In City Lake, researchers caught, marked, and released 176 bass. Later, they took a sample of 91 bass and found that 13 were marked. Estimate the number of bass in the lake. a)1232 b)254 c)2288 d)254

Answers

Answer 1

Answer:

If x is the total number of bass in the lake we can write the following proportion: 176 / x = 13 / 91. 13 / 91 simplifies to 1 / 7 so the proportion becomes 176 / x = 1 / 7. Using the Cross Products Property this becomes x = 1232.

Answer 2

Answer:

a) 1232

Step-by-step explanation:

The ratio of marked samples over the population must be constant, then denote the total number of bass in the lake A, we have:

176/A = 13/91

=> A = 176 x 91/13 = 1232

Hope this helps!


Related Questions

Please help I do not understand

Answers

Answer:

Option B and C

Step-by-step explanation:

Option B and C are the most valid names for the triangle, Rest of the options don't suit the triangle.

how many 3/8’s are in 3

Answers

Answer: 8 times

Step-by-step explanation:

Youre essentially doing 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.

[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]

There are eight (8) 3/8’s are in 3

The number of 3/8’s in 3 can be obtained by dividing 3 by 3/8. That is;

3 ÷ 3/8

N.B: Due to the division sign, the 3/8 is arranged inversely while the sign changes to multiplication (×) as follows:

= 3 × 8/3

= 24/3

= 8

This means that there are eight (8) 3/8’s are in 3.

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Select the ones that correctly demonstrate the operations of scientific notation
Note that more than one option may be correct. Select all the correct answers

A. (4.0 x 103)(5.0 x 105) = 2 x 10^9

B. 4.5x105/9.0x10° = 2 x 10^4

C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5

D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3​

Answers

Answer:

A and C

Step-by-step explanation:

A. \

(4.0 x 5.0)(10^3 x 10^5)

20 x 10^8

2.0 x 10^9

B. doesn't work, do not understand last number

C.

(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything

4.8 x 10^5

D.

(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal

Do not need to subtract powers, hence D is untrue

Please help me………………………

Answers

The square root of 81/625 = 0.36

The square root of x^2 = x

The square root of y^2 = y

25 x 0.36 = 9

X *x = x^2

Y*y = y^2

Final answer = 9x^2y^2

Answer:

The answer is option d. 9x²y²

Step-by-step explanation:

25xy√81/625x²y²

= 25xy × 9/25xy

= 9x²y²

Hope this helps.

help me for brainliest answer

Answers

Answer:

Step-by-step explanation:

Pattern 6 will have 35

Pattern 6 will have 37 sticks
The formula would be 2+5n

90 POINTSSS PLEASE HELP!!!!!
Triangle C D E is translated down and to the right to form triangle C prime D prime E prime. Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?
ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'

Answers

The correct option is (B).ΔDCE ≅ ΔD'C'E'

Given,

Triangle CDE is translated down and to the right, forming triangle C'D'E'.

We have to find which statement is correct.

We know that,Triangle has three angles so when we translated it down it doesn't change.

Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.

Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So

[tex]CD =C'D'[/tex]

[tex]\ CE = \ C'E'[/tex]

[tex]DE =D'E'[/tex]

So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.

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Answer: It's B. I hope this helps!!!!

What is the value of x? Enter your answer in the box. x =

Answers

Answer:

4 units

Step-by-step explanation:

Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA

Line LJ is the opposite side while LK is the hypotenuse side. Hence,

Sin 30 = LJ/8√2

LJ = 8√2 × 1/2

= 4√2

Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.

Sin 45 = x/4√2

x = 4√2 × 1/√2

x = 4

Answer:

4

Step-by-step explanation:

Just took the test in k12

What is the value of the expression when n = 3?
GO
- 2 n(5 + n-8-3n)

Answers

Answer:

54

Step-by-step explanation:

since n = 3

= -2n ( 5n+n-8-3n)

= -2 (3) ( 5+(3)-8-3(3) )

= -6 (5+3-8-9)

= -6 (5-5-9)

= -6 (-9)

= 54.

Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.

Answers

Answer:

19/5

Step-by-step explanation:

Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.

Para hacer esto, agregamos todas las millas recorridas.

Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.

La fracción impropia es así (5 * 3) + 4/5 = 19/5

If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz

Answers

[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Can somebody help me with this ?? :)

Answers

Answer:

Step-by-step explanation:

You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.

I hope I've helped you.

Convert 2 3/4 to a decimal number.

Answers

Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal

Rebecca went on a 240 mile trip to a soccer game. On the way back, due to road construction she had to drive 12 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? She drove _______ mph on the way to the soccer game.

Answers

Answer:

20mph

Step-by-step explanation:

because you have to divide 240 by 12 and the answer is 20

Find X to the nearest tenth

A 14.4
B 4.8
C 1.7
D 9.4

Answers

Answer:

Step-by-step explanation:

The 2 smaller triangles are proportionate to one another because they are 2 parts of the same larger triangle. Setting up the proportion, one triangle at a time:

[tex]\frac{x}{8.3} =\frac{11.6}{6.7}[/tex] and cross multiply to get

6.7x = 96.28 so

x = 14.37 or 14.4, choice A.

pls Answer it step by step.

I WILL MARK BRAIN LIST. ​

Answers

Answer:

Step-by-step explanation:

Find the values of a and b such that

x^2 + 3x + 4 = (x + a)^2 + b


URGENT!

*silly answers will be reported

Answers

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?

Answers

Answer:

70 degrees

Step-by-step explanation:

Answer:

70 that my answer and so they can reach

Please I need help, DONT SKIPP

Answers

Answer:

P(Take the bus | Sophomore) = 0.83

Step-by-step explanation:

For a conditional probability (As given in the example),

P(A|B) is read as,

"The probability of event A occurring given that event B has occurred"

Here event A = Sophomore take a bus

Event B (occurred) = (Drive to school + Take the bus + Walk)

Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]

                                                                = [tex]\frac{25}{30}[/tex]

                                                                = 0.833

                                                                ≈ 0.83

P(Take the bus | Sophomore) = 0.83 will be the answer.

Angela bought 10 stamps that cost $1 or $1.20.
Altogether, her total was $11. How many of each $1 stamps and how many of
each $1.20 stamps did she buy?​

Answers

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

Learn more about linear equations;

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#SPJ2

b) give reasons for your answer

Answers

Answer:

80° is the correct answer

Step-by-step explanation:

The angle B is 100° because of the property of  the vertically opposite angle.

As we know the property consecutive interior angle that the sum of two angle is 180°

So

Angle B + Angle X  =180°

100 °+ Angle X =180°

Angle X=180°-100°

Angle X = 80°

*WILL MARK YOU BRAINLIEST!!!*

Answers

Answer:

C.

Step-by-step explanation:

Look at the image

C I thinks sorry if wrong

uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?

Answers

Answer:

27 smoothies

Step-by-step explanation:

if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)

Find the area of a circle with radius 7 ft.

Answers

Answer:

153.9 ft²

Step-by-step explanation:

The area for a circle formula is πr².

Using the radius, we get:

π×7² =

49π ≈

153.938 ≈ (Using the π key)

153.9 ft²

Answer:153.86

Step-by-step explanation:area of a circle is πr square

That is 3.14×49

=153.86

Sandpiper Sightseeing Tours purchased a new van for the business.
On the first trip, Jesse drove 2 hours at an average speed of 55 mph.
How far did Jesse travel?

Answers

On the first trip, Jesse drove 2 hours at an average speed of 55 mph. How far did Jesse travel?

2.2X55=121 miles..

ANYONE GOOD WITH CALCULUS?! PLEASE HELP ME!!! Use the antiderivative formula shown, where f(u) represents a function. Which function represents f(u)?

Answers

Answer: B

Step-by-step explanation:

For this problem, we can use Integration by Parts to find f(u).

∫(ln u) du                 x=ln u             dx=1/u du

                               dv=du               v=u

u(ln u)-∫u(1/u)du

u(ln u)-∫1 du

u(ln u)-u+C

Looking at the placement of f(u), we know that f(u) is u (underlined above).

Find the equation of the line through point (1,−5) and perpendicular to y=18x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answers

Answer:

y = -1/18x - 89/18

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative reciprocal of the original line

m = -1/18

Step 2: Find b

y = -1/18x + b

-5 = -1/18(1) + b

-5 = -1/18 + b

b = -89/18

Step 3: Rewrite entire equation

y = -1/18x - 89/18

Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings.

Answers

Answer:

Step-by-step explanation:

Value of firm = Number of shares×Market price per share

= 450,000 × $15

= $6,750,000

Value of debt = $825,000

Weight of debt = $825,000 / $6,750,000 = 12.22%

Number of shares continue to own = 20,000 × (1 - 12.22%) = 17,555.56 or 17,556 shares

Number of shares continue to own = 17,555.56 or 17,556 shares

Which expression gives the distance between the points (2,3) and (4,-3)?

Answers

Answer:

D

Step-by-step explanation:

D is the only answer with the correct distance formula format and the correct numbers inside the parentheses

the area of polygon MNOPQR = area of a rectangle that is 15 square units + area of a rectangle that is ___ square units. (input whole numbers only, such as 8)

im not understanding too well so...please help :/​

Answers

The area of the small rectangle is 3 units square.

Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

What is the equation of the line shown written in slope-intercept form?





y = -2
y = 2
x = 2

Answers

Answer:

The equation of the line is y = 2.

Step-by-step explanation:

When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :

[tex]y = mx + b[/tex]

[tex]let \: m = 0 \\ let \: x = 5 \\ let \: y = 2[/tex]

[tex]2 = 0(5) + b[/tex]

[tex]b = 2[/tex]

[tex]y = 2[/tex]

Answer:

it would be Y=2 as it's a horizontal line at y=2

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