Can someone PLEASE Tell Me to answer to this

Answer:

1 1/2

Step-by-step explanation:

Answer:

43%

Step-by-step explanation:

There are 39 girls. 21 of them like biology. 11 out of 34 who like chemistry are girls.

No. of girls who prefer biology = 21

There are (100-39) boys. 16 of them like physics. (34-11) of them like chemistry.

No. of boys who prefer biology = 100-39-16-34+11

                                                    = 22

Percentage of students who prefer biology = \(\frac{21+22}{100}\) × 100%

                                                                        = \(\frac{43}{100}\) × 100%

                                                                        = 43%

(a) The probability that the amount of collagen is greater than 62 grams per milliliter is 0.8365.

(b) The probability that the amount of collagen is less than 74 grams per milliliter is 0.8365.

(c) The percentage of compounds formed from the extract of this plant that fall within 1 standard deviation of the mean is approximately 68%.

Here are the expanations for each solution

(a) What is the probability that the amount of collagen is greater than 62 grams per milliliter? Given mean = μ = 68 grams per milliliterStandard deviation = σ = 6.1 grams per milliliter. We need to find the probability that the collagen amount is greater than 62 grams per milliliter. That is P(X > 62). We can find this probability using the standard normal distribution formula: P\left( {X > 62} \right) = 1 - P\left( {X \le 62} \right). Here, X is normally distributed with mean μ = 68 and standard deviation σ = 6.1

We standardize this equation using Z-score formula: Z = \frac{{X - \mu }}{\sigma } = \frac{{62 - 68}}{6.1} = - 0.98

Using the normal distribution table, P(Z ≤ -0.98) = 0.1635 Therefore, P(X > 62) = 1 - 0.1635 = 0.8365 Therefore, the probability that the amount of collagen is greater than 62 grams per milliliter is 0.8365.

(b) What is the probability that the amount of collagen is less than 74 grams per milliliter? We need to find the probability that the collagen amount is less than 74 grams per milliliter. That is P(X < 74). Here, X is normally distributed with mean μ = 68 and standard deviation σ = 6.1

We standardize this equation using the Z-score formula: Z = \frac{{X - \mu }}{\sigma } = \frac{{74 - 68}}{6.1} = 0.98 Using normal distribution table, P(Z ≤ 0.98) = 0.8365 Therefore, P(X < 74) = 0.8365 Therefore, The probability that the amount of collagen is less than 74 grams per milliliter is 0.8365.

(c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean? We need to find the percentage of compounds formed from the extract of this plant that falls within 1 standard deviation of the mean. That is P(μ - σ < X < μ + σ). Here, X is normally distributed with mean μ = 68 and standard deviation σ = 6.1 Using the empirical rule, we know that within 1 standard deviation of the mean, approximately 68% of the values will lie. Thus, the percentage of compounds formed from the extract of this plant that fall within 1 standard deviation of the mean is approximately 68%.

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Answer:

x= 5/2

Step-by-step explanation:

Answer:

-4 =x

Step-by-step explanation:

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The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:

144

Step-by-step explanation:

(ab)²

(4*-3)²

(-12)²

144

Best of Luck!

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

Cut the prism into 2 parts like the picture below

Name the upper part A, and the lower part B

Calculate the volume of part A:

12 - 8 = 4 cm

4 * 5 * 6 = 120 \(cm^{3}\)

Calculate the volume of part B:

15 * 8 * 6 = 720 \(cm^{3}\)

Volume of the whole prism:

Volume of part A + volume of part B

120 + 720 = 840 \(cm^{3}\)

Answer:840 cm squared

Step-by-step explanation:

Answer:

-15x + 30

Step-by-step explanation:

-3(5x -10)

-15x + 30

Answer:

432 cm^3

Step-by-step explanation:

8 times 6 times 9

The volume of the rectangular prism is 432 cm³ which is correct option (D).

The volume of the cuboid is defined as the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. The volume of a cuboid is equal to the product of length, width and height of a cuboid.

The volume of the cuboid = L×W×H

Where, L is length of cuboid, W is breadth of cuboid, and H is height of cuboid.

Given that,

Length of rectangular prism (L) = 8 centimeters

Width of rectangular prism(W) = 6 centimeters

Height of rectangular prism(H) = 9 centimeters

The volume of the rectangular prism(cuboid) =  L×W×H

Substitute the values in above formula,

The volume of the rectangular prism = 8×6×9

The volume of the rectangular prism = 432 cm³

Hence, the volume of the rectangular prism is 432 cm³.

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Answer:

\(v(t) = 2t - 5\)

Step-by-step explanation:

Given

\(s(t) = t^2 - 5t + 1\)

Required

The speed of the particle

To do this, we simply differentiate the position function

i.e.

\(v(t) = s'(t)\)

So, we have:

\(s(t) = t^2 - 5t + 1\)

Differentiate

\(s'(t) = 2t - 5 + 0\)

\(s'(t) = 2t - 5\)

So, the speed function is:

\(v(t) = 2t - 5\)

Answer:

44

Step-by-step explanation:

PEMDAS

34+2*5

34+10

44

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

x = -6 or 6

Step-by-step explanation:

=> x² - 36

=> x² - 6²

=>(x + 6 ) (x - 6)

=> x = -6 or x = 6

\(x^2-36\\\\=x^2-6^2\\\\=(x+6)(x-6)\)

Answer:

area of the square=12×12

=144 cm²

area of the circle (radius=12/2=6 cm

πr²

3.142×6²

=113.112 cm²

area of the square-area of the circle

144. -113.112

30.888 cm²

Area of the shaded region=30.888/4

=7.722 cm²

Avan and Charu are both positioned 10 feet to the left and 12 feet to the right of Balin, who is in the center.

Let's assume that the people are standing in the order Avan, Balin, and Charu. Then we know that:

Avan and Balin are 10 feet apart, so the distance between Avan and Charu is 10 + 12 = 22 feet.

Charu and Avan are 2 feet apart, so the distance between Balin and Avan is 12 - 2 = 10 feet.

Therefore, Balin is in the middle, with Avan standing 10 feet to his left and Charu standing 12 feet to his right.

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Answer:

10 cups

Step-by-step explanation:

120minutes divided into 60minutes = 2 hours

20 divided by 2 = 10 cups

Given:

Number of people the auditorium can seat = 320 people

Let's dtetrmine the inequality that best represents the number of people who can sit at the auditorium.

Here, the greatest number of people that can sit at the auditorium is 320 people, from the list of inequalities given, the best inequality which represents the number of, P, who can sit at the auditorium is: p < 321

This means that the number of people, p, must be less than 321.

ANSWER:

p < 321

Step-by-step explanation:

%error= (new value- original value) x 100%

original value

=20-18 x 100

18

=11.11...

Step-by-step explanation:

I think is the third one. I hope it helped.

By using the boundary conditions y(0) = 0 and y(π) = 0, the only solution that satisfies the given boundary conditions is y(x) = 0.

The characteristic equation has roots r = 4i and is written as r2 + 16 = 0. then, the standard remedy

y(x) equals c1cos(4x) plus c2sin (4x)

We obtain using the boundary constraints y(0) = 0 and y() = 0.

c1 equals zero and y(0) = c1cos(0) + c2sin(0) = 0

Since y() = c2*sin(4) = 0 and sin(4) = 0 for c2, 4 is an integer multiple of c2.

Consequently, the only option that meets the specified boundary requirements is y(x) = 0. The characteristic equation has roots r = 4i and is written as r2 + 16 = 0. then, the standard remedy y(x) equals c1cos(4x) +c2sin (4x).

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The number of small and large boxes will be 6 and 12, respectively. And the graph is given below.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A paper organization requirements to deliver paper to a huge printing business. The paper will be sent in little boxes and enormous boxes. Every little box of paper weighs 50 pounds, and every huge box of paper weighs 75 pounds. There were two times as many huge boxes transported as little boxes delivered and the all out weight of all crates was 1200 pounds.

Let 'x' be the number of small boxes and 'y' be the number of the large boxes. Then the equations are given as,

y = 2x                            ...1

50x + 75y = 1200         ...2

From the equations 1 and 2, then we have

50x + 75(2x) = 1200

200x = 1200

x = 6

Then the value of 'y' will be given as,

y = 2 (6)

y = 12

The number of small and large boxes will be 6 and 12, respectively. And the graph is given below.

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The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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The number of unique processes created is 3 (initial process, child process, and grandchild process), and the number of unique threads created is 1 (within the child process).

Based on the given code segment, let's analyze the creation of processes and threads:

The initial process creates a child process with fork(). So, we have one additional process (child process) created.

In the child process block (if (pid == 0)), another fork() call is made. This means the child process creates another child process. So, we have one more addition process (grandchild process) created.

Inside the child process block, there is a call to thread_create(). This creates a new thread within the child process. Therefore, we have one additional thread created.

After the child process block, there is another fork() call in the initial process. This creates another child process. So, we have one more additional process (second child process) created.

Overall, the number of unique processes created is 3 (initial process, child process, and grandchild process), and the number of unique threads created is 1 (within the child process).

Note: Keep in mind that the behavior of fork() and thread_create() can be affected by various factors, and the actual execution may vary based on the operating system and system resources.

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An element of a line known as a line segment joins two places that are thought of as line's ends. Point C is on line segment BD, Given CD = 2 and BC = 8, the length BD is 10.

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of points on the line that lie inside those endpoints. The Euclidean distance between the two ends of a line segment determines its length. Half-open line segments contain exactly one of endpoints, while closed line segments have both of the endpoints. Open the line segments do not contain either of the endpoints. A line drawn above the symbols for the two endpoints is frequently used in geometry to indicate a line segment.

An element of a line known as a line segment joins two places that are thought of as line's ends. It is possible to measure the separation between two places. Given that line segments have a defined length, they can form the sides of any polygon.

Point C is on line segment BD.

CD+BC=2+8=10

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Answer:�

�

=

BC=

15

15

Step-by-step explanation:

Answer: 1 hour and 20 minutes

Step-by-step explanation:

We can use the formula:

time = distance / speed

Let's call the distance of the journey "d".

When the train is travelling at 40 km/h, it takes 3 hours to complete the journey. So we have:

3 = d / 40

Solving for "d", we get:

d = 3 x 40 = 120 km

Now we want to know how long it will take for the train to complete the same journey at 90 km/h. We can use the formula again:

time = distance / speed

Plugging in the values we know:

time = 120 / 90

Simplifying, we get:

time = 4/3 hours or 1 hour and 20 minutes

Therefore, the train will take 1 hour and 20 minutes to complete the journey at 90 km/h.

Required answer :-

Step-by-step explanation:

A train travelling at 40km/h takes 3 hours for a journey. So, Speed will be 40 km/hr

Time will be 3 hours.

Speed = Distance/time

Distance = Speed × time

Distance = 40 × 3

Distance = 120 km.

Now, we have to find that how long will it take the train to complete the same journey, travelling at 90km/h.

Now, Speed will be 90 km/hr

Distance = Speed × time

Time = Distance/speed

Time = 120/90

Time = 4/3 hours

1 hour = 60 minutes

4/3 × 60

4 × 20

80 minutes

1 hour 20 minutes.

Therefore, The train will take 1 hour 20 minutes to complete the journey, travelling at 90km/h.

The point on the line y = 2x + 3 which is closest to origin is (-6/5, 3/5).

In order to find the point on line y = 2x + 3 that is closest to the origin, we  minimize the distance between the origin (0, 0) and a point (x, y) on the line.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula : d = √(x₂ - x₁)² + (y₂ - y₁)²,

In this case, one point is the origin (0, 0) and other point is (x, 2x + 3) on the line y = 2x + 3.

We can write , d = √(x - 0)² + ((2x + 3) - 0)²,

= √(x² + (2x + 3)²)

= √(x² + 4x² + 12x + 9)

= √(5x² + 12x + 9)

To minimize the distance, we minimize square of distance, which is equivalent. So, we minimize the square of distance,

d² = 5x² + 12x + 9

To find the minimum-point, we take derivative of d² with respect to x and equate to 0,

d²/dx = 10x + 12 = 0

Solving this equation,

We get,

10x + 12 = 0

10x = -12

x = -12/10

x = -6/5

Now, we substitute value of "x" in equation y = 2x + 3 to find the corresponding y-coordinate,

y = 2(-6/5) + 3

y = -12/5 + 15/5

y = 3/5.

Therefore, the closest point is (-6/5, 3/5).

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The given question is incomplete, the complete question is

Find the point on the line y = 2x + 3 that is closest to the origin.

The answer to this question is none of the given options (A, B, C, D, or E).To find the maximum perimeter of a square that can fit inside a circle of radius 5 cm, we need to consider that the diameter of the circle is equal to the diagonal of the square.

This means that the side of the square will be equal to the radius of the circle multiplied by the square root of 2 (since the diagonal of a square is the side length times the square root of 2).

So, the side length of the square will be 5 cm x √2 = 7.07 cm. And since a square has four sides of equal length, the perimeter of the square will be 4 x 7.07 cm = 28.28 cm.

However, this perimeter is greater than the circumference of the circle with radius 5 cm, which is 2 x π x 5 cm = 31.42 cm. This means that the square cannot fit entirely inside the circle.

Therefore, the answer to this question is none of the given options (A, B, C, D, or E).

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Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

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