Given the letters from the word: RESPONSIBILITY, what is the probability of choosing one letter and getting an "I"?

Answer:

Follows are the responses to this question:

Step-by-step explanation:

Its size of the parts is reduced as the number of parts in the entire gets larger. This can be seen in a division by both the denominator. Its number of components differentiated into also increases because as the denominator improves, their sizes of its parts are therefore smaller.

\(\frac{1}{2}>\frac{1}{3}>\frac{1}{4}>\frac{1}{5} \ and \ more....\)

Groups become smaller as the denominator became larger.

Answer:

Given:

Here x represents the number of pizzas and y represents the number of sandwiches.

Buy 3 pizas:

Substitute x=3 in the given expression, and solve for y.

Thus, you can buy 10 sandwiches if you buy 3 pizza.

Assume you buy 6 pizzas.

Substitute x=6 in the given expression.

Thus, you can buy 4 sandwiches if you buy 6 pizzas.

0.1174 and 0.1173 points can be rejected at the 90% confidence interval.

What is standard deviation?

standard deviation will be 0.002222251111

Z

80%              1.282

85%               1.440

90%                 1.645

95%               1.960

99%                 2.576

99.5%             2.807

99.9%             3.291

90% Confidence Interval: 0.11464 ± 0.00163

(0.113 to 0.116)

Hence 0.1174 and 0.1173 points can be rejected.

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Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

Answer:

\( f(x) = 7x + 5 \).

Step-by-step explanation:

The equation that represents the function can be written in the slope-intercept form, \( f(x) = mx + b \).

To create an equation, we need to find the slope (m) and the y-intercept (b) of the function.

First, calculate the slope of the function using two points, (1, 12) and (2, 19).

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{19 - 12}{2 - 1} = \frac{7}{1} = 7 \)

Next, find b by substituting x = 1, f(x) = 12, and m = 7 into \( f(x) = mx + b \).

\( 12 = (7)(1) + b \)

\( 12 = 7 + b \)

Subtract 7 from each side

\( 12 - 7 = b \)

\( 5 = b \)

\( b = 5 \)

Substitute m = 7 and b = 5 into \( f(x) = mx + b \).

✅Thus, the equation that represents the function would be:

\( f(x) = 7x + 5 \).

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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(a) To find y/x, we divide y by x:
y/x = (3t^2 - 3) / (t^3 - 12)
To find dy/dx, we differentiate x and y with respect to t, and then divide dy/dt by dx/dt:
dy/dx = (dy/dt) / (dx/dt) = [(6t) / (t^3 - 12)] / [3t^2 - 36]
To find 2y/x^2, we substitute the expressions for y and x into the equation:
2y/x^2 = 2(3t^2 - 3) / (t^3 - 12)^2

(b) To determine the t-interval where the curve is concave upward, we need to analyze the second derivative, d^2y/dx^2. However, the given problem does not provide an equation for x in terms of t. Please check the problem statement and provide the equation for x so that we can find the second derivative and determine the t-interval where the curve is concave upward.

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A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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Answer: 57

Step-by-step explanation: f(57)=4(57)-3

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

Answer: 11 adults

Step-by-step explanation:

1. Let x = number of children and y = number of adults

2. Set up an equation: x+y = 16

3. 6x = cost of children's tickets based on the number of children present

9y = cost of adult's tickets based on the number of adults present

4. Set up your second equation: The total cost of tickets is $129, so 6x+9y = 129

Your system of equations is now:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

A positively skewed distribution is due to an extremely large number.

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

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Answer:

2

Step-by-step explanation:

The measure of the side 'x' is 16.31 m. The correct option is C.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.

Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.

The value of x will be calculated as,

sin65° = x / 18

x = 18 x sin65°

x = 16.31 m

Hence, the correct option is C.

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Answer: There are no solutions.

Step-by-step explanation: So the way you do this is by subtracting 9p from both sides, which gets you:

8 = -7

Since 8 is not equal to -7, there is no solution to this equation.

Answer:

There is no answer

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8+9p=9p−7

8+9p=9p+−7

9p+8=9p−7

Step 2: Subtract 9p from both sides.

9p+8−9p=9p−7−9p

8=−7

Step 3: Subtract 8 from both sides.

8−8=−7−8

0=−15

Answer:

There are no solutions.

Answer:

11/5

Step-by-step explanation:

the line goes up 11, and over 5, therfore the slope would be rise over run...so 11/5

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

From the table provided

Lion heart rate is 40 beats every minutes

Giraffe 5 beats every 12 seconds

Hummingbird 41 beats every 10seconds

Heart Rate = beat / time

For Lion

Beats = 40

time = 60 seconds

Heart rate for lion = 40/60

= 0.66 beat per second

For Giraffe

Rate = beat / time

Beats = 5

Time = 12 seconds

= 5/12

= 0.42 beat per second

For Hummingbird

Rate = beat / time

Beats = 41

time = 10seconds

= 41/10

= 4.1 beats per second

Lion = 0.66 beat per second

Giraffe = 0.42 beat per second

Hummingbird = 4.1 beat per second

Therefore, Giraffe has the slowest heart rate with 0.42 beat per second

The answer is giraffe

Step-by-step explanation:

root 3 by 4a²

root3/4*(12)²

36root3

Answer:

A≈62.35cm²

Step-by-step explanation:

A=3

4a2=3

4·122≈62.35383cm²

Answer:

q=1 and z= -5

Step-by-step explanation:

11=12-q

11-12= -q

-1 = -q

-1/-1 = -q/-1

q = 1

5 =z/-4 -3

5 =z/-7

5/1 = z/-7

z = 5* -7

z = -35

The first statement is False. If a function f is differentiable, then the derivative of f(x) with respect to x is denoted as f'(x), not dx/d(f(x)). The second statement is False as well. The integral of a function over an interval being zero does not imply that the function itself is zero over that interval.

In the first statement, the expression d/dx f(x) represents the derivative of f(x) with respect to x. This notation indicates the rate of change of f(x) with respect to x. On the other hand, 2xf'(x) denotes twice the product of x and the derivative of f(x) with respect to x. These two expressions are not equivalent, and thus, the first statement is False.

Moving on to the second statement, the integral of a function f(x) over an interval [a, b] represents the accumulated area under the curve of f(x) from x = a to x = b. If the integral of f(x) over the interval [0, 1] is zero, it means that the positive and negative areas cancel each other out, resulting in a net area of zero. However, this does not imply that the function itself is zero for all x in the interval [0, 1]. There can be cases where the function has positive and negative values, but their areas balance out to zero when integrated over the interval. Therefore, the second statement is also False.

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Answer:

k = 240

Step-by-step explanation:

4k - 3k = 240 ← collect like terms on left side

k = 240

Answer: k = 240

Step-by-step explanation:

     To solve, we will isolate the variable (k).

Given:

     4k - 3k = 240

Subtract 3k from 4k:

     k = 240

                             Answer: k = 240

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Answer:

\( \longmapsto4 \sqrt{3} + 3 \sqrt{2} .\)

Step-by-step explanation:

\(\sf{\dfrac{30}{4\sqrt{3} - \sqrt{18}}}\)

By rationalizing the denominator:-

\( = \sf{\dfrac{30}{4\sqrt{3} - \sqrt{18}} \times \dfrac{4\sqrt{3} + \sqrt{18}}{4\sqrt{3} + \sqrt{18}}}\)

\( = \sf{\dfrac{30(4\sqrt{3} + \sqrt{18})}{(4\sqrt{3})^2 - (\sqrt{18})^2}}\)

\( = \sf{\dfrac{30(4\sqrt{3} + \sqrt{18})}{48 - 18}}\)

\( = \sf{\dfrac{30(4\sqrt{3} + \sqrt{18})}{30}}\)

\( = \sf{\dfrac{\not{30}(4\sqrt{3} + \sqrt{18})}{\not{30}}}\)

\( = \sf{4\sqrt{3} + 3\sqrt{2}}\)

\( \therefore \sf{\dfrac{30}{4\sqrt{3} - \sqrt{18}} = 4\sqrt{3} + 3\sqrt{2}}\)

Answer:

c. BC

Step-by-step explanation:

It is the possible one

Answer:

1/10

Step-by-step explanation:

Probability= number of brown pencil/number of pencil in the box

3/30

=1/10

Answer: 1/5

Step-by-step explanation:

30/15 pairs is 2 pencils per pair. That means there are 4 yellow pencils, 6 brown pencils, and the rest are tan.

30-10=20. There are 20 tan pencils.

6/30 is the probability of a brown pencil being pulled out.

This simplifies to 1/5.

The integral that will find the area of the surface generated by revolving the curve f(x) = \(x^3\) about the x-axis is the integral from 0 to 3 of \(2\pi x^3\sqrt{9x^4 + 1}\) dx.

To find the area of the surface generated by revolving a curve about the x-axis, we use the formula for the surface area of a solid of revolution, which is given by:

A = \(\int (2\pi y \sqrt{1 + \left(\frac{dy}{dx}\right)^2}) dx\)

In this case, the curve is defined by f(x) = \(x^3\), and we need to revolve it about the x-axis. To find the surface area, we need to determine the expression for y and dy/dx in terms of x. Since the curve is rotated about the x-axis, the value of y is given by y = f(x) = \(x^3\).

Taking the derivative of y = \(x^3\) with respect to x, we get dy/dx = \(3x^2\). Substituting these values into the surface area formula, we have:

A = \(\int (2\pi x^3 \sqrt{1 + (3x^2)^2}) , dx\)

 = \(\int (2\pi x^3 \sqrt{1 + 9x^4}) dx\)

To evaluate this integral, we integrate from x = 0 to x = 3:

A = \(\int_{0}^{3} (2\pi x^3 \sqrt{9x^4 + 1}) dx\)

Therefore, the correct integral that will find the area of the surface generated by revolving the curve f(x) = \(x^3\) about the x-axis is the integral from 0 to 3 of \(\int 2\pi x^3 \sqrt{9x^4 + 1} dx\).

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The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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Answer:

2.9878987e+17

Step-by-step explanation:

Answer:

298789865000151217

Step-by-step explanation: