56.6 years is the mean of the modes of the given set of numbers.
What are the mean, median, and example?
The most frequent number, or the one that happens the most frequently, is known as the mode.
Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.
The mean is calculated by adding together all the values
= (54+54+54+55+56+57+57+58+58+60+60
= 623
= 56.6 years.
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In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.
A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b
Answer:
x=cb-ad/bd
Step-by-step explanation:
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational numberGiven nonzero integers:
a, b, c, d
If a/b is added to xa/b + x
the sum is c/da/b + x = c/d
prove x to be a rational number
a/b + x = c/d
subtract a/b from both sidesa/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Learn more about rational number:
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Solve for x in the picture below
Answer:
x = 16
Step-by-step explanation:
The sum of the exterior angles of a triangle = 360°
Sum the exterior angles and equate to 360
5x + 12 + 10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 15
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
Let's mark the measures of the internal angles as A, B and C.
We know that
A + B + C = 180deg
180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg
3*180deg - (A + B + C) = (24x - 24)deg
540deg - 180deg = (24x - 24)deg
360deg = (24x - 24)deg
360 = 24x - 24
384 = 24x
15 = x
What is the length of the hypotenuse?
18 cm
6 cm
(not drawn to scale)
360 cm
B 6 10 cm
А
144 cm
D 216 cm
Answer:
B
Step-by-step explanation:
just use pyth then you'll get the answer
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be the hypotenuse, then
h² = 6² + 18² = 36 + 324 = 360 ( take the square root of both sides )
h = [tex]\sqrt{360}[/tex]
= [tex]\sqrt{36(10)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{10}[/tex]
= 6[tex]\sqrt{10}[/tex] → B
2. What is the value of x?
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
The box plot represents this data set
20,25,30,38,40,42,45,50,65,70
what value does the letter E represent on the box plot of the data?
I------------| | |-----------|
A B C D E
Answer:
Step-by-step explanation:
In your diagram, E appears to be the MAXIMUM value of the data (70).
what is the slope of the line below?
Answer:
1/2
Step-by-step explanation:
To find slope just compare two points on the graph and then put them into fraction form like so y/x
Please help me with this question!
Answer:
9 plates and mugs
He could buy 9.375
but you cant buy a portion of a plate so you buy 9
Write 2 19/20as a decimal.
20
X
Answer:
2.95
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
please help, no links, will give brainiest
Answer:
? = 20
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )
15 ? = 300 ( divide both sides by 15 )
? = 20
The head of a carriage bolt is circular, as shown. The head of this bolt has a diameter of 20 millimeters.
Which measurement is closest to the area of the head of this bolt in square millimeters?
A. 1,256 square millimeters
B. 63 square millimeters
C. 314 square millimeters
D. 31 square millimeters
WILL CROWN BRAINLIEST!!! ALGEBRA!
Max and Maggie have to clean the house. It takes Max 9 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Answer:
3 hours
Step-by-step explanation:
Max cleans the house in 12 hours
Max in 1 hour cleans: 1/12 part of the house
Maggie cleans the house in 4 hours
Maggie in 1 hour cleans: 1/4 part of the house
In 1 hour they together do: 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3 work
1 hour===1/3 work
X hours== 1 work
X/3 = 1
X = 3 hours.
Hence, they together complete the work in 3 hours.
And so, the sister is correct.
Hope it helps.
(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.
Answer:
first expand the brackets
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.
The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?
A line, y = mx + b, passes through the point (1, 6) and is parallel to
y = 4x + 6. What is the value of b?
Answer:
Step-by-step explanation:
Let the line to be found be Line 2
Given:
Line 1 :
y = 4x + 6
Since y = mx + b
We can substitute and find that the slope of Line 1 is 4
Therefore slope of Line 2 = (4)
Line 2:
Point - (1,6)
Slope - 4
Therefore: 6 = (4)(1) + b
So equating it we get : b = 2
Answer = 2May someone please help me with this:)
Answer:
i think its 64
Step-by-step explanation:
Graph the functions y=4^x+4-4 and y=4^x describe the translation in words between these two functions starting from y=4^x to y=^x+4-4.
Answer:
The two graphs are on the same place.
The translation from the first one to the second one implies a shift upwards of 4 units, and then a shift downwards of 4 units, resulting in the starting position.
A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity, the drive-in can hold 72 cars. The function C(n) =25n represents the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?
Answer:
Domain is: 0 ≤ n ≤ 75 where n is an integer
Step-by-step explanation:
Is 36a + 24 equivalent to 4(9a + 6)
True
False
Answer:
True!!
4(9a+6) using the distributive property is 36a+24
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
We have a 4, next to an (.
We multiply the four.
[tex]4[/tex]×[tex]9a[/tex]
4×[tex]6[/tex]
= 36a+6
the volume of a right circular cone is 9picm 2 with a height of 3cm. find the length of the radius
Step-by-step explanation:
The answer is 3 cm .
I hope it helps you
can i get some help please i would really appreciate it ;)
PLEASE help it’s due today at 10pm
using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answer:
.7
Step-by-step explanation:
Kris is performing an experiment in math class using a bag of colored
blocks. He will draw one block out of the bag at a time and record its
color. He has three blue blocks, two red blocks, and one green block.
Which of the following represents the sample space of the bag?
1) blue, blue, blue
2) red, green, blue
3) blue-red, blue-green, red-green
4)blue, blue, blue, red, red, green
Answer:
The answer is red, green, blue.
Step-by-step explanation:
Evaluate the expression when a = 3.
2a =
Answer:
6
Step-by-step explanation:
replace a by 3
when a=3
2(3)=6
pls help i need to pass algebra 2 THANK U SO MUCHHHH
What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?
-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6
Answer:
first option is correct
look at given picture
PLEASE ANSWER!!!
A. 4x+2=70+35
B. 4x+72=180
C.180=4x+107
D. 180=109x+2
Answer:
c
Step-by-step explanation:
its c , absolutely.............
Answer:
C * 180 = 4x + 107
Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180
questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.
Answer:
2 1/4
Step-by-step explanation:
[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]
[tex]3\frac{1 - 3}{4}[/tex]
[tex]2\frac{4-3}{4}[/tex] = 21/4
HELP FAST giving 5 stars
Answer:
The red is 1/3 and yellow is 1/4
Step-by-step explanation:
there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and is 1 yellow so 1/4