has all of the elements. If I missed something, please let me know and I will fix it.
What is the value of the expression?
Answers
Answer:
2/0 or infinity
Step-by-step explanation:
Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account that charges $4 plus $0.20 per check. For what number of checks is the monthly cost of the two accounts the same? What is the cost?
Answers
Answer:
10 number of checks.
Cost = $6
Step-by-step explanation:
Given that:
Fixed Charges of first bank = $5
Charges of first bank per check = $0.10
Fixed Charges of second bank = $4
Charges of second bank per check = $0.20
To find:
Number of checks such that the charges for the banks become the same?
Solution:
Let the number of checks = [tex]x[/tex]
Cost for the first bank for [tex]x[/tex] checks = $5 + $0.10[tex]x[/tex]
Cost for the second bank for [tex]x[/tex] checks = $4 + $0.20[tex]x[/tex]
As per question statement, both the costs are the same.
Comparing the values:
[tex]5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10[/tex]
So, for 10 number of checks the cost will be same.
The cost = 4 + 0.20 [tex]\times[/tex] 10 = $6
The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for Nu 1280. At what price should the watch be sold to make 25% profit
Answers
Answer:
2,000
Step-by-step explanation:
The computation of the price that should be sold for making 25% profit is shown below:
Let cost price be x
Now the equation would be
(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100
1,920 - x = x - 1,280
2x = 3,200
x = 1,600
Now the sale price would be
= 1,600 × 1.25
= 2,000
Determine the solutiong to the equation. -8x - 2(7 + 2x) = -6(2x + 5) A. No solution B. One solution C. Infinite
Answers
your answer is
C. infinite
good luck :)
Helpppppppppppppppppp
Answers
Answer:
1 and 4
Step-by-step explanation:
Answer:
1, 4
:):):):):):):):):):):)
Find the value of (x) in the triangle shown below.
Answers
180-124= 56°
x=56°
Which number comes next in the pattern? 89, 77, 65, 53,
CLEAR
SUBMIT
SUBMIT
12
41
42
52
O
Answers
Answer:
41 comes next then 29 then 17
89-12 = 77
77-12= 65
65-12= 53
53-12= 41
it’s a pattern just by subtracting 12
ANSWER: 41
15 to 18 =
What are 3 equivalent ratios to 15:18
Answers
Answer:
30 : 36
45 : 54
60 : 72
A forest covers 73,000 acres. A survey finds that
0.3% of the forest is old-growth trees. How many acres of
old-growth trees are there?
Answers
Answer:
0.3% of 73,000 acres
in acres its 219
in square foot its 9,539,640
and in square yard its 1,059,960
Step-by-step explanation:
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Answers
Answer:
Yes, hannah is correct.
Help solve inequality
Answers
Answer:
n ≥ -95
Step-by-step explanation:
[tex]\frac{n}{-5}[/tex] -4 ≤ 15
[tex]\frac{n}{-5}[/tex] ≤ 19 add 4 to 15
n ≥ -95 multiple -5 to 19; sign flips when multiplying or dividing an inequality
Matt is rounding some numbers to the nearest tenth. Select the number that will have a 4 in the tenths place after rounding.
4.04
5.39
6.34
7.48
Answers
Answer:
5.39
Step-by-step explanation:
4.04 rounded will be just 4
5.39 rounded is 5.4
6.34 rounded is 6.3
7.48 rounded is 7.5
When rounding if the second number is less than 4 you don't change it like in 6.34 that 4 after the 3 means it will just be 6.3 BUT if the second number is 5 or higher you round up on like with 5.39 it became 5.4 and with 7.48 it became 7.5
is this right I'm am super confused please help the picture is what I'm saying if you don't under stand
Answers
Answer:
No
Step-by-step explanation:
20/10 = 2/1 (divide top and bottom by 2)
15/30 simplifies to 1/2
(divide top and bottom by 15)
The scale of a truck is 3.7 cm
Answers
Answer:
that truck must be straight fire
breakout edu keyla winter wonderland question
i CAN'T DO THIS I've tried so many times how do you do it
Answers
Answer:
due i feel you i suck at those and my teacher counts THEM AS A GRADE AAA GRADEE!!!!
What is the scale factor of 9/10=21/x what is x
Answers
X=210/9
X=23.33........
What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?
Answers
Answer:
y=1/3x-4
Step-by-step explanation:
plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!
please help Pythagorean theorem
please answer all the question
Answers
Answer:
a)5
b)17
c) ?
[tex]d) 3\sqrt{2}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
Formula: [tex]a^{2} + b^{2} = c^{2}[/tex]
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]4^{2} +3^{2} = c^{2}[/tex]
16 + 9 = [tex]c^{2}[/tex]
25 = [tex]c^{2}[/tex]
5 = c
__________________________________________________________
B.)
[tex]15^{2} + 8^{2} = c^{2}[/tex]
225 + 64 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
17
__________________________________________________________
C.)
[tex]11^{2} + 14^{2} = c^{2}[/tex]
121 + 196 = [tex]c^{2}[/tex]
317 = [tex]c^{2}[/tex]
17.8
__________________________________________________________
D.)
[tex]3^{2} + 3^{2} = c^{2}[/tex]
9 + 9 = [tex]c^{2}[/tex]
18 = [tex]c^{2}[/tex]
4.2
Sry my Wi-Fi is actin up
three blocks are placed together as shown below. 3.8cm 8.7cm 9.4cm
Answers
List all the factor pairs for 48. make a table to help and add the table.
Answers
Answer:
The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Step-by-step explanation:
The choices are<,>,= and greater then or equal to
Answers
Answer: equal
Step-by-step explanation:
The square root of 35 is 5.9
5 9/10 = 5.9