The median number of diseased trees from a data set representing the numbers of diseased trees on each of the 12 city blocks is 7.
What is the median?The median is the middle value in a data set, when arranged in ascending or descending order.
The median can be found for an even number of items by adding the two middle values and dividing the result by 2.
The median is one of the measures of central tendencies.
The number of diseased trees from each of the 12 city blocks:
11, 3, 3,4, 6, 12, 9, 3, 8, 8, 8, 1
Arranged in ascending order:
1, 3, 3, 3, 4, 6, 8, 8, 8, 9, 11, 12
The two median values are 6 and 8
The sum of 6 and 8 = 14
14 ÷ 2 = 7
Thus, the median is 7.
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Question Completion:11, 3, 3,4, 6, 12, 9, 3, 8, 8, 8, 1
Using properties of logarithms in excersises 13-18, use the properties of logarithms o write the logarithm in terms of log3(5) and log3(7) log3 (21/5)
Answer:
[tex]log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1[/tex]
Step-by-step explanation:
Given
[tex]log_3(\frac{21}{5})[/tex]
Required
Express in terms of [tex]log_3(5)[/tex] and [tex]log_3(7)[/tex]
[tex]log_3(\frac{21}{5})[/tex]
Express 21 as 7 * 3
[tex]log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})[/tex]
Apply law of logarithm
[tex]log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)[/tex]
[tex]log_3(3) = 1[/tex]. So, we have:
[tex]log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)[/tex]
Rewrite:
[tex]log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1[/tex]
What is the area of the triangle?
6 square inches
18 square inches
12 square inches
30 square inches
Answer:
answer is 6.
Step-by-step explanation:
the base as 4 in. times the height as 3in. divided by 2= 6in.
You have a friendship club. There are 12 members in your club. On the twelfth day of each month, you have a friendship call. Each member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations are made on that day?
Answer: There are a total of 66 conversations.
Step-by-step explanation:
Ok, we have 12 members.
let's call them:
member 1, member 2, member 3, etc...
Let's assume that member 1 starts talking to the others, then he talks to:
member 2, member 3, member 4, etc.
So member 1 talks to the other 11 members.
We have already 11 conversations.
Now let's count the conversations of member 2.
He talks to member 1, member 3, etc.
But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.
now for member 3. He talks with member 1, member 2, member 4, member 5, etc...
But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.
We already can see the pattern here.
For each new member that we count, the number of conversations is one less than for the previous member.
The total number of conversations will be:
11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66
what's [2+(2x3)]x5.
James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?
Answer:
838 ÷ 17 = 49.29 feet each
Step-by-step explanation:
divide the total rope by number of hikers equals amount of rope each hiker will receive.
Last season, Patrick Mahomes threw for 4,800 yards in 16 games. This season, he had a 15% increase in the number of yards he threw per game.
How many yards did he throw per game after the increase?
Answer:
345 yards.
Step-by-step explanation:
4800/16 = 300
300 increase 15% =
300 × (1 + 15%) = 300 × (1 + 0.15) = 345
Enumere Cuatro Fuentes de Corriente continua
Answer:
La corriente continua es producida por fuentes como baterías, termopares, celdas solares y máquinas eléctricas de tipo conmutador de tipo dínamo. La corriente continua puede fluir en un conductor como un cable, pero también puede fluir a través de semiconductores, aislantes o incluso a través de un vacío como en los haces de electrones o iones. espero que esto te ayude
The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x = [tex]\frac{15}{17}[/tex] . Find the value of cos y.
Step-by-step explanation:
[tex] \sin(x) = \frac{15}{17} = \frac{23 + c}{34} \\ 34 \times 15 = 17(23 + c) \\ 510 = 391 + 17c \\ 17c = 119 \\ c = 7[/tex]
[tex] \sin (y) = \frac{7}{25} \\ y = 16.26 \\ \cos(16.26) = \frac{ \alpha }{25} \\ 0.96 = \frac{ \alpha }{25} \\ \alpha = 24 [/tex]
[tex] \cos(y) = \frac{24}{25} [/tex]
I need help with a/d
Answer:
yeah whats the question asking >:(
Solve the equation.
5x = 3x²+1
5+ 13
a
5-√13
c.
-5+ √13
5- V13
X=
or
or
12
12
6
6
b.
-5+ √13
5-√3
d.
S+~13
5- 13
Of
12
or
12
6
6
Given the following parallelogram: Solve for x.
7x + 70
16x - 20
Answer:
x=10
Step-by-step explanation:
7x+70=16x-20
70=9x-20
9x=90
x=10
Given the function below, what is the g(-8)?
g(x)=2x+1
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
1.5 or 1 1/2 pounds of candy
Step-by-step explanation:
First, divide 2 into 4 equal pieces. You do this because of the denominator in 3/4.
2 divided by 4= 0.5
Then 0.5 times 3 because of the numerator in 3/4.
0.5 times 3= 1.5
You can convert this into the fraction 1 1/2 or you can leave it a 1.5
Hope this helps!
Each letter in the word "TEXTBOOK" is written on an identical tile and placed in a bag. What is the probability of
drawing a vowel on the first try?
Answer:
37.5% or 3/8
Step-by-step explanation:
There are 8 total letters, and only 3 vowels, which can be the fraction 3/8. 3/8 as a percent is 37.5%. Hope this helps!
Answer:
Capital letters and Rotations marks
A rectangular lettuce patch, 560 square feet in area, is to be fenced off against rabbits. Find the least amount of fencing required if one side of the land is already protected by a barn. What are the dimensions?
The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft
Let x represent the length of the fence and y represent the width of the fence.
Since the area is 560 square feet, hence:
Area = length * width
560 = xy
y = 560/x
One side of the land is already protected by a barn, hence:
Perimeter (P) = x + x + y = 2x + y
P = 2x + y
P = 2x + 560/x
For least amount of fencing, dP/dx = 0, hence:
dP/dx = 2 - 560/x²
0 = 2 - 560/x²
560/x² = 2
2x² = 560
x = 16.7
y = 560/16.7 = 33.5 ft
The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft
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In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.=
Answer: 415.2
Step-by-step explanation:
17.
Is the relation a function? Why or why not?
{(–8, –4), (–2, 0), (1, 3), (–2, 6)}
A. Yes; only one range value exists for each domain value.
B. No; the relation passes the vertical line test.
C. No; two range values exist for domain value –2.
D. Yes; two range values exist for domain value –2.
Answer:
C. No; two range values exist for domain value –2.
Step-by-step explanation:
The relation is not a function.
The -2 in the domain repeats
Since
x
=
−
2
produces
y
=
0
and
y
=
6
, the relation
(
−
8
,
−
4
)
,
(
−
2
,
0
)
,
(
1
,
3
)
,
(
−
2
,
6
)
is not a function.
The relation is not a function.
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.
Answer:
76
2 real solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/ImaginaryStep-by-step explanation:
Step 1: Define
x² - 6x - 10 = 0
Step 2: Identify Variables
Compare quadratic.
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
Step 3: Find Discriminant
Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents: 36 - 4(1)(-10)[Discriminant] Multiply: 36 + 40[Discriminant] Add: 76This tells us that our quadratic has 2 real solutions.
Sari wrote the equivalent ratios below to convert cups to fluid ounces. How many fluid oz. Are in 9 cups.
Answer:
the number of fluids ounces in 9 cups is 72 fluid ounces
Step-by-step explanation:
The computation of the number of fluids ounces in 9 cups is shown below:
As we know that
In 1 cup = 8 fluid ounces
So for 9 cup it is
= 9 × 8
= 72 fluid ounces
hence, the number of fluids ounces in 9 cups is 72 fluid ounces
The width A rectangle is 3 cm less then its length. The perimeter of the rectangle is 30 CM. Find The length and width of the rectangle
w = l - 3
w = 9 - 3
w = 6
//
l = 9
w = 6
//
p = 2(9) + 2(6)
p = 30
Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5
Answer:
3(x - 2)² - 17
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square.
Given
3x² - 12x - 5 ← factor out 3 from the first 2 terms
= 3(x² - 4x) - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 4x
= 3(x² + 2(- 2)x + 4 - 4 ) - 5
= 3(x - 2)² - 12 - 5
= 3(x - 2)² - 17 ← in vertex form
Which of the following correctly describes the product below?
A.
irrational
B.
rational
C.
a combination of both rational and irrational
D.
neither rational nor irrational
Answer:
C is the answer your looking for
What is the value of 6(2b-4) when b=5?
Answer:
126
Step-by-step explanation:
Step-by-step explanation:
When b = 5 Then
6( 2b - 4)
= 6 ( 2 *5 - 4)
= 6 ( 10 - 4)
= 6 * 6
= 36
Hope it will help :)
Which of the following are properties of the circumcenter of a triangle? Check
all that apply.
A. The circumcenter is at the intersection of the perpendicular
bisectors of the triangle's sides.
B. The circumcenter of an obtuse triangle is always outside it.
M C. The circumcenter is equidistant from each vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Answer: A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
C. The circumcenter is equidistant fromeach vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Step-by-step explanation:
The properties of the circumcenter of a triangle from the options given include:
• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
• The circumcenter is equidistant fromeach vertex of the triangle.
• The circumcenter is equidistant from each side of the triangle.
Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.
Mr. Alvarez makes a walkway of 3 cement slabs.He uses 14 cubic feet of cement to make the walkway.Each square slab has a volume of 4 cubic feet
Answer:
I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.
The walkway has 3 cement slabs,
He uses a total amount of 14 cubic feet to make the complete walkway.
This means that the 3 cement slabs together have a total volume of 14 ft^3
To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:
Volume of each slab = (14 ft^3)/3 = 4 ft^3
This means that each cement slab has a volume of 4 ft^3.
Answer:
6 ft^3
Step-by-step explanation:
[tex]4x\leq 12[/tex]
Divide each term by
4
and simplify.
Inequality Form:
r ≤ 3
Interval Notation:
( − ∞ , 3 ]
These two figures are the image and pre-image of a
dilation.
Find the value of x.
4 m
6 m
4 m
6 m
8 m
9 m
6 m
Answer:
4m i think it sounds about right
Answer: the answer is 9m or D
Step-by-step explanation:
help please
4 − ( −12) + ( −7) =
............................................9
someone solve please
The slope is 2.92, which shows a positive relationship because it is a positive number. The
longer a person’s hair, the more it will cost to get the hair highlighted. This makes sense, as
more product is required to highlight more hair.