3,840 ounces equals how much pounds​

The mean and standard deviation of a normal population are called parameters, and the mean and standard deviation of a random sample in the population are called statistics.

Normally distributed data:

In a normal distribution, data is distributed symmetrically without asymmetry the data are probabilities whose distribution is symmetrical with respect to the mean.

The normal distribution is symmetric, unimodal and asymptotic, and the mean, median and mode are all equal.

In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values ​​tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wide range.

For solving the problems are :

The average of the data is the average of the given data. The standard deviation of the data is half the difference between the highest value in the data set and the mean.

These numbers that summarize information about a sample are called statistics.

The numbers that summarize information about a population are called parameters.

Numbers that summarize information about a sample are called statistics.

Learn more about Mean:

https://brainly.com/question/31101410

#SPJ4

Answer:

(B) Parameters

(A) Statistics

Step-by-step explanation:

egg 2023

Answer:

D. \(2\sqrt{15}\)

Step-by-step explanation:

\(\sqrt{60} = \sqrt{2*2*3*5} = 2\sqrt{15}\)

Answer:

D

Step-by-step explanation:

It's hard to explain, if you look it up, there are some helpful videos on simplifying radicals.

The expected mass of the sample in the year of 2021 is given as follows:

9 mg.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

The initial mass was of 130 mg, hence the parameter a is given as follows:

a = 130.

In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:

b² = 80/130

b = square root(80/130)

b = 0.78446454055.

This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:

y = 130(0.78446454055)^x.

2021 is 11 years after 2010, hence the expected mass is obtained as follows:

y = 130(0.78446454055)^11

y = 9 mg.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Given a rectangular peice of paper

Length = 34 cm

Width = 16 cm

So, the area of the rectangle = 34 x 16 = 544 cm²

Two semicircles cut out of it

The diameter of the circle = d = 16 cm

So, the radius of the circle = r = d/2 = 8 cm

The area of the two semicircles = area of the complete circle

so, the area of the circle = πr² = 3.14 x 8² = 200.96 cm²

So, the area of the remaining paper = area of the rectangle - area of the circle

= 544 - 200.96 = 343.04 cm²

So, the answer will be Area = 343.04 cm²

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

To learn more about the integration visit:

brainly.com/question/30094386

#SPJ4

Answer:

0.6875

Step-by-step explanation:

11 divide 16 and you get 0.6875

Answer:

The answer is 11/16=0.6875.

To find the equation of the tangent line to the curve y = tan²(2x) at x = π/4, we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.

First, let's find the derivative of y with respect to x. Using the chain rule, we have:

dy/dx = 2tan(2x) sec²(2x).

Now, let's substitute x = π/4 into the derivative:

dy/dx = 2tan(2(π/4)) * sec²(2(π/4))

      = 2tan(π/2) * sec²(π/2)

      = 2(∞) * 1

      = ∞.

The derivative at x = π/4 is undefined, indicating that the tangent line at that point is vertical. Therefore, the equation of the tangent line is x = π/4. Note that the equation y = 2/tan(2x) (sec²(2x) + 1/2) is not the equation of the tangent line, but rather the equation of the curve itself. The tangent line, in this case, is vertical.

learn more about derivative here:

https://brainly.com/question/17035616

#SPJ11

Answer:

$1,120 each year

Step-by-step explanation:

The value of motorcycle decrease per year is $1,120.

Option D is correct.

It is given that,

The current value of motorcycle is $10,600.

And five years ago, the value of motorcycle is $ 16,200.

Now we have to find change in value of motorcycle.

            \(Change=16,200-10,600\\\\Change=\$ 5,600\)

In five year, the value of motorcycle is decrease by $ 5,600.

The value of motorcycle decrease per year \(=\frac{5600}{5}=\$ 1,120\)

Learn more about the change in value here:

https://brainly.com/question/7459025

The speed the package hits the porch when it is released by the drone is 16.9 m/s (approx)

Given data: Height of drone, h = 14.1 m

           Velocity of drone, v = 22.6 km/h

The speed the package hits the porch when it is released by the drone.

It is given that the drone is flying at a height of 14.1 m above the porch and it releases the package. The package falls freely under gravity.

               We can use the formula for the velocity of a freely falling body to calculate the speed the package hits the porch.                                  

                                                     v² = u² + 2gh

Here, g is the acceleration due to gravity and u = 0 as the package is initially at rest.

Therefore, the above formula becomes,

                                                v² = 2ghv = √(2gh)

We know that the height of the drone above the porch is h = 14.1 m.

We can convert the velocity of the drone,

                                             v = 22.6 km/h, into m/s.

                                             1 km/h = 1000 m/3600 s = 0.27778 m/sv = 22.6 km/h = 22.6 × 0.27778 m/s = 6.27708 m/s

Substituting the given values in the above formula, we get,

                                          v = √(2gh)= √(2 × 9.81 m/s² × 14.1 m)≈ 16.91 m/s

Therefore, the speed the package hits the porch when it is released by the drone is 16.9 m/s (approx)

Learn more about speed

brainly.com/question/17661499

#SPJ11

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

For more questions like interest visit the link below:

https://brainly.com/question/18096283

#SPJ11

All of the statements that could correctly describe the null hypothesis include the following:

B. We either reject or fail to reject it, we cannot say that we except it or that it is true.

D. It is developed for testing purposes.

In Statistics, hypothesis testing can be defined as a procedure based on sample evidence and probability to see if a hypothesis is a reasonable statement.

In Mathematics, a null hypothesis is denoted by the symbol H₀ and it can be defined the opposite of an alternate hypothesis (Ha). Additionally, a null hypothesis is a statistical interference technique which asserts that two (2) possibilities are the same.

Generally speaking, the characteristics of a null hypothesis include the following:

Read more on null hypothesis here: https://brainly.com/question/14913351

#SPJ1

Answer:

  4 pairs

Step-by-step explanation:

You want the number of pairs of integers (m, n) such that m > n and m² -n² = 96.

The difference of squares is factored as ...

  m² -n² = (m -n)(m +n)

In order for the difference to be 96, these factors must be factors of 96.

The prime factorization of 96 is ...

  96 = 2^5 · 3

The number of divisors of 96 is the product of the exponents of these factors, each increased by 1:

  (5+1)(1+1) = 12

That is, there are 12/2 = 6 factor pairs ab such that a<b. They are ...

   96 = 1·96 = 2·48 = 3·32 = 4·24 = 6·16 = 8·12

The values of m and n relate to the values of 'a' and 'b' by ...

  m = (a+b)/2

  n = (b-a)/2

In order for m and n to be integers, the values of 'a' and 'b' must both have the same parity. That is, they must both be even, or both be odd. This eliminates the factor pairs 1·96 and 3·32, leaving 4 (a, b) pairs, hence 4 (m, n) pairs. Possible ordered pairs are ...

  (m, n) ∈ {(25, 23), (14, 10), (11, 5), (10, 2)} . . . . . 4 pairs

Answer:

C (4,5)

Step-by-step explanation:

See the attached image.

The aspect ratio represents the ratio of the width to the height of a television.  

The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the older 25-inch \(4:3\) TV is x.

The ratio is represented as:

\(Width : Height = 4:3\)

Using Pythagoras theorem, we have:

\(Width^2 + Height^2 = 25^2\)

\((4x)^2 + (3x)^2 = 25^2\)

\(16x^2 + 9x^2 = 625\)

\(25x^2 = 625\)

Divide both sides by 25

\(x^2 = 25\)

Take positive square roots

\(x = 5\)

So, the height of the image is:

\(Height = 3x\)

\(Height = 3 \times 5 = 15\)

While the width is

\(Width = 4x = 4 \times 5 = 20\)

Hence, the height of the image is 15 inches

The height of each black bar is calculated as follows:

\(Width : Height = 2.35 : 1\)

Where

\(Width = 20\)

So, we have:

\(20 : Height = 2.35 : 1\)

Express as fraction

\(\frac{Height}{20} = \frac{1}{2.35}\)

Make Height the subject

\(Height = \frac{20}{2.35}\)

\(Height = 8.51\)

The height of each black bar at the top and at the bottom is 8.51 inches

The percentage of the screen’s area that is occupied by the image is calculated using

\(\% Screen = \frac{A_1}{A_2} \times 100\%\)

Where

\(A_1 \to\) Area of black bars

\(A_2 \to\) Area of the 25-inch 4:3 television

So, we have:

\(A_1 =8.51 \times 20 = 170.2\)

\(A_2 =15 \times 20 = 300\)

\(\% Screen = \frac{A_1}{A_2} \times 100\%\) becomes

\(\% Screen = \frac{170.2}{300} \times 100\%\)

\(\% Screen = \frac{170.2}{3} \%\)

\(\% Screen = 56.73 \%\)

Hence, the percentage of the screen area occupied is 56.73%

Consumers moved to TV with a wide screen because a TV with wide screen shows bigger pictures than smaller dimension TV screens,

When the pictures are bigger, the consumers will have a clearer view of what they're watching.

Read more about aspect ratios at:

brainly.com/question/17231027

Answer:

Step-by-step explanation:

2(x+y)=32  means :

x+y =16

Answer:

8

Step-by-step explanation:

if we start at ben having 50$, then luke would have 40. if we go down to 40, then luke would have 32$, which when added = 40+30=72.

Answer:

40 % are women

Step-by-step explanation:

20 - 12 = 8 / 20

Answer:

$ 53.33

Step-by-step explanation:

x = original price

.75 * x = 40

x = 40 / .75 = 53.33

Let original price be x

Hence

(B) On a coordinate plane, two lines are graphed. The growing line's Y intercept is - 6, whereas the decreasing line's Y intercept is zero. the place where the lines converge ( 1, - 5).

Consider the system of equations,

y = - 5x and y = x - 6

To graph the equation y = - 5x we need to determine the points on the line.

When x = 0,

y = 0

When x = 1,

y = - 5

When x = 2.

y = - 5(2) = - 10

When x = - 1,

y = - 5( - 1 ) = 5

When x = - 2,

y = - 5 ( - 2 ) = 10

So, the point on the graph y = - 5x are ( 0, 0 ), ( 1, - 5 ), ( 2, - 10), ( - 1, 5 ), and ( - 2, 10 ).

Consider the equation,

y = x - 6

When x = 0,

y = - 6

When x = 1,

y = 1 - 6 = - 5

When x = 2,

y = 2 - 6 = - 4

When x = - 1,

y = - 1 - 6 = - 7

When x = - 2,

y = - 2 - 6 = - 8

So, the points are ( 0, - 6 ), ( 1, - 5 ), ( 2, - 4 ), ( - 1, - 7), and ( - 2, - 8).

So, the two lines intersect each other at ( 1, - 5 ).

The increasing line's y-intercept is at - 6 and the decreasing line's y-intercept is at 0.

Learn more about y-intercept here:

brainly.com/question/25722412

#SPJ9

To find the derivative of the function g(x) = ∫(x-3) e^t^2 - t dt using the fundamental theorem of calculus, we can apply Part 1 of the theorem, which states that if the upper limit of integration in the integral is a function of x, then we can differentiate the integral with respect to x by evaluating the integrand at the upper limit and multiplying by the derivative of the upper limit function.

Let's denote the upper limit of integration as u(x) = x - 3.

Now, we can differentiate g(x) with respect to x:

g'(x) = d/dx ∫(x-3) e^t^2 - t dt

According to the fundamental theorem of calculus (Part 1), we have:

g'(x) = [e^(u(x)^2) - u(x)] * d/dx (x - 3)

Now, let's evaluate the derivative of the upper limit function and substitute it into the equation:

g'(x) = [e^((x-3)^2) - (x-3)] * (1)

Simplifying the expression, we have:

g'(x) = e^((x-3)^2) - (x-3)

Therefore, the derivative of the function g(x) is g'(x) = e^((x-3)^2) - (x-3).

learn more about derivative here

https://brainly.com/question/29144258

#SPJ11

function:

number of tiles: 12b+38

Where;

b=number of bundles

150+30 = 12b+38

Solve for b:

150+30 = 12b+38

180 = 12b+38

180-38 =12b

142 =12b

142/12 =b

11.8 =b

12 bundles

The rock that Angela found is likely a sedimentary rock, formed from the accumulation and solidification of sediment, such as shells and pebbles, in a marine environment.

The type of rock that Angela found is likely a sedimentary rock. Sedimentary rocks are formed from the accumulation and solidification of sediment, such as sand, silt, and clay. The shells and pebbles embedded in the rock suggest that it was formed from the buildup of material in a marine environment, such as the ocean or a lake. The shells and pebbles were once separate materials, but over time, they were compacted and cemented together to form the rock.

Sedimentary rocks are typically layered, which is a characteristic formed from the accumulation of sediment over time. The shells and pebbles in the rock sample could be evidence of different layers of sediment that were compacted and cemented together.

It is also possible that the rock is a conglomerate, which is a type of sedimentary rock composed of rounded pebbles and cobbles held together by a finer-grained matrix. Conglomerates form in environments where high-energy water, such as rivers or streams, carry large rocks and sediment and deposit them in areas of low energy, such as a delta or a floodplain.

Therefore, In conclusion, the rock that Angela found is likely a sedimentary rock, formed from the accumulation and solidification of sediment, such as shells and pebbles, in a marine environment.

To learn more about equations,

Visit; brainly.com/question/29657983

#SPJ4

The rock that Angela found is likely a sedimentary rock, formed from the accumulation and solidification of sediment, such as shells and pebbles, in a marine environment.

The type of rock that Angela found is likely a sedimentary rock. Sedimentary rocks are formed from the accumulation and solidification of sediment, such as sand, silt, and clay. The shells and pebbles embedded in the rock suggest that it was formed from the buildup of material in a marine environment, such as the ocean or a lake. The shells and pebbles were once separate materials, but over time, they were compacted and cemented together to form the rock.

Sedimentary rocks are typically layered, which is a characteristic formed from the accumulation of sediment over time. The shells and pebbles in the rock sample could be evidence of different layers of sediment that were compacted and cemented together.

It is also possible that the rock is a conglomerate, which is a type of sedimentary rock composed of rounded pebbles and cobbles held together by a finer-grained matrix. Conglomerates form in environments where high-energy water, such as rivers or streams, carry large rocks and sediment and deposit them in areas of low energy, such as a delta or a floodplain.

Therefore, In conclusion, the rock that Angela found is likely a sedimentary rock, formed from the accumulation and solidification of sediment, such as shells and pebbles, in a marine environment.

To learn more about Equations

brainly.com/question/29657983

#SPJ4

Because of this, a continuous random variable cannot have a specific value with probability 1 "At some point, a curve's area under it is zero.

"A probability density function, a continuous function that characterises the distribution of the variable, is used in probability theory to model a continuous random variable. The density or likelihood of the variable having that value is represented by the height of the density function at a given position. The area under the density function spanning an interval of zero width centred at a particular value, which is equal to zero, models the chance that a continuous random variable will take on that particular value.

For more such questions on Probability

https://brainly.com/question/251701

#SPJ4

Answer: 4,000 cubic feet

Step-by-step explanation:

Volume=LWH (Length times width times height, nay base times height)

V=40*20*5

V=40*20*5= 4000

Answer: 4,000 cubic ft.

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

Let us know more about problem-solving : https://brainly.com/question/31606357.

#SPJ11

Answer:

x= c−7y/6

Step-by-step explanation:

Answer: B multiply

Step-by-step explanation:

The area of the newly exposed two-dimensional cross-section will be 141 inches².

It should be noted that when the cubic block is cut into two parts through the diagonal, Thai will create two congruent prisms.

The newly exposed cross section is a rectangle. The length of the rectangle will be 10✓2 in. The breadth will be 10 in.

The area of the new cross section will be:

= 10 × 10✓2

= 141 inches²

Learn more about area on:

https://brainly.com/question/25292087

Answer:

8 1/3 meters

Step-by-step explanation:

set up a proportion of corresponding sides:

TE/AY = JT/DY

25/AY = 18/6

cross-multiply:

18AY = 150

AY = 150/18 which is 8 1/3

Answer:

N=3

Explanation:

Look at image below