Which graph below correctly shows the two lines on the same axes ?

Area of roundabout = 153.86 yd2

we are given,

radius = 7 yd

Area of circle = π \(r^{2}\)

= 3.14 × 7× 7

= 153.86 yd2

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit,

To learn more about area of circle from the given link

https://brainly.com/question/14068861

#SPJ4

The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False

With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.

The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.

Read more about population parameter on:

https://brainly.com/question/28046080

#SPJ4

The independent variable and The dependent variable which will on on the x-axis is the price of a t-shirt and in y-axis is the number of t-shirts sold.

What is axis ?

An axis is a line with respect to which a curve or figure is drawn, measured, rotated, etc. The most common axes encountered are commonly the mutually perpendicular Cartesian axes in the plane or in space. The plural of "axis" is "axes," pronounced "ax-ees."

Have given,

the price of a t-shirt and the number of t-shirts sold are related.

The independent variable can be described as the variable that is used to determine the dependent variable. It is the variable that the researcher manipulates in the experiment.  

The dependent variable is the variable whose value is determined in the experiment. The value of the dependent variable depends on the independent variable.  

The independent variable and The dependent variable which will on on the x-axis is the price of a t-shirt and in y-axis is the number of t-shirts sold.

To learn more about axis visit : brainly.com/question/1699227

#SPJ4

Answer:

Step-by-step explanation:

Answer:

Combine like terms on the left side of equation first

then solve the equation normally

Step-by-step explanation:

The probability that the rack ends up in alphabetical order is 1/9! or approximately 1.46 x 10⁻⁷.

The problem involves arranging 9 CDs out of 16 in alphabetical order in a CD rack. The total number of possible ways to arrange 9 CDs out of 16 is 16 choose 9, which equals 11440. Only one of these arrangements is in alphabetical order. Therefore, the probability of randomly selecting an alphabetical order is 1/11440, which is approximately 0.0000874 or 0.00874%. This is a very small probability, indicating that it is highly unlikely that the CDs will end up in alphabetical order by chance.

Learn more about probability here: brainly.com/question/30034780

#SPJ1

Answer:

TSP RSU

Step-by-step explanation:

Hope this helps!

Answer:

yes

Step-by-step explanation:

a^2 + b^2 = c^2

so

32^2 + 60^2 = 68^2

1024 + 3600 = 4624

A is the first letter in the alphabet it makes a ahhhhhh sound and is a very usful letter and is clasafiyed as a vauve

The length of r in the right triangle is 14.01 metres.

A right triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the side r of the right triangle as follows:

using Pythagoras's theorem,

c² = a² + b²

where

Therefore,

r² = 6.71² + 12.3²

r² = 45.0241 + 151.29

r = √196.3141

r = 14.0112133664

r = 14.01 metres

learn more on triangles here: https://brainly.com/question/29009449

#SPJ1

The estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.

To estimate the monthly average daily radiation on a horizontal surface H in June in Amman, we can use the following equation:

\([H = S \times H_s \times \frac{\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H_a)}{\pi}]\)

where:

S is the solar constant, which is approximately equal to 1367 W/m(^2);

\(H(_s)\) is the average number of sunshine hours per day in Amman in June, which is given as 10 hours;

(\(\phi\)) is the latitude of the location, which for Amman is approximately 31.9 degrees North;

(\(\delta\)) is the solar declination angle, which is a function of the day of the year and can be calculated using various methods such as the one given in the answer to Q1;

\(H(_a)\) is the hour angle, which is the difference between the local solar time and solar noon, and can also be calculated using various methods such as the one given in the answer to Q1.

Substituting the given values, we get:

\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(\delta)+\cos(31.9)\cos(\delta)\cos(H_a)}{\pi}]\)

Since we are only interested in the monthly average daily radiation, we can assume an average value for the solar declination angle and the hour angle over the month of June. For simplicity, we can assume that the solar declination angle (\(\delta\)) is constant at the value it has on June 21, which is approximately 23.5 degrees North. We can also assume that the hour angle \(H(_a)\) varies linearly from -15 degrees at sunrise to +15 degrees at sunset, with an average value of 0 degrees over the day.

Substituting these values, we get:

\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(23.5)+\cos(31.9)\cos(23.5)\cos(0)}{\pi}]\)

Simplifying the equation, we get:

\([H \approx 7.35 \text{ kWh/m}^2\text{/day}]\)

Therefore, the estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.

Learn more about "average daily radiation " : https://brainly.com/question/32911494

#SPJ11

Let x be the tens and y be the ones digits.

The product of the number is then: 10x + y

The product is 1/2, so you need to multiply the product by 2 and the number:

10x + y = 2(x+y)

10x + y = 2x + 2y

Subtract 1 y from both sides

10x = 2x + y

Subtract 2x from

Both sides

8x = y

X has to be 1 , which would make y 8

The product number becomes 18

Since the product is 1/2, multiply by 2:

18 x 2 = 36

3 x 6 = 18

The answer is 36

absolute maximum =  3.033

absolute minimum = -1.846

A point where the function achieves its highest value is known as an absolute maximum point. Similar to this, an absolute minimum point is the location at which the function's maximum value is obtained.

f(x) = x\(e^{-x^{2}/50 }\) , [−2, 10]

f'(x) = x\(e^{-x^{2}/50 }\) (-2x/50) + \(e^{-x^{2}/50 }\) (1)  = 0

-2\(x^{2}\)/50 + 1 = 0

2\(x^{2}\)/50 = 1

2\(x^{2}\) = 50

\(x^{2}\) = 25

x = +5 , -5

f(-2) = -2 \(e^{-2^{2} /50}\) = -1.846

f(10) = 1.3353

f(5) = 3.033

absolute maximum = 3.033

absolute minimum = -1.846

To know more about absolute maximum and minimum click:

brainly.com/question/29449130

#SPJ4

The empirical formula of a compound is the simplest and lowest whole number ratio of the atoms of each element that makes up a compound.

To find the empirical formula from percentages, you need to first calculate the mass of each element present in the compound, based on the percentage of each element. Once you have the mass of each element, divide each mass by the atomic mass of that element to get the number of moles of each element. Then divide each mole by the smallest number of moles to get the mole ratio. This ratio is the empirical formula for the compound.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

The x and y components of the resultant force are

Fr_x = 800 * cos(35º) + 600 * cos(25º) + 850 * (5/13),

Fr_y = 800 * sin(35º) + 600 * sin(25º) + 850 * (12/13)

To find the x and y components of the resultant force, we can use the given magnitudes and angles of the forces.

The x-component of the resultant force (Fr_x) can be calculated by summing the x-components of the individual forces:

Fr_x = Fa_x + Fb_x + Fc_x

Fa_x = Fa * cos(θa) = 800 lbs * cos(35º)

Fb_x = Fb * cos(θb) = 600 lbs * cos(25º)

Fc_x = Fc * (x/h) = 850 lbs * (5/13)

Fr_x = 800 * cos(35º) + 600 * cos(25º) + 850 * (5/13)

Similarly, the y-component of the resultant force (Fr_y) can be calculated by summing the y-components of the individual forces:

Fr_y = Fa_y + Fb_y + Fc_y

Fa_y = Fa * sin(θa) = 800 lbs * sin(35º)

Fb_y = Fb * sin(θb) = 600 lbs * sin(25º)

Fc_y = Fc * (y/h) = 850 lbs * (12/13)

Fr_y = 800 * sin(35º) + 600 * sin(25º) + 850 * (12/13)

Therefore, the x-component and y-component of the resultant force Fr are determined by the above calculations.

To know more about resultant force refer here:

https://brainly.com/question/23187039

#SPJ11

The Correct option is option (A) . Using the minimization , the dimensions of rectangular garden are 30 feet and 15 feet .

We have given that ,

Area of rectangular garden (A) = 450 sq. feet

we trying to minimize L, the length of fencing. Since , one side of the fenced area is covered by the barn, we have got to make two sides perpendicular to the barn plus one side parallel to the barn.

Suppose the length of the perpendicular side be x and the length of the parallel side be y.

Thus, A = x × y = 450 sq. feet --(1)

x + x + y = L --(2)

from (1) , y = 450/x

putting this value in equation (2) we get,

2x + 450/x = L

Now , minimize the L by taking its first derivative with respect to t and then put dL / dt = 0

dL /dx = 2 - 450/x^2

2- 450/x^2 = 0 => 450/x^2 = 2

=> x^2 = 450/2 = 225

taking square root both sides,

=> x = +-√225 = 15 or -15

but sides of any geometry never be negative

so, x = 15 put this x in equation (2)

=> y = 450/15 = 30

Hence , the dimensions of rectangular garden are (15, 30).

To learn more about Minimization, refer:

https://brainly.com/question/13984172

#SPJ4

Answer:

12 years

Step-by-step explanation:

Given that

P = 5,600 e^0.0591

Reaching amount = 11,200

time period = t

We need to find out the time period i.e. t

So,

11,200 =  5,600 e^0.0591t

2 =  e^0.0591t

Now take the log on both the sides

ln2 = 0.0591t ln

t = ln2 ÷ 0.059

= 0.693147÷ 0.059

= 11.748

= 12 years

Answer:

BDA=52 angles at the centre is equal to 2× angles at circumference

A person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1, this means that the game is not fair, based on the expected value

We can see that the expected value of the game can be found by multiplying each payout by its probability of occurring and then summing up the results:Expected value = (0.2)($1) + (0.2)($1) + (0.2)($2) + (0.2)($3) + (0.2)($4) + (0.2)($0) + (0.2)($0)Expected value = $0.40 Since the expected value of the game is positive, it means that, over the long run, players are expected to make money on average. This means that the game is not fair.

See more about expected value at: https://brainly.com/question/14723169

#SPJ11

Mr. Wilkinson needs more than 11 years to get more than 800 profit.

Compound interest refers to the interest added to a loan or deposit. It is the concept that we use every day the most regularly. Compound interest is calculated for an amount based on both the principal and cumulative interest. The significant distinction between compound and simple interest is this.

The profit is 3000 × \((1+(2.2/100))^t\) - 3000

= 3000 [\((1+ 0.022)^ t\) -1]

The given profit is 800.

So,

800 = 3000 [\((1+ 0.22)^ t\) -1]

\(1.022^t\) – 1 = 800/3000

\(1.022^t\) = 8/30 + 1

\(1.022^t\)  = 38/30

T = \(log_{1.022}\) (98/30)

= 10.86

So, he needs more than 11 years to get more than 800 profit.

To know more about compound interest, visit:

https://brainly.com/question/13155407

#SPJ1

The probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.

In the given question we have to find the probability of first tile is less than 15 and the second tile is even or greater than 25.

Tiles numbered 1 through 20 are placed in a box.

Tiles numbered 11 through 30 are placed in a second box.

One tile is randomly drawn from each box.

Now finding the probability of first tile is less than 15.

Since in first box tile is numbered as 1 to 20.

So the outcomes of less than 15 = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

So favourable outcome = 14

Total number of tile = 20

So the probability = 14/20 = 70%

Now finding the probability of second tile is even or greater than 25.

Since in second box tile is numbered as 11 to 30.

So the outcomes of even or greater than 25 = 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 29, 30

So favourable outcome = 12

Total number of tile = 20

So the probability = 12/20 = 60%

Hence, the probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.

To learn more about probability link is here

brainly.com/question/11234923

#SPJ4

The right question

"Tiles numbered 1 through 20 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. One tile is randomly drawn from each box. Find each probability. The first tile is less than 15 and the second tile is even or greater than 25."

Answer:

2,4,5

Step-by-step explanation:

Answer:

y = 64

Step-by-step explanation:

y/8 + 12 = 20

y/8 = 20 - 12

y/8 = 8

y = 8 * 8

y = 64

-Chetan K

The surface area of the tissue box is 240 cm².

Option B is the correct answer.

We have,

The tissue box can be considered a triangular prism.

The formula for the surface area of the tissue box can be made as:

The perimeter of the triangular base x height of the box.

Now,

Perimeter

= 8 + 6 + 10

= 24 cm

And,

The surface area of the tissue box.

= 24 x 10

= 240 cm²

Thus,

The surface area of the tissue box is240 cm².

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

Answer:

8 weeks per painting

Step-by-step explanation:

1/4 of a painting in 2 weeks

Multiply everything x 4

4/4 or 1 painting in 8 weeks

Answer: its c

Step-by-step explanation:

took the quiz

Answer:

Step-by-step explanation:

its C I got yall

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Answer:

125

Step-by-step explanation:

131.25   105

of      100

Cross multiply process

131.25x100=108x?

131.25x100=13125

13125=108?

13125/108=?

125=?

:)

Answer:

the answer should be D

Step-by-step explanation:

because she took the enital 7,000 then she started taking 300 a month and x equals the amount of months

We can use the properties of the normal distribution to calculate the probability that the total volume shipped is more than 100,000 ft3.

Assuming that the xis are independent with each one having a normal distribution, the total volume shipped can be modeled as the sum of these individual normal distributions. Since the sum of independent normal distributions is also a normal distribution, we can use the properties of the normal distribution to calculate the probability that the total volume shipped is more than 100,000 ft3.

To do this, we need to find the mean and variance of the sum of the xis. The mean of the sum is simply the sum of the means of the individual distributions, while the variance of the sum is the sum of the variances of the individual distributions.

Once we have the mean and variance of the sum, we can standardize the distribution and use a normal probability table or calculator to find the probability that the total volume shipped is more than 100,000 ft3.

In general, the probability of the sum of independent normal distributions exceeding a certain value depends on the number of distributions being summed, their means and variances, and the level of significance chosen for the test. Therefore, we need to specify these parameters to calculate the desired probability.

Learn more about probability brainly.com/question/30034780

#SPJ11