Step-by-step explanation:
First we must calculate the interquartile range (IQR), using this equation:
[tex]IQR = Q_{3} - Q_{1}[/tex]
Based on the information provided we fill in:
[tex]IQR = 58 - 45[/tex]
[tex]IQR = 13[/tex]
In order to find what the range for the data set is we need to use the Interquartile Rule:
[tex]Q_{1}-1.5[/tex] × [tex]IQR\\[/tex]
[tex]Q_{3}+1.5[/tex] × [tex]IQR\\[/tex]
[tex]1.5[/tex] × [tex]13 = 19.5[/tex]
Now we plugin in:
[tex]45 - 19.5 = 25.5\\[/tex]
[tex]58 + 19.5 = 77.5[/tex]
Any number below 25.5 is a possible outlier and any number above 77.5 is a possible outlier.
Answer:
Based on the results of the calculations, 25 could be a possible outlier in the data set.
In the figure, shown, AD, CE, and FB intersect at point F. Find the value of x.
Answer:
8
Step-by-step explanation:
∡AB + ∡BC + ∡CD = 180°
∡CD = ∡AE
∡AB + ∡BC + ∡AE = 180°
(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°
8x + 6 + 6x + 2 + 7x + 4 = 180
21x + 12 = 180
21x = 180 - 12
21x = 168
x = 8
The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)
The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
from the cost of $350. Find the markup from cost to sale price.
The markup is $ (Round to the nearest dollar as needed.)
Answer:
7000
Step-by-step explanation:
divide 600 and 30 then multiply that answer by 350
Answer:
Correct answer is 70 trust me
Step-by-step explanation:
Please Help!! Screenshot below!
Answer:
the answer is x+3(the 3rd option)
Step-by-step explanation:
Hope This Helps!!
(brainliest please)
find the value of the expression :
[tex]{x}^{2} + 2xy + {y}^{2} [/tex]
[tex]y = \frac{3 + i }{i} \\ x = 2 + 3i[/tex]
Answer: x² + 2xy + y² = 9
x² + 2xy + y² = (x + y)²
with x = 2 + 3i and y = [tex]\frac{3+i}{i}[/tex], we have:
[tex](x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9[/tex]
Step-by-step explanation:
Can anyone help me with this question?
122 cats
Mrs. Roberts is 3 times as old as her son. The sum of their ages is 48 years.
How old was Mrs. Roberts when her son was born?
Answer:
24
Step-by-step explanation:
To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.
Let's turn the two sentences about their ages into equations:
m=Mrs. Roberts and 3s= three times as old as her son
m=3s
m+s is the sum of their ages
m+s=48
Now substitute the first equation into the second one:
m+s=48
(3s)+s=48
4s=48
s=12
The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:
m=3s
m=3(12)
m=36
Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:
36−12=24
Mrs. Roberts was 24 when her son was born.
credit to CountryGirl on Socratic Q&A
Triangles are similar Find the value of x.
Please help Thank you in advanced
Answer:
x=36
Step-by-step explanation:
14/42=12/x
14x=12(42)
14x=504
x=36
Which whole numbers does the square root of 69 falls in between?
A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
Answer: Y = 21
Step-by-step explanation:
Find the measure of the arc or angle indicated.
Answer: The correct is 114
Step-by-step explanation: Hope this helps
On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what is the measure of the third side of the triangle? (Your answer will be an expression)
Answer:
3x² + 8x + 5
Step-by-step explanation:
Subtract the sum of the 2 given sides from the perimeter, that is
9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)
= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1
= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms
= 9x² + 8x + 5
In the equation 5x - 4 = 71, what is the constant
Answer:
I believe the Constant is 4, because the constant is supposed to be a stand alone number.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
a constant is a number that doesn't change
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
This is my question it is kind of confusing but can you guys help me solve it thanks.
and the question is a screenshot.
Answer:
2.3h - 2.9d - 14
Step-by-step explanation:
6h - 3.7h - 7.9d + 5d - 14
= 2.3h - 2.9d - 14
PLEASE HELP WITH THIS, IMAGE ATTACHED.
Answer:
A≈837.77 since it's only one decimal place A≈837.8
Step-by-step explanation:
Formula: A = πr²
x
-3
-2
-1
0
1
2
3
3
4.95
8.1675 13.476375
f(x) 0.6678... 1.1019... 1.8181...
g(x) 0.125 0.25
0.5
1
2
4
8
0.25
0.5
0.75
1
1.25
1.5
1.75
h(x)
k(x)
64
16
4
0
0.25
0.0625
0.0156
O A. h(x)
B. f(x)
OC. k(x)
D. g(x)
k(×)×95=-0.75 sume k+95=***
g(x) is the function from the table which gives values that could come from the exponential function.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the function from the table which gives values that could come from the exponential function.
The exponential function is a mathematical function denoted by .
As we observe the g(x) function.
When x =1, g(x)=2
x=2, g(x)=4
x=3, g(x)=8
g(x)=2ˣ is the required function which is in exponential form
Hence, g(x) is the function from the table which gives values that could come from the exponential function.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ7
3, 5, 6, 1, 3, 11,7
Mean
Range =
Median =
IQR =
Mode =
Variance =
Midrange=
Standard Deviation
Answer:
range= 10
median= 5
mode= 3
Variance= 11 (rounded) normal answer without rounding 10.809524
Midrange= 6
Write the equation in slope-intercept form.
y−1=45(x+5)
Answer:
y=45x+226
Step-by-step explanation:
hope that's what you're looking for
have a nice day!!!
Answer:
Step-by-step explanation:
Slope intercept form of a line is y=mx+b so we need to solve for y.
y-1=45(x+5) first expand right side
y-1=45x+225 now add 1 to both sides.
y=45x+226
Se lanzan 7 volados consecutivos y en todos ellos ha caído águila. ¿Cuál es la probabilidad de que en el décimo volado también caiga águila? En todos los eventos la probabilidad ha sido ½; por lo cual, en el décimo volado sigue la misma probabilidad 1/2
Respuesta: 0.5
Explicación paso a paso:
El posible resultado es 2:
1.) que cae un águila
2.) que un águila no cae
Cada resultado posible con igual probabilidad:
Probabilidad = resultado requerido / resultados posibles totales
P (cae un águila) = 1/2
P (el águila no cae) = 1 - 1/2 = 1/2
Por lo tanto, la probabilidad de que un águila caiga en la décima mosca es la misma que las probabilidades previas de que un águila caiga o no y es independiente. El hecho de que el águila haya caído en siete moscas consecutivas no aumenta la probabilidad de que el águila haya caído en la décima mosca.
8/9i+12=2/9i+34 (solve for a)
Answer: I=33, O and when you said solve for a I don’t see a, I see i and that all...if you know what I mean
Step-by-step explanation: hope this help
France had 8,306,000 visitors while Australia had 15,976,000 visitors. How many combined visitors did they have?
Answer:
24,282,000 visitors (total)
Step-by-step explanation:
Add these two counts together:
8 306 000
15 976 000
------------------
24 282 000 total number of visitors
Answer:
Add the number of France visitors and Australia visitors and you will get...
Step-by-step explanation:
24,282,000 visitors
Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94
Answer:
18
Step-by-step explanation:
From the above question,
We have the Algebraic expression
(5x - 4)° + 94° = 180°
5x - 4° + 94° = 180°
5x + 90° = 180°
5x = 180° - 90°
5x = 90°
x = 90°/5
x = 18
Answer:
18
Step-by-step explanation:
-10(n+30)=1/2(24-14n)
Find the zeros 7x(x-11)-2(x-11)=0
(x-11)(7x-2)=0
x=11 or x=2/7
Answer:
x = [tex]\frac{2}{7}[/tex], x = 11
Step-by-step explanation:
Given
7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term
(x - 11)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
broooooooo help me wit this plzz man
Answer:
Ok so first one is 4/9x 2nd is (10 11/15) (x) 3rd is 9/20 and the 4th is 3 3/44
Step-by-step explanation:
Hope this helps! i learned this last semester :)
Which of the following is the equation for the graph shown?
Answer:
y
+
0
=
0
⋅
(
x
+
5
)
Step-by-step explanation:
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
X=10
Step-by-step explanation:
3x=30
3(10)=30
30=30
30+42=72
I hope this helps!
Answer:
D. x=10; angle measure is 30°
Step-by-step explanation:
hope this helps
Amanda has $56.10 in her bank account in March. In May she has 4 times as much money in her account than she did in March. In June she adds $75.22 to her account. How much money does Amanda have in her account in June?
Answer:
$299.62
Step-by-step explanation:
Amanda has $56.10 in his bank account in march
In May he has 4 times this money
= 56.10×4
= 224.4
In June she add $75.22 to the money
= 224.4 + 75.22
= 299.62
Hence in June Amanda has $299.62 in her account
The school band has a goal of raising $800 for some new uniforms. If they
have raised $512 so far, what percent of their goal have they raised?
help please (;´༎ຶٹ༎ຶ`)
Answer:
64%
Step-by-step explanation:
512/800=.64
Answer: The exact answer is 62.5 but rounded its 63.