Given:
The given data set are:
8,12,14,14,20
8,12,14,14,22
9,13,14,15,19
All of the above
To find:
The set of data that has the highest interquartile range(IQR).
Solution:
We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.
[tex]IQR=Q_3-Q_1[/tex]
All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.
For 8,12,14,14,20,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 8,12,14,14,22,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 9,13,14,15,19,
[tex]IQR=15-13[/tex]
[tex]IQR=2[/tex]
All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.
Therefore, the correct option is D.
A mountain climber took 2 minutes to rappel down 60 feet. Which equation shows the correct calculation to show his movement per minute?
Answer:
–60 ÷ 2 = –30
Step-by-step explanation:
Calculation to determine the equation that shows the correct calculation to show his movement per minute
Using this formula
Speed rate = Distance / Time
Where,
Distance=-60 ft
Time =2 min
Let plug in the formula
Speed rate = -60 ft /2 min
Speed rate = -30
Based on the information given we were told that the climber rappel DOWN which is why the distance was negative.
Therefore the equation that shows the correct calculation to show his movement per minute is –60 ÷ 2 = –30
A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?
Can you solve it on paper
Answer:
28/15
Step-by-step explanation:
It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35
On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?
Answer:
Birds [tex]F_b=14.3\%[/tex]
Gerbils [tex]F_g=42.9\%[/tex]
Fish [tex]F_f=21.4\%[/tex]
Hamsters [tex]F_h=21.4\%[/tex]
Step-by-step explanation:
From the question we are told that:
Sales
Number of birds [tex]n_b=2[/tex]
Number of gerbils [tex]n_g=6[/tex]
Number of fish [tex]n_f=3[/tex]
Number of hamsters [tex]n_h=3[/tex]
Generally the frequency for birds [tex]F_b[/tex] is mathematically given b
[tex]F_b=\frac{n_b}{n}*100[/tex]
[tex]F_b=\frac{2}{14}*100[/tex]
[tex]F_b=14.3\%[/tex]
Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b
[tex]F_g=\frac{n_g}{n}*100[/tex]
[tex]F_g=\frac{6}{14}*100[/tex]
[tex]F_g=42.9\%[/tex]
Generally the frequency for fish [tex]F_f[/tex] is mathematically given b
[tex]F_f=\frac{n_f}{n}*100[/tex]
[tex]F_f=\frac{3}{14}*100[/tex]
[tex]F_f=21.4\%[/tex]
Generally the frequency for fish [tex]F_h[/tex] is mathematically given b
[tex]F_h=\frac{n_h}{n}*100[/tex]
[tex]F_h=\frac{3}{14}*100[/tex]
[tex]F_h=21.4\%[/tex]
Solve this please )x
Answer:
okay so first of all who ever gave you this question, murder them. now second of all if u still have to do this even after murdering them then murder everyone. Finally, Don't stress on this and go watch a movie or something.
Can yall help me need help ASAP
Answer:
18+2x>_0
18/2 + 2x/2
x= 9
Step-by-step explanation:
first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2
Help please!! Will mark brainstest!!
The question is
What do you predict will be the income of someone who has 20 years of experience?
A) the income will be about $72,000 per year
B) the income will be about $63,000 per year
C) the income will be about $36,000 per year
D) the income will be about $49,000 per year
Help! Il give you brainlest
Answer:
What? there is no question here
Step-by-step explanation:
Which is greater -9/6 or 3/-2
Answer:
Step-by-step explanation:
-9/6 im not sure so dont get mand if im wrong
What is m∠B to the nearest tenth?
ACB is right angle triangle. The length of AC is 14.1 and the length of BC is 22.9.
Answer:
18.044
Step-by-step explanation:
hope it helps you good day if I'm wrong tell me right away I'll try it out again.
The measure of ∠B is 31.6 .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle.
These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
In right angle triangle ACB
Base BC= 22.9
Perpendicular AC = 14.1
now , using trigonometric ratio
tan ∠B = [tex]\frac{AC}{BC}[/tex]
tan ∠B = [tex]\frac{14.1}{22.9}[/tex]
∠B = [tex]tan^{-1} 0.615[/tex]
∠B = 31.6
Hence, The measure of ∠B is 31.6 .
To know more about trigonometric ratio here:
https://brainly.com/question/25122825
#SPJ2
Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?
Look at the two-dimensional net shown.
A rectangular pyramid. The rectangular base has a length of 10 meters and height of 3 meters. 2 triangular sides have a base of 10 meters and height of 6.4 meters. 2 triangular sides have a base of 3 meters and height of 8 meters.
Which statements are true?
Check all that apply.
The solid formed by the net will be a rectangular pyramid.
The solid formed by the net will be a square pyramid.
All four triangular faces have an area of 12 m2.
There are two sets of opposite congruent triangular faces.
The base has an area of 30 m2.
Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.
Pyramid B: Base is square with 10 meter sides.
Heights are the same.
Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.
If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),
V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³
The new volume of pyramid B is EQUAL to the volume of pyramid A.
r+b=7
3.75r+2.75b=22.25
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende con una aceleración de 4 m/s2 b) Cuando asciende con una aceleración de 6 m/s2 c) Explique: ¿Por qué el ascensor experimenta diferentes aceleraciones si levanta el mismo peso en ambos casos?
Answer:
a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) Por la fuerza de tensión sobre el cable del ascensor.
Step-by-step explanation:
a) La fuerza neta experimentada por el ascensor ([tex]F[/tex]), en newtons, es:
[tex]F = m\cdot a[/tex] (1)
Donde:
[tex]m[/tex] - Masa, en kilogramos.
[tex]a[/tex] - Aceleración, en metros por segundo cuadrado.
Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = 4\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = 600\,N[/tex]
La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = -6\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = -900\,N[/tex]
La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.
On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.
Answer:
18 People bought hot dogs
Step-by-step explanation:
The question is not complete, but I’m assuming you need the number of people who bought hot dogs.
25 customers bought gas.
72% of them also bought a hot dog.
So thE number of customers who bought hot dogs are 72% of 25
=> 72/100 * 25
=> 0.72 * 25
= 18 people
Marissa bought a piece of wood that is a 4 feet long to make shelves. She saws it into five equ pieces. She then draws the model below to find the length of each piece
In two similar triangles find the ratio of corresponding sides if the areas are 50cm²and 98cm²
Answer:
5:7
Step-by-step explanation:
The areas of two triangles are 50cm²and 98cm².
We need to find the ratio of corresponding sides. It can be calculated as follows :
[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]
So, the ratio of corresponding sides are 5:7.
Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without replacement. Find the probability of drawing at least one yellow ball.
Answer:
2/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 10 balls of which 3 green, 3 red, and the rest yellow
Number of yellow balls = 10 - 3 - 3 = 4
Probability of picking a;
Green ball = 3/10
Red ball = 3/10
Yellow ball = 4/10
If two balls are picked without replacement, the probability that one is at least yellow will be
YR RY YG GY YY
= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9
=12/90 *5
= 2/3
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
A.Vertical angles prove that Angle 2 is congruent to angle 5.
B. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
c. Vertical angles prove that Angle 3 is congruent to angle 6.
D.The triangles are similar because alternate interior angles are congruent.
E.In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
F.The triangles are similar because corresponding sides are congruent.
Answer:
Its the 2nd, 3rd, and 4th answer.
Step-by-step explanation:
: )
Have a great day.
Do you want a explanation?
Answer:
2nd 3rd and 4th
Step-by-step explanation:
I am the best :)
Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?
Answer:
By 2020, there will be 1,147 species of birds left
Step-by-step explanation:
The general model for an exponential decrease is;
y = I(1 - r)^t
where in this case;
y is the number of bird species at a particular decade from the initial
I is the number of birds initially at 1990
r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015
t in this case will be the number of decades after the initial
Mathematically, a decade is 10 years
The difference between 2020 and 1990 is 30
The number of decades in 30 years is 30/10 = 3
so t will be 3 here
Substituting these values into the equation, we have
y = 1200(1-0.015)^3
y = 1200(0.985)^3 = 1,146.8
To the nearest whole number, this is 1,147
Please help me out with this
Answer:
112 cm^2
Step-by-step explanation:
Area of a rhombus is equal to half of the product of the diagonals, so it is 14 * 2 * 8 / 2 = 14cm * 8cm = 112 cm^2.
Other point of view: It is the sum of areas of two triangles of area 14*8/2. So the area is 14*8.
What’s 4.5 m = what? cm plz anyone help
Answer:
450 cm
Step-by-step explanation:
1 meter is equal to 100 cm. Thus, we multiply 4.5 with 100 which yields 450 cm.
anybody know how to do this?????
Answer:
[tex]x = 30[/tex]
Step-by-step explanation:
In order A to be parallel to B, our alternate interior angles must be equal.
This means that
[tex]5x = 3x + 60[/tex]
[tex]2x = 60[/tex]
[tex]x = 30[/tex]
it earned 32000 per month has been One by fourth of his income on food 3y 10 of the remainder on house rent and 5 by 21 of the remainder on the education of children how much money is still life with him
What is 12,634 divided by 6
Answer:
439 :)
Step-by-step explanation:
12,634/6
439
Answer:
2105.66667 or 2105.67 :)
Step-by-step explanation:
hope this helps! have a great day!!
2 + 1.25f = 10 - 2.75f
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
Determine the volume of a square pyramid that has a height of 7 inches and a base with a side
length of 5 inches
Answer:
v=58.33in^3
Step-by-step explanation:
v=a^2h/3=5^2×7/3=58.33333 in^3
(x^10)^2/x4 simplify
Answer:
x^16
Step-by-step explanation:
=> x^20 / x^4
=> x ^ 20-4
=> x^16
Please mark my answer as the brainliest for further answers :)