Answers
Answer:
LQ = 54
Median = 69
UQ = 94
Step-by-step explanation:
This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.
Related Questions
Work out the area of the triangle.
Answers
Answer:
120
Step-by-step explanation:
10*24=240
240/2=120
Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed
Answers
Answer:
Step-by-step explanation: This is the answer
Can someone help me? Will mark brainiest :)
Answers
The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.
Answers
Answer:
Base = 10 ft. and the height = 6.
Step-by-step explanation:
Area of triangle = 1/2bh
base is 4 + h ⇔ base = 4 + h
height = h
Using the formula for the area of triangle substitute into the formula the given facts.
A = 1/2bh
30 = 1/2(4 + h) (h)
30 = 1/2(4h + h²) Multiply both sides by 2
60 = 4h + h²
-60 = -60 Add -60 to both sides
0 = h²+ 4h -60
(h + 10)(h - 6) = 0 Factor
h + 10 = 0 h - 6 =0
h = -10 h = 6
reject any negative number and use the positive answer for h.
So h = 6 and the base = 4 + 6 ; base = 10
9
11 (a) Grapes cost £2 per kilogram.
Calculate the cost of 380g of grapes.
Answers
Answer:
£0.76
Step-by-step explanation:
1kilogram = 1000grams
1000g of grapes costs £2
380g costs = (380 × 2)/ 1000
760/1000 = £0.76
Solve the equation. -10=2y
Answers
Answer:
y=-5
Step-by-step explanation:
-10/2=2y/2
-5=y
y=-5
Answer:
y = - 5
Step-by-step explanation:
You have yo divided the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
Twice a number is 46 less than 4 times the number. Find the number.
Answers
Answer:
23
Step-by-step explanation:
let the number be n then twice the number is 2n and 4 times the number is 4n
Then
2n = 4n - 46 ( subtract 4n from both sides )
- 2n = - 46 ( divide both sides by - 2 )
n = 23
The number is 23
Answer:
34.5
Step-by-step explanation:
23 x 2 = 46 less than 4 times = 11.5
46 - 11.5 = 34.5
Solve using substitution,
y = -3
x + 3y = -6
Please help
Answers
Answer:
x=3
Step-by-step explanation:
x+3(-3)=-6
x-9=-6
+9 +9
x=3
Answer:
x=3 y=-3
Step-by-step explanation:
solve for x then substitute x in the original problem then solve for y
HELPPPP ASAPPPPPPPPPPPP
Answers
Answer:
C
Step-by-step explanation:
PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.
Answers
Answer:
When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.
Step-by-step explanation:
hey yo how is this math
2.5 x 10^3 times what number is equal to 5 x 10^6?
Answers
Answer:
2
Step-by-step explanation:
Answer:
2000.
Step-by-step explanation:
First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000
then divide 5000000/2500 = 2000
As a hurricane approaches, the air temperature changes −7.8°F every hour.
Which value represents the change in air temperature over 1.25 hours?
−9.75°F
−9.05°F
−6.55°F
−6.24°F
Answers
The change in air temperature over 1.25 hours is -9.75°F
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
As a hurricane approaches, the air temperature changes −7.8°F every hour. The amount of change after 1.25 hours is:
Change = −7.8°F every hour * 1.25 hours
Change = -9.75°F
Therefore the change in air temperature over 1.25 hours is -9.75°F
Find out more on linear equation at: https://brainly.com/question/14323743
The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here
Answers
Answer:
a) area will be 1/4 of the original
b) 7 cm²
Step-by-step explanation:
a)Consider the equation for the area of a trapezoid:
A = 1/2(b1 +b2)h
Now, halve each of the dimensions:
A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)
A' = (1/4)(1/2(b1 +b2)h) = 1/4A
The area is multiplied by the square of the scale factor: (1/2)² = 1/4.
__
b)The area of the smaller trapezoid will be ...
A' = 1/4A = (1/4)(28 cm²) = 7 cm²
An angle of 90° measures (___) Pi radians.
An angle of -pi/5 radians measures ____?
°.
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Conversion from degree to radian ~
[tex] \boxed{ \sf{ \frac{\pi}{180} \times \theta }}[/tex][tex] \sf \dfrac{\pi}{180 } \times 90[/tex][tex] \sf \dfrac{\pi}{2} \: \: rad[/tex]Conversion from radians to degree ~
[tex] \boxed{ \sf{ \frac{180}{\pi} \times \theta}}[/tex][tex] \sf \dfrac{180}{\pi} \times - \dfrac{ \pi}{5} [/tex][tex] \sf - 36 \degree[/tex]The required measures of the angles in radians and degree are given as π/2 radians and -36° respectively.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
An angle of 90° measures
in radians,
angle = π/180 × Ф
angle = π/180 × 90 = π/2 radians
Similarly,
An angle of -pi/5 radians
in degrees,
angle = 180 / π × -π/5
angle = -36°
Thus, the required measures of the angles in radians and degree are given as π/2 radians and -36° respectively.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.
Answers
Answer:
3, 5, ,7 or 9, 5, 1
Step-by-step explanation:
Let the three terms in AP be a - d, a & a + d
where a = First term and d = Common difference.
Condition 1: sum of three terms in AP is 15.
a - d + a + a + d = 15
3a = 15
a = 15/3
a = 5
Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:
a - d - 1, a - 1, a + d + 1
These terms are in G.P.
[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Answers
546/1300 x 100 = 42%
What is 50 million + 32 hundred thousands + 41 hundred
Answers
Answer:
82041000
Step-by-step explanation:
50,000,000 + 32,000,000 + 41,000
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answers
Answer:
217 Seconds.
Step-by-step explanation:
The answer is 217 seconds because 60x3+37=217.
Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.
please help! its my exam study guide and i need to finish it!
Answers
[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]
[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]
Solve 2x2 – 6x + 10 = 0 by completing the square.
A)
x = 3∕2 + i , x = 3∕2 – i
B)
x = 3 + i, x = 3 – i
C)
x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i
D)
x = 3 + i, x = 3 – i
Answers
Answer:
The answer is C.)
Step-by-step explanation:
I hope its help Please let me know.
Three (3) is a common factor of 21 and 22.
O A. True
B. False
SUBMIT
Answers
Answer:
false.
Step-by-step explanation:
Factors for 21: 1, 3, 7, and 21. Factors for 22: 1, 2, 11, and 22.
Answer:
B false
hello hope this helps
Write -37.75 as a mixed number.
Answers
Answer:
[tex]-37\frac{3}{4}[/tex]
Step-by-step explanation:
0.75 is equivalent to three quarters, or (3/4).
3/4 would be the fraction. -37 would be the whole number.
[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]
Hope this helps.
Answer:
- 37 3/4
Step-by-step explanation:
I NEED HELP WITH THESE
I am pretty sure of my answers, so I just need someone to double check. Explanation is not needed because I know how to solve it, just needs to be checked. You can put one it you want.
Answers
Answer:
(b) 500 km (b) 6 secondsStep-by-step explanation:
1.The semi-major axis length is √47196900 = 6870 km. That distance from the center of the Earth means the satellite is ...
6780 -6370 = 500 . . . km
from the surface of the Earth.
The satellite is a maximum of 500 km from the Earth.
(It is a minimum of 250 km from Earth.)
__
2.The equation has a zero at t=6. When the car's velocity is zero, it is at a complete stop.
The car comes to a complete stop when time is 6 seconds.
(The car is still being accelerated, so it doesn't stay stopped.)
__
I prefer a graphing calculator for a quick solution. You can also solve this equation algebraically.
0 = 0.5t^2 -10.5t +45 . . . . t when v(t) = 0
t^2 -21t +90 = 0 . . . . . . . multiply by 2
(t -6)(t -15) = 0 . . . . . . . . factor
t = 6 or t = 15 . . . . . . . only t=6 is in the domain of the function
someone please please please answer!!!
Answers
Answer:
7.07 or "5 × square root of 3"
Step-by-step explanation:
in an isosceles triangle, the longest side is equal to "x × square root of 3" while the other two sides equal x. hope this helps
Convert 70°F to Celsius using the following formula: °C = 5/9 (°F-32).
Round your ANSWER to the nearest degree.
Select one:
a. 126°C
b. 21°C
c. 158°C
d. 53°C
Answers
Answer:
21
Step-by-step explanation:
(use you calculator)
method of bidmas should be used
5/9 (70-32) substitute the F with 70
5/9 (38) calculate the brackets first
0.555 (38) next, calculate 5/9
0.555×38=21.09 or 21.1111... finally, multiply
hope this helps
38x5=190
190:9=21.1111111
The answer is approximately 21 degree celcius
You can choose the answer B
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
Answers
Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
Which is the equation of a circle with a radius of 6 and a center of (3,-1)?
(x - 3)2 + (y+1)2 = 36
(x+3)2 + (y - 1)2 = 36
(x+3)2 + (y - 1)2 = 6
(x-3)2 + (y+ 1)2 = 6
Answers
Answer:
358
Step-by-step explanation:
576
#6) Find the value of x. Be sure to show your work.
Answers
My work below in the picture
(3x(3)+9X(2)+27X)/3X
Answers
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
LAST ATTEMPT !! MARKING AS BRAINIEST!!