Identify the type of data that would be used to describe a response. In the last seven days, on how many days did you exercise for 30 minutes or more

The shape of the sampling distribution will be approximately normal, with a center at 40 inches and a standard deviation of 1.645 inches.

The mean of the sampling distribution of the sample mean height for samples of size 10 will also be 40 inches.

The standard deviation of the sampling distribution of the sample mean height can be calculated as:

σ/sqrt(n) = 5.2/sqrt(10) = 1.645

So, the shape of the sampling distribution will be approximately normal, with a center at 40 inches and a standard deviation of 1.645 inches.

The variability of the sampling distribution is smaller than the variability of the population distribution, because the standard error is smaller than the population standard deviation. This means that the sample means are more likely to be closer to the population mean than the individual heights in the population.

Learn more about standard deviation here:https://brainly.com/question/475676

#SPJ1

To solve Initial value problem , We use Euler's approximation method

First-order methods, such as the Euler method, have local errors that are proportional to the square of the step size and global errors that are proportional to the step size.

It is utilised for the initial value-driven solution of ordinary differential equations (ODE).

The tangent at the point x is constructed using Euler's technique, which uses the straightforward formula

y(x+h) = y(x) + hf(x,y), to get the value of y(x+h), whose slope is dy/dx.

At Euler's approach, the curve of the solution can be roughly approximated at steps of h by the tangent in each interval (i.e., by a series of brief line segments).

In general, using a short step size improves approximation accuracy.

The question is incomplete So, I've answered the question is general

To know more about Euler's method here

https://brainly.com/question/16807646

#SPJ4

To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

To know more about subtransient  refer here:

https://brainly.com/question/15741791#

#SPJ11

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

To learn more about relative frequency click :

https://brainly.com/question/29739263

#SPJ1

Answer:

Yes

Step-by-step explanation:

it is C = d . 3.14

diameter multiplied by pi 3.14

Another rule you can use is C = 2r . 3.14

which is the half diameter multiplied by 2 then by 3.14

Hope that helps :)

Answer:

its 3.5

Step-by-step explanation:

since we need to replace x with 6 the equation is now 3(6) + 8y = -10.

next i would multiply  3&6 to 18 then subtract 8y to the other side like this

18 + 8y = -10

     - 8y         -8y

18= -10 -8y

then i would add -10 to 18 on that side

18= -10 -8y

+10   +10    

28 = 8y

then i divided

3.5 is my answer

Answer:

3+4

Step-by-step explanation:

cuz they are separated by a plus sign

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

To know more about equilibrium refer here:

https://brainly.com/question/14281439?#

#SPJ11

Answer: -6p - 78

Step-by-step explanation:

-5 (3p + 3) + 9(-7 + p)

-15p -15 - 63 + 9p

-6p-78

Answer:

-5(3p +3 ) + 9(-7 +p)

=15p +15 -63+9p

=15p+9p+ 15-63

= 24p-48

= 6(4p - 8)

Step-by-step explanation:

Two numbers that satisfy the conditions of having a sum of 20 and a product of 96 are 8 and 12. This can be answered by the quadratic equation.

Let's call the two numbers we're looking for "x" and "y". We know from the problem that:

x + y = 20

xy = 96

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y:

y = 20 - x

We can substitute this expression for y into the second equation:

x(20 - x) = 96

Expanding the left side, we get:

20x - x^2 = 96

Rearranging terms:

x^2 - 20x + 96 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (20 ± sqrt(20^2 - 4(1)(96))) / (2(1))

x = (20 ± 4) / 2

So we have two possible solutions:

x = 12 or x = 8

If x = 12, then y = 8 (from the equation y = 20 - x). We can check that these values satisfy both conditions:

12 + 8 = 20

12 * 8 = 96

Therefore, the two numbers that satisfy the conditions are 8 and 12

To learn more about quadratic equation here:

brainly.com/question/17177510#

#SPJ11

Answer:

7. 2.34*10^8

8. 6.3* 10^-5

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

6. The elephants mass would be 88000 kg.

7. The ants mass would be 0.000073 kg .

Step-by-step explanation:

Answer:

Your answer would be 1 chocolate chip cookie and 1.5 sugar cookie each.

Step-by-step explanation:

We know that Kim's sister ate two Chocolate Chip cookies, so: \(4-2 =2\) and we also know that the rest of the cookies were shared by two people, so:

\(3\) ÷ \(2 = 1.5\) and \(2\) ÷ \(2=1\)

Based on the information in the graph, it can be inferred that team B scores 4 more goals per game.

To compare the populations using measures of center and median we must carry out the following procedure:

Team A

Median = 3

Q₁ = 2

Q₃ = 4

IQR = Q₃ - Q₁ = 4 - 2 = 2

Team B

Median = 7

Q₁ = 6

Q₃ = 8

IQR = Q₃ - Q₁ = 8 - 6 = 2

According to the information above, the variation in goals scored is the same. However, team B usually scores 4 more goals than team A for each game.

Additionally, the difference in the mean of these two values is 2.

Note: This question is incomplete. Here is the complete information:

Attached image

Learn more about hockey in: https://brainly.com/question/30064061

#SPJ1

The answer to Math.round(3.6) is D. 4.0. The Math.round() method is used to round a number to the nearest integer.

When we apply Math.round(3.6), it rounds off 3.6 to the nearest integer which is 4.

This method uses the following rules to round the given number:

1. If the fractional part of the number is less than 0.5, the number is rounded down to the nearest integer.

2. If the fractional part of the number is greater than or equal to 0.5, the number is rounded up to the nearest integer.

In the given question, the number 3.6 has a fractional part of 0.6 which is greater than or equal to 0.5, so it is rounded up to the nearest integer which is 4. Therefore, the correct answer to Math.round(3.6) is D. 4.0.

It is important to note that the Math.round() method only rounds off to the nearest integer and not to a specific number of decimal places.

Know more about Math.round here:

https://brainly.com/question/30756253

#SPJ11

Answer:

Area: 196

Perimeter: 56

Step-by-step explanation:

1. Pick a side for both length and height and count the distance between the two coordinates (for example VU and UT)

VU = 14

UT= 14

Also important to note here that you don't even need to count the distance for both because since it's a square, all the sides are the same. Only did this to make it easier to understand the next step.

2. Since it's a square, as I said before, all sides are the same. So, you can go ahead and mark WT and VW as 14 as well.

3. To get the area, use the formula base times height.

14 x 14 = 196

4. For perimeter, simply add up all the sides (or multiply 14 by 4 since all are the same)

14+14+14+14=56

The measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have a diagram shown in the picture.

The measure of an angle is 30 degrees shown.

The triangle is a right-angled triangle

30-60-90

Two parallel lines are shown which are intersected by a transversal.

The adjacent angle is 60 degrees.

The measure of angle θ:

θ = 90 - 60

θ = 30 degrees

Thus, the measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

Based on the given information, the possible lengths of Pine Avenue are from 7 miles to 9 miles, because Main St. and Hill St. are located in that area. So, Pine Avenue must be longer than 7 miles and shorter than 9 miles.

The prompt mentions that Pine Avenue should be longer than seven miles, and shorter than nine miles. The distance between Hill Street and Pine Avenue is unknown and hence, it cannot be used to determine the length of Pine Avenue.

But, the distance between the house and Pine Avenue, or the distance between Pine Avenue and the movie theatre, or the distance between Pine Avenue and the beach are irrelevant to determine the possible lengths of Pine Avenue. Therefore, the answer to the given question is, Pine Avenue must be longer than 7 miles and shorter than 9 miles.

For more questions on: miles

https://brainly.com/question/29806974

#SPJ8

The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.

To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (nCk) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the number of trials

k is the number of desired successes

p is the probability of success in a single trial

(1-p) is the probability of failure in a single trial

In this case, we have:

n = 5 (number of days in the week)

k = 5 (desired number of rainy days)

p = 0.36 (probability of rain each day)

Using the formula, we can calculate the probability:

P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)

Simplifying the equation:

P(X = 5) = 1 * 0.36^5 * 0.64^0

P(X = 5) ≈ 0.036

Learn more about probability here:

https://brainly.com/question/30842435

#SPJ11

Suspension bridges are significant structures that are supported by cables that are attached to towers. To support the deck of the bridge, the cables are placed at a higher elevation than the deck.

A cable of a suspension bridge has its supports at the same level, separated by a distance of 500 feet. The support structures are 100 feet taller than the lowest point of the cable. If the cable is of uniform density and has negligible weight,To determine the slope of the cable on the supports, we need to find the equation for the parabola formed by the cable.

The equation of the parabola will help us find the slope of the cable on the supports.Let the center of the cable be at the origin. We will use x and y as the variables. We know that the supports are separated by a distance of 500 feet. Therefore, the maximum height of the cable is 100 feet.

We will use the vertex form of the equation of a parabola to model the shape of the cable:y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. Since the vertex is at the origin, the equation of the parabola becomes:y = ax^2The highest point of the parabola is at (250, 100). Therefore, we can write:a(250)^2 = 100

a = 100/(250)^2The equation of the cable is:

y = (1/62500)x^2To find the slope of the cable on the supports, we need to differentiate the equation:

y' = (2/62500)xThe slope of the cable on the supports is:

y'(250) = (2/62500) x 250

= 1/625Therefore, the slope of the cable on the supports is 1/625.

To know more about structures visit:
https://brainly.com/question/33100618

#SPJ11

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

To know more about area click here

brainly.com/question/13194650

#SPJ11

Using graph to solve the system of linear equations, the value of x is -2 and y is 5.5

In the given problem, we are asked to find the solution to the simultaneous linear equations;

y = 1/4x + 6

y = -2x + 3/2

In the problem, we are asked to plot this and use the solution from the graph to determine the value of x and y.

The solution of system of linear equation is determine from the point of intersection of the the two linear lines.

Plotting the linear equations on a graphing calculator;

From the graph attached below, the point of intersection is at (-2, 5.5) and this shows the value of x is -2 and y is 5.5

Learn more on system of linear equations here;

https://brainly.com/question/13729904

#SPJ1

D. 7

Hope this helps! :)

______________

Answer:

The cube root of 343 is 7.

the division of 80 by 721.60 will be 0.11086.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, divide 80 by 721.60

division:

=>80 by 721.60

=> 50/451

=> 0.11086

therefore, the division of 80 by 721.60 will be 0.11086.

Learn more about Mathematical operations here:

https://brainly.com/question/8959976

#SPJ1

The expression for the rectangular prism's base area is 11x² + 7x + 5.

Given;

The volume of rectangular prism = 33x³ + 43x² + 29x + 10

The height of the prism = 3x + 2

We know that, the area of the prism = length * breadth

where as, volume = length * breadth * height

So, area = volume / height

Using synthetic division, dividing volume by height, we get;

3x+2  ) 33x³ + 43x² + 29x + 10 ( 11x² + 7x + 5

            33x3 + 22x2

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

                        21x² + 29x

                        21x² + 14x

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

                                  15x + 10

                                   15x + 10

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

                                       x

Quotient is 11x² + 7x + 5 which is equal to expression for the area of the base of the rectangular prism.

To learn more about synthetic division click here:

brainly.com/question/28824872

#SPJ4

The range of probability is [0, 1]

Probability is an area of mathematics that deals with the occurrence of a random event. There are four varieties of probability: classical, empirical, subjective, and axiomatic. Since probability and possibility are equivalent, you may argue that it refers to the likelihood that a specific occurrence will occur.

Probability of an event is always greater than or equal to 0 & less than or equal to 1.

So, the range of probability is [0, 1]

Here,

a. minus−​1.5, because probability values cannot be less than 0. CORRECT

b. ​0.0002, because probability values must be rounded to two decimal places. WRONG 0.0002 is greater than 0 & less than 1

c. start fraction 64 over 25 end fraction 64 25​, because probability values cannot be greater than 1. CORRECT

d. ​33.3%, this is because probability values cannot be greater than 1. WRONG 33.3 % is less than 1 & greater than 0.

e. start fraction 320 over 1058 end fraction 320 1058​, because probability values cannot be in fraction form. f. ​0, because probability values must be greater than 0.WRONG 33.3 % Probability values can be written in fraction, But it's decimal value of fraction should be greater than 0 & less than 1.

To know more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

Answer:

D

Step-by-step explanation:

The correct answer should have a 63%.

It's probably D. The terminology is a little confusing.

The equation of the output looks like:

-7.611 + .186(x) = y

x --> Arm span

y --> Foot span

The linear relationship is formed with the armspan.

Answer:

(x,y,z)= (0,1,0)

Step-by-step explanation:

Explanation:

Given

[1]XXXx=−1−t

[2]XXXy=2+t

[3]XXXz=1+t

[4]XXX3x+y+3z=1

Substitute the expressions for x,y,z from [1], [2], and [3] into [4]

[5]XXX3(−1−t)+2+t+3(1+t)=1

Simplify [5]

[6]XXX2+t=1

[7]XXXt=−1

(x,y,z)=(−1−(−1),2+−1,1+−1)

XXXX=(0,1,0)

9514 1404 393

Answer:

  C  8 in

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Solving for h gives ...

  h = 2A/b

Filling in the given values, we find h to be ...

  h = 2(36 in²)/(9 in) = 72/9 in

  h = 8 in

Answer:

D i think im not sure..

Step-by-step explanation:

Answer:

3^-3 for the first answer. The second answer is 3^7.

Step-by-step explanation:

If you multiply two numbers with the same base and exponents, the exponents are added up.

If you divide two numbers with the same base and exponents, the numerator would subtract the denominator.

So the answer to the first question is 3^-3. The second answer would be 3^7.