Mathematics College

A team of biologists captured and tagged 55 deer in a forest. Two weeks later, the biologists captured a sample of 40 deer from the same forest and found that 8 of them were tagged. Which proportion would you use to find the total number if deer?d/55 = 40/1001/2 = 8/dd/40 = 8/5555/d = 8/40

Answers

Answer 1

Let there are d number of deers in the forest when biologist capture 55 deers.

So the ratio of deer that are tagged is,

$r=\frac{55}{d}$

After two week, the number of deer for the sample are 40 and out of which tagged are 8.

So the ratio for the tagged deer is,

$r=\frac{8}{40}$

Sine the ratio of tagged deer is same for both cases.

So proportion for the total number of deers is,

$\frac{55}{d}=\frac{8}{40}$

Related Questions

The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation of g(x)?
O g(x)= 3x-6
Og(x)=3x+6
Og(x)=3*-6
Og(x)=3* +6

Answers

The equation of the graph g(x) is $3^{x-6}$

What is a graph ?

A diagram that shows how a variable's variation compares to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas. all points whose coordinates satisfy a specific relation;

In mathematics, the word "graph" has (at least) two distinct meanings. A function graph or "graph of a function," also known as a plot, is referred to as a "graph" in elementary mathematics. A graph is a set of points and the connections between some subset of those points and their lines, which may or may not be empty.

The translation of the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

If the graph of the function f(x) = 3^x is translated 6 units to the right , then the function becomes

g(x) = f(x - 6)

= $3^{x-6}$

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The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone can meet the full power requirement of the vessel. The engine of each set has a malfunction probability of 25% and the generator of 10%. In case one set breaks down there is a 50% probability of it being repaired but it will run again only if repaired and its subsystems do not further malfunction upon startup. Calculate the probability of an electric power outage shipboard.

Answers

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

Probability of generator malfunction = 10% = 0.1

Probability of generator being repaired = 50% = 0.5

probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

probability of an electric power outage = 2$_c_1$ × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )

so we substitute in our given values;

probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )

probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75

probability of an electric power outage = 0.075 or 7.5 %

1 is subtracted from 8 times a certain number.the result is 15.find the number

Answers

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Pls answer!! reward is a lot of points. Question is "7/4 - (- 1/6)"

Answers

Answer:1 11/12

Step-by-step explanation:

Pls answer!! reward is a lot of points. Question is "7/4 - (- 1/6)"

Luis plays basketball for WVC. For the free throws, he makes the
shot 75% of the time. He must now attempt two free throws. Probability that Luis makes the first
shot is 0.75. The probability Luis makes the second shot is 0.75. The probability Luis makes the
second free throw given that he made the first is 0.85. Calculate the probability that Luis makes
both free throws.
Please write your answer as a decimal. Round your answer to the third decimal place.

Answers

Let's use the conditional probability formula to calculate the probability that Luis makes both free throws:

P(both free throws) = P(makes first) * P(makes second | makes first)

We are given that:

P(makes first) = 0.75

P(makes second | makes first) = 0.85

So we can substitute these values in the formula:

P(both free throws) = 0.75 * 0.85

P(both free throws) = 0.6375

Therefore, the probability that Luis makes both free throws is 0.6375, or 0.638 rounded to the nearest thousandth.

the answer is 0.638 .

If Derek's friend Sarah reads the same 225 word article and it
takes her 10 minutes to read it, who reads faster and how do you
know?

helppp pls

Answers

After cοmparing the twο rates, we see that Derek reads faster than Sarah since his reading rate is 37.5 wοrds per minute, which is greater than Sarah's reading rate οf 22.5 wοrds per minute.

Tο determine whο reads faster, we need tο cοmpare the reading rates οf Derek and Sarah.

Derek's reading rate in wοrds per minute can be calculated by dividing the number οf wοrds he read by the time he tοοk tο read them:

Derek's reading rate = 225 wοrds / 6 minutes = 37.5 wοrds per minute

Similarly, Sarah's reading rate can be calculated by dividing the same number οf wοrds by the time she tοοk tο read them:

Sarah's reading rate = 225 wοrds / 10 minutes = 22.5 wοrds per minute

Sο, after cοmparing the twο rates, we see that Derek reads faster than Sarah since his reading rate is 37.5 wοrds per minute, which is greater than Sarah's reading rate οf 22.5 wοrds per minute.

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Find the area of the polygon

Answers

Answer:

Area of a regular polygon formulas

Step-by-step explanation:

area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides)

area = perimeter * ri / 2 , given ri and polygon perimeter.

area = n * (ri)² * tan(π/n) , given ri.

The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:

(a) Write an equation to show the perimeter of the rectangle ?

(b) calculate:
I.width

II.length

III. the area of the rectangle

Answers

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

Writing an equation to show the perimeter of the rectangle

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

Calculating the dimensions and the area

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

Answers

Answer:

272

Step-by-step explanation:

because 16 times 17 equals 272

Answer: each plant gets 0.47059 cups of water.

Step-by-step explanation:Now, she waters 17 plants and each plant gets the same amount of water. Let us suppose that each plant gets x cups of water.Divide both sides by 17, we get

12. A factory needs to package 2,835 cartons
of orange juice in boxes. How many
more small boxes than large boxes are
needed to package the cartons of orange
juice?

Box Size
Small 15 number of cartons
Large. 35 number of cartons

Answers

The total number of cartons needed more to pack small 15 cartons than 35 large cartons is108 cartons.

What is the number of cartons needed?

Division is defined as one of the four basic operations of arithmetic in mathematics.

The parameters for this question are:

Total number of cartons =2835

Number of small cartons needed = 15 cartons

Number of large cartons needed = 35 cartons

To package the orange juice in large cartons we need $\frac{2835}{35} =81 cartons$

Also, to package 15 small cartons we need $\frac{2835}{15} =189 cartons$

Number of more small cartons than large cartons is

Small cartons -large cartons

=189-81=108 more cartons.

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It takes an older pump 4 times as long to drain a certain pool as it does a newer pump. Working together, it takes the two pumps 3 hours to drain the pool. How
long will it take the newer pump to drain the pool working alone?
Do not do any rounding.

Answers

Answer:

New pump = 3.75 hours

Old pump = 15 hours

Step-by-step explanation:

Let :

Time taken by newer pump = x hrs

Time taken by older pump = 4x hrs

Time taken when working together = 3 hours

Drain rate :

Newer pump = 1/x

Older pump = 1/4x

Combined = 1/3

Hence :

Newer pump rate + older pump rate = combined rate

1/x + 1/4x = 1/3

Take the lcm

(4 + 1) / 4x = 1/3

Cross multiply

5 * 3 = 4x

15 = 4x

x = 15/4

x = 3.75

The old pump will take :

4x = 4 * 3.75 = 15 hours

H
G
If mZIOJ = 27and mZHOJ = 51°, then what is the measure of ZHOI?
78°
29°
b. 24°
d. 22°
c.
a.

Answers

Answer:

B) 24°

Step-by-step explanation:

51-27=24

3/4 ÷ 6 and 2/3.....

Answers

Answer:

9/80

Explanations:

The expression is:

3/4 ÷ 6 and 2/3

Note that:

6 and 2/3 can be written as

$6\frac{2}{3}$$\begin{gathered} \text{Convert 6}\frac{2}{3}\text{ to improper fraction} \\ 6\frac{2}{3}=\text{ }\frac{20}{3} \end{gathered}$

The expression becomes 3/4 ÷ 20/3

$\begin{gathered} \frac{3}{4}\times\frac{3}{20}=\frac{9}{80} \\ \end{gathered}$

Which statement about function g is true?
g(x)
10
x
1
2 40
3 160
4 640

Answers

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

What is a slope?

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

How to calculate the slope of a line?

Mathematically, the slope of a straight line can be calculated by using this formula;

$Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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find the missing side. round to the nearest tenth

Answers

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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The width of a rectangle is 8 ft. If the area of the rectangle is 312 ft2, what is the length of the rectangle?
ft

Answers

Answer: 39 ft. To solve: divide 312 by 8 and that’ll give you the length. The area of a rectangle is length * width.

Answer:

39ft

Step-by-step explanation:

$A=wl\\312=8l\\\frac{312}{8} = l\\l=39$

Hope this helped! Have a good day.

Drag the tiles to the boxes to form correct pairs.
Multiply the pairs of numbers, and match them with their products.

Answers

The expressions matched with their correct pairs is

(-8)(-2.2) → 17.6

(-3.4)(5) → -17

(-9.5)(-2) → 19

(3.8)(-5) → -19

From the question, we are to match the tiles to the boxes to form correct pairs

To do this, we will simplify the expressions

(-8)(-2.2)

Multiplying

-8 × -2.2

= 17.6

(-3.4)(5)

Multiplying

-3.4 × 5

= -17

(-9.5)(-2)

Multiplying

-9.5 × -2

= 19

(3.8)(-5)

Multiplying

3.8 × -5

= -19

Hence, the expressions matched with their correct pairs is

(-8)(-2.2) → 17.6

(-3.4)(5) → -17

(-9.5)(-2) → 19

(3.8)(-5) → -19

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ACTIVITY 1 Directions: Interpret these circle graphs

A. The pie graph below shows what a normal human body is made of.

Questions:

1. As shown in the graph,what composes the human body?

2. Which makes up the greatest part of the human body? the least?

Answers

Step-by-step explanation:

1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)

2) muscle makes up the greatest part and the minerals makes up the least.

hope it heals u.

make me brain list Pls.

What sum would have to be invested today at 9% compounded annually to provide an ordinary annuity of P8,000 per year for 5 years?

Answers

given the following?

A = 8000

r = 9% = 0.09

t = 5

P = ?

using the formular

A = P(1 + r)^t

8000 = P(1 + 0.09)^5

8000 = P(1.09)^5

8000 = 1.5386P

divide both sides by 1.5386

1.5386P/1.5386 = 8000/1.5386

P = 5,200

Sara pays 5100 for tuition and fees for each of the two semesters plus an additional 260 for textbooks each semester what is the prorated monthly cost for tuition and fees and textbooks is

Answers

It is 10720! 5100•2+260•2=10200+520=10720

Sara pays 5100 for tuition and fees for each of the two semesters plus an additional 260 for textbooks

please help asap math question

Answers

Just add and remove 2.2 from 88.3
86.1 and 90.5 should be the answer

Anne bought a piece of ribbon that is 7 over 9 m long. She used 3 over 18 m of it to tie a birthday present. She then used the remaining ribbon to form squares of sides 1 over 16 m. What was the maximum number of squares she could form?

Answers

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Please Help!!!!!!! 17pts
is x-1 a factor of x^5+2x^2-1

Answers

Answer:

no, because f(1)=2

I hope this is good enough:

PLEASE HURRY 100P I REALLY NEED THIS!!!!!

Answers

The range of the data is 30, and the interquartile range (IQR) is 15.

To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

From the given data, we can determine the five-number summary as follows:

Minimum: 60

Q1: 70

Median (Q2): 80

Q3: 85

Maximum: 90

Now, let's create a box plot using this information:

```

| | | | |

60 |––––––––|––––––––| |

| | | | |

70 |––––––––|––––––––|––––––––|––––––––|

| | | | |

80 |––––––––|––––––––|––––––––|––––––––|

| | | | |

90 |––––––––|––––––––| |

| | | | |

------------------------------------

60 70 80 90

```

In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.

The range can be calculated as the difference between the maximum and minimum values:

Range = Maximum - Minimum = 90 - 60 = 30

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1 = 85 - 70 = 15

Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.

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Jack is given an ice cream. It is equally likely that he is given a chocolate,vanilla or strawberry flavour

Answers

an image please because there is nothing explainign what you need

Hi can any one teach me this constant difference

Answers

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

How do you find the constant difference in a sequence of numbers?

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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2(0.1m+6) please help

Answers

Answer:

m = -60

Step-by-step explanation:

2(0.1m + 6)

0.2m + 12

m = -12 / 0.2

m = -60

Answer: 0.2m+12

Step-by-step explanation:

distribute 2 into the parenthesis

2 x 0.1m

2 x 6

0.2m+12

Find a • b. a = 5i + 7j, b = -4i + 3j 1 41

Answers

Answer:

$\boxed{-20i^2 -13ij+21j^2}$

Step-by-step explanation:

$\sf Plug \ in \ the \ values.$

$(5i+7j) \cdot (-4i+3j)$

$\sf Expand \ brackets.$

$5i(-4i+3j)+7j(-4i+3j)$

$-20i^2 +15ij+-28ij +21j^2$

$\sf Combine \ like \ terms.$

$-20i^2 -13ij+21j^2$

Show that the sum of two irrational numbers can be rational

Answers

Answer:

Hint: We will have to know about the rational numbers and irrational numbers. ... So, the sum of the given two irrational numbers is equal to 6 which is a rational number in the form of p/q where p=6 and q=1 both are integers. Therefore, it is proved that the sum of the two given irrational numbers is a rational number.

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next

Answers

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

= 25 - 15 + 3x - 2x

= 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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