In the diagram, both circles have the same center, O. The radii of the circles are 3 and 5.
What percent of the diagram is unshaded?

In The Diagram, Both Circles Have The Same Center, O. The Radii Of The Circles Are 3 And 5.What Percent

Answers

Answer 1

The correct option for the percent of the unshaded area of the circle is (3). 64%.

What is area of a circle

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².

A = πr²

π = 3.14

Area of the bigger circle = 3.14 × 5 × 5

Area of the bigger circle = 78.5

Area of the smaller circle = 3.14 × 3 × 3

Area of the smaller circle = 28.26

Area of the unshaded region of the circle = 78.5 - 28.26

Area of the unshaded region of the circle = 50.24

percent of the unshaded region = (50.24 × 100)/78.5

percent of the unshaded region = 64%

Therefore, the percent of the unshaded area of the circle is equal to 64%.

Know more about area here:https://brainly.com/question/76387

#SPJ1


Related Questions

You moved 5 units north, 3 units west, and ended at point D.
Where did you begin?

A) Point E

B) Point A

C) Point B

D) Point D

Answers

The required point of the beginning is given as Point A. Option B is correct.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

When you move 5 units north, you increase the y-coordinate by 5. When you move 3 units west, you decrease the x-coordinate by 3. So, if you start at an unknown point and move 5 units north and 3 units west, your final position would be at a point with the coordinates (x - 3, y + 5).

Since you ended at point D, and the final coordinates are not given, we cannot determine the starting point without more information.

Learn more about coordinate here:

https://brainly.com/question/3056170

#SPJ9

When finding the quotient of 5016 divided by 11, Issac first divides 50 by 11 as shown. What value does the digit 4 have in the quotient?

Answers

Answer:

I'm not sure, but the quotient is divided, so 5016/11

Step-by-step explanation:

5016/11, and then 50/11, and find out the answer.

i need help with this

Answers

It’s A. They both are the same degree

let s(t) be the position of a particle in meters after t seconds. give the best approximate for the instantaneous velocity at 8 seconds. use this to approximate the position of the particle aftter 10 seconds.

Answers

The instantaneous velocity of the particle at 8 seconds is approximately the change in position over the change in time, or[tex]s(8+Δt) - s(8) / Δt[/tex]. If we use Δt = 0.1, then the instantaneous velocity is approximately s(8.1) - s(8) / 0.1. The approximate position of the particle after 10 seconds is then s(8) + (10-8) * (s(8.1) - s(8) / 0.1).

The instantaneous velocity of a particle is defined as the change in position over the change in time. This can be represented by the equation [tex]s(t+Δt) - s(t) / Δt[/tex]. Here, s(t) is the position of the particle at time t, and t is a small change in time. To approximate the instantaneous velocity at 8 seconds, we can use Δt = 0.1. This gives us an equation of s(8+0.1) - s(8) / 0.1. This equation gives us the velocity at 8 seconds. To approximate the position of the particle after 10 seconds, we can use the equation s(8) + (10-8) * (s(8.1) - s(8) / 0.1). This equation gives us an approximate position of the particle after 10 seconds, using the change in position over the change in time. This equation gives us a good approximation of the position of the particle after 10 seconds, given the information about the particle's position at 8 seconds.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

Minka pours cup of milk on her oatmeal each day
for 7 days. Complete the number line. Draw a point
and write the number of cups that Minka pours as a
mixed number.

Answers

The number of cups of milk that Minka pours as a mixed number is found in the attached image.

What is the total number of cups of milk that Minka pours into her oatmeal?

The total number of cups of milk that Minka pours into her oatmeal is calculated as follows:

First day = 1/4

Second day = 1/4 + 1/4

Second day = 2/4

Third day = 1/4 + 2/4

Third day = 3/4

Fourth day = 1/4 + 3/4

Fourth day = 4/4 or 1

Fifth day =  5/4 or 1/4 + 1

Fifth day = 1 1/4

Sixth day = 1/4 + 5/4

Sixth day = 1 1/2

Seventh day = 1/4 + 6/4

Seventh day = 7/4 or 1 3/4

Eight day = 1/4 + 7/4

Eight day = 8/4 or 2

The completed number line is found in the attached image

Learn more about number line at: https://brainly.com/question/28223520

#SPJ1

A yogurt stand gave out 200 free samples of frozen yogurt, one free sample per person. The three sample choices were vanilla, chocolate, or chocolate & vanilla twist. 162 people tasted the vanilla and 115 people tasted the chocolate, some of those people tasted both because they chose the chocolate and vanilla twist. How many people chose chocolate and vanilla twist?

Answers

Answer:

77

Step-by-step explanation:

(V ∪ C) = V + C - (V ∩ C)
This is the same as: (V or C) = V + C - (V and C)

(V ∪ C) represents the number of people that chose chocolate or vanilla (or possibly both)

(V ∩ C) represents the number of people that chose chocolate and vanilla twist.

(V ∪ C) = V + C - (V ∩ C) ⇔ 200 = 162 + 115 - (V ∩ C)
(V ∩ C) = 162 + 115 - 200 = 77

When the level of confidence decreases, the margin of error
a. Stays the same
b. Becomes smaller
c. Becomes larger
d. Becomes smaller or larger, depending on the sample size

Answers

When the level of confidence decreases, the margin of error c. Becomes larger

The margin of error is a gauge of how uncertain a sample-based estimate is. It is impacted by the sample size and level of confidence and shows the potential difference between the estimate and the true population value. The user selects a level of confidence, which is commonly given as a percentage, when we want to generate a confidence interval for a population parameter, such as a mean or proportion. By selecting a degree of confidence of 95%, for instance, we are expressing our confidence that the true population parameter falls inside the interval.

Based on the level of confidence, and sample size the margin of error is determined. In order to account for greater uncertainty, a higher level of confidence necessitates a bigger margin of error, whereas a lower level of confidence necessitates a smaller margin of error. As a result, the margin of error rises as the level of confidence declines, indicating a wider range of values within which the true population parameter is expected to fall.

Read more about the margin of error on:

https://brainly.com/question/10218601

#SPJ4

Identify the domain of the function shown in the graph. A. x>0 B. x is all real numbers. C. -6≤x≤6 D. 0≤x≤8 16 11 EN 198 1 3 -8 15​

Answers

The domain of the function is -6 ≤ x ≤ 6.

What is domain of a function?

The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined.

A function is defined as the relationship between input and output, Where each input has exactly one output. The inputs are the elements in the domain. The co-domain of the function is the set of output values.

From the graph given the possible input values of x lies from -6 to 6.

Hence, the domain of the function is -6 ≤ x ≤ 6.

Learn more about functions here:

https://brainly.com/question/30133157

#SPJ9

What is the solution, if any, to the inequality |3x| >=0?

Answers

Answer:

Step-by-step explanation:

The inequality |3x| >= 0 simply states that the absolute value of 3x must be greater than or equal to zero.

Since the absolute value of any number must always be non-negative, this inequality is always true. That means any real number x satisfies the inequality |3x| >= 0.

Therefore, the solution to the inequality |3x| >= 0 is x ∈ R, where R represents the set of all real numbers.

Mr. Utivich needs to buy an equal number of canvasses and paint sets for a community center art class. Each canvas costs $4 and each paint set costs $7.25. If he has $120 to spend on the art supplies, then the inequality 4x+7.25x≤120
can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of canvasses and paint sets?

Answers

Answer:

Step-by-step explanation:

23x

Use the confidence level and sample data to find a confidence interval for estimating the population mean, . Round your answer to the same number of decimal places as the sample mean.


Test scores: n = 175, x¯¯¯=81
, σ=11.8
, 98% confidence

ANSWER CHOICES

A.(77, 85)


B.(79, 83)


C.(76, 86)


D.(72, 90)

Answers

Answer:

Step-by-step explanation:

We can use the formula for a confidence interval for the population mean:

CI = x¯¯¯ ± z*(σ/sqrt(n))

where:

x¯¯¯ is the sample mean, which is 81.

σ is the population standard deviation, which is 11.8 (assuming the sample is drawn from a normally distributed population).

n is the sample size, which is 175.

z is the z-score corresponding to the desired level of confidence, which is 2.33 for a 98% confidence level.

Substituting the known values, we get:

CI = 81 ± 2.33*(11.8/sqrt(175))

Calculating this expression, we get:

CI ≈ (79, 83)

Therefore, a 98% confidence interval for the population mean is approximately (79, 83).

Therefore, the answer is (B) (79, 83).

The area of a rectangle is given by the equation 2L^2+L=45, in which L is the rectangle's length. What is the length of the rectangle?

Answers

Answer:

L = 4.5

Step-by-step explanation:

You can rewrite the equation as 2L^2 + L - 45 = 0 and then solve using the quadratic formula

L = (-1 plus or minus the sq root of 361) / 4

L = (-1 plus or minus 19) / 4

L = -5 or 4.5 but lengths can't be negative so the length is 4.5

D. Erin has two dogs, a beagle and a Great Dane. Her Great Dane weighs twice as much as the beagle plus 2 more pounds. If the Great Dane weighs 72 pounds, how much does the beagle weigh?​

Answers

The weight of the beagle D. Erin has weighs 35 pounds.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information, Let the weight of the beagle is 'x'.

So, the weight of a Great Dane is (2x + 2) pounds.

Therefore, 2x + 2 = 72.

2x = 70.

x = 35 pounds.

So,  The beagle weighs 35 pounds.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

find the rank, nullity, and bases of the range spaces and null spaces for each of the following matrices. you must show your work, or explain your thought process; a correct numerical answer is not sufficient.

Answers

If A is a matrix of order m × n, then

Rank of A + Nullity of A = Number of columns in A = n

Now, According to the question:

What is rank nullity theorem and range?

The rank-nullity theorem states that the dimension of the domain of a linear function is equal to the sum of the dimensions of its range (i.e., the set of values in the codomain that the function actually takes) and kernel (i.e., the set of values in the domain that are mapped to the zero vector in the codomain).

What is range and null space of a matrix?

The range null-space decomposition is the representation of a vector space as the direct sum of the range and the null space of a certain power of a given matrix.

Learn more about Rank and Nullity at:

https://brainly.com/question/29857274

#SPJ4

The given question is incomplete,

So, The question is:

What is rank nullity theorem and range and null space ?

difference between twice a number and another number is 8, find the minimul product between the two numbers as well as the two numbers

Answers

The minimum product between the two numbers is 0 and the two numbers are 4 and 0.

here 1st number is x

and 2nd number is y

and the difference between twice a number and another number is 8 so 2x-y = 8

minimum value of

xy

= x(2x-8)

here the eqn is x(2x-8)

and we have to find its minima

If we have a formula expressed as y= ax2+bx+c , we can find the minimum of the quadratic equation according to the following formula: The minimum value is min= c-b2 /4a.

and the minima is at x=4

here the minimum value will be 0

so either value of x=0  or x= 4;

first number is 4 and second is 0

and product of x*y = 0;

know more about minima click here;

https://brainly.com/question/15714265

#SPJ4

The average height and average weight of five students are presented in the table. Height (in cm) Weight (in kg) Student 1 172 62 Student 2 173 65 Student 3 175 64 Student 4 176 66 Student 5 177 65 The calculation for the correlation, r, for this set of five students is __________. Answer choices are rounded to the hundredths place.

Answers

The correlation coefficient for this set of five students is approximately 0.95.

How to calculate the correlation coefficient (r) for this set of data.

First we can use the formula:

r = [nΣ(xy) - ΣxΣy] / [√{nΣx^2 - (Σx)^2} √{nΣy^2 - (Σy)^2}]

Where

n is the sample size Σ represents the sum x and y are the variables of interest (in this case, height and weight)xy represents the product of x and y for each observation

Using the values given in the table, we can calculate the necessary sums and products:

n = 5

Σx = 173 + 172 + 175 + 176 + 177 = 873

Σy = 62 + 65 + 64 + 66 + 65 = 322

Σx^2 = 173^2 + 172^2 + 175^2 + 176^2 + 177^2 = 150367

Σy^2 = 62^2 + 65^2 + 64^2 + 66^2 + 65^2 = 20410

Σ(xy) = (172)(62) + (173)(65) + (175)(64) + (176)(66) + (177)(65) = 56209

Plugging these values into the formula for r, we get:

r = [5(56209) - (873)(322)] / [√{5(150367) - (873)^2} √{5(20410) - (322)^2}]

Simplifying the numerator and denominator:

r = [281045 - 280506] / [√{5(150367) - (873)^2} √{5(20410) - (322)^2}]

r = 0.95 (rounded to the hundredths place)

Therefore, the correlation coefficient for this set of five students is approximately 0.95.

Learn more about correlation coefficient here : brainly.com/question/11811889

#SPJ1

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = e^x, x = 0, y = 3Pie; about the x-axis V =

Answers

The x-axis V is if cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis is 488.061745.

V = π/2 [18π² ln[3π] - 9π² + 1]

v = 488.061744630

Volume of the region is V = 488.061745.

The area of a thin cylindrical shell with height dr and radius f(x), where f(x) is the equation of the boundary curve, needs to be integrated over the range of x in order to get the volume produced by rotating a region about the y-axis using the cylindrical shell method.

Here, the interval's lower and higher boundaries are denoted by the letters a and b, while the boundary curve's equation is written as f(x). To acquire the volume, the integration must be run across the specified time frame.

The basic idea behind the cylindrical shell method is to build a series of cylindrical shells by wrapping the area around the y-axis, measure the volume of each shell, and then add all the volumes to get the total volume.

Learn more about Volume:

https://brainly.com/question/30501297

#SPJ4

Find the quotient. 1/4 2 2/3​

Answers

3/32 Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3


To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3

b) Add the answer from the previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds.
Divide: 1/
4
: 8/
3
= 1/
4
· 3/
8
= 1 · 3/
4 · 8
= 3/
32

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/
3
is 3/
8
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step

Divide 36x5 − 44x4 − 28x3 by 4x2.

Answers

Answer:-

36*5= 180

44*4= 176

28*3= 84

4*2=8

180-176-84= (-80)

-80/8=(-10)

Step-by-step explanation: Hope this helps. Mark me brainliest :)))

In Exercises 19 and 20, choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. Give separate answers for each part. 19. x1 +hx2 = 2 4x1 + 8x2 =k 20. X1 – 3x2 = 1 2x +hx2 = k

Answers

The equations must intersect at a single point then it have the unique solution and the value of h and k are h = -1 and k = 6

A system has no solution if the equations are inconsistent, meaning there is no way to satisfy both equations simultaneously. It has a unique solution if the equations intersect at a single point, meaning there is only one set of values that satisfies both equations.

Let's take a look at the first system of equations, 19.

Equation 1: x + hx = 2

Equation 2: 4x + 8x = k

For the system to have no solution, the equations must be inconsistent. This means they must be parallel and never intersect. To achieve this, we can set the slopes of the lines to be equal but the y-intercepts different. In other words, we need to choose h and k such that:

h = -2 and k = 5

Substituting these values into the equations, we get:

Equation 1: x - 2x = 2

Equation 2: 4x + 8x = 5

You can see that these two equations do not have a common solution. They are inconsistent, meaning there is no point that satisfies both equations.

For the system to have a unique solution, the equations must intersect at a single point. This means the slopes and y-intercepts must be different. To achieve this, we can choose h and k such that:

h = -1 and k = 6

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

. Order the following numbers from least to greatest: 3√2 , √3 − 1, √19 + 1, 6,
2√10 ÷ 5 and √14.

pls someone help me

Answers

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

What is ascending order?

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Learn more about ascending order, click;

https://brainly.com/question/28762233

#SPJ9

Read the following statement: x + y = y + x. The statement demonstrates:

Answers

The given statement follows the commutative property.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x+y=y+x

The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.

Therefore, the given statement follows the commutative property.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ9

[tex]\sqrt{8} \sqrt{3}[/tex]

Answers

We can write the equivalent value of the root expression √8√3 as 2√6.

What is square root of a number?

The square root of a number is given by -

y = √x

y² = x

More specifically, we can write -

y = ± √x

Given is the root expression as -

√8√3

We can solve the expression as by finding the square roots of the numbers as -

√8√3 = √8 x √3

√8√3 = √(2 x 2 x 2) x √3

√8√3 = 2√2 x √3

√8√3 = 2√6

So, we can write that -

√8√3 = 2√6

Therefore, we can write the equivalent value of the root expression √8√3 as 2√6.

To solve more questions on expressions simplification , visit the link below -

https://brainly.com/question/6867453

#SPJ9

A pie chart should always show both the sum of all the pie pieces along with the data that comprise the pie slices.
True or False

Answers

The ideal pie charts should always show both the sum of all the pie elements along with the data that constitute the pie slices. Thus the statement in the question is true.

The circle diagram, often known as a pie chart, pie chart, or pie chart, is used to depict qualitative or discrete information. It is used to display the percentage of each variable's values' constituent parts.

To do this, divide the circle into sections proportionate to the relative frequency. Recognize the area of the circle that corresponds to each possible value of the variable as a component. It is characterized as an "exploded cake graph" because it divides the graph into its many components in order to shift one of the portions.

Learn more about Pie charts at

brainly.com/question/24207368

#SPJ4

Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other​ equation, in order to solve this​ problem? Explain your reasoning.
x=4y-9
x+4y=3

Answers

Answer:

(- 3, 1.5)

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

Given system:

x = 4y - 9x + 4y = 3

The first expression is ready to be substituted as no further operation is required to simplify it.

4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5

Find x:

x = 4*1.5 - 9x = 6 - 9x = - 3

For a project in her Geometry class, Madeline uses a mirror on the ground to measure the height of her school building. She walks a distance of 9.45 meters from the building, then places a mirror flat on the ground, marked with an X at the center. She then walks 2.75 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.55 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

Answers

Madeline's school building model is 5.33 meter.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, Madeline walks a distance of 9.45 meters from the building, then places a mirror flat on the ground, marked with an X at the center.

Use corresponding parts of similar triangles.

Madeline's eyes height/Madeline's distance from x = Buildings height/Buildings distance from X

1.55/2.75 = x/9.45

2.75x=1.55×9.45

2.75x=14.6475

x=14.6475/2.75

x=5.33

Therefore, Madeline's school building model is 5.33 meter.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ9

Are the two triangles similar? How do you know?
A.)no
B.)yes; by AA
C.)yes; by SAS
D.)yes; by SSS

Answers

Answer:

No

Step-by-step explanation:

At least two sides will have to be the same.

Of the people in Maddie's family, 11 have been to Europe and 7 have been to Australia. 5 people have been to both Europe and Australia. How many people have been to Australia but not Europe?

Answers

Applying the knowledge of sets, the number of people that have been to Australia but not Europe is calculated as: 2.

How to Use Sets to Solve Word Problems?

Let's call the number of people who have been to Europe "E" and the number of people who have been to Australia "A". We know that:

E = 11

A = 7

We also know that 5 people have been to both Europe and Australia, so they are counted in both E and A:

E = 11

A = 7

E ∩ A = 5

To find the number of people who have been to Australia but not Europe, we can use the formula:

A - (E ∩ A) = A - 5 = 7 - 5 = 2

Therefore, the 2 people have been to Australia but not Europe.

Learn more about sets on:

https://brainly.com/question/13458417

#SPJ1

Please assist,
2. Determine the scale factor of a dilation that maps Circle A onto a circle congruent to Circle B.
3. Determine the scale factor of a dilation that maps Circle C onto a circle congruent to Circle A.
4. Explain the relationship between dilations and similar figures

Answers

2. Scale factor of a dilation that maps Circle A onto a circle congruent to Circle B is: 4/3 . 3. Scale factor of a dilation that maps Circle C onto a circle congruent to Circle A is 1/2.

What is transformation?

By rotating, reflecting, or translating a shape on a coordinate plane, a transformation is made. Transformational geometry, a fresh viewpoint on geometry, was first forth by Felix Klein in the 19th century.

The majority of geometric proofs rely on how objects change. Using transformations, we can change any image in a coordinate plane. By using transformational logic, it is possible to comprehend video game graphics more fully.

From the given figure we see that:

Diameter of A = 8

Diameter of B = 6

Diameter of C= 4

2. Scale factor of a dilation that maps Circle A onto a circle congruent to Circle B is:

8/6 = 4/3

3. Scale factor of a dilation that maps Circle C onto a circle congruent to Circle A is:

4/8 = 1/2

4. When a figure is dilated the new figure is similar to the pre-image. The segments, sides, edges, of the new image is dilated by scale factor.

Learn more about transformation here:

https://brainly.com/question/5994940

#SPJ1

A die with six faces has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and the number 3 painted on one face. Assume that each face is equally likely to come up.
(a) Find the sample space for this experiment.
(b) Find P(odd number).
(c) If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces:
(i) Find the probability of the single events.
(ii) Find P(even number).

Answers

Assuming that each face is equally likely to come up.

(a) The sample space for this experiment  = {1, 2, 3}

(b) P(odd number) = 2/3

(c) If the die were loaded so that the face with the 3 on it was twice as likely to come up as each of the other five faces:

(i) The probability of the single events, P(3) = 2/7

(ii) P(even number) = 1/3

(a) The sample space for this experiment is the set of all possible outcomes, which are the numbers 1, 2, and 3 that can appear on the face of the die.

Sample space = {1, 2, 3}

(b) To find the probability of getting an odd number, we need to find the probability of getting a 1 or a 3. There are 3 faces with the number 1 and 1 face with the number 3, so there are 3 + 1 = 4 faces that result in an odd number. There are 6 faces total, so the probability of getting an odd number is 4/6 = 2/3.

P(odd number) = 2/3

(c)

(i) If the die were loaded so that the face with the 3 on it was twice as likely to come up as each of the other five faces, then each of the other five faces would have a probability of 1/7 of coming up, and the face with the 3 on it would have a probability of 2/7 of coming up.

P(1) = P(2) = 1/7

P(3) = 2/7

(ii) To find the probability of getting an even number, we need to find the probability of getting a 2. There are 2 faces with the number 2, so there are 2 faces that result in an even number. There are 6 faces total, so the probability of getting an even number is 2/6 = 1/3.

P(even number) = 1/3

To learn more about probability, refer:-

https://brainly.com/question/11234923

#SPJ4

Other Questions
what characteristic do all organisms in the domain eukarya share? Each different signal in a 1H NMR spectrum represents a different__________of hydrogen atom. Hydrogen atoms that are_______________give the same signal.------------------------------------ What is the LCM and GCF of 12 and 18? a spam filer is designed by screening commonly occuring phrases in spam suppose that 60 of email is spam in 20 o the spam emails the phprase fee gift card is used Which of the following hormones acting on the collecting duct is most responsible for retaining sodium ions in the blood?A) antidiuretic hormoneB) parathyroid hormoneC) atrial natriuretic peptideD) aldosterone I'm not dead lolI'm still here Identify the reasons opponents of neoliberal policies give for their rejection of this philosophy.- Neoliberalism promotes uneven development.- Neoliberalism fails to avert and alleviate economic crises.- Neoliberalism does not have enough supporters worldwide to be effective.- Neoliberalism does not support structural adjustment loans. f the mean is greater than the median in a distribution which of following statements are true? (choose one or more) group of answer choices a. the distribution is positively skewed b. the distribution is negatively skewed c. the right tail is longer than the left d. the left tail is longer than the right You have an application integrated with AD DS that maintains Active Directory objects containing credentials information, and there are serious security implications if these objects are compromised An RODC at one ranch office isn't physically secure and theft is a risk. How can you best protect this applications sensitive data?A. Configure the PRP for the RODC and specify a Deny setting for the application objectB. Configure a filtered attribute set and specify the application-related objectsC. Use EFS to encrypt the files storing the sensitive objectsD. Turn off all password replication on the RODC Alice makes porridge from milk and oats.The ratio of milk to oats is 1:2What proportion of Alice's porridge is milk? photosynthesis and ____ are processes that help to move ____ Name two economic benefits of fluid flow and two environmental costs that are a result of human control of flowing fluids. How do you find the derivative of the function using the definition of derivative f(x)=10? When placing test tubes in the centrifuge, what are the best practices? A)Carefully stopper the test tubes to ensure the liquids do not spill out. B)Place test tubes containing approximately equal volumes in opposite positions on the rotor. C)Wait until all positions on the rotor contain a test tube before activating the centrifuge. D)Never put stoppers or other items in the centrifuge with your tubes. derive the moment generating function of a random variable following a negative binomial distribution. recall that a negative binomial random variable is a sum of independent geometric random variables What are 2 Functions of capillaries? If the cost of labor is the only variable cost that the firm faces, what is the cost incurred by the business for each additional unit oflabor?(1 point)O $16O $10O $50O $80 The yellow, round tiles created a lovely design. an example of a post-translational modification v in this model of ligand binding to proteins* it is assumed that complementary s - v in this model of ligand binding to proteins, conformational changes may ocau ~ in hemoglobin, this state has lower affinity for o2 than the r state ~ triggers a t to r conformational change in hemoglobin What is the membrane lipid bilayer composed of?