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In terms of the number of moose, what is the relative frequency of male moose, female moose, adult moose, and baby moose? Write your answers as simplified fractions.

Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28

Answers

Answer 1

The relative frequencies for the given table are:

Male → 13/44Female →  17/86Adult → 29/86Baby → 7/43

How 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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Related Questions

please help please please​

Answers

a.0+3

b.3

c.3-4

d.-1

....................

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.

Answers

[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]

Convert the decimal or whole number to a percent. 0.32 1/2

Answers

The decimal would be converted to the least decimal

Find the width of the river in Figure 20.18 to the nearest metre.​

Answers

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

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

Answers

C 2x+20=120
That’s the answer also 50$ per ticket

the cost of a table is 5 times the chair what is the price of chair if the total is 1050​

Answers

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 ♡

Solve the following system of equations.
f(x) = 3x² - 7x-2
g(x) = -2x² +8

Answers

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

A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?​

Answers

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

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%

Answers

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%.

A 7-pack of DVDs costs $31.71. What is the unit price?

Answers

Answer: $4.53

Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53

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

What is the classification for this polynomial?
x²y + 3x³
Click on the correct answer.
monomial
binomial
trinomial

Answers

Answer:

It’s a Binomial

[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]


I need help QUICK!!!

Answers

Answer:

87 in³

Step-by-step explanation:

that is the solution above

Please help
Solve for x

Answers

The value of x is 5. The correct option is the second option-  5

Proportionality theorem

From 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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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

Answers

Answer:

A

Step-by-step explanation:

because

d-15=38

d-15+15=38+15

d=53

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.

Answers

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.

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

Answers

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 answer to this

Answers

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


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?

Answers

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).

What percent of your budget of $4000 would your rent be if you pay $800 in rent?

Answers

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%

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

Answers

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)

What proportion could you use to
find the value of x?

Answers

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 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

Answers

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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Suppose y = 2x + 10. Find y if
x= -6.

Answers

The answer is -2 because 2 * -6 = -12 -12 + 10 = -2

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

Answers

A, 71-32 is equal to 39
C, 85-46 is also equal to 39

HELP!!! please this is my last question for my paper

Answers

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

2x^-3 y^-2
——————
4xy^5

Answers

[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]

Simplify the expression.
Show your work.
4 √81m^8n^16

Answers

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

-7(6 - 3m) = 26 + 4m

Answers

M=4

Distribute -7 into the parenthesis to get -42 + 21m = 26+ 4m. Subtract 4m from both she's to get -42 + 17m = 26. Add 42 to both sides t get 17m = 68. Divide both sides by 17 to get 4= m.

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

What is the median of the data set?

16, 21, 28, 30, 40, 45, 54, 58

A. 58
Β. 35
C. 10
D. 19​

Answers

Answer:

I think 10 is the answer it's not sure.

Find a. (f+ g)(x) b. (f+g)(7).
f(x) = 5x +2, g(x) = 5x – 1
a. (f+g)(x)=

Answers

Answer:
A. 10x + 1
B. 71
(WORK SHOWN BELOW)
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