Answer:
112.8
Step-by-step explanation:
equation for surface area
area = length x width
x = 9.4 x 12
9.4 x 12= 112.8
Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney.
Five-number summary:
Minimum = 9 days
The first quartile (
Q
1
)
=
18
days
The median (
Q
2
)
=
21
days
The third quartile (
Q
3
)
=
28
days
Maximum =56 days.
If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?
Interquartile range:
Interquartile range is used by the data analyst to detect the whether there any data value which is located far away from others. The data analyst usually finds this by plotting the box-plot (a visualization technique based on interquartile range formula), Since it is the best and easy way to locate outlier values.
If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.
To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
IQR = Q3 - Q1
= 28 - 18
= 10
Next, we can calculate the boundaries for potential outliers:
Lower boundary = Q1 - 1.5 * IQR
= 18 - 1.5 * 10
= 3
Upper boundary = Q3 + 1.5 * IQR
= 28 + 1.5 * 10
= 43
Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.
To find more questions on IQR
https://brainly.com/question/22424102
#SPJ4
PLEASE HELP I NEED THIS TO PASS
Answer:
Step-by-step explanation:
total sum of Triangle's angles is 180 deg:
than: x = 180 -61-56 = 63
Answer:
63 degrees
Step-by-step explanation:
All three angles in a triangle is always 180, so 180-61-56=63 degrees
Please mark Brainliest.
Have a great weekend!
If the length of a rectangle is L and the width is w, write an algebraic expression for the perimeter of the rectangle.
Tysm in advance!
Answer: P=2L+2w
Step-by-step explanation:
P=perimeter.
P=2L+2w ==> there are two lengths and two widths in a rectangle. That totals to 4 sides in a rectangle.
which is bigger 25 fl oz or 1 pint
if you help it would be appreciated
#learning with brainly
Answer:
25 fl oz
Step-by-step explanation:
1 pint is equivalent to 16 fl oz, so we're left with 25 fl oz and 16 fl oz. As you can see, 25 is greater than 16, making 25 fl oz the correct answer.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
For more such questions on rank
https://brainly.com/question/28839672
#SPJ8
Simplify: -6(-8) + 15 =
Answer:
Step-by-step explanation:
63
Answer:
63
Step-by-step explanation:
-6 (-8) + 15
48 + 15
63
^^
solve for:-9a = 27
please someone help!!!
Answer:
a = -3
:)))))))))))))))
factor please show work
Answer:The answer would be 6a(4b4 +2b3 -3b2)
Step-by-step explanation:All you have to do is take 6a out of each number and put the 6a outside of parenthesis and put the rest of the equation in parenthesis.
10.
Which graph shows the following system of equations and its solution?
ows the following system of equations and its solution?
The graph that shows the following system of equations and its solution is graph number C
How to determine the graph?A graph is the graphical representation of equations on a graph sheet
The given equations are
-4x-3y=4
4x-y=-4 Solving the equations
In equation 1
When x = 0
-3y = 4
y=-4/3 (0, -4/3)
When y = 0
-4x = 4
x= -1 (-1, 0)
In equation 2 when x = 0
-y = -y = 4 (0, 4)
When y = 0
4x=-4 x=-1 (-1, 0)
When these coordinates are used to plot the graph, graph number is is obtained.
Learn more about graphs on https://brainly.com/question/21981889
#SPJ1
What is the common difference for this arithmetic sequence?
-6, -1, 4, 9, 14,
Answer: +5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
What is distributive property addition?
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
This is the best I can give to you
1 a Copy and complete to begin to solve the
equation.
4x - 3=2x+7
4x - 3-0=2x + 7-O
Ox - 3=0
Answer:
0
Step-by-step explanation:
Fareda and Johnny have joined a book club. Fareda has already read 6 books pages and Johnny has already read 8 books. Each month, both students
read another 3 books. Complete the table to show the total number of books each has read after each month. Use the rule "add 3". Choose all the ordered
pairs that represent the number of books Fareda and Johnny have read.
(9,11)
(11.14)
(15,17)
(18,20)
(20,22)
Answer:
(9,11)
(15,17)
(18,20)
Step-by-step explanation:
9-6=3
11-8=3
18-6=12
20-8=12
15-6=9
17-8=9
3*1=3
3*4=12
3*3=9
The sequence -1/5, 2/6, -3/7, 4/8How do I write a explicit equation for f(n) to represent the sequence.
So we must find an explicit equation for the sequence:
\(-\frac{1}{5},\frac{2}{6},-\frac{3}{7},\frac{4}{8}\)If you look carefully, you'll see that not only each term is a fraction bu also the top number in the fraction of the n-th term is n. For example, in the first term we have a 1, in the second a 2, in the third a 3 and so on. Not only that, the bottom number in each fraction is the terms postion plus 4. The first term has a 1+4=5, the second a 2+4=6, the third a 3+4=7 and so on. The only thing left is that terms in odd positions are negative and terms in even positions are positive. A way to achieve this is by using the term:
\((-1)^n\)If we merge all of this into one equation we get:
\(f(n)=(-1)^n\frac{n}{n+4}\)And that is the explicit equation we were looking for.
Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=
Answer:
f(x +h) = 4x² +4h² +8xh +5x +5h +3
(f(x+h) -f(x))/h = 4h +8x +5
f'(x) = 8x +5
Step-by-step explanation:
For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.
F(x+h)Put (x+h) where h is in the function, and simplify:
f(x+h) = 4(x+h)² +5(x+h) +3
= 4(x² +2xh +h²) +5x +5h +3
f(x +h) = 4x² +4h² +8xh +5x +5h +3
Difference quotientThe difference quotient is ...
(f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h
= (4h² +8xh +5h)/h
(f(x+h) -f(x))/h = 4h +8x +5
LimitWhen h=0, the value of this is ...
f'(x) = 4·0 +8x +5
f'(x) = 8x +5
__
Additional comment
Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.
<95141404393>
which of the following is a function?
Answer:
C
Step-by-step explanation:
For any of the functions described above, the only way any of those could be functions is that there has to be a difference value for each x, unless it is the same x-value. If the x is mentioned twice, that is fine, as long as the y point is also the same. If it is different, it is not a function.
Evaluate 2a-b for a=2 and b=3.
Answer:
1
Step-by-step explanation:
The 9th term of an arithmetic sequence is -5 and the 15th term is 31 find an expression for the nth term explicitly in term of n
The expression for the nth term is aₙ = 37+6n
What is an arithmetic sequence?An arithmetic sequence is a type of sequence in which the difference between the successive and preceding term is constant.
Given that, The 9th term of an arithmetic sequence is -5 and the 15th term is 31
The formula for nth term is given by;
aₙ = a+(n-1)xd
Where, a is the first term
n = number of terms
d = common difference
a₉ = a+(9-1)xd
a+8d = -5.......(i)
And
a₁₅ = a+(15-1)xd
a+14d = 31........(ii)
Solving the equation, we get,
d = 6
Putting, d = 6 in eq(i)
a+8x6 = -5
a = -5+48
a = 43
Now solving for nth term,
aₙ = 43+(n-1)x6
aₙ = 43+6n-6
aₙ = 37+6n
Hence, the nth term is (37+6n)
For more references on arithmetic sequence, click;
https://brainly.com/question/15412619
#SPJ1
Need help ASAP no links pls
Answer:
y = 6
I hope this helps you out!
A solid has volume 7 cubic units. The equation k =3 sq rt V/7 represents the scale factor of k by which the solid must be dilated to obtain an image with volume V cubic units. Select all points which are on the graph representing this equation. Write each corresponding letter in the answer box and separate letters with commas. (I can show image if question is not clear)a) (0,0) b) (1,1) c) (1,7) d) m(7,1) e) (14,2) f) (49,2) g) (56,2) h) (27,3)
(7,1) and (0,0)
1) Gathering the data
V= 7 u³
2) Plugging into the equation the quantity of V:
\(\begin{gathered} k=\sqrt[3]{\frac{V}{7}} \\ \\ k=\sqrt[3]{\frac{7}{7}} \\ K=1 \end{gathered}\)Note that according to this equation, the scale factor is 1.
3) Considering that the point is formed by (V, k) then the possible answers are:
(7,1) and (0,0)
Laura is 3 ft tall how tall is Laura in inches
Write it in reduced form as a ratio of polynomials p(x)/q(x)
We are given the following expression
\(\frac{x^2}{x-5}-\frac{8}{x-2}\)Let us re-write the expression as a ratio of polynomials p(x)/q(x)
First of all, find the least common multiple (LCM) of the denominators.
The LCM of the denominators is given by
\((x-5)(x-2)\)Now, adjust the fractions based on the LCM
\(\begin{gathered} \frac{x^2}{x-5}\times\frac{(x-2)}{(x-2)}=\frac{x^2(x-2)}{(x-5)(x-2)} \\ \frac{8^{}}{x-2}\times\frac{(x-5)}{(x-5)}=\frac{8(x-5)}{(x-2)(x-5)} \end{gathered}\)So, the expression becomes
\(\frac{x^2(x-2)}{(x-5)(x-2)}-\frac{8(x-5)}{(x-2)(x-5)}\)Now, apply the fraction rule
\(\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}\)\(\frac{x^2(x-2)}{(x-5)(x-2)}-\frac{8(x-5)}{(x-2)(x-5)}=\frac{x^2(x-2)-8(x-5)}{(x-5)(x-2)}\)Finally, expand the products in the numerator
\(\frac{x^2(x-2)-8(x-5)}{(x-5)(x-2)}=\frac{x^3-2x^2-8x+40}{(x-5)(x-2)}\)Therefore, the given expression as a ratio of polynomials p(x)/q(x) is
\(\frac{x^3-2x^2-8x+40}{(x-5)(x-2)}\)ILL GOVE BRAINLIST!!
A mysterious compound is made up of two elements: X and Y. If the mass
of X is 10 g, and the mass of Y is 2 g, find the mass ratio of X to Y. Type your
work/thought process into the answer field below, and give your final
answer in the next question. *
Answer:gove? Does that mean love
Based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number.
PLEASE ANSWER!!!
The number of students that bike to school is 18
How to determine the valueThe median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.
We should also know that the median is one of the measures of central tendency.
From the information given, we have that the data set representing the number of students is;
10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Then, we have that the median number is;
Median = 17 + 18/2
add the values
Median = 35/2
Divide the values
Median = 18 students
Learn more about median at: https://brainly.com/question/26177250
#SPJ1
PLZ HELP FAST shsggsgsgsbdfikand
Answer:
x y-values
1 175
2 175
3 225
4 275
The domain is 1,2,3,4 it would be from 1 to 4 if the electrician bills for partial hours, or greater than 4, but this is not in the chart.
The range is 175,225,275. Again there could be other values in between or greater than 275, but it is not in the chart.
Step-by-step explanation: It is a function because for each x-value there is only one y-value, even if the y-value is the same for two of the x-valus
You spin each spinner and find the sum. How many different sums are possible?
these are the spinners:
The different sums are possible are 18.
As, the number of different sums possible is given by the equation:
Number of different sums = n x m
In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.
So, the different sums are possible
= 2 x 3 x 3
= 18
Learn more about outcome here:
https://brainly.com/question/32037007
#SPJ1
You obtain a 60-day note from a bank for $5200. The loan takes place on November 20, and the costs include $73.38 for interest and $29.12 in other charges. How much, in dollars, is due at the end of 60 days?
Answer:=102.5
Step-by-step explanation:
lesson 6.1
Graph the image of the figure using the transformation given.
options are out of the last 3 images
The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0) are graph of the image of the figure.
Hence, Option B is the correct answer.
What is translation?
A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.
Given that,
The translation is 1 units left and 5 units up.
The coordinates of the given figure are R(-3, -3), S(-3, -1), T(2, 0) and
U(1, -5).
Now, If the translation is 1 units left and 5 units up, then the coordinates become (x - 1, y + 5).
Hence, Coordinates for the image of the graph are;
R' = (-4 - 1, 2 + 5) = (-5, 7)
S' = (-3 - 1, -1 + 5) = (-4, 4)
T' = (2 - 1, 0 + 5) = (1, 5)
U' = (1 - 1, -5 + 5) = (0, 0)
Hence, The coordinates are R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0).
Therefore, The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and
U' (0, 0) are graph of the image of the figure.
Hence, Option B is the correct answer.
Learn more about the translation visit:
https://brainly.com/question/28349534
#SPJ1
А
о Р
4
OP =
04
O 3.5
O 3