Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage to the trees.
What is a random sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
Given, The ranger parks at the side of the road and chooses 100 trees near the road to assess for damage hence, trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.
So, Consequently, the results can exaggerate the total amount of tree damage.
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Solve the system of equation.
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
Equation 1: x + 3y = 17
Equation 2: -x + 2y = 8
Add Equation 2 to Equation 1:
x + 3y = 17
+ -x + 2y = 8
5y = 25
Divide both sides by 5:
[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]
[tex]\sf \implies y=5[/tex]
What is the mode of the data set?
78, 82, 91, 78, 92, 77, 80, 74, 81
Answer:
mode=92
Step-by-step explanation:
Solution
no of data=9(odd)
mode= n+1/2
= 9+1/2
=10/2
=5th position
mode= 92
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Charlie is riding his bicycle. He rides 44.8 kilometers in 7 hours. What is his speed in kilometers per hour?
two examples of likely and unlikely events in mathematics probability
Answer:
what's likely is times or Addition less like likely is subtraction or rounding
Select the correct answer. The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where rrepresents the number of roses, /represents the number of lilies, and c represents the number of carnations?
Answer: Roses 2.70 Lillies 2.45 Carnations 1.60
Step-by-step explanation:
I dont know if its wrong its mostly correct but hope it helps
Solve for the value of k.
(k+1)°
42°
Can someone tell me what I did wrong here
Answer:
should have divided it directly ........ maybe or it's just messy........ maybe
Step-by-step explanation:
..........
...........
8x + 16 = 36
8x = 36 - 16
8x = 20
x = 20 / 8
x = 2.5
A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
a). Identify the dependent and independent variable.
b). Make a table of values for the cost of $C of an appointment with the lawyer for time t hours where t= 0,1,2,3,4.
c). What is the relationship between C and t linear?
d). If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give reason with your answer.
e). For every increase of 1 hour for t, what is the change in C?
f). For an appointment with the lawyer, what is the fixed cost and variable cost?
Answer:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, [tex]\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}[/tex], where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.
Determine the period.
Check the picture below.
Answer:
The Answer is 4
Step-by-step explanation:
Right on Acellus
have a great day!
:)
The resistance, R, of a wire varies directly as its length
and inversely as the square of its diameter. If the
resistance of a wire 300 ft long with a diameter of
0.09 inches is 17113 ohms what is the resitance of
900 ft of the ame type of wire with a dister of
0.39 inches
Round off your final answer to the nearest hundredth.
Answer:
2733.73
Step-by-step explanation:
[tex]r = \frac{kl}{ {d}^{2} } [/tex]
[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]
[tex]k = 0.462[/tex]
[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]
[tex]r = 2733.73[/tex]
[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]
[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]
Help help help help math math
Answer:
7
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtractioin
Evaluate: 2² * 3 - 5
2² * 3 - 5 <== exponents first
4 * 3 - 5 <== multiplicaiton second
12 - 5 <== subtraction last
7 <== final answer
Hope this helps!
7
Solution:Let's evaluate this expression.Please notice the hint: "Remember the word PEMDAS".Here's what PEMDAS stands for.P -> ParenthesesE -> ExponentsM -> MultiplicationD -> DivisionA -> AdditionWe do not have parentheses here, but we do have exponents ([tex]2^2[/tex])[tex]2^2[/tex] equals 2×2, or 4.Right now the expression is equivalent to4×3-5According to PEMDAS, the next operation is M, or Multiplication:12-5And finally, subtract:7Hope it helps.
Do comment if you have any query.
Write 8.6 × 10–3 as a basic numeral.
Answer:
[tex]8.6\times 10^{-3}=0.0086[/tex]
Step-by-step explanation:
The perimeter of the rectangle below is 222 units find the length of side RS
Answer:
111
Step-by-step explanation:
divide 222 by 2 and you get your answer
Answer:
55.5
Step-by-step explanation:
since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.
222/4=55.5
what is the difference between greatest common factor and least common multiple?
Answer:
The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.
Write the equation of the line with a slope of 6 and pass-through (-2,-4)
Answer:
y=6x+8
Step-by-step explanation:
y=mx+b
-4=6(-2)+b
-4=-12+b
8=b
simplify 15a+21b-6a-4
Answer:
9a+21b-4
Step-by-step explanation:
first of all combine the like terms
15a + 21b - 6a - 4
= 9a + 21b - 4 Ans.
The simplified expression of 15a+21b-6a-4 is 9a+21b-4
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 15a+21b-6a-4
Fifteen times of a plus twenty one times of b minus six times of a minus four.
a and b are the variables and plus, minus are the operators
Add the like terms in the expression
15a-6a+21b-4
Fifteen times of a and minus six times of a are the like terms.
So add these like terms.
When 15 and -6 are added we get 9
So the expression becomes as Nine times of a plus twenty one times of b minus four.
9a+21b-4
Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4
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PLEASE HELP PLEASE HELPP
Answer:
B
Step-by-step explanation:
Coordinates are (x,y) so just look at the table on how the x-value compares.
Answer:
answer is B
pls give me branlist
In a Right Triangle, if the measurement for the base (B) equals a negative 6 and the hypotenuse equals (C) equals 12, then what is the value of the side (A)?
Which of the following means greater than or equal to?
A. Aleast
B. Maximum
C. Not greater than
D. At most
Answer:
at least
Step-by-step explanation:
i don't know how to fully explain it, but by saying "atleast x" you're saying the minimum value it can be will be x. Maximum means it will not exceed that number, along with "not greater than" and "at most"
6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?
Answer:
5 hoursStep-by-step explanation:
The question isThe tourists walked a distance of 22 km during a day.
The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.
What was the total time they walked.
----------------------
Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance
3*4 + t*5 = 22Solve for t
12 + 5t = 225t = 22 - 125t = 10t = 2The total time was
3 + 2 = 5 hours9. Find the value of x. Round your answer to the nearest tenth.
sin Xº = 4/15
Answer: 15.5 degree
Step-by-step explanation:
This is the same triangle you used for Question 2. Triangle ABC has angle measures as shown below. Using the information in the diagram, and the value of x that you calculated i Question 2, find the measure of Angle C. In your answer, give the measure of Angle C and explain how you calculated it.
Answer:
93
Step-by-step explanation:
So, you know the angles of a triangle added together is 180.
180-52-35=93
You make a shade of green icing using 2 drops of yellow food coloring for every 4 drops of blue. How many drops of blue food coloring would you need if you use 4 drops of yellow food coloring? how many drops of blue food coloring would u need if you use 4 drops of yellow food coloring
Answer:
8 drops of blue
Step-by-step explanation:
You doubled the yellow from 2 drops to four
so double the blue from 4 to 8
if the length of diagonal of a square is 4-√2 cm, find it's length, perimeter and area.
Step-by-step explanation:
1) the length of the side is:
[tex]\frac{4-\sqrt{2} }{\sqrt{2}}=2\sqrt{2}-1.[/tex]
2) the required perimeter is:
[tex]P=4(2\sqrt{2} -1)=8\sqrt{2} -4.[/tex]
3) the required area is:
[tex]A=(2\sqrt{2} -1)^2=9-4\sqrt{2}.[/tex]
Answer:
Side length = (2√2 - 1) units
Perimeter = (8√2 - 4) units
Area = (9 - 4√2) units²
Step-by-step explanation:
Properties of a square:
It is a quadrilateralThe opposite sides are parallelAll four sides are equal in lengthAll interior angles measure 90°The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse, and the sides of the square being the 2 legs.
Let x = side length of the square
Using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ x² + x² = (4 - √2)²
⇒ 2x² = 18 - 8√2
⇒ x² = 9 - 4√2
⇒ x = ±(2√2 - 1)
⇒ x = 2√2 - 1 only (as distance is positive)
Perimeter of a square = 4x
= 4(2√2 - 1)
= 8√2 - 4
Area of a square = x²
= (2√2 - 1)²
= 9 - 4√2
An unknown number x is at most 10. Which graph best represents all the values of x?
Answer:
It is the last one.
Step-by-step explanation:
I know Math :)
HELPPPPPPPPPP!!!!!!!!!!!!!
A. true
B. false
C. false
D. false
hope it helps
have a good day :)
Select the quadratic that has roots x = 8 and x = -5.
A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40
[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]
if 2x2 is 4 then why is 2+2 5????
Answer:
Simple it's not
Step-by-step explanation:
Answer:
wait.... 2x2 is 4 2 + 2 = 4?
Step-by-step explanation:
Draw a box- and- whisker plot that corresponds to the given data set 31, 12, 8, 25, 23, 17, 20, 13
The box-and-whisker plot that displays the five-number summary of the given data is: option B.
How to Draw a Box-and-whisker Plot?A box-and-whisker plot displays the five-number summary of a data, which includes, the min and max values, medain, upper and lwoer quartiles.
To draw a box-and-whisker plot, find the five-number summary of the data, 31, 12, 8, 25, 23, 17, 20, 13:
Minimum: 8First Quartile: 12.5Median: 18.5Third Quartile: 24Maximum: 31Therefore, the box-and-whisker plot that displays the five-number summary of the given data is: option B.
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