Answer:
[tex]Q_3 = 56.45[/tex] --- The third quartile
[tex]Var = 370.18[/tex] -- Variance
Step-by-step explanation:
Given
[tex]Q_1 = 30.8[/tex] -- First quartile
[tex]Q_2 = 48.5[/tex] --- Median
[tex]\bar x = 42[/tex] --- Mean
[tex]Skp = -0.38[/tex] --- Coefficient of skewness
Solving (9): The third quartile [tex]Q_3[/tex]
This is calculated from
[tex]Skp = \frac{Q_1 + Q_3 - 2Q_2}{Q_3 - Q_1}[/tex]
So, we have:
[tex]-0.38 = \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}[/tex]
Cross Multiply
[tex]-0.38 (Q_3 - 30.8)= 30.8 + Q_3- 2*48.5[/tex]
Open bracket
[tex]-0.38Q_3 + 11.704= 30.8 + Q_3- 97.0[/tex]
Collect like terms
[tex]-0.38Q_3 -Q_3= 30.8 - 97.0- 11.704[/tex]
[tex]-1.38Q_3= -77.904[/tex]
Divide both sides -1.38
[tex]Q_3 = \frac{-77.904}{-1.38}[/tex]
[tex]Q_3 = 56.45[/tex] --- approximated
Solving (b): The variance
First, calculate the standard deviation from:
[tex]3IQR = 4SD[/tex]
[tex]IQR= Q_3 - Q_1[/tex]
So:
[tex]3IQR = 4SD[/tex]
[tex]3(Q_3 - Q_1) = 4SD[/tex]
Make SD the subject
[tex]SD = \frac{3}{4}(Q_3 - Q_1)[/tex]
[tex]SD = \frac{3}{4}(56.45 - 30.8)[/tex]
[tex]SD = \frac{3}{4}*25.65[/tex]
[tex]SD = \frac{3*25.65}{4}[/tex]
[tex]SD = \frac{76.95}{4}[/tex]
[tex]SD = 19.24[/tex]
So, the variance is:
[tex]Var = SD^2[/tex]
[tex]Var = 19.24^2[/tex]
[tex]Var = 370.18[/tex]
What two numbers multiply to 7 and add up to -6?
Answer:
-7 and 1 multiply to 7 and add up to -6
Step-by-step explanation:
-7 and 1 multiply to 7 and add up to -6
7 times a certain number is decreased by 8 and the result is equals to 20
Answer:
let x represent the number
7x-8=20
7x=20+8
7x=28
x=28/7
x=4
this is the correct answer
Answer:
7x-8=20 or x=4
Step-by-step explanation:
Let's say the certain number is x
7x-8=20
Add 8 on both sides:
7x-8+8=20+8
Simplify:
7x=28
Divide 7 on both sides:
[tex]\frac{7x}{7}[/tex]=[tex]\frac{28}{7}[/tex]
Simplify:
x=4
Brittany stamps 20 letters in 1
hour. How many hours will it
take her to stamp 380 letters?
pls help lol I don’t understand it at all :((
Answer:
I only know these, I am not sure of the answers too.
Step-by-step explanation:
Types of angles : 20°(acute angle), 90°(right angle)
Key information :
Equation : 20° + x° = 90°
Solution : x = 70°
B = P + Prz solve for r
Answer:
(B-P) / Pz = r
Step-by-step explanation:
B = P + Prz
Subtract P from each side
B-P = P -PPrz
B-P = Prz
Divide each side by Pz
(B-P) / Pr = Prz/Pz
(B-P) / Pz = r
help with full calculations
Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
__
3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.
I REALLY NEED HELP RIGHT NOW! T^T
Applying the 30-60-90 Theorem, Solve this.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)
14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]
14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y
14=y
for x
using pythagorsa theorem
H^2=P^2+B^2
14^2=X^2+(7[tex]\sqrt{3}[/tex])^2
196=X^2+147
196-147=X^2
49=X^2
[tex]\sqrt{49}[/tex]=X
7=X
Solve the inequality -8m < 24
Answer:
m > -3
Step-by-step explanation:
-8m/-8 < 24/-8
when dividing by a negative number the sign changes
m > -3
A rectangular park 60m long and 40m broad is surrounded by a path of 4m. Then the area of path will be:
Answer:
A = 864 m^2
Step-by-step explanation:
For a rectangle of length L and width W, the area is given by:
A = W*L
We know that the park has:
L = 60m
W = 40m
Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:
L' = 60m + 2*4m
W' = 40m + 2*4m
(as you can see in the sketch at the end)
The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.
This is:
A = L'*W' - *W
A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m
A = 68m*48m - 60m*40m
A = 864 m^2
hi pls help i’ll give brainliest
Answer:
Nuclear fusion that takes place between hydrogen atoms.
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.
A small toy block shaped like a right rectangular prism measures 6 cm long, 3 cm wide, and 2 cm high. What is the volume of the toy block?
36cm³
Step-by-step explanation:
Volume= mass
density
In C = A + B, what is the value of the entry represented by C41?
OA. -2
OB. 2
Ос.
-16
OD. 16
Answer
C41 = 2
This very simple to do.
First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.
Then multiply by the scalar which is 2 to get,
Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,
-3 x 4= -12
We now add these two corresponding entries to obtain,
14+-12= 2
Can someone please help me with my homework
Answer:
a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)
a=1 goes to the first graph
a=0.25 goes to the second graph
Step-by-step explanation:
The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol
One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.
Answer:
45°
Step-by-step explanation:
(180-90)/2 = 90/2 = 45°
The answer is 45°.
Step-by-step explanation:
Hey there!
Since it is an isoceles triangle two angles must be equal.
Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.
Then;
x+x+90° = 180° { Sum of interior angles of a triangle is 180°}
or, 2x + 90° = 180°
or, 2x= 180° - 90°
or, 2x = 90°
or, X= 90°/2
or, X=45°.
Therefore, the other angles are 45° and 45°.
Hope it helps!
Which graph has a range of (-inifinty,O]
Explain what you think
Answer:
Step-by-step explanation:
It's the graph on the left. First of all, range is a y-value thing (as opposed to an x-value thing). If we "read" that range from left to right, we have to begin our range interval at -∞, which actually has no beginning, and end our range interval at 0. The graph on the left goes does into infinity and maxes out at 0. (The one on the right starts at 0 and goes up into +∞).
I NEED THIS ANSWERED ASAP PLEASE HELP!!! select the correct answer for points
Answer:
C. 120°
Step-by-step explanation:
length of arc = 4π cm
r = 6 cm
central angle = s/r
=> central angle = 4π/6
=> central angle = 2π/3 radians
In degrees,
central angle = (2π/3)(180/π) = 120°
hope this helps and is right. p.s i really need brainliest :)
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
Which equation should you solve to find x?
Answer:
C
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C
Note
sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]
If 6x − 8 = 7x, then 13x =_____?
What's the exact length of BC?
A) 8√3
B) 5√6
C) 12
D) √306
Answer:
The answer is (15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
They also have a pdf for it
copy and paste this pdf it should help you mepanswers.pdfStep-by-step explanation:
h(x)=x−4h
What is the domain of h?
Answer:
h= x/ x+4
Step-by-step explanation:
Move all terms to the left side and set equal to zero, Then set each factor equal to zero.
Una micra (μm) es una milésima de milímetro. Si la densidad del agua es 1000 kg/m³, ¿cuál es la masa de 10⁹ μm³ de agua?
Answer:
La masa de 10⁹ μm³ de agua es 1 mg.
Step-by-step explanation:
La densidad del agua es:
[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]
En donde:
m: es la masa =?
V: es el volumen = 10⁹ μm³
Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:
[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]
Ahora, la masa es:
[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]
Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.
Espero que te sea de utilidad!
1.) Write an equation of the line that passes through the point (3,-2) and is
perpendicular to y=-1/2X+4.*
Your answer
Answer:
y = 2x - 8
Step-by-step explanation:
Y=-7(x+3)(x-2) in standard form
Answer:
7 x − y = 17
Step-by-step explanation:
Apply the distributive property.
y + 3 = 7 x+ 7 ⋅ − 2
Multiply 7 by − 2 .
y + 3 = 7x − 14
Rewrite the equation with the sides flipped.
7 x − 14 = y + 3
Move all terms containing variables to the left side of the equation.
Subtract y from both sides of the equation.
7x−14−y=3
Move -14.
7x−y−14=3
Step-by-step explanation:
PLZZZZ HELP I WILL MARK BRAINLIEST!!!
Answer:
41.1 feet of ribbon was leftover
(fraction form: 41 1/10)
Step-by-step explanation:
122 1/2 = 122.5
32 2/5 = 32 4/10 = 32.4
122.5 x 0.4 = 49
122.5 - 49 = 73.5
73.52 - 32.4 = 41.1
41.1
Answer:
Step-by-step explanation:
40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.
Equation: y=p%·x
p=40% x=122.5
Solve the equation for y.
y=p%·x
y=40%·122.5'
Converting percent to decimal.
p = 40%/100 = 0.4
y=0.4·122.5
y=49
[tex]49-32\frac{2}{5}[/tex]
[tex]49-\frac{162}{5}[/tex]
[tex]\frac{83}{5}[/tex]
[tex]16\frac{3}{5}[/tex]
Answer:
Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.
Five and one half of 2 and one third is what number?
Given:
Five and one half of 2 and one third.
To find:
The number for the given statement.
Solution:
Five and one half = [tex]5\dfrac{1}{2}[/tex]
2 and one third = [tex]2\dfrac{1}{3}[/tex]
The given statement is five and one half of 2 and one third.
Here, the word "of" is used for multiplication.
So, the expression for the given statement is:
[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]
[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]
[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]
[tex]=\dfrac{77}{6}[/tex]
Therefore, the required number is [tex]\dfrac{77}{6}[/tex].
Which series is convergent? Check all that apply.
Answer:
The convergent series are;
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
(And)
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
Step-by-step explanation:
A series in mathematics is the sum of a sequence of numbers to infinity
A convergent series is a series that sums to a limit
From the given options, we have;
First option
[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]
As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges
Second option
[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]
As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges
Third option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fourth option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fifth option
[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]
As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.
Answer:
C and D
Step-by-step explanation:
Edge 2021
please help me i really need help
Answer:
90
Step-by-step explanation:
Answer:
LITERALLY THESE WORDS: Because it goes up 8 and over 15
Step-by-step explanation:
if the goes up 8 and over 15 that has to be the slope.
I hope this helps even though its probably not :)
There are 29 students in Mrs. Dixon's science class. On the last test, only 1 student earned the median score of 84.
How many students scored an 84 or lower?
A - 15
b - 14
C - 13
D - 12
Answer:
A
Step-by-step explanation:
Median can be described as the number that occurs at the middle of a set of observations.
for example, in the set of numbers, 1 2 3 4 5, the median is 3
median = (first number + last number) / 2
If there are 29 students,
median = (1 + 29) / 2 = 30/2 = 15
the 15th students scored 84
and students between 1 - 14 scored lower than 84
so, 15 students scored an 84 or lower
anong uri ito ng NGO/PO?
[tex]_____________________________________[/tex]
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂