The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.
Then the data set will be given below.
10, 10, 10, 10, 10, 16
Then the mean of the data set will be
Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6
Mean = 66/6
Mean = 11
Thus, the mean of the sample will be 11.
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Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)² = 11
A. x = -√12/4
B. x=-√11+1/4
C. x=√11+1/4
D. x=-√11+1/4
E. x=√12/4
F. x=√11+1/4
Answer:
A.
B.✅
C.✅
D.✅
E.
F.✅
Step-by-step explanation:
[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]
FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.
The possible widths of the play area is mathematically given as
w =30 w=60This is further explained below.
What are the possible widths of the play area?Generally, the equation for perimeter is mathematically given as
P =2(l+w)
180 =2(l+w)
2(l+w) =180
[tex]l+w = \frac{180}{2}[/tex]
l+w =90
A =l \times w
1800 &=l *w
l *w =1800
l *w =1800
Substitute Eq. 3 in the Eq. 2:
l *w=1800
(90-w) *w=1800
90w-ww=1800
90w-w^2=1800
w^2-90 w+1800=0
Therefore
w^2-90 w+1800 =0
[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]
w(w-30)-60(w-30) =0
(w-30)(w-60) =0
Thereofre
w =30
w=60
In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.
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Drag the numbers below to put them in order from least to greatest:
0.1 2.4 -7.9 -3.3 -7.7 -13
Submit Answer
Answer:
-13, -7.9, -7.7, -3.3, 0.1, 2.4
Step-by-step explanation:
If tanθ= 3/4, find sin θ
P= 3
b=4
By using pythagorus therom,
h^2=p^2+b^2
=3^2+4^2
=9+16
=25
h =5
now,
sin(theta)= p÷h
=3÷5
Which number contains digits where the hundreds digit is 1/10 the value of the thousands digit?
The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.Firstly, refer to the image attached for the complete question.
Now,
Given: The value of the digit in the hundreds place in 653,841 is: 800
Now, the following cases arise for the given options:
748,917Value of digit in the thousands place = 8000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(8000) = 800[/tex]
749,817Value of digit in the thousands place = 9000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]
784,817Value of digit in the thousands place = 4000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]
797,481Value of digit in the thousands place = 7000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]
Out of all the options, as shown above, only Option A satisfies the given condition.
Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
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In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
The right triangle that shows the length of the two sides is 5.2 and 3.1.
It is required to find the triangle.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given:
In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.
According to given question we have:
Given that angle x will be:
[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]
The opposite to angle x or perpendicular = 3.1 units
The adjacent side to angle x or base angle = 5.2 units
Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.
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Answer:
b
Step-by-step explanation:
*PLS HELP*
Suppose a and b give the populations of two states where a > b. Compare the expressions and tell
which of the given pair is greater or if the expressions are equal.
a-b
5
(select)
b
5
Eight families live on abbie's street. she asks each family how many pets they have. abbie's data set is: 0, 0, 1, 1, 2, 2, 2, 5. the modal number of family pets on abbie's street is:__________
Answer:
Step-by-step explanation:
It is asking for the "mode" which is the data element you see the most, therefore it is 2.
witch equation is true when x=4? A 3X+4=8 B 5X-2=18 C 2X+8=40 D 4X+4=12
Answer:
5X - 2 = 18
Step-by-step explanation:
5 x 4 = 20
20 - 2 = 18
How do you add and subtract radicals? If you could please give me the instructions step by step and with examples, that would be helpful too.
It is for a homework assignment in school, but I wasn't there the day they did it.
p.s I need an explanation right away.
You can add and subtract radicals by ensuring that they have same radical parts.
What's radical?It should be noted that a radical expression is an expression that contains the radical symbol which is ✓.
The necessary steps to add or subtract radicals include:
Identify the radical parts.
Add them together.
If there's unlike radical parts, one will manipulate the parts involved before solving.
Example: Add ✓63 + 5✓7
It should be noted that ✓63 = ✓9 × ✓7 = 3✓7
Therefore, ✓63 + 5✓7 will be:
= 3✓7 + 5✓7
= 8✓7.
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PLEASE HELP... Students are making necklaces of six beads for their mothers. There are
six colours available. There is no clasp, so the necklace can be rotated.
The necklace can also be turned over.
In how many different ways can the students place the beads around the
necklace if exactly two colours are used?
Answer:
Step-by-step explanation:
#1 Number of ways picking 2 from 6 = 6C2 = 15
#2 Arranging them in a circle (consider 1 pair AB)
can be done
1,5 (ABBBBB) or (5,1)
2,4 ( AABBBB) or (4,2)
3,3
1,1 (ABABAB)
all up = 7 ways
#3 = product of #1 and #2 = 15x7 = 105
There are 60 different ways the students can place the beads on the necklace using exactly two colors.
To find the number of different ways the students can place the beads on the necklace using exactly two colors, we need to consider the different arrangements that can be made.
We can first choose the two colors to be used, which can be done in C(6, 2) = 15 ways (where C(n, r) represents the combination of n items taken r at a time).
Once the colors are chosen, we can arrange the beads on the necklace in two ways: either clockwise or counterclockwise.
We can also flip the necklace to get a different arrangement.
Therefore, for each combination of colors, there are 2 x 2 = 4 different arrangements possible.
Thus, the total number of different ways the students can place the beads on the necklace is 15 x 4 = 60.
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lauren and three of her friends are going to magic springs. the total trip: gas, tickets, and food cost $125.76. how much will each person pay for their fun trip
Answer:
$31.44
Step-by-step explanation:
$125.76 ÷ 4 = $31.44
Lauren $31.44
Friend 1 $31.44
Friend 2 $31.44
Friend 3 $31.44
+ ________
$125.76
Evaluate the expression [8(2)-4^2]+7(4)
The value of expression using PEMDAS rule is 28 .
Given : expression [ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )
To find : value of expression
Calculation : Using V-BODMAS
[ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )
= [ ( 8 * 2 ) - ( 4 * 4 ) ] + ( 7 * 4 )
= [ 16 - ( 4 * 4 ) ] + ( 7 * 4 )
= [ 16 - 16 ] + ( 28 )
= [ 0 ] + ( 28 )
= 28
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Line pq is represented by the equation y=-x+2 determine the equation, in slope-intercept form, of the line zw that is perpendicular to line pq and passes through the point z (11,11)
The equation, in slope-intercept form, of the line zw is y = x.
It is given that, equation of the line pq is:-
y = -x + 2
Also, line pq is perpendicular to line zw
zw passes through the point z (11,11).
We have to find the equation, in slope-intercept form, of the line zw.
The slope intercept form of a line is:-
y = mx + b
Where,
m represents slope of the line,
(x,y) represents every point on the line
b represents the y-intercept of the line
We know that, when two lines are perpendicular, the product of slopes of the lines is -1.
Let the slope of the line zw be m.
Hence,
m*(-1) = -1
m = 1
As it passes from the point z(11,11).
Hence, we can write,
11 = 1(11) + b
11 = 11 + b
b = 0
Hence, the slope intercept form of the line zw is y = x .
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Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' y'-4x-4y=e^-t x' y' 2x y=e^4t
It looks like the system of ODEs is
[tex]\begin{cases} 2x' + y' - 4x - 4y = e^{-t} \\ x' + y' + 2x + y = e^{4t} \end{cases}[/tex]
Differentiate both sides of both equations with respect to [tex]t[/tex].
[tex]\begin{cases} 2x'' + y'' - 4x' - 4y' = -e^{-t} \\ x'' + y'' + 2x' + y' = 4e^{4t} \end{cases}[/tex]
Eliminating the exponential terms, we have
[tex](2x' + y' - 4x - 4y) + (2x'' + y'' - 4x' - 4y') = e^{-t} + (-e^{-t}) \\\\ \implies (2x'' - 2x' - 4x) + (y'' - 3y' - 4y) = 0[/tex]
[tex](x'' + y'' + 2x' + y') - 4 (x' + y' + 2x + y) = 4e^{4t} - 4\cdot e^{4t} \\\\ \implies (x'' - 2x' - 8x) + (y'' - 3y' - 4y) = 0[/tex]
Now we can eliminate [tex]y[/tex] and it derivatives.
[tex]\bigg((2x'' - 2x' - 4x) + (y'' - 3y' - 4y)\bigg) - \bigg((x'' - 2x' - 8x) + (y'' - 3y' - 4y)\bigg) = 0 - 0 \\\\ \implies x'' + 4x = 0[/tex]
Solve for [tex]x[/tex]. The characteristic equation is [tex]r^2 + 4 = 0[/tex] with roots at [tex]r=\pm2i[/tex], hence the characteristic solution is
[tex]\boxed{x(t) = C_1 \cos(2t) + C_2 \sin(2t)}[/tex]
Solve for [tex]y[/tex]. Substituting [tex]x[/tex] into the second ODE gives
[tex]x' + y' + 2x + y = e^{4t} \\\\ \implies y' + y = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t)[/tex]
The characteristic equation this time is [tex]r + 1 = 0[/tex] with a root at [tex]r=-1[/tex], hence the characteristic solution is
[tex]y(t) = C_3 e^{-t}[/tex]
Assume a particular solution with unknown coefficients [tex]a,b,c[/tex] of the form
[tex]y_p = ae^{4t} + b \cos(2t) + c \sin(2t) \\\\ \implies {y_p}' = 4ae^{4t} - 2b\sin(2t) + 2c\cos(2t)[/tex]
Substituting into the ODE gives
[tex]5ae^{4t} + (b+2c) \cos(2t) + (-2b+c) \sin(2t) = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t) \\\\ \implies \begin{cases}5a = 1 \\ b+2c = C_1 \\ -2b+c = C_2\end{cases} \\\\ \implies a=\dfrac15, b=\dfrac{C_1-2C_2}5, c=\dfrac{2C_1+C_2}5[/tex]
so that the general solution is
[tex]\boxed{y(t) = \dfrac15 e^{4t} + \dfrac{C_1-2C_2}5 \cos(2t) + \dfrac{2C_1+C_2}5 \sin(2t) + C_3 e^{-t}}[/tex]
The width of a rectangle is 3 less than its length find the width of the rectangle if its perimeter is 26ft
The width of rectangle is 5 feet.
Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).
Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -
Perimeter = 2 × (length + width)
Keep the values in formula to find the value of width
26 = 2 × (x + x - 3)
Performing addition of variables inside the bracket
26 = 2 × (2x - 3)
Shifting 2 to other side of equation to find the value of x
2x - 3 = [tex]\frac{26}{2}[/tex]
Performing division to find the value of x
2x - 3 = 13
Shifting 3 to other side of equation to find the value of x
2x = 13 + 3
Performing addition to find the value of x
2x = 16
Shifting 2 as denominator to other side of equation to find the value of x
x = [tex]\frac{16}{2}[/tex]
Performing division to find the value of x
x = 8
So, length of rectangle is 8 feet
Width of rectangle = x - 3
Width of rectangle = 8 - 3
Width of rectangle = 5 feet
Hence, the width of rectangle is 5 feet.
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here are points A and B Plot the points for each dilation described
Answer:
No one can answer this
Step-by-step explanation:
You need to add a picture or something because we need more information. This could be a graph, a number line, etc.
Answer:
(Image 1)
d(A,C)=10d(C,B)=8
d(A,B)=d(A,C)+d(C,B)=10+8=18
(Image 2)
AB=AC−BC
=10−8=2
Step-by-step explanation:
A student in a big city lives on the 44th floor of her building. On rainy days, when she gets home from school, she takes the elevator all the way up to her floor. But on sunny days, she goes up to floor 20 and walks the rest of the way. Why?.
She is diminutive (a very, very small person). She can ask others to hit the top elevator buttons for him because he can't reach them. On rainy days, he presses the buttons with his umbrella.
What is a riddle?A statement, question, or phrase with a hidden or double meaning that is presented as a problem to be answered is called a riddle. Enigmas, which are difficulties typically presented in metaphorical or allegorical language that call for inventiveness and careful thought to solve, and conundra, which are questions that rely on puns in either the question or the answer, are two different forms of riddles.
Riddles from hundreds of various civilizations, including Finnish, Hungarian, American Indian, Chinese, Russian, Dutch, and Filipino sources, are cited by Archer Taylor in his statement that "we may definitely claim that riddling is a global art. Riddles and riddle motifs are common across the world.
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Grayson bought snacks for his team's practice. He bought a bag of popcorn for $3. 50
and a 5-pack of juice bottles. The total cost before tax was $11. 5. Write and solve an
equation which can be used to determine j, how much each bottle of juice cost.
Please include equation and answer(j= )
If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.
The cost of each bottle can be determined by using an algebraic expression.
An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.
To find the cost of each bottle, an algebraic expression can be given as,
Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax
5j + $3.50 = $11.50
Solving for j,
5j = 11.50 - 3.50
5j = 8
j = 8/5
j = $1.6
Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6
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5 less than 2/3 of a number is 19. Find the number
Answer:
the anser in 60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
What is the least common multiple of 10 and 11 ?
Answer:
Step-by-step explanation:
The answer is 110
hope this helps :)
What will be the value of f(k)?
4x² - 6x +7
Answer: f(k)=4k² - 6k +7
Step-by-step explanation:
f(x)=4x² - 6x +7
f(k)=4k² - 6k +7
3. The graph below shows the number of points that Lebron scored in each of his first
four games of a season.
On average, how many more points per game did Lebron score in the last two games than the
first two games?
Using the mean concept, it is found that LeBron scored 10 more points per game on his last two games than on his first two.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
For his first two games, he scored 20 + 15 = 35 points, hence the mean is:
35/2 = 17.5 points per game.
For his last two games, he scored 25 + 30 = 55 points, hence the mean is:
55/2 = 27.5 points per game.
The difference is:
27.5 - 17.5 = 10.
On average, LeBron scored 10 more points per game on his last two games than on his first two.
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Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the width of Tyrone's actual patio? Show your work
Answer:
The width of Tyrone's actual patio is 16 feet
Step-by-step explanation:
[tex]\frac{2ft}{1in}[/tex] = [tex]\frac{x}{8}[/tex] If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft. What do we need to multiple 1 inch by to get 8 inches? 8. So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.
y + 1 = y + 2 need help asap pls !!!
Answer:
Alright
Ignore the 20, We have 5(x-2)
Brackets mean Multiplication
So, Multiply 5 with x and multiply 5 with 2
=> 20 = 5x - 10
Transpose the 20 to the other side
the twenty being transposed to the other side becomes Minus because it is in plus
And bring 5x in front of the =
=> 5x = 20 - 10
=> 5x = 10
So now we have 5x but we need x so transpose the 5 to the other side
by transposing the five becomes division because its in positive so
=> x = 10 ÷ 5
=> x = 2
Kaboom, All done!
What is slope intercept form?
Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Slope intercept form for a line equation is :
y = m x + b m is the slope of the line
b is the y-axis intercept ( this occurs when x = 0)
Nancy rode her bike for 15 4/5 miles on Saturday and Sunday she rode 0.7 fewer miles how many miles did she ride on Sunday HW
The difference of a number p and 1 is greater than 6
Answer: p - 1 > 6, or p > 7
Step-by-step explanation:
We will write an expression from the sentence given.
difference of a number (p) and 1 ➜ p - 1
is greater than ➜ >
The difference of a number p and 1 is greater than 6 ➜ p - 1 > 6
To solve for the possible values of p, we will add 1 to both sides of the equation;
p > 7
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You roll two six-sided dice. What is the probability that the sum is equal to 5? Write your answer as a fraction in simplest form.
Answer:
4/36 but reduce to lowest terms.
Step-by-step explanation:
The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.
4/36 which you can also reduce to lowest terms.
HELP EASY LOOKING FOR ANSWERS TO NUMBER FOUR
Answer:
Step-by-step explanation:
it should be Venus
hmmm. im thinking its venus
