Points L, M, and N lie on the surface of a sphere with
its center at point O. Point T lies in the interior of the
sphere. Which segment represents a chord of the
sphere?

A: OT
B: LM
C: LT
D: ON​

The probability that no one gets a hole on the sixth hole is given as follows:

0.9534 = 95.34%.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure.

The mass probability formula is given as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are listed as follows:

The parameter values for this problem are given as follows:

The holes are independent, hence the probability of no one getting a hole in the sixth hole is P(X = 0), thus:

P(X = 0) = (1 - 1/3709)^175

P(X = 0) = 0.9534 = 95.34%.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Answer:

A. If the diameter is 6 cm, then the radius is half of that:

radius = 6 cm / 2 = 3 cm

B. The formula for the surface area of a cylinder is:

S.A. = 2πr^2 + 2πrh

C. Plugging in the values for r, h, and π:

S.A. = 2π(3 cm)^2 + 2π(3 cm)(12 cm)

S.A. = 2π(9 cm^2) + 2π(36 cm^2)

S.A. = 18π cm^2 + 72π cm^2

S.A. = 90π cm^2

Therefore, the surface area of the soup can is 90π square centimeters. This can be simplified to approximately 282.74 square centimeters by using the value 3.14 for π.

If the screen door spring has a spring constant of 188 N/m, then the force it exert is 54.9 N .

The force exerted by the screen door spring can be calculated using Hooke's law,

The Hooke's Law states that the force exerted by a spring is directly proportional to its spring constant and the amount it is stretched.

The formula for "Hooke's-law" is ⇒ F = kx

Where F is = force exerted by spring, k is = spring constant, and x is = amount spring is stretched.

In this case , the spring constant(k) = 188 , the distance stretched(x) = 292m ;

Substituting the values,

We get,

⇒ F = (188 N/m)(0.292 m)

⇒ F = 54.896 N

⇒ F ≈ 54.9N

Therefore, The force exerted by the screen door spring is approximately 54.9 N.

Learn more about Force here

https://brainly.com/question/16262362

#SPJ4

Answer:

y = - [tex]\frac{5}{2}[/tex] x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 9) and (x₂, y₂ ) = (2, - 6) ← 2 ordered pairs from the table

m = [tex]\frac{-6-9}{2-(-4)}[/tex] = [tex]\frac{-15}{2+4}[/tex] = [tex]\frac{-15}{6}[/tex] = - [tex]\frac{5}{2}[/tex]

the line crosses the y- axis at point (0, - 1 ), ordered pair from table, then

c = - 1

y = - [tex]\frac{5}{2}[/tex] x - 1 ← equation of line

The difference in the loudness of sound when the two teams score is about 14.77 decibels

Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

We can use the fact that the loudness of sound is measured in decibels (dB) and that the dB scale is logarithmic.

Let's assume that the loudness of the sound when the away team scores is x decibels. Then the loudness of the sound when the home team scores a touchdown is 30 times as great, which means it is 30x decibels.

The difference in loudness between the two scenarios is given by the difference in decibels:

difference in decibels = 10 log (30x/x) = 10 log 30 = 14.77

Therefore, the difference in the loudness of sound when the two teams score is about 14.77 decibels

Learn more about Sound intensity here : brainly.com/question/16613286

#SPJ1

The cost per square inch of the apple pie is $ 0.16.

Given that,

The diameter of the pie = 10 in

The radius of the pie = 10/2

                             = 5 inches.

Area of the pie = [tex]\pi r^{2}[/tex]

                         =  3.14 × 5²

                         = 3.14 × 25

                          = 78.5 in²

The cost of the apple pie = $ 12.85.

Therefore, the cost per square inch of the pie = 12.85 ÷ 78.5

                                                                             = $ 0.16.

Hence, the cost per square inch of the apple pie is $ 0.16.

To learn more about the circle, refer to:

https://brainly.com/question/28391204

#SPJ4

Therefore , the solution of the given problem of area comes out to be

A = 16 is the equation that accurately depicts how to calculate the sector's area.

Its total size can be determined by figuring out how much space is required to completely cover the outside. The immediate surroundings are taken into consideration when calculating the surface of a trapezoidal shape. The total measurements of something are determined by its surface area. A cuboid's capacity for internal water is determined by the sum of the borders that link all of it's six rectangle edges.

Here,

The formula for calculating a circle's sector's area is:

=> A = (θ/360) x πr²

where A is the sector's area, is its central angle measurement, and r is the circle's radius.

Since the radius is 8 cm and the central angle is 90 degrees in this instance, we can reduce by plugging in these values:

=> A = (90/360) x π(8²)

=>  A = (1/4) x π(64)

=>  A = π(16)

=>  A = 16π

A = 16 is the equation that accurately depicts how to calculate the sector's area.

The answer will be given in radius squared units, in this case, cm2.

To know more about area visit:

https://brainly.com/question/2835293

#SPJ1

Option D. The correct calculation of the area of the sector is      [tex]A=(\frac{90}{360}) * (\pi 8^{2} )[/tex]

An area of the sector is the portion of the area of a circle that is enclosed by two radii and an arc. The area of a sector can be found using the formula:

A = (θ/360)πr²

where A is the area of the sector, θ is the central angle of the sector (in degrees), π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Given, the radius is 8 cm and the central angle is 90° in this instance, put all these values:

[tex]A=(\frac{90}{360}) * \pi (8^{2} )[/tex]

or we can write down, [tex]A=(\frac{90}{360}) * (\pi 8^{2} )[/tex]

To know more about area, visit:

brainly.com/question/2835293

#SPJ1

The height, in meters, where the pumpkin lands on the hill is 4.9 meters.The equation for the height of the hill is y = 0.9x.

This equation can be rearranged to solve for x, giving x = y/0.9. The equation for the height of the pumpkin is y = -0.1x² + 4.9x. Substituting the x value from the previous equation into the equation for the height of the pumpkin gives y = -0.1(y/0.9)² + 4.9(y/0.9). Simplifying this equation gives y = 4.9, which is the height, in meters, where the pumpkin lands on the hill.

The equation for the height of the hill is y = 0.9x, which describes the incline of the hill. This equation can be rearranged to solve for x, giving x = y/0.9. This equation can then be used to substitute into the equation for the height of the pumpkin, which is y = -0.1x² + 4.9x. When the x value from the previous equation is substituted into the equation for the height of the pumpkin, the equation simplifies to y = -0.1(y/0.9)² + 4.9(y/0.9). Simplifying further gives y = 4.9, which is the height, in meters, where the pumpkin lands on the hill. This can be verified by substituting 4.9 for y in the equation for the height of the hill, which gives x = 4.9/0.9 = 5.4. This value can be substituted into the equation for the height of the pumpkin, which gives y = -0.1(5.4)² + 4.9(5.4) = 4.9, verifying the result.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:6 feet

Step-by-step explanation:

The formula for the area of a parallelogram is:

Area = base x height

We know that the area is 60 square feet and the height is 10 feet, so we can plug these values into the formula and solve for the base:

60 square feet = base x 10 feet

Dividing both sides by 10 feet gives:

6 feet = base

Answer:  C is our answer.

The first thing that we can do is divide the known number of books into the price that they sold for.

Our equation would be 89.25 divided by 7, which is 12.75. This means that one single book is 12.75.  We can look at the charts and point out where one book is 12.75, that is both A and D. While Chart B and C have 7 books for 89.25 which we know is correct.

Lets look at chart D.The next part we can solve is the price of 2 books. 12.75 x 2 is 25.50,  so we can mark question B incorrect since two books are 25.50 not 13.75.Chart B is incorrect because 14 books is double 7, so it should be twice as much as 89.25, which we should know 90 dollars is not two times as much 80. Chart A is incorrect because 11 x 12.75 is 140.25, while the chart reads as 22.75.

Now lets look at chart C. Next we can solve the price of 8 books. 8 x 12.75 is 102. Then we solve  for 9 books. 12.75 x 9 is 114.75, which means that C is correct.

I hope this helped & Good Luck <3!!

Optiοn B. is cοrrect, the result οf substituting fοr y in the given equatiοns is x - 3 =x² + 2x - 4.

Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value fοr the variable.

Tο substitute fοr y in the secοnd equatiοn, we can replace y with its equivalent expressiοn in terms οf x frοm the first equatiοn, which gives us:

x - 3 = x² + 2x - 4

This is option B.

Optiοn A is incοrrect because it substitutes y fοr its expressiοn in terms οf x in the wrοng equatiοn.

Optiοn C is incοrrect because it subtracts (x-3) instead οf adding it tο the secοnd equatiοn.

Optiοn D is incοrrect because it sets the expressiοn fοr y in the first equatiοn equal tο x² instead οf the expressiοn fοr y in the secοnd equatiοn.

Hence, οptiοn B. is cοrrect, the result οf substituting fοr y in the given equatiοns is x - 3 = x² + 2x - 4.

To learn more about equivalent expression visit:

https://brainly.com/question/2972832

#SPJ1

Complete question:

What is result of substituting for y in the bottom equation?

y = x – 3,

y = x² + 2x – 4

A. y=(x-3)²+2(x-3)-4

B. x-3=x²+2x-4

C. y=x²+2x-4-(x-3)

D. (x-3)=x²

Answer:

J. 56

Step-by-step explanation:

The picture in this question can be a little deceiving. Each rectangular glass pane is 3 by 10 inches. This means that the picture of the 4 panes overlapping, leaves the center square open. The open area has your inner edges. The question asks for the sum of the inner and outer edges.

Every pane is 10 inches long, so the out perimeter of the figure is 40 inches because the figure has four sides. The rectangles overlap, creating 3 by 3 inch square. 3 inches off either side of a pane leaves 4 inches as the length for the edge of the inner square. Therefore, the perimeter of the inner square is 16 inches.

Outer Perimeter + Inner Perimeter = 40 + 16 = 56 inches

Therefore , the solution of the given problem of standard deviation comes out to be he average difference between the population mean and the sample mean is 6.

Variance is a measure of variation used in statistics. The average difference between the gathering and the mean is calculated using the photo of that figure. By comparing each number to the mean, it incorporates those data points into the calculations on their own, in contrast to many other legitimate measures of variable. Variations could result from deliberate errors, unrealistic expectations, or changing economic or commercial circumstances.

Here,

For a group of n = 4, the standard error of the mean (SEM) is as follows:

=> SEM = α/√(n)

=> 24/√(4) = 12

Therefore, for n = 4 scores drawn at random from the population, the average difference between the population mean and the sample mean is 12.

b. The SEM for a group of n = 9 is:

=> α/√(n) = 24/√(9)

=> 8; SEM = α

Therefore, for n = 9 scores drawn at random from the population, the average difference between the population mean and the sample mean is 8.

c. The SEM for a sample of 16 is as follows:

=> α / √(n) = 24 / √(16) = 6;

=>  SEM =α

Therefore, for n = 16 scores drawn at random from the population, the average difference between the population mean and the sample mean is 6.

To know more about standard deviation visit :-

brainly.com/question/13673183

#SPJ1

Absolutely, Jada's response is right. A square is a quadrilateral with four equal-length sides. A quadrilateral is a square if all four sides measure 5 cm.

Unfortunately, there is no alternative form Jada could have drawn that meets the requirement of all four sides measuring 5 cm. Every other quadrilateral with four equal-length sides is likewise a square. If Jada had drawn a quadrilateral with one or more sides of varying lengths, the specified criterion would not have been met. As a result, the only design Jada could have sketched that meets the requirement of having all four sides measure 5 cm is a square. It is worthwhile to investigate the properties of quadrilaterals and how they connect to the conditions presented in the problem. A quadrilateral is a four-sided polygon. Quadrilaterals come in a variety of shapes, including squares, rectangles, parallelograms, trapezoids, and kites. Certain quadrilaterals have unique qualities, such as opposing sides that are parallel or all angles that are right angles. The criterion in the provided problem is that all four sides of the quadrilateral measure 5 cm.

learn more about quadrilateral  here:

https://brainly.com/question/29934440

#SPJ4

Answer:

plot the point at 1

Step-by-step explanation:

Answer:The quantity of grocer of price $1.40 is 45 pounds

The quantity of grocer of price 40 cents is 55 pounds

Step-by-step explanation:

Let The quantity of one grocer = x pound

Let The quantity of other grocer = y pound

The selling price of x grocer = 40 cents per pound

The selling price of y grocer = $ 1.40 per pound = 1.40 × 100 = 140 cents

Total quantity = 100 pounds

Total price of both grocer = 85 cents

According to question

x + y = 100                        .........A

And

40 × x + 140 y = 85 × 100

Or, 40 x + 140 y = 8500         ........B

Solving eq A and eq b

(40 x + 140 y) - 40 × ( x + y ) = 8500 - 40 × 100

Or, (40 x - 40 x) + (140 y - 40 y) = 8500 - 4000

or, 0 + 100 y = 4500

∴  y =

i.e  y = 45 pounds

So, The quantity of grocer of price $1.40 = y = 45 pounds

Again

Put the vaue of y in eq A

x + y = 100

i.e x = 100 - y

or, x = 100 - 45

∴   x = 55 pounds

So, The quantity of grocer of price 40 cents = x = 55 pounds

Hence, The quantity of grocer of price $1.40 is 45 pounds

And The quantity of grocer of price 40 cents is 55 pounds  Answer

The mass of the sheet of metal is 200g. This can also be expressed in other units, such as 0.2 kg or 0.002 tonnes.

The mass of a sheet of metal is directly related to its area and thickness. This means that the mass of a sheet of metal is proportional to the product of its area and its thickness. Mathematically, this can be expressed as the formula M = kAT, where M is the mass, k is a constant, A is the area and T is the thickness.In the given example of a sheet of metal with an area of 250 cm and a thickness of 1mm, we can calculate the mass of the sheet by substituting the given values into the formula: M = k(250)(1) = 200g. The constant k in this example is equal to 0.8 g/cm*mm.Therefore, the mass of the sheet of metal is 200g. This can also be expressed in other units, such as 0.2 kg or 0.002 tonnes.

Learn more about mass here:

https://brainly.com/question/941818

#SPJ4

What is the mass of a sheet of metal with an area of 250cm and a thickness of 1mm?

The magnitude of the earthquake with an amplitude of 100,000 is 2 on the Richter scale

Magnitude: The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. It is typically determined using a logarithmic scale called the Richter scale or other similar scales like the moment magnitude scale (MMS), surface wave magnitude (Ms), or body wave magnitude (Mb). The Richter scale is based on the amplitude of the largest seismic wave recorded on a seismographs, and each increase of one unit on the scale corresponds to a ten-fold increase in the amplitude of the seismic waves and a 32-fold increase in the amount of energy released.

Amplitude: The amplitude of an earthquake is the size of the seismic waves that are generated by the earthquake. It is measured in microns (millionths of a meter) and is recorded on a seismographs. The amplitude of seismic waves can vary greatly depending on the distance from the earthquake's epicenter and the geological structure of the surrounding area.

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake, and is typically determined using a logarithmic scale called the Richter scale.

The formula for calculating the magnitude of an earthquake based on its amplitude is:

Magnitude = log10 (Amplitude) - 3

where the amplitude is measured in microns.

Assuming the amplitude of the earthquake is 100,000 microns, we can calculate its magnitude as:

Magnitude = log10 (100,000) - 3

Magnitude = 5 - 3

Magnitude = 2

Therefore, the magnitude of the earthquake with an amplitude of 100,000 is 2 on the Richter scale.

Learn more about  Seismographs here

https://brainly.com/question/13962902

#SPJ1

The equation of the given graph is: y = cosine (x + pi)

By convention, the cosine function like most other trigonometric functions has a period of 2π.

Since, the parental function is y = cos x, which has y-intercept at y = 1, and x-intercept at π/2.

From observation, the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2.

This can be interpreted to mean that the function has been translated leftwards π units.

Ultimately, the function that belongs to this graph is; y = cosine (x + pi)

Read more on cosine graphs:

https://brainly.com/question/17075439

Answer: D. y = cosine (x + pi)

Step-by-step explanation: