Answer:
Median = 34.55
Quartiles:
Q1 = 33.1
Q2 = 34.55
Q3 = 35.6
Inter Quartile range = 2.5
Step-by-step explanation:
Step 1
We arrange the given the following data from lowest to the highest
32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8
a. Construct a stem-and-leaf display for the data.
Stem and leaf Display
Stem | Leaf
32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9
33 | 0,0,2,2,2,2,5,6,8,8,9
34 | 0,0,1,1,3,4,5,6,6,6,7,7
35 | 0,0,1,1,2,4,5,5,5,5,6,6,
36 | 1,3,4,4,4,5,6,7,7,
37 | 0,1,4,4,6,8
b. Calculate the median and quartiles of these data.
Number of terms = 64
1) Median = 1/2(n + 1)th value
n = 64
= 1/2(64 + 1)th
= 1/2(65)th
= 32.5 th value
This means it is between the 32nd and 33rd value
32nd = 34.5
33rd = 34.6
= 34.5 + 34.6/2
= 69.1/2
= 34.55
2) First Quartile
1/4(n + 1)th value
n = 64
= 1/4(64 + 1)th
= 1/4(65)th
= 16.5th value
This means it is between the 16th and 17th value
16th value = 33.0
17tj value = 33.2
= 33.0 + 33.2/2
= 66.2/2
= 34.55
Q1 --> 33.1
3)Second Quartile = Median
1/2(n + 1)th value
n = 64
= 1/2(64 + 1)th
= 1/2(65)th
= 32.5 th value
This means it is between the 32nd and 33rd value
32nd = 34.5
33rd = 34.6
= 34.5 + 34.6/2
= 69.1/2
= 34.55
Q2 --> 34.55
Third Quartile
3/4(n + 1)th value
n = 64
= 3/4(64 + 1)th
= 3/4(65)th
= 48.75 th value
This means it is towards the 49th value
32nd = 34.5
Hence,
Q3 --> 35.6
Inter Quartile range
Q3 - Q1
= 35.6 - 33.1
= 2.5
Which decimal is less than 2.312
Answer:
Decimals less than 2,312 are: Option A, D, E
Step-by-step explanation:
pls mark brainliest
Find the product in simplest form.
Mia climbs 2/7 of the height of the rock wall. Lee climbs 3/8 of mias distance
What fraction of the wall does Lee climb?
Answer:16/21
Step-by-step explanation:
2 /7÷ 3 /8=2 /7 × 8 /3 = 2 × 8 / 7 × 3= 16 /21
Multiply.
3/8 . 4/5
express your answer in simplest form.
A. 7/13
B. 3/10
C. 12/13
D. 7/40
PLEASE ANSWER!!!!
Answer:
3/10 no.B
Step-by-step explanation:
3/8 × 4/5 = 3/10
what is 200%of 4420
Answer:
8,840
Step-by-step explanation:
Multiply 4420 by 200% to get the answer 8840. You can also multiply 4420 by 2 to get the same answer as you would multiplying by 200%.
Answer:
8840
Step-by-step explanation:
200% * 4420= 8840
Where does the square root of 9.2 go on a number line
Answer:
Literally 3 or next to 3 on the number line
Step-by-step explanation:
The square root of 9.2 is 3.03 or 3 if you wanna round to the nearest whole number. So that's what I mean by 3.03 being right beside 3 on a number line. to check my answer/reply yourself just go to Desmos number line and zoom in to three and beside it you will see 3.03. But you can also just plot three its kinda the same thing unless it has to be exact.
round to the place value of 123,499 the 4 in 123,499
Answer:
123,500
Step-by-step explanation:
That is because 499 is closer to 500 than 400
in 2005 the san francisco bay times reported on a poll in new zealand that found that new zealanders opposed the nation`s new gay-inclusive civil-unions law by a 3-1 ratio. This poll was a call-in poll that cost $1 to participate in, The san francisco bay times article also reported that a scientific polling organization found that new zealanders favor the law by margin of 56.4% to 39.3%. explain to someone who knows no statistics why the two polls can give such a widely differing results and which poll is likely to be be more reliable
Answer:
In the given data reported poll on a new Zealand.
The article reported that new Zealanders favors the law by a margin of 56.4% to 39.3%
These difference in results in which poll is likely to be more reliable is that the San Francisco Bay Times utilized the Voluntary Response technique ( Voluntary reaction strategy is self chosen technique, it's kin decision whether to give reaction or not). So the two surveys can give such generally varying outcomes.
Thus their survey results can't be viewed as dependable
Multiplying and Dividing Rational Numbers
On Tuesday at 2 p.m., the ocean's surface at the beach was at an elevation of 2.2 feet. Winston's house is at an
elevation of 12.1 feet. The elevation of his friend Tammy's house is 3 times the elevation of Winston's house.
Part A
How many times greater is the elevation of Winston's house than the elevation of the ocean's surface at 2 p.m.;
Answer:
Answer:
the answer is 9.9
Step-by-step explanation:
Calculate the area of Circle X if the diameter is 13 inches
Answer:
132.73
Step-by-step explanation:
A=πr^2
13/2 to get the radius =6.
1/3y-18=2 find out the letter
Answer:
y = 60
Step-by-step explanation:
1. Using the geometry tools below, construct a copy of the line segment AB below.
2. Using the geometry tools below, construct a equilateral triangle with side length CD.
Answer:
...................................
Answer:
i dont know sorry
Step-by-step explanation:
Nadia is walking a 3.4-mile trail. She stops to take a break after walking 1.6 miles. Which explains whether the distance Nadia already walked is greater than, less than, or equal to the distance she has left to walk?
Answer:
3.4-1.6=1.5
Step-by-step explanation:
Answer-
3.4-1.6=1.5
Hope this helps :)
What is the value of x in the equation 3 x minus 4 y equals 65, when y equals 4?
x equals 13 and one-fourth
x equals 21 and two-thirds
Answer:27
Step-by-step explanation:
Answer: X=27
Step-by-step explanation: just did dis mfk
The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)=-9.8x^2+10x+1.5. On the surface of the moon, the height is given by g(x)=-1.6x+10x+1.5. How much higher does the rock travel on the moon than on Earth?
How much higher does the rock travel on the moon than on Earth? (Round to the nearest tenth if needed)
Answer:
The answer is 13.1
Step-by-step explanation:
Hello! Hope u still need the answer but the answer for the question above is "13.1"! How did I got the answer you ask? I'll show u! :)
The maximum height of the rock represents the vertex of a parabola. Recall that the x-coordinate of the standard form quadratic function f(x)axbxc is given as x
Hope this help you! I got the answer wrong but and waiting for an answer but it's best if u learn from your mistakes and ask for help! :)
The rock travels 8.2x² meters higher on the Moon than on Earth.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The height above the surface of the Moon is given by g(x) = -1.6x² + 10x + 1.5.
The height above the surface of the Earth is given by f(x) = -9.8x²
+ 10x + 1.5.
To find the difference in height between the two, we can subtract the Earth equation from the Moon equation:
g(x) - f(x) = (-1.6x² + 10x + 1.5) - (-9.8x² + 10x + 1.5)
Which simplifies to:
g(x) - f(x) = 8.2x²
Therefore, the rock travels 8.2x² meters higher on the Moon than on Earth.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
A picture of a bridge in the country of Croatia is shown below
Which type of angle best describes /_ACB?
A. acute
B. right
C. obtuse
D. straight
A cuboid measures 60cm by 40cm by 20cm.
a) Find the area of the largest face in cm 2 and m 2 .
b)Calculate the volume of the cuboid in cm 3 and m 3 .
Answer:
a) The area of the largest face = 2400 cm², The area of the largest face = 0.24 m²
b) The volume of the cuboid = 48000 cm³, The volume of the cuboid = 0.048 m³
Step-by-step explanation:
The volume of any cuboid = L × W × H, where
L is its length
W is its width
H is its height
∵ A cuboid measures 60 cm by 40 cm by 20 cm.
→ Assume that L = 60 cm, W = 40 cm, H = 20 cm
a)
∵ The largest face is the face who has the largest dimensions
∵ L and W are the largest dimensions
∴ The area of the largest face = L × W
∴ The area of the largest face = 60 × 40
∴ The area of the largest face = 2400 cm²
∵ 1 cm = 1/100 m
∴ 1 cm² = (1/100)² m² = 1/10000 m²
∴ The area of the largest face = 2400 × 1/10000
∴ The area of the largest face = 0.24 m²
b)
∵ The volume of the cuboid = L × W × H
∴ The volume of the cuboid = 60 × 40 × 20
∴ The volume of the cuboid = 48000 cm³
∵ 1 cm = 1/100 m
∴ 1 cm3 = (1/100)³ m³ = 1/1000000 m³
∴ The volume of the cuboid = 48000 × 1/1000000
∴ The volume of the cuboid = 0.048 m³
Order and Operate
2(x + 6) – 4 + x
PLEASE HELP ASAP
Answer:
3x+8
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
2(x +6)-4 +x
2x+12 (distributive property)
2x+12-4+x
3x+8
Hope this helps :)
Answer:
3x+12
Step-by-step explanation:
Follow the PEMDAS/GEMDAS order. First, distribute the 2 to the numbers in the parenthesis:
2(x+6)-4+x
↓
2x+16-4+x
Then, subtract the numbers without a variable (the numbers without x):
2x+16-4+x
↓
2x+12+x
Then, add the variables together (the numbers with x):
2x+12+x
↓
3x+12
Hope this is the answer you need.
select the answer with the correct number of decimal places for the following sum 13.914 cm + 243.1 cm + 12.00460 cm=
Answer:
269.0186
Step-by-step explanation:
u also can say 269.0186 =269
Answer:
269.0
Step-by-step explanation:
Line up your numbers and write the significant figures for each:
13.914 → 5 significant figures
243.1 → 4 significant figures
12.00460 → 7 significant figures
Add your numbers:
13.914 + 243.1 + 12.00460 = 269.01860
Simplify your answer according to your significant figures:
For addition, the rule is to round your answer to the least amount of significant figures in your given numbers. Therefore, we round the answer to 4 significant figures, making the answer 269.0
What kind of angle is shown?
what The definition of dilration in Math
A dilation is a function from a metric space into itself that satisfies the identity for all points, where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations always change the size but not the shape of object or figure.
Answer: Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Hope this helped!
Sending U good luck!
7-c<1 ?? HELPPPP!!!MEEEeee
Answer:
c>6, since a negative coefficient reverses the sign
Step-by-step explanation:
7-c<1
-c<-6
c>6
Please help with all part because I will brainliest plus 50 points!!
Answer:
sorry I can only answer b.
3 sec = 36 feet
6 sec = 72 feet
9 sec = 108 feet
if a bag of sugar has 12,400 calories how many calories would there be in a cookie if there was 145 made
Answer:
85 75/145 calories
so about 85.5
Step-by-step explanation:
To get the answer, we are splitting the sugar into cookies, where each cookie will have the same amount of sugar. This means we divide.
The answer is 85 75/145 calories
so about 85.5
Hope this helps :-)
A farmer decides to sell 16 pounds of his 48 pound crop. What percent of his crop did he sell?
Answer:
33%
Step-by-step explanation:
he sold 1/3
La figura mostrada se dividió en tres partes iguales para calcular su área.
Completa el esquema que representa la situación.
Anota la expresión que contiene las operaciones mostradas en el esquema, resuélvela y verifica que obtienes el mismo resultado
Answer:
El área de un rectángulo de largo L y ancho A es: L*A.
El área de un triangulo de alto H y base B es: H*B/2.
Ahora veamos las tres figuras:
Rectángulo amarillo:
Largo = 40m
Ancho = 45m
Área = 40m*45m = 1800 m^2
Rectángulo blanco:
Largo = 40m
Ancho = 35m
Área = 40m*35m = 1400m^2
Triangulo azul:
Base = 35m
Alto = 50m
Área = 35m*50m/2 = 875m^2
Area total = 1800 m^2 + 1400m^2 + 875m^2 = 4075m^2
|13x-4|+12 < 56
Anybody know this cuz I do
Answer:
[tex]\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)[/tex]
Step-by-step explanation:
Inequalities with Absolute Value
We must recall the following rule:
[tex]\text{If }|M|<N,\ N>0[/tex]
Then:
[tex]-N<M<N[/tex]
We have the following inequality:
[tex]|13x-4|+12 < 56[/tex]
Subtracting 12:
[tex]|13x-4|< 56-12[/tex]
[tex]|13x-4|< 44[/tex]
Applying the rule:
[tex]-44<13x-4<44[/tex]
Adding 4:
[tex]-44+4<13x<44+4[/tex]
Operating:
[tex]-40<13x<48[/tex]
Dividing by 13:
[tex]\displaystyle -\frac{40}{13}<x<\frac{48}{13}[/tex]
The solution expressed in interval form is:
[tex]\boxed{\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)}[/tex]
solve using gaussian elimination and show ur work
2y + z = -8
x - 2y - 3z = 0
-x + y + 2z = 3
Add the last two equations to eliminate x :
(x - 2y - 3z) + (- x + y + 2z) = 0 + 3
- y - z = 3
y + z = -3
Subtract this from the first equation to eliminate z, then solve for y :
(2y + z) - (y + z) = -8 - (-3)
y = -5
Plug this into the first equation to solve for z :
2(-5) + z = -8
z = 2
Plug both of these into either the second or third equations to solve for x :
x - 2(-5) - 3(2) = 0
x = -4
a recipe calls for 3\10 cup of sugar for every 5 cups of water how many cups of sugar are needed for 25 cups of water
Answer:
7 1/2
Step-by-step explanation:
3/10x25
What is the base of the expression 11 12?
Answer: 11
Step-by-step explanation:
Which is greater,
3.65 x 10-8 or 3.65 x 10-7
A,3.65 x 10-8
B.65 x 10-7
Answer:
3.65 x 10-7
Step-by-step explanation:
10^-7 is greater than 10^-8, so multiplying by 10^-7 will result in a greater number