Answer:
Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.
due in 1 hour ok help
Answer:
x = 13.2
Step-by-step explanation:
We know that
sin theta = opp / hyp
sin 27 = y/x
sin 27 = 6/x
x sin 27 =6
x = 6/sin 27
x=13.21613559
Rounding to 1 decimal place
x = 13.2
There are three people in Lee's family.
The range of their shoe sizes is 3.
Two people in the family wear shoe size 6.
Lee's shoe size is not 6 and it is not 3.
What is Lee's shoe size?
Answer:
αѕ hєrє thє ѕhσє rαngє íѕ gívєn = 3
αnd thє lєє fαmílч íѕ cσnѕíѕtєd σf thrєє pєσplє
thє ѕhσє ѕízє σf twσ pєσplєѕ = 6
wє knσw thαt rαngє = highest observation - lowest observation
so there are two probalities that lee s shoe size can be higher than the other two members by 3 units or greater than the other two members by 3 units
but one limitation given here that the lee shoe size is not smaller than the other two members by 3 units
so lee s shoe size = 6+3= 9 (ans)
Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.
What is an acceptable domain for this situation?
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).
The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.
From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).
Hence the domain of the function is:
0 < a < ∞
How many solutions does the following equation have:
16y + 7 = -3y + 10 + 8y
Answer:
one solution only
Step-by-step explanation:
16y + 7 = -3y + 10 + 8y
16y + 3y - 8y = 10 - 7
11y = 3
y = 3/11
Name the marked angle in 2 different ways.
Answer:
<NKM is the first.the second is <MKN
Answer:
< NKM and <MKN
Step-by-step explanation:
Using the quadratic formula to solve x2 = 5-x, what are the values of x?
-1+/21
1-1+/19
5+/21
2.
1+ 191
2.
Answer:
Step-by-step explanation:
First get everything on the same side of the equals sign and set the quadratic equal to 0:
[tex]x^2+x-5=0[/tex] where a = 1, b = 1, c = -5:
[tex]x=\frac{-1+-\sqrt{1^2-4(1)(-5)} }{2(1)}[/tex] which simplifies down a bit to
[tex]x=\frac{-1+-\sqrt{21} }{2}[/tex] and your 2 solutions are
[tex]x=\frac{-1+\sqrt{21} }{2}[/tex] and [tex]x=\frac{-1-\sqrt{21} }{2}[/tex]
During a nature walk, Mary identified
24 species of animals and plants.
Mary said
1/5
of the species she identified were
animals. Can this be correct? Explain.
Answer:
No, it cannot be correct.
Step-by-step explanation:
1/5 of 24 is 4.8.
This would mean that Mary would have identified 4.8 animals.
This is logically incorrect, because the number of animals has to be a full number. There cannot be any decimals, or parts of animals.
So, this cannot be correct.
The number of views on a viral video can be modeled by the function
G(t)=960(2}^t+1
Write an equivalent function of the form G(t)=ab^t.
An equivalent function can be written as [tex]G(t) = 1920 \times 2^t[/tex]
What is equivalent fraction?
Fractions that represent the same amount or portion of a whole, but have different denominators and numerators is called Equivalent fractions.
They are equal in value, but may have different forms.
We can multiply or divide both the numerator and the denominator of a fraction by the same number for find equivalent fractions.
Some examples are 2/4 is equivalent to 1/2 because if you divide both the numerator and the denominator of 2/4 by 2, you get 1/2.
Starting from the given function, we can simplify it as
[tex]G(t) = 960(2^t + 1) \\ G(t) = 960 \times 2^t \times 2^1 \\ G(t) = 1920 \times 2^t[/tex]
We can see that this function is of the form
[tex]G(t) = ab^t[/tex]
where a = 1920 and b = 2.
Therefore, an equivalent function can be written as [tex]G(t) = 1920 \times 2^t[/tex]
Learn more about equivalent fraction here,
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Which expression represents the greatest value?
Answer:
"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest
+1 is the greatest then
so -2+1 is the greatest
Can someone help pls ? Thanks
Answer:
13
Step-by-step explanation:
Prime numbers are only divisible by 1 or themselves.
No other factors
Which point satisfies both f (x) = 2X and g(x) = 3?
Answer: uhh 76t4
Step-by-step explanation: words here
Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7
Step-by-step explanation:
[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
[Taking sq.root 3 common]
[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]
[tex] = (8 - 5) \sqrt{3} [/tex]
[tex] = 3 \sqrt{3} (ans)[/tex]
[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
[Taking sq.root 7 common]
[tex] = (5 + 4 - 8) \sqrt{7} [/tex]
[tex] = (9 - 8)\sqrt{7} [/tex]
[tex] = 1 \sqrt{7} [/tex]
[tex] = \sqrt{7} (ans)[/tex]
Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?
Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Answer:
y = 2x -11
Step-by-step explanation:
The equation of a line that passes through point x1, y1 is given as
y - y1 = m (x - x1)
where m is the slope of the line
Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line
y - 5 = 2 (x - 8)
y - 5 = 2x - 16
add 5 to both sides
y = 2x - 16 + 5
y = 2x -11
Proving the Converse of the Parallelogram Side Theorem
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i hope you guys didn't have to suffer thru the rest like I did c,:
here is THE REST OF THE ANSWERS!
Step-by-step explanation:
THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....
8. angle LNO is congruent to angle NLM because of CPCTC
9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem
10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem
11. LMNO is a parallelogram because of the def. of a parallelogram
I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!
We will use the converse of alternate interior angles theorem to prove LMNO is a Parallelogram.
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.
The proof is as follows:
Statements Reasons
1) LO ≅ MN Given
2) ON ≅ LM Given
3) LN ≅ LN Reflexive property
4) Δ LON ≅ Δ NML SSS congruency rule
5) ∠ NLO ≅ ∠ LNM CPCTC
and ∠ MLN ≅ ∠ LNO
6) LM ║ ON and LO ║ MN converse of alternate interior angles theorem
7) LMNO is a Parallelogram Property of Parallelogram
For more references on Parallelogram, click;
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which event has exactly 12 possible outcomes?
tossing a coin 6 times
tossing a coin and randomly choosing 1 of 4 different cards
rolling a number cube with sides labeled 1 -6 and then rolling the number cube again
rolling a number cube with sides labeled 1-6 and tossing a coin
please help me TwT
Answer:
rolling a number cube with sides labeled 1-6 and tossing a coin
Step-by-step explanation:
Please help me please ASAP
Answer:
x = 17
Step-by-step explanation:
(5x-23) + (7x-1) = 180
12x - 24 = 180
12x = 204
x = 17
Answer:
x = 17
Step-by-step explanation:
The 2 given angles are same- side interior angles and sum to 180° , then
7x - 1 + 5x - 23 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
.
The diagram shows a right-angled triangle.
11 cm
to
8 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answer:
x ≈ 43.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{11}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{8}{11}[/tex] ) ≈ 43.3° ( to 1 dec. place )
Please help and thank u
Answer:
The answer to this question is C.
What is the area of the green shaded part?
Answer:
[tex] 7.74 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the green shaded part
= Area of square with side 6 cm - Area of circle with radius (6/2=3) 3 cm.
[tex] = {side}^{2} - \pi {r}^{2} \\ = {6}^{2} - 3.14 \times {3}^{2} \\ = 36 - 28.26 \\ = 7.74 \: {cm}^{2} [/tex]
please help asap sdjf;lskdjlfksjldfjlskdflsd
Answer:
A = 6.1 units²
Step-by-step explanation:
Δ ABC and Δ A'B'C' are congruent, since the translation only shifts their position , but does not change their dimensions, then
AB = A'B' = 6.1
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 2 and h = 6.1 , then
A = [tex]\frac{1}{2}[/tex] × 2 × 6.1 = 1 × 6.1 = 6.1 units²
The instantaneous coordinates of a particle are x=(4t-1) m and y=8t^2 m. Calculate average velocity at time interval 1s to 2s
Answer:
The average velocity of the particle is [tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Step-by-step explanation:
In vector terms, the average velocity of a particle ([tex]\vec v_{avg}[/tex]), in meters per second, at a given time change ([tex]\Delta t[/tex]), in seconds:
[tex]\vec v_{med} = \frac{\Delta x}{\Delta t}\,\hat{i} + \frac{\Delta y}{\Delta t}\,\hat{j}[/tex] (1)
Where [tex]\Delta x[/tex] and [tex]\Delta y[/tex] is the change in position for x and y axes, in meters.
[tex]\Delta x = x(2) - x(1)[/tex]
[tex]\Delta x = (4\cdot 2 - 1)-(4\cdot 1 - 1)[/tex]
[tex]\Delta x = 4\,m[/tex]
[tex]\Delta y = y(2) - y(1)[/tex]
[tex]\Delta y = 8\cdot (2)^{2}-8\cdot (1)^{2}[/tex]
[tex]\Delta y = 24\,m[/tex]
[tex]\Delta t = 2\,s - 1\,s[/tex]
[tex]\Delta t = 1\,s[/tex]
[tex]\vec v_{avg} = \left(\frac{4\,m}{1\,s}\right)\,\hat{i} + \left(\frac{24\,m}{1\,s} \right) \,\hat{j}[/tex]
[tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex]
The solutions of x^2=16x-28 are
Answer:
the solutions of x^2=16x-28 are
2) 2 and 14
What is the value of x in the equation 3x-4y=65, when y equals 4?
Answer:
x = 27
Step-by-step explanation:
3x - 4y = 65
3x = 65 + 4y
Find x, when y = 4
3x = 65 + 4 (4)
3x = 65 + 16
3x = 81
x = 27 [tex][ \ x = \frac{81}{3}\ ][/tex]
What is the explicit formula for this sequence?
2, 10, 50, 250, 1250, ...
O A. an = 2(5)(n-1)
O B. an = 5(2)(n-1)
O C. a, = 2 + (5)"
O D. an = 2(5)"
Answer:
O D. an = 2(5)"
Step-by-step explanation:
Given the expression/sequence below
2, 10, 50, 250, 1250, ...
O D. an = 2(5)"
The explicit formula is C
a0= 2*5^0= 2
a1=2*5^1= 10
a2= 2*5^2= 50
a3=2*5^3= 250
a4=2*5^4= 1250
Could someone please help me if you don’t mind?
Answer:
v = lhw
Step-by-step explanation:
[tex]\frac{v}{lh} = w[/tex]
v = lhw
Find the value of x,y,z.
What is value of x,y,z.
Answer:
[tex]x=7\\y=128\\z=128[/tex]
Step-by-step explanation:
Value of x:-
Form an equation:
[tex]4x+24=7x+3[/tex] {opposite / vertical angles are equal}
Subtract 7x from both sides:
[tex]4x+24-7x=7x+3-7x[/tex]
[tex]-3x+24=3[/tex]
Subtract 24 from both sides:
[tex]-3x+24-24=3-24[/tex]
[tex]-3x=-21[/tex]
Divide both sides by -3
[tex]-3x/-3=-21/-3[/tex]
[tex]x=7[/tex]
Value of y and z:-
Value of x is 7 so replace x in the equations:
[tex]4(x)+24=52\\7(7)+3=52[/tex]
Now that we have the value of x, its easy to find y and z
[tex]52+52+y+z=360[/tex]
{complete circle makes 360°}
[tex]104+y+z=360[/tex]
[tex]y+z=360-104[/tex]
[tex]y+z=256[/tex]
Divide 256 by 2 to get value of each variable:
vertically opposite angles (y & z) are equal
[tex]256/2 = 128[/tex]
[tex]y=128\\z=128[/tex]
∴ CHECK: 128 + 128 + 52 + 52 = 360°
hope this helps...
Answer:
X=7
Y and Z = 128
Step-by-step explanation:
7X+3=4X+24
it is equal coz by the opposite angle
find the value of X
7x+3=4x+24--------------collect like term
3x=21----------divided by 3
x=7
then 7x+3=52
4x+24=52
SR is the line that measure 180°
that means (7x+3)+Z=180°
use the value of X into the equation
Z=180-52
Z=128
it means Z and Y are equal so Y= 128
Find the volume of the composite solid below.
4 in.
4 in.
5 in.
5 in.
5 in.
Answer:
326.06 in^3
Step-by-step explanation:
Volume of the cylinder = [tex]\pi[/tex] · [tex]r^{2}[/tex] · h
Volume of the cylinder = [tex]\pi[/tex] · [tex]4^{2}[/tex] · 4
Volume of the cylinder = [tex]\pi[/tex] · 16 · 4
Volume of the cylinder = [tex]\pi[/tex] · 64
Volume of the cylinder = 201.06 in^3
Volume of the composite = length · width · height
Volume of the composite = 5 · 5 · 5
Volume of the composite = 125 in^3
201.06 + 125 = 326.06 in^3
in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36
Math geometry show work Thanks
Problem 1, part (a)
Answer: FalseFor instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
====================================================
Problem 1, part (b)
Answer: trueThis is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
====================================================
Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.