The mean of the data set is 6.8.
What is the mean?Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.
Given
The data set is 14, 7, 2, 8, 3.
The mean of the data set is given by;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8[/tex]
Hence, the mean of the data set is 6.8.
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which one of given below is not polynomial?
(a) X2- 2.5
(b) √+1
(C) 3x-1/3
(d) x+ √3
Answer:
B
Step-by-step explanation:
it's just option B because it is only root
Answer:
the answer would be B. (2.5, -0.5)
plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.
3 (2.5) - (-0.5) = 7.5 + 0.5 = 8
(2.5) + (-0.5) = 2.5 - 0.5 = 2
i hope i helped. :)
Step-by-step explanation:
Read more about system of equations at:
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239 students went on a field trip. Six
buses were filled and 17 students traveled
in cars. How many students were in each
bus?
Answer:
37
Step-by-step explanation:
239-17=222
222/6=37
37
Need these also any help
==============================
Explanation:
For problem 1, we will plot a closed circle at x = -2 to include this value in the shaded solution set. We include it because of the "or equal to". The shading is to the right because of the "greater than". So we're describing all x values that are either equal to -2 or larger than -2. You could say "x is -2 or larger".
---------------------
In problem 2, we'll exclude the endpoint since we don't have "or equal to". We shade to the left to visually show all values smaller than 3.
---------------------
In problem 3, we follow the same idea as the last problem. We have an open hole to exclude the endpoint and shade to the right of 12 to describe all values larger than 12.
---------------------
With problem 4, we now include the endpoint again. This is similar to problem 1. We shade to the left to describe x values that are either -15 or smaller.
Please help me, I don't know this one.
What is y+3=-(x-5) written in standard form
Answer:
the answer would be 3x+y-15
Which products result in a difference of squares? check all that apply. (5z 3)(–5z – 3) (w – 2.5)(w 2.5) (8g 1)(8g 1) (–4v – 9)(–4v 9) (6y 7)(7y – 6) (p – 5)(p – 5)
Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth [tex]\rm (-4v-9)(-4v+9)[/tex] are the products that result in a difference in squares.
It is required to identify which products result in a difference in squares.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We know that:
[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
In option first:
[tex]\rm = (5z+3)(-5z-3)\\\rm = -(5z+3)(5z+3)\\\rm = -(5z+ 3)^2[/tex]
Which is not the difference between squares.
In option second:
[tex]\rm=(w-2.5)(w+2.5)\\\rm =(w^2-2.5^2)[/tex]By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
It is the difference between squares.
Similarly, in option third:
[tex]\rm =(8g+1)(8g+1)\\\rm =(8g+1)^2[/tex]
It is not the difference between squares.
Similarly, in option forth:
[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]
It is the difference between squares.
Similarly, in option fifth:
[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]
It is not the difference between squares.
Similarly, in option sixth:
[tex]\rm =(p-5)(p-5)\\\rm =(p-5)^2[/tex]
It is also not the difference between squares.
Thus, option second and option fourth are correct.
Learn more about polynomial here:
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17/8 and 1/2 a proportional
Answer:
no
Step-by-step explanation:
17/8 = 2.125
1/2 = 0.5
Two ratios are proportional if they are equal.
17/8 and 1/2 are note equal, so they are not proportional.
The temperature in the desert is often two times as hot in the day as it is
at night. d = temperature during the day n = temperature at night
d = 2n
n = 2.0
O d = 2 + n
What’s the answer
Answer:
A
Step-by-step explanation:
A student is setting up a relay race around the perimeter of a
9
park. The perimeter of the park is mile. She wants to
10
3
place a marker every mile along the race course. How
10
many markers will she place along the race course?
Answer:
Step-by-step explanation:
place a marker every mile along the race course. How
What is the greatest common factor of 24 and 60
Answer:
12 is the GFC.
Step-by-step explanation:
24 - 8, 3, 4, 6, 2, 12, 1, 24
60 - 10, 6, 2, 30, 20, 3, 5, 12, 4, 15
The greatest common factor of 24 and 60 is 12
What is greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
For us to find the greatest common factor we need to find the common factors between the numbers.
The factors of 24 = 1,2,3,4,6,8,12 and 24
The factors of 60 = 1,2,3,4,5,6,12,15,30 and 60.
The common factors are ;
1,2,3,4,6 and 12
And the greatest common factor is 12. because it is the highest factor.
learn more about greatest common factor from
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A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability
distribution below?
Probability Distribution
PX)
OND
.li.
Complete question:
A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability
distribution below?
Grade(X)_____ 1_____2_____3_____4_____5
Frequency____3 _____5____ 9 ____ 5 ____ 3
P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1
Answer:
3
Step-by-step explanation:
Given the probability distribution :
Grade(X)_____ 1_____2_____3_____4_____5
Frequency____3 _____5____ 9 ____ 5 ____ 3
P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1
The mean of the distribution :
Σ(X * P(X)) :
(1*0. 1) + (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.1)
0.1 + 0.4 + 1.2 + 0.8 + 0.5
= 3
Answer:
the mean is 3
answer choice D
Carly made her uncle a quilt. The width is 7 2 5 ft and the length is 5 1 2 ft. What is the area of the quilt?
Answer:
2474
Step-by-step explanation:
(725 x 2) + (512 x 2)
(1450)+(1024)
=2474
Please help I need this before 8:00
Answer:
c/d = 5x/3
Step-by-step explanation:
Given :-
c/d - a/b = x
a = 2c
b = 5d
To Find :-
Value of c/d in terms of x
Solving :-
Substitute value of a and b.
c/d - 2c/5d = x
3c/5d = x
c/d = 5x/3
Solution :-
c/d = 5x/3
state the slope and y-intercept of the graph of 9-x=2y
please explain how you got your answer. Thank you.
Answer:
slope: -1/2
y-int: 9/2
Step-by-step explanation:
rearrange 9-x=2y into slope-intercept form: y=mx+b (m being slope and b is y-intercept)
2y = -x + 9
divide both sides by 2 to isolate the y and get:
y = -x/2 + 9/2
m (slope) = -(1)/2
b (y-int) = 9/2
What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.
The quadratic polynomial 6x² – 7x + 2 has factors (3x – 2) and (2x – 1). Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The quadratic polynomial is 6x² – 7x + 2.
On factorization, we have
6x² – 7x + 2
6x² – (4 + 3)x + 2
6x² – 4x – 3x + 2
2x(3x – 2) –1(3x – 2)
(3x – 2)(2x – 1)
The factor is (3x – 2).
More about the factorization link is given below.
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Evaluate.
x² + 2
for x = 5.1
Answer:
28.01
Step-by-step explanation:
Since x = 5.1
Substitute
5.1² + 2
=26.01+2
Add the numbers
=28.01
Hence, Answer = 28.01
~Learn with Lenvy~
If z = x² + y² , prove that:
[tex]{ \large{ \rm{ {x}^{2} \: {\frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}z }{∂x∂y} } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z}}}[/tex]
_____________
Don't Spam
Well explained answers needed
Answer:
Given That:
[tex]{ \large\longrightarrow { \rm{z = {x}^{2} + {y}^{2} }}}[/tex]
Partial differentiating both sides with respect to x, we get:
[tex]{ \large\longrightarrow { \rm{ \frac{∂z}{∂x} = 2x}}}[/tex]
Partial differentiating again with respect to x, we get:
[tex]{ \large\longrightarrow {{ \rm{ \frac{ {∂}^{2}z }{∂ {x}^{2} } \: = 2 \: \: \: \: \quad -(i) }}}}[/tex]
Consider again:
[tex]{ \large\longrightarrow {{ \rm{ z = {x}^{2} + {y}^{2} }}}}[/tex]
Partial differentiating both sides with respect to y, we get:
[tex]{ \large\longrightarrow { { \rm{ \frac{∂z}{∂y} = 2y}}}}[/tex]
Now, partial differentiating both sides with respect to x, we get:
[tex]{ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂x \:∂y } = 0 \: \: \: \quad - (ii) }}}[/tex]
Consider again:
[tex]{ \large\longrightarrow { \rm{ \frac{∂z}{∂y} = 2y}}}[/tex]
Partial differentiating both sides with respect to y, we get:
[tex]{ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2 \: \: \: \: \: \quad - (iii) }}}[/tex]
Now, consider Left Hand Side, we get:
[tex]{ \large{ \rm{ \longrightarrow {x}^{2} \frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2} x}{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } }}}[/tex]
From Equation (i),(ii) and (iii), we can write:
[tex]\longrightarrow{ \large{ \rm{ {2x}^{2} + 0 + {2y}^{2} }}}[/tex]
[tex]\longrightarrow \: { \large{ \rm{2( {x}^{2} + {y}^{2} ) }}}[/tex]
[tex]\longrightarrow{ \large{ \rm{2z}}}[/tex]
Therefore,
[tex]{ \large{\longrightarrow \: { \rm{{x}^{2} \frac{ {∂}^{2} z}{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}x }{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z }}}}[/tex]
Hence Proved!!
[tex] \: [/tex]
Learn More:-[tex]\boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]
Refer to the attachments for answer
Used Concept :- [tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex]HELP ME OUT PLEASE!! UR THE BEST AND PLS DONT ADD IRRELEVANT ANSWERS
Mark the Following statement as True or False and provide an explanation for your
choice:
"If the price of Hula Hoops is set below its market equilibrium price there will be a
surplus of Hula Hoops in the market."
Hula Hoop Market
30. Felipe va a hacer un banderín para su equipo de fútbol, con las medidas que se indican en la figura. ¿Cuánta tela ocupará para elaborar el banderín?
A) 930 cm2
B) 961 cm2
C) 1 860 cm2
D) 1 922 cm2
Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.
¿Que area tiene el banderin?Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.
Recordar que para un triangulo de base b y altura h, el area es:
A = b*h/2
Entonces el area del banderín va a ser:
A = (31cm)*(60cm)/2 = 930cm^2
Entonces la opción correcta es A.
Sí quieres aprender más sobre triangulos, puedes leer:
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What is 32 divided by 616? step by step answer please
as a simplified fraction, the answer is 4/77
as a decimal it is about 0.0519480519480519
Helppp meeeee with question 1 or can the all pleaseeee !!!
Answer:
1. 2c+9=m
Step-by-step explanation:
The figure shows the measurements, in inches, of a rectangular prism.
A rectangular prism has a height of 8 inches, length of 7 inches and a width of 7 inches.
What is the volume of the prism?
Answer:
8×7×7 diameters should be accurate
please can you help me with this question.
thank you.
Answer:
Follow the steps shown below.
Step-by-step explanation:
12cos(30)+2tan(60)
[tex]12*\frac{\sqrt{3} }{2} + 2\sqrt{3}[/tex]
[tex]6\sqrt{3} + 2\sqrt{3}[/tex]
[tex]8\sqrt{3}[/tex]
[tex]\sqrt{64*3}[/tex]
[tex]\sqrt{192}[/tex]
1 3 17 115
To find the next term the rule is
multiply by a and then subtract b, where a and b are integers.
Find the values of a and b.
Answer:
32 is the values 21 is the integers
Step-by-step explanation:
that's may answer ty hope it's help
tara just bought her first car in order to commute to college, a used RAV4 the value of the car today id 13,000$ but will lose 11% of its value each year for the next several years. Down the road tara will trade the rav4 in for a down payment on a newer car if she trades in her car 4 years from now how much will it be worth y=a(1-r)^x
second part: tara decides to keep the car for a few years longer if she decides to trade in her car 8 years from now how much will it be worth y=a(1-r)^x
PLEASEE NEED ASAP
Answer:
The value of the car today is $13,000, but will lose 11% of it's value each
What are the values of a and b?
Answer:
A=44 B=68
Step-by-step explanation:
There are two congruent sides, therefore the corresponding angles are also congruent.
Answer:
a and b both are 56 degree
Step-by-step explanation:
this is due to it's isosceles triangle. So, we take (180-68):2
does anyone wanna see a cute face?
Answer:
Step-by-step explanation:
Yes
Express as a product:
[tex]1-4sin^2\alpha[/tex]
Answer:
(1 - 2sinα)(1 + 2sinα)
Step-by-step explanation:
1 - 4sin²α ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
1 - 4sin²α
= 1² - (2sinα )²
= (1 - 2sinα)(1 + 2sinα)
helppppppppppppppppp
Answer:
Step-by-step explanation:
2: 4/2 is 2
3: 4/3 is 1 1/3
4: 4/4 is 1
5: 4/5 is .8
x y y/x
2 2 4/2
3 1 1/3 or 1.333... 4/3
4 1 4/4
5 4/5 or 0.8 4/5
Hope this Helped! :)
-SGO
What is the 7th term in the geometric sequence described by this explicit
formula?
an = 800 - (0.5)(n-1)
Answer:
a₇ = 797
Step-by-step explanation:
substitute n = 7 into the explicit formula
a₇ = 800 - 0.5(7 - 1) = 800 - 0.5(6) = 800 - 3 = 797