The type and number of fish caught in the Charleston Harbor in March was recorded for a month. The results are recorded in the table below. What is the probability that the next fish caught is a Drum or Bluefish? Enter a fraction or round your answer to 4 decimal places, if necessary. Flounder-289, Red Drum-367, Black Drum-161, Bluefish-295, Sea Trout-151

Answers

Answer 1

Given: The type and number of fish caught in the Charleston Harbor in March was recorded for a month

To Determine: The probability that the next fish caught is a Drum or Bluefish

Solution

Calculate the total number of fish caught

$\begin{gathered} Flounder=289 \\ Red-Drum=367 \\ Black-drum=161 \\ Blue-fish=295 \\ Sea-trout=151 \\ Total=1263 \end{gathered}$

It can be observed that we have two types of drum, red drum and black drum. The probability that the next fish caught is a drum or blue fish would be

Probability of red drum or black drum or blue fish

Note that

$\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ P(A)=Probablity\text{ of A} \\ n(A)=Number\text{ of A} \\ n(S)=Number\text{ of total outcome} \\ P(A,OR,B)=P(A)+P(B) \end{gathered}$

Therefore, the probability hat the next fish caught is a drum or blue fish would be

$\begin{gathered} P(RD,OR,BD,OR,BF)=P(RD)+P(BD)+P(BF) \\ RD=Red-drum \\ BD=Black-drum \\ BF=Blue-fish \end{gathered}$

So,

$P(RD)+P(BD)+P(BF)=\frac{367}{1263}+\frac{161}{1263}+\frac{295}{1263}$$\begin{gathered} =\frac{367+161+295}{1263} \\ =\frac{823}{1263} \end{gathered}$

Hence, the probability hat the next fish caught is a drum or blue fish is 823/1263 or 0.6516

Related Questions

Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?

Answers

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

Question #10 Evaluate the expression: 18-3(1+4)

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Answer:

18-3-12

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3 is the answer

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Step-by-step explanation:

18-3(1+4)

multiply the numbers in the bracket by -3

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Simplify the following divisions by cancelling any
common factors.
a- 36xy/4x
b-25ab² / 10abc

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A.) cancel out 36 & 4= 9xyx after Calculate the product and you will get > 9x^2y
B.) can out a & b = -25b:/10c
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If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false

Answers

The inverse statement is false.

The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.

$(2x-3y)^5$

Answers

The binomial theorem states that: $(x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k$. So, the binomial expansion of (2x - 3y)⁵ is: $32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5$.

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: $ {5 \choose 0} (2x)^5 (-3y)^0$ = 32x⁵

Term k = 1: ${5 \choose 1} (2x)^4 (-3y)^1$ = -240x⁴y

Term k = 2: ${5 \choose 2} (2x)^3 (-3y)^2$ = 720x³y²

Term k = 3: ${5 \choose 3} (2x)^2 (-3y)^3$ = -1080x²y³

Term k = 4: ${5 \choose 4} (2x)^1 (-3y)^4$ = 810xy⁴

Term k = 5: ${5 \choose 5} (2x)^0 (-3y)^5$ = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:$(2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5$

Therefore, the binomial expansion of (2x - 3y)⁵ is: $32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5$.

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Vanessa earns a monthly salary of $2,250 plus a commission of 13.15% on sales at the car dealership where she
works. How much would she earn in one month if she sold $35,200 worth of cars?

Answers

Answer:

6878.80

Step-by-step explanation:

2250 + (35200*13.15%)

2250+4628.80

6878.80

Answer: 6878.8

Step-by-step explanation:

HELP ME raaaaaaaa NOWWWWWWWWWW

Answers

Answer:

C: EAF Is the correct answer

I think the answer is c

1. How many quilts will Sally supply at $500.00 per quilt?
2. Are any other factors besides price taken into account with the market supply schedule she has constructed?
3. Several situations are listed below that Sally has encountered in her business. Explain how each of these situations might
alter the supply of quilts.
a new sewing machine that helps her produce quilts in less time.

Answers

Sally will supply 3 quilts at $500.00 per quilt according to the market supply schedule she constructed.

What is the supply about?

The market supply schedule only takes into account the price per quilt and the quantity supplied per month. Other factors such as production costs, availability of raw materials, competition, and changes in technology are not taken into account in this supply schedule.

a. If Sally purchases a new sewing machine that helps her produce quilts in less time, her production efficiency will increase. This will enable her to produce more quilts in a shorter period of time, which will result in an increase in the supply of quilts.

b. If Sally anticipates an increase in prices for quilts in three months, she may increase the quantity supplied per month in order to take advantage of the higher prices. This may result in a temporary increase in the supply of quilts.

Lastly, c. If there are twice as many quilt suppliers as there were one year ago, Sally will likely face increased competition. This may result in a decrease in sales for Sally and a decrease in the price of quilts. In order to remain competitive, Sally may need to reduce the quantity supplied per month or find ways to differentiate her quilts from those of her competitors.

Answers

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

$A = P \times e^{rt}$

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

$A = P \times (1 + r)^t$

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

$3P = P \times e^{rt}$

Dividing both sides by P, we get:

$3 = e^{rt}$

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

$A = P \times (1 + r)^t$

$A = $8,000 \times (1 + 0.0275)^{22.313}$

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Provided that the ACT scores are reasonably normally distributed with a mean of 18 and standard deviation of 6, what is the proportion of students with a score of 24 or higher

Answers

Answer:

0.158655253931 or 15.8%

Step-by-step explanation:

Provided that the ACT scores are reasonably normally distributed with a mean of 18 and standard deviation

Choose the best multiple choice option below! Thanks in advance!

Answers

Answer:

Q5. D, Q6. D, Q9. B.

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

Question 5

The range of the given function has one restriction, its denominator can't be zero, hence:

3x + 4 ≠ 0 ⇒ 3x ≠ - 4 ⇒ x ≠ - 4/3

Therefore the function can get any value but zero:

y ≠ 0

The matching answer choice is D.

Question 6

Linear function is f(x) = mx + b.

Reciprocal of a function f(x) is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Question 9

Substitute x = - 5/3 into function to get:

$f(x)=\cfrac{1}{3*(-5/3)+5} =\cfrac{1}{-5+5} =\cfrac{1}{0}$

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

❗❗100 POINTS FOR CORRECT ANSWER AND EXPLANATION❗❗~math question~
thanks)

Answers

Answer:

k = 110

Step-by-step explanation:

You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.

Area of a circle

The area of a circle is given by the formula ...

A = πr²

Then the area of the outer circle is ...

A = π(14 cm)² = 196π cm²

The area of the inner circle is ...

A = π(8 cm)² = 64π cm²

Donut area

The area of the whole donut is the difference of these areas:

whole donut area = (196 -64)π cm² = 132π cm²

Shaded area

The shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...

shaded area = (300°/360°)×whole donut area

shaded area = 5/6 × 132π cm² = 110π cm²

Comparing this to the expression kπ cm², we see that ...

k = 110

Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x≤ 2 0 if x>2. (piecewise)

Answers

A graph of the given piecewise-defined function is shown in the image below.

What is a piecewise-defined function?

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x 2 0 if x>2. (piecewise)

Write a recursive formula for

Answers

Answer:

$a(1) = 144$

$a(n) = 144{( - \frac{1}{6} )}^{n - 1} $

$a(n) = - \frac{1}{6} a(n - 1)$

|-9| = ?

|7|= ?

Someone please help asap thanks:)

Answers

Answer:

Step-by-step explanation:

|x|=x,if x≥0

|x|=-x,if x<0

|-9|=-(-9)=9

|7|=7

an=26-6n find the 5th term in the sequence

Answers

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n = 5 into the expression given

$a_5$ = 26- 6( 5)

$a_5$ = 26- 30

$a_5$ = -4

The formula given, an = 26- 6n, represents an computation sequence with a common difference of-6.

This means that each term in the sequence is attained by obtain 6 from the former term.

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the matching value of n.

In this case, we were asked to find the 5th term, so we substituted n = 5 into the formula to get a5 = -4.

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Order the five ratios from least to greatest.
1/5
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1:1
5/3
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Answers

Step-by-step explanation:

Order the five ratios from least to greatest.

1/5 = 0.2

2:12 = 0.166667

1:1 = 1

5/3 = 1.66667

25/100 = 0.25

Answer:

5/3 , 1:1 , 25/100 , 1/5 , 2:12

What is the distance between the points (-1, 5) and (3, 5) in the coordinate plane?

Answers

Answer:

Step-by-step explanation:

What is the distance between the points (-1, 5) and (3, 5) in the coordinate plane?

What is the approximate value of θ if tan θ = 7/9

Answers

Answer:

37.9°

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

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

θ ≈ arctan(7/9)

The approximate value of θ is 37.9°.

This is Comparing Quantities

3 days to 40 hours
pls help me

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

Point J is located at -19. Points K and L are each 8 units away from Point J. Where
are K and L located?
K= L=

Answers

So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11

How to find the location of K and L?

Givent that Point J is located at -19. Points K and L are each 8 units away from Point J. This implies that the modulus of K - J or modulus of L - J = 18.

So, |K - J| = 8

⇒ K - J = 8 or -(K - J) = 8

Substituting the value of J = -19 into the equation, we have

⇒ K - J = 8 or -(K - J) = 8

⇒ K - (-19) = 8 or -(K - (-19)) = 8

⇒ K + 19 = 8 or (K - (-19)) = -8

⇒ K + 19 = 8 or K + 19 = -8

⇒ K = 8 - 19 or K = -8 - 19

⇒ K = - 11 or K = -27

Also, |L - J| = 8

⇒ L - J = 8 or -(L - J) = 8

Substituting the value of J = -19 into the equation, we have

⇒ L - J = 8 or -(L - J) = 8

⇒ L - (-19) = 8 or -(L - (-19)) = 8

⇒ L + 19 = 8 or (L - (-19)) = -8

⇒ L + 19 = 8 or L + 19 = -8

⇒ L = 8 - 19 or L = -8 - 19

⇒ L = - 11 or L = -27

So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11

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is 1/9 closer to 0 1/2 or 1

Answers

1/2 would probably be closer

Answer:1/9 is closer to 0

Step-by-step explanation:

1/9 is smaller than the rest of the numbers on a number line you'd see it'd be closer

The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?

Answers

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

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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What is (-2, 4) reflected across the x axis, what is it reflected across the y axis?

Answers

Reflected across the x axis is (-2,-4) across the y axis is (2,4)

6 1/2 cups divided by 3/4 as a fraction

Answers

Answer:

Fraction: 26/3

Decimal: 8.6

Mixed Number: 8 2/3

Step-by-step explanation:

Hope this helps! Please mark as brainliest.

Thanks!

A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?

Answers

Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

Select the measures that are equal to 3 gallons. Mark all that apply.

6 quarts

12 quarts

6 pints

12 pints

24 pints

20 cups

Answers

Answer:

12 quarts 24 pints

Step-by-step explanation:

change all measurements to gallons and solve.

1 quart= 2 pints

1 galllon = 8 pints

Answer:

12 quarts 24 pints

Step-by-step explanation:

change all measurements to gallons and solve.

1 quart= 2 pints

1 gallon = 8 pints

Probability of getting a bull's eye is ___. Write amswer as a fraction and show your work

$Probability of getting a bull's eye is ___. Write amswer as a fraction and show your work$

Answers

To determine the probability of bull's eye, you have to determine the total possible area, which is the area of the square, and the area of the bull's eye, which is the area of the red circle.

Assuming that each square of the grid indicates one square unit, then each line indicates one unit, you can count the number of units that correspond to the side length of the square. I'll mark the line that crosses the center of the square as zero and use it as starting point to count:

The side length of the square is s=12 units, using the formula for the area you can calculate it as follows:

$\begin{gathered} A_{square}=s^2 \\ A_{square}=12^2 \\ A_{\text{square}}=144\text{units}^2 \end{gathered}$

The radius of the red circle is r=1unit, using the formula for the area of the circle, you can calculate the area of the bull's eye as follows:

$\begin{gathered} A_{\text{bull's eye}}=\pi r^2 \\ A_{\text{bull's eye}}=\pi1^2 \\ A_{\text{bull's eye}}=\pi\cdot1 \\ A_{\text{bull's eye}}=\pi units^2 \end{gathered}$

The probability of hitting the center of the target can be determined as follows:

$\begin{gathered} P(bull^{\prime}seye)=\frac{A_{\text{bulls eye}}}{A_{square}} \\ P(bull^{\prime}seye)=\frac{\pi}{144} \\ P(bull^{\prime}seye)\approx0.02 \end{gathered}$

You can express the probability as a percentage by multiplying the result by 100:

$0.02\cdot100=2\%$

So, the probability of bull's eye is 2%

$Probability of getting a bull's eye is ___. Write amswer as a fraction and show your work$