The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.
What is mean ?
mean can be defined as the ratio of sum of the total observations and the number of total observations.
Given set of data
11,13,17,20,22,25,27,31,31,33
Mean = 11 +13+17+20+22+25+27+31+31+33/10
= 230/10
=23
Hence mean = 23
The (n/2)th term= the 5th term
=22
The (n/2+1) term = The 6th term
= 25
The median = 22+25/2
=23.5
Range = Highest term - lowest term
=33- 11
=22
Here lower half {11,13,17,20,22}
The middle number of lower half is first quartile.
Q₁ = 17
And lower half is{25,27,31,31,33}
The middle number of upper half is third quartile.
Q₃=31
Interquartile Range =Q₃-Q₁
=31-17
=14
Hence, The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.
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Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 5 laps?
Number of laps 2 4 6 8 10
Time (min) 18 36 54 72 90
It will take Charlie ___
minutes to run 5 laps.
270 mins - 10 laps
xmins -5 laps
(cross multiply)
270*5=10x
10x=1350
x= 1350/10
x=135 mins
Which expression is equivalent?
Answer:
The first one 3^7 *1/3-4
Step-by-step explanation:
What is the vector equivalent to the directed line segment from the point?
The vector equivalent to the directed line segment from the point (x1, y1) to the point (x2, y2) is the vector <x2-x1, y2-y1>.
The vector of a directed line segment is the difference between the two endpoints of the line segment. In this case, the endpoints are the points (x1, y1) and (x2, y2). Therefore, the vector of the directed line segment is equal to the vector <x2-x1, y2-y1>.
The vector equivalent of a directed line segment from the point (x1, y1) to the point (x2, y2) is the vector with initial point (x1, y1) and terminal point (x2, y2). This vector is equal to the vector form <x2-x1, y2-y1>, which describes the displacement from the initial point to the terminal point. This vector can also be written in component form, meaning the magnitude of the vector in the x-direction is x2-x1, and the magnitude of the vector in the y-direction is y2-y1.
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Help me please!!! …..
Answer:
7/25= 14/50 3/10= 15/50 common denominator: 50 so, 7/25 < 3/10
Helpppppppppppppppp
Which one
Answer:
1. y = -2x - 4
2. y = 3x + 2
3. Horizontal
find area of blue shaded region
Answer:
[tex] \approx \: 7.33 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the blue shaded region
[tex] = \frac{ \theta}{360 \degree} \times \pi r_1^2 - \frac{ \theta}{360 \degree} \times \pi r_2^2 \\ \\ = \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\ \\ = \frac{ 3.14 }{3} \times 7 \\ \\ = \frac{21.98}{3} \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^{2} [/tex]
(iii) (6-5xy) (6 + 5xy)
Hello there!
Answer:
[tex]36 - 25x^{2}y^{2}[/tex]
Step-by-step explanation:
We can use the special formula:
[tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
If a = 6 and b = 5xy then:
[tex](6 - 5xy)(6 + 5xy) = 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]
This is the final answer
But if we don't know this formula, we can solve it other way:
[tex](6 - 5xy)(6 + 5xy) = 6^{2} + 5xy * 6 - 5xy * 6 - (5xy)^{2} = \\\\= 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]
Becky is able to run up a 3. 00 m high flight of stairs in 2. 5 s if she has a mass of 50 kg how much power did she develop during her run up the stairs how long will it take becky in question 6 to run up a flight of stairs 4. 5 m high?
With a mass of 50 kg, Becky used 588 watts power to sprint up a 3.0 m high set of stairs in 2. 5 seconds. She is able to run up a 4.5 m high flight of stairs in 3.75 s.
How do you calculate power going up stairs?Work (in joules) equals your weight (in newtons) x the height of the stairs (in meters.) The power you now possess is equal to the sum of your labor times the duration of that labor, or: Work (measured in joules) divided by time equals power, measured in watts (in seconds.)
Given that mass of Becky is 50 Kg
gravity of earth is 9.8 m/s²
height of stairs is 3.0 m
time taken to run up in stairs is 2.5 s
Power = work done/ time taken
P = (50*9.8*3.0)/2.5
P = 1470/2.5
P = 588 watt
Becky is able to run up a 3.0 m high flight of stairs in 2.5 s
She is able to run up a 4.5 m high flight of stairs in t = (2.5 * 4.5)/3
t = 11.25/3
t = 3.75 s
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Alberts double number line worked example find mistake
Albert has made mistake in double number line in step 3 and 4.
The best time to utilize a double number line diagram is when the quantities have various units. The existence of several, maybe indefinitely numerous pairs of numbers in the same ratio, including those with rational number elements, can be illustrated using double number line diagrams. Unit rates (R) appear in the pair, just like in tables (R, 1).
Numerous equivalent ratios can be discovered using a double number line diagram. For instance, "Mix 5 cups of cranberry juice with 2 cups of soda water," is how a recipe for fizzy juice is written. Cranberry juice and soda water are combined in a 5:2 ratio. Equivalent ratios are produced by multiplying each constituents by the same number.
Albert has made mistake in step 3 and step 4,
Firstly he has written wrong units for the respective number line,
If ratio of 2 parts of blue and 5 parts of red is used(2:5)
The equivalent ratio will be 10:25
We get the desired output by multiplying (2:5) by 5.
The Correct units will be 5 instead of 20
And the number corresponding to 25 will be 10.
The correct double number line is drawn below.
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PLEASE, I'll GIVE YOU A FIVE STAR RATING AND THANKS WITH COMMENT!!!!!
If you double the amount of fluid ounces, the amount of cups also double
There is proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)
Answer:
C) [tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex], [tex]\overline {BD}[/tex] ≅ [tex]\overline {CD}[/tex], [tex]\overline {AD}[/tex] ≅ [tex]\overline {AD}[/tex]
Step-by-step explanation:
From the given diagram, we have;
Segment [tex]\overline {AB}[/tex] in triangle ΔABD is congruent to segment [tex]\overline {AC}[/tex] in triangle ΔACD
Segment [tex]\overline {AD}[/tex] is congruent to segment [tex]\overline {AD}[/tex] by reflexive property
For ΔABD to be congruent to ΔACD, by the Side-Side-Side, SSS, congruency postulate, all the sides of ΔABD should be congruent to the corresponding side of ΔACD, the required added statement is therefore;
Segment [tex]\overline {BD}[/tex] is congruent to segment [tex]\overline {CD}[/tex]
The correct option is therefore option C;
[tex]\overline {AD}[/tex] ≅ [tex]\overline {AD}[/tex], [tex]\overline {BD}[/tex] ≅ [tex]\overline {CD}[/tex], [tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex]
Answer:
c
Step-by-step explanation:
I neep help asap deadline 4:00pm
Answer:
x = -2 to x = 1
Step-by-step explanation:
A function is constant when the y value does not change (i.e. the graph is a horizontal line). This is true between x = -2 and x = 1.
Answer:The Funcation is Constact from x=-5 to x=8
Step-by-step explanation:
For what value of k the equation 4x2 2 K 1 )= 0 has real and equal roots?
The values of k are 3 and −1.
Note: The equation taken here is 4x^2 −2(k+1)x+(k+1)=0
Given: Equation 4X^2−2(k+1)x+(k+1)=0 has real and equal roots i.e., its discriminant is zero.
⇒b2−4ac=0
[An expression that can be produced from the square of a binomial equation is a perfect square trinomial. A perfect square trinomial is a formula that has the elements ax^2 + bx + c and satisfies the condition b^2 = 4ac. The roots of the quadratic equation ax2 + bx + c = 0 are real and equivalent if the discriminant is equal to zero (b2 - 4ac = 0), a, b, and c are real values, and a0.]
For given equation, a=4, b=2(k+1),c=(k+1)
(2(k+1))^2 −4.4(k+1)=0
⇒(2k+2)^2−16(k+1)=0
⇒4k2+8k+4−16k−16=0
⇒4k2−8k−12=0
⇒4(k2−2k−3)=0
⇒k2−2k−3=0
⇒k2−3k+k−3=0
⇒k(k−3)+1(k−3)=0
⇒(k−3)(k+1)=0
⇒k−3=0 and k+1=0
⇒k=3 and k=−1
So, the values of k are 3 and −1.
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PLEASE HELP EMERGENCY
- A $2,500 bond eams 3% interest per year, compounded annually.
a) Write a function, V, that models the value of the bond t years after it is purchased.
b) find the value of the bond after each of the first five years.
PLEASE HELP EMERGENCY
Answer:
chick fil a
Step-by-step explanation:
because chick fil a is always right
Find the value of x pls help
Is P 3 2 and Q 2 3 represent the same point justify?
It is Justified that P and Q are different point.
What is cartesian coordinate plane?The coordinate plane where a location of a point is represented in the form of X and Y coordinate pair, is termed as cartesian plane. In this plane two reference axes are used which are perpendicular to each other.
What is the location of two point stated above?In the question, two-point P (3, 2) and Q (2, 3) are given. As per the cartesian coordinate system a location of a point is represented by a pair of numerical terms. The first numerical terms denote the X coordinate of the point, and the next terms refers the Y coordinate of that point.
Therefore, P and Q are two different points on the cartesian plane. The point p (3, 2) where 3 is the X coordinate and the distance from Y axis is 3 and 2 is the Y coordinate and distance from X axis is 2.
Similarly for the point Q (2, 3), 2 denotes the X coordinate of the point Q and 3 is the Y coordinate.
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If a dog is tied to a stake in the center of the yard and the chain is 20 feet long, what is the maximum area that the dog has to play in?
A
314 ft sq
B
125.6 ft sq
C
5,024 ft sq
D
1,256 ft sq
Answer:
Its 125.6
Step-by-step explanation:
20 times Pi is 62.8 and then you multiply this by 2.
22 cm 14 cm 14 cm what is the volume
Answer:
height 14 cm
Step-by-step explanation:
The volume of the cuboid whose dimensions are l = 22 cm, b = 14 cm, h = 14 cm is 4312 cu. cm.
What is the Volume of Cuboid?
Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces.
Here, length of cuboid = 22 cm
Breadth of cuboid = 14 cm
Height of cuboid = 14 cm
Volume of Cuboid = Length X Breadth X Height
= 22 X 14 X 14 cu. cm.
= 4312 cu. cm.
Thus, the volume of the cuboid whose dimensions are l = 22 cm, b = 14 cm, h = 14 cm is 4312 cu. cm.
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What is the value of 3/4- (-3) +(-3/4)
Answer: 3
Step-by-step explanation:
Answer:
What is the value of A?
–4
–3
3 <<< CORRECT
4
Step-by-step explanation:
Edge 2022
What is the value of the "x"?
O x = 180
O x = 45
O x = 135
O x = 90
Answer:
45
Step-by-step explanation:
its going to be the same as the other corner then on the top you have to times by 2 cause it double the size of the bottom
Hiiiooo can someone please help me out!❤️:)
Answer:
144 cm
Step-by-step explanation:
Bottom: 4x11 = 44
Side 3x4x1/2 = 6
Other side = 6 (same)
Slant = 3, 4 and the hypotenuse is 5 (pythagroem triple )
5x11 = 55
Back: 3x11= 33
44+6+6+55+33= 144
20 POINTS!!! HELP ASAP!! What are the domain and range of the function graphed below?
Use the equation x2 - 10x = 11 to fill in the table below.
a) What number is added to both sides so the left side is a perfect square trinomial?
b) After adding the answer from part a) and factoring the left side, what is being squared on the left side?
Answer:
a) 25
b) the square root of 36 should be done
Step-by-step explanation:
x² - 10x = 11
take half of 10 and square it
x² - 10x + 25 = 11 + 25
(x-5)² = 36
x-5 = [tex]\sqrt{36}[/tex]
x - 5 = 6 and x - 5 = -6
x = 11 and x = -1
What composition of rigid motions maps ΔPQR to ΔXZY?
Answer:
it is C.
Step-by-step explanation:
it is C.
The transformation is 6 units left and 2 units down and reflection about x = -2 thus option (C) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As the given XYZ.
Take coordinate of Y(4,3)
Now, take it back 6 units and 2 units down as,
R(4 - 6,3 - 2) = R(-2,1)
Now, reflect the entire image about x = -2 gives the same image as OQR.
Hence "The transformation is 6 units left and 2 units down and reflection about x = -2"
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For questions 3 – 4, use the table to answer the questions.
This table shows the high schools in a metro district and whether they offer hockey and golf.
High school Hockey Golf
East Valley ✔
Central
Lincoln ✔ ✔
Davis
West Pine ✔ ✔
Adams ✔
North River ✔ ✔
A high school is chosen at random from this list.
Let event A = The high school has a hockey team.
Let event B = The high school has a golf team.
3. Which high schools offer both hockey and golf?
What is P(A ∩ B)?
4. Which high schools offer hockey or golf or both?
What is P(A ∪ B)?
We have P(A ∩ B) is 2/5 and P(A ∪ B) is 5/5.
Lincoln and West Pine high schools offer both hockey and golf.
P(A ∩ B) is the probability that a randomly chosen high school has both a hockey team and a golf team. The probability that a school picked at random offers both hockey and golf is 2/5 (Lincoln and West Pine are the only schools that offer both out of 5 total schools.)
East Valley, Lincoln, West Pine, Adams and North River high schools offer hockey or golf or both.
P(A ∪ B) is the probability that a randomly chosen high school has either a hockey team or a golf team or both. The probability that a school picked at random offers either hockey or golf or both is 5/5 (All 5 high schools in the district offer at least one of the sports.)
Therefore, the correct answers of the problem statement are P(A ∩ B) is 2/5 and P(A ∪ B) is 5/5.
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If the acceleration is 6m/s/s and the mass is 3kg, calculate the force? Include the UNIT
Answer:
[tex]f = m \times a = 3 \times 6 = 18 \: n[/tex]
Leslie made a design with purple tiles, gold tiles, and silver tiles. She used: 79 silver tiles, 44 more silver tiles than purple tiles, and 23 more gold tiles than purple. Use the letter g to find the number of gold tiles that Leslie used.
Answer:
58 gold tiles
Step-by-step explanation:
Let silver = s ; purple = p ; gold = g
Number of silver Tiles = 79
44 more silver tiles than purple tiles
Purple tiles = silver tiles - 44
Purple tiles = 79 - 44 = 35
23 more gold tiles than purple tiles:
Number of gold tiles = purples Tiles + 23
Number of gold tiles = 35 + 23 = 58 tiles
is -(-3) = 3 . i know its simple but I need it
Answer:
Yes
Step-by-step explanation:
[tex] - ( - 3)[/tex]
[tex] - 1 \div - 3[/tex]
[tex]3[/tex]
Hope it is helpful....ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 28
Step-by-step explanation:
Why it is called irrational?
The number √2 is called an irrational number because the value of √2 = 1.41421356... and the the value is non terminating and non repeating .
What are Irrational Numbers ?
The Numbers whose vales are Non Repeating and Non Terminating are called as Irrational Numbers ,
also the numbers that cannot be expressed on the form of [tex]\frac{p}{q}[/tex] are called as Irrational Numbers .
the number is given as √2 ;
we know that the values of √2 is = 1.41421356... ,
we see that the the value is non terminating and the numbers after decimal point are non repeating ,
Therefore , the number √2 is an irrational number .
The given question is incomplete , the complete question is
Why the number √2 is called a Irrational Number ?
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