Answer:
Step-by-step explanation:
mode means most repeated number . here in this given data 7 is repeated maximum number of times . so mode is 7.
to find median arrange the data from ascending to descending order.
Data = 1,2,3,4,5,7,7,7,8,8
median = N + 1/2 (N means no of data )
=10 + 1/2
=11/2
=5.5
= 5th term + 6th term/2
=5+7/2
=12/2
=6
mean = sum of data / no of data
=3+7+2+4+7+5+7+1+8+8/10
=52/10
=5.2
range = largest value - smallest value
=8 - 1
=7
Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A.
both a relation and a function
B.
neither a relation nor a function
C.
function only
D.
relation only
Answer:
relation only
Step-by-step explanation:
The vertical line will be relation only.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.
In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Noted that Linear function is a function whose graph is a straight line
We can conclude that vertical line would be relation only.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ3
Analyze the diagram below and complete the statement that follows.
The perimeter of the square is
A. 42
B. 60
C. 110.25
D. 112.5
Answer:
A: 42
Step-by-step explanation: 10.5x4=42
Answer:
your answer is A 42
Step-by-step explanation:
make me brainliest
Question 7
1. Calculate and write your answer as a mixed number
1 4/5 + 2 2/3 - 16/15
Answer:
3 7/15
Step-by-step explanation:
1 4/5 + 2 2/3 - 16/15
9/5 + 8/3 - 16/15
27/15 + 40/15 - 16/15
52/15 = 3 7/15
Answer:
3 2/5
Step-by-step explanation:
STEP 1: Convert all fractions into improper fractions
9/5 + 8/3 - 16/15
Step 2: pass denominators
(9x3 + 8x5 - 16) / 15
=51/15
Step it into proper mixed number
3 2/5
A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?
Answer:
28 km per hour
Step-by-step explanation:
First determine the amount of time that the trip took
17:55 - 17:40 = :15 or 15 minutes
We need the time in hours
15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours
To determine speed, take distance and divide by time
7 km ÷( 1/4 hours)
Copy dot flip
7 * 4/1
28 km per hour
What measure is represented by 17 feet in the figure below?
A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
the diameter goes straight through the center of the circle
i need help like asap!!!!
Answer:
to do this lets first solve this so
5*5*5*5=625
5^-3=0.008
0.008^2=0.000064
0.000064*625=0.4
so all equations that are equal to 0.4 are right which is C
Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?
Answer:
1
Step-by-step explanation:
that's a very vague question
What is the slope of the line formed by (7,1) and (-3,3)?
Answer:
JMK
Step-by-step explanation:
Answer:
[tex]-\frac{1}{5}[/tex] is the slope of the line.
Step-by-step explanation:
(7 , 1) = (x1 , y1)
(-3 , 3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=3 - 1/-3 - 7
=2/-10
=1/-5
=[tex]-\frac{1}{5}[/tex]
2. Round off the following numbers to two decimal places:
b) 4,5873
c) 32,095
a) 56,3456
d) 13,997
Answer:
I think you mean significant figures
Step-by-step explanation:
460003200056000014000Math help please show work thanks
Answer:
600.4 cm^2
Step-by-step explanation:
first we should find the base of samller triangle
hypotenuse = 35 cm
one side = 30 cm whereas other has be be find
using pythagoras theorem
a^2 + b^2 = c^2
30^2 + b^2 = 35^2
900 + b^2 = 1225
b^2 = 1225 - 900
b^2 = 325
b = [tex]\sqrt{325}[/tex]
b = [tex]5\sqrt{13}[/tex]
area of big triangle
base = 22 + [tex]5\sqrt{13}[/tex]
area of a triangle = base * height / 2
= 30 (22 + [tex]5\sqrt{13}[/tex] ) /2
=30*22 + 30*[tex]5\sqrt{13}[/tex] / 2
=660 + 540.83 / 2
=1200.83 / 2
=600.415
=600.4 cm^2
9514 1404 393
Answer:
330 cm²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length and h is the height measured perpendicular to the base.
Here, the base length is 22 cm, and the height is 30 cm. The area is ...
A = 1/2(22 cm)(30 cm) = 330 cm²
__
Additional comment
As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².
We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.
20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work
if cos A= 9\13 find csc A
Answer:
13[tex]\sqrt{22}[/tex] / 44
Step-by-step explanation:
cos A = 9/13
here adjacent = 9 and hypotenuse = 13 opposite = ?
using pythagoras theorem to find opposite
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 + b^2 = 169
b^2 = 169 - 81
b^2 = 88
b = [tex]\sqrt{88}[/tex]
b = [tex]2\sqrt{22}[/tex]
therefore opposite = [tex]2\sqrt{22}[/tex]
cosec A = hypotenuse/opposite
= 13/[tex]2\sqrt{22}[/tex]
rationalizing the denominator
=13/ [tex]2\sqrt{22}[/tex] * [tex]2\sqrt{22}[/tex] / [tex]2\sqrt{22}[/tex]
=13 *[tex]2\sqrt{22}[/tex] /( [tex]2\sqrt{22}[/tex] )^2
=26 [tex]\sqrt{22}[/tex] / 4*22
=26 [tex]\sqrt{22}[/tex] / 88
=13[tex]\sqrt{22}[/tex] / 44
Answer:
[tex]cosec A = \frac{13}{\sqrt{88}}[/tex]
OR
[tex]cosec A = \frac{13 \sqrt{22}}{44}[/tex]
Step-by-step explanation:
Formulas used:
[tex]cos^2 A = 1 - sin^2 A\\\\cosec A = \frac{1}{sin A}[/tex]
Given :
[tex]cos A = \frac{9}{13}[/tex]
Find cosec A
[tex]sin ^2 A = 1 - cos^2 A[/tex]
[tex]= 1 - (\frac{9}{13})^2\\\\= 1 - \frac{81}{169}\\\\=\frac{169 - 81}{169}\\\\=\frac{88}{169}[/tex]
[tex]sin A = \sqrt{\frac{88}{169}} = \frac{\sqrt{88}}{13}[/tex]
Therefore,
[tex]cosec A = \frac{1}{sin A} = \frac{1}{ \frac{\sqrt{88}}{13}} = \frac{13}{ \sqrt{88}}[/tex]
OR In a simplified form :
[tex]cosec A = \frac{13}{\sqrt{88}} \times \frac{\sqrt{88}}{\sqrt{88}} = \frac {13 \times \sqrt{4 \times 22}}{88} = \frac{13 \times 2 \sqrt{22}} {88} = \frac{13 \sqrt{22}}{44}[/tex]
Help please giving brainly and points! :)
Answer:
(8,5):
8 is x-axis
5 is y-axis
Evaluate 5 x3 - 2 + 7 when x = -2.
Answer:
57
Step-by-step explanation:
5|x^³-2|+7
let x=-2
5|(-2)^3-2|+7
work inside the absolute value first
5|-8-2|+7
5|-10|+7
Take the absolute value, which make it positive
5 *10+7
multiply
50+7
=57
nakita ko lng po yan but hope that helpsツ
Find the sum difference 104 - (-92)
Answer:
12
Step-by-step explanation:
Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.
Answer:
6 6 6 6 11
Step-by-step explanation:
The median is the middle number
the mode is the number of items, usually the number that are the same.
the mean is the average
the range is the number between the smallest and the largest.
So the information you have makes 4 of the 5 numbers the same.
The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6
x 6 6 6 6 or 6 6 6 6 x is what you know so far.
The range is a bit of a devil. And so is the mean. We need the mean to be related to 5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11
The difference between 11 and 6 = 5
So 11 works for everything but the range.
If the range must be ten, then x = 16 but then the mean = 8 and 7 is incorrect
So I can get 3 out of 4, but not them all.
Trigonometry help me
Answer:
[tex]\theta = \frac{\pi}{6}[/tex]
Step-by-step explanation:
[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex] [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]
[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex] [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]
[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]
[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]
[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]
[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]
[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]
[tex]\sqrt 3 - 2sin 2\theta = 0[/tex] [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]
[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]
Find the area of the figure
Will
Give
Brainlist
Answer: 52x+4
Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
Answer:
A pair of linear functions
Step-by-step explanation:
Given
See comment for options
Required
Which has real numbers as its range and domain
The answer to this is, the linear functions
Take for instance
[tex]f(x) = mx + b[/tex]
The above function is real for all values of x
The inverse is calculated as thus:
[tex]f(x) = mx + b[/tex]
Replace f(x) with y
[tex]y = mx + b[/tex]
Swap y and x
[tex]x = my + b[/tex]
Make y the subject
[tex]my = x - b[/tex]
Divide by m
[tex]y = \frac{x - b}{m}[/tex]
Replace y with the inverse function
[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]
The above function (i.e. the inverse function) is real for all values of x
This is not true for other options
The scores from Dr. Wilhelm's students science fair project are shown below .
Dr wilhelm made a histogram for the data.
answer choices :
50
65
70
71
plsss help I appreciate it thank you so much
Answer:
See Explanation
Step-by-step explanation:
You posted an incomplete question with little and unclear details.
I will answer this question with a more complete version (see attachment)
Given that:
[tex]Scores: 100\ 95\ 88\ 62\ 76\ 90\ 100\ 58\ 72\ 60\ 85\ 90\ 70\ 72\ 54\ 100\ 60\ 80\ 75\ 51[/tex]
Required
The fraction that passed the test
Rearrange the score in ascending order:
[tex]Scores: 51\ 54\ 58\ 60\ 60\ 62\ 70\ 72\ 72\ 75\ 76\ 80\ 85\ 88\ 90\ 90\ 95\ 100\ 100\ 100[/tex]
The total number of students is:
[tex]n =20[/tex]
Extract the students that passed (scored 70 and above)
[tex]Passed: 70\ 72\ 72\ 75\ 76\ 80\ 85\ 88\ 90\ 90\ 95\ 100\ 100\ 100[/tex]
Their numbers are:
[tex]Passed: 14[/tex]
So, the fraction of those that passed is:
[tex]Fraction = \frac{Passed}{n}[/tex]
[tex]Fraction = \frac{14}{20}[/tex]
Reduce fraction
[tex]Fraction = \frac{7}{10}[/tex]
If using the method of completing the square to solve the quadratic equation
22 + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
complete the square 2 x + 38 = 0
Step-by-step explanation:
Question is in photo.
Thanks
Answer:
what do you mean for this question. What do you need help on?
$125 to the markup rate of 80% what is the final price?
Answer:
$225
Step-by-step explanation:
mark rate = 80%
original price = $125
mark amount = 80% of $125
=80/100 *125
=10000/100
=$100
final price = $125 + $100
=$225
The area of a wall that needs to be papered is 84sqft. The wallpaper that needs to be papered is 18in wide and 33ft long. Rolls of solid color wallpaper will be used, so patterns do not have to match up.
Answer:
The answer is below
Step-by-step explanation:
The area of the wall is 84 ft².
The width of the wallpaper is 18 in.
1 ft. = 12 in
Hence; 18 in = 18 in * 1 ft. per 12 in = 1.5 ft
The length of the wallpaper is 33 ft.
Therefore, the area of the wallpaper = length * width = 1.5 ft. * 33 ft. = 49.5 ft². This means that each roll of wallpaper has an area of 49.5 ft²
Therefore, the minimum amount of rolls of wallpaper needed = area of wall / area of wallpaper
Amount of wallpaper = 84 ft² / 49.5 ft² = 1.7 rolls
en un salón para eventos (con 4 patas) y banquillos (con 3 patas). si hay x sillas y y banquillos,¿cuántas patas podrías contar en total?
ayuda porfa es para ahora
A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism
[tex] \frac{1}{2} bh \times h[/tex]
Answer:
Part A
The volume of the triangular prism is 500 cm³
Part B
The total surface area of the prism is approximately 441.42 cm²
Step-by-step explanation:
The given details are;
The dimensions of the side length of the cube, s = 10 cm
The shape the cube was cut across to obtain = A prism
Part A
Whereby the prism obtained is a triangular prism, we have;
The cube can be cut in half to form a triangular prism
The volume of each triangular prism obtained = (1/2) × The volume of the cube
∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³
Part B
The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism
The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50
The square cross sectional area, A₂ = 10 × 10 = 100
The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2
The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃
∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42
The total surface area of the prism, A ≈ 441.42 cm²
What is the perimeter of this rectangle?
Keller performed the work below to express the polynomial in factored form:
r(x) = x4 – 8x2 – 9
r(x) = (x2 + 1)(x2 – 9)
(x) = (x + 1)(x – 1)(x + 3)(x – 3)
Explain the error he made and complete the factorization correctly.
Answer:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots.
Step-by-step explanation:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:
[tex]r(x) = (x^{2}+1)\cdot (x^{2}-9)[/tex]
[tex]r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)[/tex]
**PLEASE HELP**The frequency table below represents the 30 best battling averages for a semi pro baseball league. Which ranges of battling averages were least common among the players
The lower the frequency the least common the average.
There are two frequencies that are 1, which would be the least common.
The answer is C. 0.320-0.329 and 0.360 -0.369
Answer:
option C
Step-by-step explanation:
option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.
Please help I’ll give brainliest
Answer:
v = 27,000 mm³
Step-by-step explanation:
v = s³
v = 30³
v = 27,000 mm³