The relative frequencies for the given table are:
Male → 13/44Female → 17/86Adult → 29/86Baby → 7/43How to get the relative frequencies?
The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.
Here we can see that the total number of moose is:
52 + 34 + 58 + 28 = 172
There are 52 male moose, then the relative frequency for male moose is:
M = 52/172 = 26/86 = 13/44
There are 34 female moose, then the relative frequency is:
F = 34/172 = 17/86
There are 58 adult moose, so the relative frequency is:
A = 58/172 = 29/86
There are 28 baby moose, so the relative frequency is:
B = 28/172 = 14/86 = 7/43
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A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?
Answer:
6.8 miles
Step-by-step explanation:
We can apply the formula :
⇒ Mean distance per diver = Total distance covered / No. of divers
=============================================================
Given :
⇒ Number of divers = 28
⇒ Total distance travelled = 190.4 miles
===========================================================
Solving :
⇒ Mean distance = 190.4 miles / 28
⇒ Mean distance = 6.8 miles
2x^-3 y^-2
——————
4xy^5
[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]
Part 1: Bob got tickets for himself and his son to go to a Saints game. Parking at the Dome is $20. If Bob spent $120 on tickets and parking, how much was each ticket? Choose the correct equation.
20x+2=120
2x + 120 = 20
2x+20=120
50 POINTS A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
about 70%
about 80%
about 95%
about 67%
The first step that we need to take before attempting to solve the problem is to understand what the problem is asking us to do and what they are giving us to help solve the problem. Looking at the problem statement they are asking for us to determine the probability that a point will randomly be plotted in the shaded region. We are not given much of anything else which means that we will need to use our own numbers.
The picture that was provided has a square with four equal circles inside right next to each other. Therefore, we can say that each side of the square is going to be 2 units which causes the diameter of the circle to be half that or 1 unit. We can go even further and determine that the radius is going to be 0.5 units for each circle. Let's determine the area of all the shapes.
Area of the square
[tex]A_{square} = s^2[/tex][tex]A_{square} = (2\ units)^2[/tex][tex]A_{square} = (2)^2 * (units)^2[/tex][tex]A_{square} = 4\ units^2[/tex]Area of a circle
[tex]A_{circle} = \pi * r^2[/tex][tex]A_{circle} = \pi * (0.5\ units)^2[/tex][tex]A_{circle} = \pi * (0.5)^2 * (units)^2[/tex][tex]A_{circle} = \pi * (0.25\ units)^2[/tex][tex]A_{circle} = 0.7854\ units^2[/tex]The area that we got from the circle only gives us the area for one of the circles so we need to multiply the number by four to give us the total area of the circles.
Total area of the circles
[tex]A_{circles} = 0.7854\ units^2 * 4[/tex][tex]A_{circles} = 3.1416\ units^2[/tex]Now that we determined the area of both the square and the circles we can move onto the part of finding the probability of a point randomly landing on a circle.
Determine the probability
[tex]\textsf{probability = circles / square}[/tex][tex]\textsf{probability = } \frac{3.1416\ units^2}{4\ units^2}[/tex][tex]\textsf{probability = } \frac{3.1416}{4}[/tex][tex]\textsf{probability = } 0.785[/tex]However, now that we have determined what the probability, looking at the answer options we can see that all of the are in percentages. So let's convert our probability into a percentage.
Convert to percentage
[tex]\textsf{probability = } 0.785 * 100[/tex][tex]\textsf{probability = } 78.5\%[/tex]Therefore, looking at the options given, the option that would best fit this choice would be option B, about 80%.
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation
The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
How to find the Mean Absolute Deviation?From the given table, we see that;
Mean grade of Sidney = 82
Mean grade of Phil = 78.
Mean absolute deviation of Sidney = 3.28
Mean absolute deviation of Phil = 3.96.
The difference between the two means of Sidney and Phil = 82 - 78 = 4.
Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
Complete Question is;
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
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A 7-pack of DVDs costs $31.71. What is the unit price?
The unit price of each is $4,53
Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.
$31,75 ÷ 7 = $4,53
Therefore, the unit value of each DVD is $4,53
Solve the following system of equations.
f(x) = 3x² - 7x-2
g(x) = -2x² +8
Answer:
f(x) = 3x²-7x-2
answer: (7+- √73)/6
g(x) = -2x² +8
answer:
x = +-2
Step-by-step explanation:
picture is attached
quadratic formula
click on the screenshot
What is the classification for this polynomial?
x²y + 3x³
Click on the correct answer.
monomial
binomial
trinomial
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Trinomial
[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]
We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.
In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).
[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]
What percent of your budget of $4000 would your rent be if you pay $800 in rent?
Answer:
20%
Step-by-step explanation:
Take the amount of rent and put it over the total amount of money to find the percent
800/4000 =.2
Change to percent form by multiplying by 100
.2 * 100 = 20%
x
Benchmark Assessment - 29/34
Choose two number sentences below that equal 39:
A) 71-32
B) 49 - 20
C) 85-46
D) 50 - 29
at tree is 24 feet tall and casts a shadow of 10 feet. at the same time, a tower casts a shadow of 25 feet. what's the height, in feet, of the tower?
a.45 feet
b.60 feet
c. 75 feet
d. 90 feet
Using similarity principle, the height of the tower in feet is 60 feet.
How to calculate the height of the tower?The height of the tower can be calculated using similarity principle.
Using similarity principle the corresponding sides are a ratio of each other.
Therefore,
let
x = height of tower
24 / x = 10 / 25
cross multiply
10x = 24 × 25
10x = 600
divide both sides by 10
x = 600 / 10
x = 60
Therefore, the height of the tower is 60 feet.
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What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answer:
I think 10 is the answer it's not sure.
What proportion could you use to
find the value of x?
Answer:
short leg : long leg
x : 11 = 3 : x
Step-by-step explanation:
short leg : long leg
x : 11 = 3 : x
[tex]\implies \sf \dfrac{x}{11}=\dfrac{3}{x}[/tex]
[tex]\implies \sf x^2=33[/tex]
[tex]\implies \sf x=\sqrt{33}[/tex]
Answer:
3/x=x/11
Step-by-step explanation:
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth.
Answer:
V = 150.72 cm³.
Step-by-step explanation:
First, get the volume of a cylinder.
V = πr²h
Where:
π = 3.14 (given)
r = radius (half of diameter, or 2)
h = height (12)
Knowing this, substitute the known values.
V = πr²h
V = (3.14)(2²)(12)
Square 2.
V = (3.14)(4)(12)
Multiply 3.14 and 4.
V = (12.56)(12)
Multiply 12.56 and 12.
V = 150.72.
Since it is already rounded to the nearest hundredth, that is your answer.
Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution.
OA. d-15=38; d = 53
OB. d-15=38; d = 23
C. d+15=38;d=23
OD. d+15=38; d = 53
Answer:
A
Step-by-step explanation:
because
d-15=38
d-15+15=38+15
d=53
Simplify the expression.
Show your work.
4 √81m^8n^16
Answer:
hope you can understand
Answer:
3m²n⁴
Step-by-step explanation:
Given :
⇒ [tex]\sqrt[4]{81m^{8}n^{16} }[/tex]
=============================================================
Solving :
⇒ [tex]\sqrt[4]{81}[/tex] × [tex]\sqrt[4]{m^{8} }[/tex] × [tex]\sqrt[4]{n^{16} }[/tex]
⇒ [tex]\sqrt[4]{3^{4} }[/tex] × [tex]\sqrt[4]{(m^{2})^{4} }[/tex] × [tex]\sqrt[4]{(n^{4})^{4} }[/tex]
⇒ 3 × m² × n⁴
⇒ 3m²n⁴
Segment AB with endpoints at A(6, 5) and B(6, 15) is partitioned by point P according to the ratio of 3:2. Find the coordinate of point P.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]
[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]
Find the width of the river in Figure 20.18 to the nearest metre.
Answer:
~ 6 m
Step-by-step explanation:
For a right triangle
tan = opposite leg / adjacent leg
= height / width of river
tan 15 = 1.6 / width
width = 1.6 / tan 15 = 5.97 m
Match each rational expression to its simplest form.
2m2-4m
2(m2)
m2-2m+1
m-1
m-
m
m-1
EE
m
m²-3m +2
m2.
m
m
m
Reset
m²-m-2
m²-1
Next
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(m² - 2m + 1) / (m - 1)
(m² - 2m + 1) / (m - 1)
= (m - 1) / 1
= m - 1
The first rational expression simplifies to (m - 1).
(m² - 3m + 2) / (m² - m)
(m² - 3m + 2)
= (m - 1)(m - 2)
(m² - m)
= m(m - 1)
So,
(m² - 3m + 2) / (m² - m)
= (m - 2) / m
The second rational expression simplifies to (m - 2) / m.
(m² - m - 2) / (m² - 1)
(m² - m - 2)
= (m - 2)(m + 1)
(m² - 1)
= (m - 1)(m + 1)
So,
(m² - m - 2) / (m² - 1)
= (m - 2) / (m - 1)
The third rational expression simplifies to (m - 2) / (m - 1).
Thus,
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
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The complete question.
Match each rational expression to its simplest form.
(m² - 2m + 1) / (m - 1)
(m² - 3m + 2) / (m² - m)
(m² - m - 2) / (m² - 1)
Options:
(m - 2) / m
(m - 1)
(m - 2) / (m - 1)
I need help QUICK!!!
Answer:
87 in³
Step-by-step explanation:
that is the solution above
HELP!!! please this is my last question for my paper
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
Find a. (f+ g)(x) b. (f+g)(7).
f(x) = 5x +2, g(x) = 5x – 1
a. (f+g)(x)=
A person bought three lots for $22,000 net each and divided them into four lots of equal frontage. The lots were
then sold for $18,000 each. What was the approximate percentage of gross profit?
Answer:
A person bought three lots for $22,000 net each and divided them into four lots of equal frontage. The lots were then sold for $18,000 each. What was the approximate percentage of gross profit? 9%The initial investment was $66,000 (3 lots at $22,000 each).
Convert the decimal or whole number to a percent. 0.32 1/2
what is the answer to this
Step-by-step explanation:
[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it will be helpful
Answer:
86
Step-by-step explanation:
Evaluate the expression:Plugin the value of m, in the expression
m² + 5 = 9² + 5
= 81 + 5
= 86
please help please please
a.0+3
b.3
c.3-4
d.-1
....................
Suppose y = 2x + 10. Find y if
x= -6.
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡Please help
Solve for x
The value of x is 5. The correct option is the second option- 5
Proportionality theoremFrom the question, we are to determine the value of x
By the proportionality theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Considering the diagram, we can write that
[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]
Then, we get
12 × 35 = 28(35-4x)
420 = 980 -112x
112x = 980 - 420
112x = 560
x = 560/ 112
x = 5
Hence, the value of x is 5. The correct option is the second option- 5
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-7(6 - 3m) = 26 + 4m
Answer:
4
Step-by-step explanation:
do distributive property first. -7 * 6 and -7 * 3
now you should have -42+21m = 26 + 4m
subtract 4m to the other side 21m-4m=17m
then add 42 to the other side which would give you 68
17m=68
17 divided by 17 =1
68 divided by 17=4