What is the value of the expression below?
(9.5-3x 15)
(11)-05
0.5
5
10
19.5

It should be noted that the scientist could use the data to estimate the proportion of fish affected by copper toxicity in the entire population along this portion of the river by dividing the number of fishes affected by the fishes collected

Let the number of fish collected in sample be represented as N.

Let the number of fish affected in it be represented by X.

Therefore, the proportion will be;

= X/N

Therefore, this can be used by the scientist to estimate the proportion of fish affected by copper toxicity in the entire population.

Learn more about scientist on:

https://brainly.com/question/458058

#SPJ1

The difference between the least amount of time and the greatest amount of time is 57 seconds.

A fraction is a number representing a part of a whole or a ratio between two numbers. It consists of a numerator (the number above the fraction line) and a denominator (the number below the fraction line), separated by a fraction bar. The numerator represents the part of the whole or the first number in the ratio, while the denominator represents the whole or the second number in the ratio. Fractions can be expressed in different forms such as proper fractions, improper fractions, mixed numbers, and decimals.

Here,

To make a line plot of the data, we first need to find the frequency of each value. Here is the frequency table:

Time (seconds) Frequency

4 3

5 4

6 3

41 3

42 2

51 1

52 1

61 1

5호 길 6 1

Note that the value "5호 길 6" means "5 minutes and 6 seconds" in Korean. We can convert this to seconds by multiplying 5 by 60 and adding 6, which gives us 306 seconds.

Using this frequency table, we can make a line plot by marking a dot above each value corresponding to its frequency. The line plot should look like this:

No, we do not agree. The difference between the least amount of time and the greatest amount of time is 61 - 4 = 57 seconds, not 4 seconds. We can see this by looking at the line plot and finding the smallest and largest values on the x-axis.

To know more about fraction,

https://brainly.com/question/24638688

#SPJ1

Answer:

A

Step-by-step explanation:

\(-2<-1 \frac{5}{8}<-1\), and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

Answers to all the questions using binomial distribution are shown below.

To answer all the questions using binomial distribution:

(A) The binomial distribution will be roughly normally distributed if the following conditions are satisfied:

Given that;

Test whether the conditions are satisfied:

Since the conditions are satisfied, the distribution is approximately normal.

(B) Calculate mean and standard deviation of binomial distribution:

Now use normal approximation:

(C)

Therefore, answer to all the questions using binomial distribution are shown below.

Know more about Binomial distribution here:

https://brainly.com/question/9325204

#SPJ4

The complete question is given below:

Medical treatment will cure about  87% of all people who suffer from a certain eye disorder. Suppose a large medical clinic treats 57 people with this disorder. Let r be a random variable that represents the number of people that will recover. The clinic wants a probability distribution for r.

A. Write a brief but complete description in which you explain why the normal approximation to the binomial would apply. Are the assumptions satisfied? Explain.

b. Estimate P(r≤47).

c. Estimate P(47≤r≤55).

answer is 2y

Step-by-step explanation:

subtract 4x -4x and cancels out

y=2 must be 2y

(a) The gradient is \(\frac{40}{5}=\boxed{8}\), and represents the cost of buying one book in dollars.

(b) Draw the line through (0,0) and (20, 130).

(c) Since the gradient of the line representing company B is less (6.5 vs 8), it is better to buy books from company B because they are cheaper.

The calculated data points using the moving average method would be 66.67, 60, 66.67.

We have,

To calculate the moving average, we need to choose a window size, which determines the number of data points to consider for each average.

Let's assume a window size of 3 for this example.

Given the data points: 90, 65, 45, 70, 85

To calculate the moving average, we take the average of the first three data points, then the average of the next three, and so on.

Here's how it would look:

Moving average for the first window: (90 + 65 + 45) / 3 = 66.67

Moving average for the second window: (65 + 45 + 70) / 3 = 60

Moving average for the third window: (45 + 70 + 85) / 3 = 66.67

Therefore,

The calculated data points using the moving average method would be: 66.67, 60, 66.67.

Learn more about average here:

https://brainly.com/question/23263573

#SPJ12

Answer:

as a trapezoid, a rectangle, and two squares

Answer:

Step-by-step explanation:

Answer:

5015

Step-by-step explanation:

65 + 90 x 55

Remember using PEMDAS, Division/Multiplication in front of Addition/Subtraction.

90 x 55 = 4950

4950 + 65 = 5015

Answer:

8525

Step-by-step explanation:

just use a calculator

Money in the account when you graduate from the college is a) $6171.5 and b)$6195.

Given:

Principal = $5000

Interest rate = 4.3%

Time = 5 years

a)

A = p(1+r/n)^nt

= 5000(1+0.043/1)^1*5

= 5000(1.043)^5

= 5000*1.2343

= $6171.5

The annual money is $6171.5

b)

A = p(1+r/n)^nt

= 5000(1+0.043/12)^12*5

= 5000(1.00358)^60

= 5000*1.239

= $6195

The monthly money is $6195.

Learn more about the annual money here:

https://brainly.com/question/5263243

#SPJ1

In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).

We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of  parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.

angle B = angle D

2n + 15 = 3n - 15

n = 30

The value of n is 30.

Now we can find the measures of angles B and D:

angle B = 2n + 15 = 2(30) + 15 = 75 degrees

angle D = 3n - 15 = 3(30) - 15 = 75 degrees

Therefore, the answer is (a) ∠b = 55°; ∠d = 55

To know more about parallelogram :

https://brainly.com/question/16578666

#SPJ4

____The given question is incomplete, the complete question is given below:

In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°

Answer:

The Answer is A

Step-by-step explanation:

I just took the test! 2023Edg

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

To learn more about function visit: https://brainly.com/question/13113489

#SPJ4

Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!

Step-by-step explanation:

Answer:

[7-3]4 or [7-3]x4 your welcome hope it helps!

Step-by-step explanation:

Answer:1/4

Step-by-step explanation:

The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.

Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

To find a polynomial p(x) with the given properties, we can start by assuming p(x) is of degree 3, so p(x) = ax^3 + bx^2 + cx + d.

Given p(0) = 3, we have d = 3.

Next, we need to find the derivative of p(x). Taking the derivative of p(x), we get p'(x) = 3ax^2 + 2bx + c.

Given p'(0) = -2, we have c = -2.

Now, we need to find values for a and b. We can use the condition p'(x) = -2 at x = 0 to get -2 = 3a(0)^2 + 2b(0) - 2. This simplifies to -2 = -2.

Since the equation is true for any values of a and b, we can choose any values we want. Let's choose a = 1 and b = 0.

So, our polynomial p(x) is p(x) = x^3 - 2.

Using MATLAB, you can plot px and p'(x) on the same graph. Make sure to label your axes and provide a title and a legend.

To find the points where p'(x) = 0, set p'(x) = 0 and solve for x. In this case, there are no such points.

To identify the intervals where p'(x) > 0 or p'(x) < 0, you can consider the sign of p'(x) in different intervals. In this case, p'(x) > 0 for all x.

Since p'(x) > 0 for all x, the shape of p(x) is always increasing.

To find another function q(x) with q(x) ≠ p(x) but having the same derivative, we can start with q(x) = p(x) + k, where k is any constant.

Plotting p(x) and q(x) on the same graph, you'll see that they have the same derivative but different values.

To expand p(x)^2, you can use the binomial theorem. The derivative of p(x)^2 can be found using the chain rule.

To calculate (d/dx)(p(x)^2) using a different method, you can also multiply p(x) by 2p'(x) and simplify. This will give you the same result.

Learn more about Solution here:

https://brainly.com/question/28891413?referrer=searchResults

#SPJ11

We can write (15 + 45) as a product of 2 factors using GCF and the distributive property 15(1 + 3).

We are given the following expression-

15 + 45

Now, we can factorize 15 into prime factors as follows -

= 3 × 5 (15 × 1)

Similarly, we can factorize 45 into prime factors as follows -

= 3 × 3 × 5 (15 × 3)

Thus, the greatest common factor of 15 and 45 is 15, so we can

= 15 × 1 = 15 and 15 × 3 is 45

Hence, we can write (15 + 45) as 15(1 + 3).

Learn more about the distributive property:

brainly.com/question/28490348

#SPJ4

The body of water labeled with the number 3 on the map above is the Amazon River, and the body of water labeled with the number 7 is the Atlantic Ocean.

The Amazon River, marked as number 3 on the map, is the largest river by discharge volume in the world. It originates in the Peruvian Andes and flows across South America, passing through Brazil, before emptying into the Atlantic Ocean. The river spans approximately 6,400 kilometers (4,000 miles) and is known for its rich biodiversity and dense rainforest surroundings.

The Amazon River is an essential lifeline for countless species, indigenous communities, and ecosystems, contributing to the overall health of the region.

The Amazon River holds an extraordinary place in our planet's natural heritage. Its significance extends beyond its impressive size and flow. Discovering more about its unique ecosystem, indigenous cultures, and environmental challenges can help raise awareness and foster conservation efforts.

Learn more about Rivers

brainly.com/question/8807634

#SPJ11

Answer:

Anything with 2 Yellow and more than 3.5 Blue

Step-by-step explanation:

The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand.  The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue.  You can find ratios that are the same but use more/ less  amounts.  So if you use 4 units of yellow and 7 of blue it is the same ratio.  

If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio.  So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.  

Step-by-step explanation:

the 60 preliminary published articles are a constant.

all the new articles are simply added to that to get the total number of published articles.

every months produces 12 more articles.

so,

m = 1 means a = 60 + 1×12 = 72

m = 3 means a = 60 + 3×12 = 60 + 36 = 96

m = 4 means a = 60 + 4×12 = 60 + 48 = 108

m = 9 means a = 60 + 9×12 = 60 + 108 = 168

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

To know more about the method of substitution, here

https://brainly.com/question/26094713

#SPJ4

Answer:

8.125 inches

Step-by-step explanation:

Ok so basically what you needed to do was this

Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5

Then you will do

3.25 x 2.5 and get your answer

8.125

There you go! Have a Wonderful Day

The unit rate of ingredient C and ingredient D is 3/8 and 4/9 cup per serving respectively.

The ingredient with the lower unit rate is ingredient C.

Ingredient C:

1/4 cup for 2/3 serving

Unit rate = Number of cup / Number of servings

= 1/4 ÷ 2/3

Multiply by the reciprocal of 2/3

= 1/4 × 3/2

= 3/8 cup per serving

Ingredient D:

1/3 cup for 3/4 serving

Unit rate = Number of cup / Number of servings

= 1/3 ÷ 3/4

Multiply by the reciprocal of 3/4

= 1/3 × 4/3

= 4/9

Therefore, the ingredient with the lower unit rate is ingredient C.

Read more on unit rate:

https://brainly.com/question/4895463

#SPJ1

In Exercises 23-26 and In Exercises 27-36 , the trigonometric function by memory and by constructing an appropriate triangle for the given special angle are mentioned below

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

1. Exercises 23-26

23. (a) cos 60° = 0.5

24. (a) cot 45° = 0.7071

25. (a) sin 45° =  0.7071

26. (a) sin 60° = 0.8660

(b) cos 30° = 0.8660

(b) cos 45° =  0.7071

(b) cos 30° = 0.8660

(b) tan 45° = 1

27. (a) sin 10° = 0.9958

28. (a) tan 23.5° = 0.4348

29. (a) sin 16.35° = 0.2815

(c) tan 60° = 1.732

(c) cosec 45° = 1.4142

(c) tan 30° = 0.5773

(c) sec 30° = 1.1547

2.  Exercises 27-36

(b) cos 80° = 0.1736

(b) cot 66.5° = 0.4348

(b) cosec 16.35° = 3.5523

To know more about trigonometry check:

https://brainly.com/question/29002217

#SPJ1

One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."

Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.

Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.

National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.

To know more about Electoral College,

https://brainly.com/question/30494216

#SPJ11

Using proportions, it is found that:

a) You would find 36 kg of carbon is a 300 kg piece of marvel.

b) 40% of marble is Calcium.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the ratio 10:3:12 of calcium, carbon and oxygen means that:

Hence for item a, the amount is given as follows:

300 x 3/25 = 36.

You would find 36 kg of carbon is a 300 kg piece of marvel.

For item b, the percentage is found as follows:

10/25 = 40%.

40% of marble is Calcium.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1