In a game a die numbered 9 through 14 is rolled. What is the probability that the value of a roll will be a multiple of two or ten?

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a special die.  Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.

There are three possibilities for getting a multiple of two:  {10, 12, 14}, and

there is only one possibilities for getting a multiple of ten:  {10, 12, 14}

The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6.  But one of the outcomes is found in both result sets:  10.  Getting a multiple of 10 is already included in the event that the outcome is a multiple of two.  My answer here would be 3/6, or 1/2.

Answer 2

the probability of rolling a multiple of two or ten is 4/6, which simplifies to 2/3.

The probability of rolling a multiple of two or ten on a die numbered 9 through 14 can be calculated as follows:

Numbers that are multiples of two in the given range are 10, 12, and 14, which are 3 possibilities.Numbers that are multiples of ten in the given range are 10, which is 1 possibility.Therefore, the total favorable outcomes are 3 (for multiples of two) + 1 (for a multiple of ten) = 4. The total possible outcomes from 9 through 14 are 6.Hence, the probability of rolling a multiple of two or ten is 4/6, which simplifies to 2/3.

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Related Questions

Please help I need this answer.

Answers

Answer:

  see below

Step-by-step explanation:

The images are mirrored right/left, so the reflection must be across the y-axis. That only leaves two answer choices.

If you translate ABC to the left, you will put it entirely in quadrant II, so reflection across the y-axis will put it in quadrant I. Obviously, that is not the correct sequence of transformations.

If you translate ABC 3 units to the right, it will put line AB on x=2. Then reflection across the y-axis will put that vertical segment on x = -2, exactly where corresponding segment DE is located.

The appropriate choice is the one shown below:

Simplify.

(7y)^2

Write your answer without parentheses.

Answers

Answer:

Step-by-step explanation:

(7y)² = 7²×y² = 49y²

In order to simplify the expression (7y)^2, we need to apply the exponent to both the numerical coefficient and the variable inside the parentheses. Here's how to do it step-by-step:
1. The expression (7y)^2 denotes that everything inside the parentheses is to be squared. That means we multiply 7y by itself.
2. When squaring a product, we square each factor separately. So we have to square both the 7 and the y.
3. Squaring 7 gives us 7^2, which equals 49.
4. Squaring the variable y gives us y^2.
5. Now, we multiply 49 by y^2 to combine our results.
Putting these steps together, we see that (7y)^2 simplifies to 49y^2.
The final simplified expression without parentheses is 49y^2.

Write the phrase "the product of 2 and a number" as a mathematical expression.

A. 2 + x
B. 2x
C. 2 – x
D. 2⁄x

Thanks! Will be marked for Brainlest if answered correctly.

Answers

answer for this question is (b)2X

The phrase "the product of 2 and a number" written as a mathematical expression is 2x

How to write algebraic expression

Given:

The product of 2 and a number

Product means multiplication written as ×

Let

The unknown number = x

So,

The product of 2 and a number

= 2 × x

= 2x

Therefore, the product of 2 and a number is written as 2x

Learn more about maths expression:

https://brainly.com/question/4344214

Which descriptions from the list below accurately describe the relationship
between QRS and TUV? Check all that apply.

Answers

Answer:

There similar

Answer: Similar and Same shape

Step-by-step explanation:

I got it wrong and these were the correct answers ON G

what is the value of x?

A: -39

B: -34

C: 26

D: - 26

E: 34

Answers

Answer:

  B:  -34

Step-by-step explanation:

The given angles are supplementary, so you have ...

  (2x+146) + (4x+238) = 180

  6x +384 = 180 . . . . . simplify

  6x = -204 . . . . . . . . . subtract 384

  x = -34 . . . . . . . . . . . .divide by 6

_____

Check

angle F is (2·(-34)+146)° = 78°

angle C is (4·(-34)+238)° = 102°

These angles indeed are supplementary, so the answer checks OK.

X=-34; add both expressions together and solve for x

A circle has a circumference of approximately 113.04 inches. What is the diameter and the radius of the circle.

Answers

Answer:

The diameter of the circle is [tex]D=36\ in[/tex] and the radius is [tex]r=18\ in[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter of the circle

we have

[tex]C=113.04\ in[/tex]

substitute and solve for D

[tex]113.04=(3.14)D[/tex]

[tex]D=113.04/(3.14)[/tex]

[tex]D=36\ in[/tex]

Find the radius r

[tex]r=36/2=18\ in[/tex] -----> the radius is half the diameter

Edgar has birdbath that holds 2 gallons of water How many 1 pint containers does it take to fill birdbath? EXPLAIN

Answers

Answer:

16

Step-by-step explanation:

1 gallon is equal to 8 pints.

2 gallons is equal to 16 pints.

Question 14 Math Help please

Answers

ANSWER

(1,0) is a solution

EXPLANATION

The given inequality is

[tex]y \leqslant |x + 2|- 3[/tex]

We substitute the point to see which ones satisfy the inequality.

For (1,0)

[tex]0\leqslant|1+ 2|- 3[/tex]

[tex]0\leqslant 0[/tex]

This is true.

(1,0) is a solution.

For (-1-1)

[tex]- 1\leqslant | - 1 + 2|-3[/tex]

[tex]- 1\leqslant-2[/tex]

False

(-1,-1) is not a solution.

For (0,0)

[tex]0\leqslant|0+2|-3[/tex]

[tex]0\leqslant- 1[/tex]

False.

For (0,1)

[tex]1\leqslant|0+ 2|-3[/tex]

[tex]1\leqslant-1[/tex]

This is also false

In an election, 54% of the voters voted for a new school tax. What is the probability that a randomly selected voter did not vote for the tax? Express your answer as a percentage.

a. 46%
b. 17%
c. 15%
d. 54%

Answers

The correct answer is A. 46%

Help with this trig math question

Answers

Answer:

8

Step-by-step explanation:

We want to evaluate the function f(x) = 3(log to the base 2 of x) + (log to the base 2 of 1/x) at x = 16.

Note that 2^4 = 16, so (log to the base 2 of 16) is 4.

Also note that 1/16 = 1/(2^4), so (log to the base 2 of 1/(2^4 is -4.

In summary, f(x) = 3(log to the base 2 of x) + (log to the base 2 of 1/x) at x = 16 is equal to 3(4) -4, or 8.

Will someone please help me solve this !!

Answers

Answer:

∠H= 109º

∠F = 71º

∠G = 109º

Step-by-step explanation:

∠I = 71º

Interior opposite angles of parallel lines sums up to 180º.

∠H = 180 - 71 = 109º

Line IH is equal to Line FG.

∠F = ∠I

∠F = 71º

∠G = ∠H

∠G = 109º

Randomly selecting a seventh grader from a school that has 256 sixth graders, 225 seventh graders ,and 275 eighth graders

Answers

Answer:

225/756

Step-by-step explanation:

275+256+225

=756

We want to know what are the odds of selecting a seventh grader which is:

225/756

What is the surface area of a cube with a side length of 4 inches?

12 in2
48 in2
64 in2
96 in2

Answers

Answer:

96in^2

Step-by-step explanation:

because first find the area of two sides (Length*Height)*2 sides.

Find the area of adjacent sides (Width*Height)*2 sides.

Find the area of ends (Length*Width)*2 ends.

Add the three areas together to find the surface area.

Example: The surface area of a rectangular prism 5 cm long, 3 cm.

Answer:

96

Step-by-step explanation:

Did quiz

Which of the following is a trigonometric identity?
A. cot theta + tan theta = 1
B. sec^2theta + csc^2theta = 1
C. tan^2theta = sin^2theta × sec^2theta
D. cos^2theta = sec^2theta × tan^2theta

Answers

option B is right answer

Solving Trigonometric Equations Using Inverses Quiz part 1

1. -2

2. -0.36

3. C

4. tan^2theta = sin^2theta × sec^2theta (This Question)

5. 60 degrees

6. 0.71

7. 0.09

8. 2pi/3 , 4pi/3

9. pi/4 , 5pi/4

Step-by-step explanation: I just took it...

These are the correct answers you're welcome

What is the best next step in the construction of an equilateral triangle?

Answers

Answer:

option B

Step-by-step explanation:

Use a compass to draw a circle centered at B with a radius that is length of AB.

then  draw a circle centered at A with a radius that is length of AB

join the point of intersection of two circles through straight lines to point A and point B.

!

Answer with explanation:

Given a circle having center A, and radius equal to AB.

   One side of equilateral Triangle = AB

We have to draw two sides which have length equal to AB.

Draw a circle having center B and radius equal to AB.The Circle will pass through center A and cuts the Original circle at P.Join AP and BP.This is the equilateral triangle that we are interested in.

The Next in the construction of an equilateral triangle is:

Option B:→ Use a Compass to draw a circle centered at B with a radius that is equal to AB.

find the next two terms of the following sequence: 14,38,74,122,182,254

Answers

ANSWER

The next two terms are

338, 434

EXPLANATION

The given sequence is 14,38,74,122,182,254

Let us observe some pattern and use it to find the next two terms.

14+24=38

38+36=74

74+48=122

122+60=182

182+72=254

To get the next term we add 84 to 254

254+84=338

To get the next term,we add 96 to 338

338+96=434

Given the force field F, find the work required to move an object on the given orientated curve. F=<y,x> on the parabola y=7x^2 from (0,0) to (4,112)
[tex]y = 7 {x}^{2}[/tex]

Answers

The work done by the force field  on the object moving on the parabola y=7x^2 from (0,0) to (4,112) is calculated by integrating the force along the path. The total work done is found to be 224 units of work.

To find the work done by a variable force on an object moving along a given curve, we utilize the concept of a line integral in vector calculus. Given the force field F =  and the parabolic path described by y = 7x2, from point (0,0) to (4,112), we want to integrate the force field along the curve. To calculate this line integral, we parameterize the curve using x as the parameter, since y is already expressed as a function of x. We then express the force field in terms of x, evaluate the dot product of the force field and the differential of the position vector, and integrate from the start to the end of the curve.

The work, W, is found by integrating the dot product of F and dx from the initial to the final position:
W = \\int (F . dx).

In our case, the force field becomes F(x, y(x)) = F<7x2, x> = <7x2, x>. The differential displacement along the parabola, expressed in vector form, is dx = <1, 14x>dx because dy/dx = d(7x2)/dx = 14x. Thus, the infinitesimal work is dW = F .dx = 7x2 * 1dx + x * 14xdx = 21x2dx. Finally, we integrate from x = 0 to x = 4 to find the total work:

W = \\int_{0}^{4} 21x2dx = 7x3\\right]_{0}^{4 = 7 * 43 = 224.

Therefore, the work done by the force field along the parabolic path from (0,0) to (4,112) is 224 units of work.

The work required to move an object along the parabola y = 7x^2 from (0,0) to (4,112) under the force field F = <y, x> is approximately 149.33 units.

To find the work required to move an object along a curve under the influence of a force field, we can use the line integral of the force field along the curve. The line integral is given by the formula:

∫ F · dr = ∫ (F1 dx + F2 dy)

Given the force field F = <y, x> and the parabola y = 7x^2, we need to parameterize the curve to express it in terms of a single variable.

Let's parameterize the curve using x as the parameter:

x(t) = t

y(t) = 7t^2

Now, we can calculate the differential elements dx and dy:

dx = x'(t) dt = dt

dy = y'(t) dt = 14t dt

Substitute the expressions for F, dx, and dy into the line integral formula:

∫ F · dr = ∫ (y dx + x dy)

            = ∫ (7t^2 dt + t * 14t dt)

            = ∫ (7t^2 + 14t^2) dt

            = ∫ 21t^2 dt

            = 7t^3 / 3 + C

Evaluate the integral from t = 0 to t = 4:

Work = [7(4)^3 / 3] - [7(0)^3 / 3]

    = (7 * 64 / 3) - 0

    = 448 / 3

    ≈ 149.33

Therefore, the work required to move an object along the parabola y = 7x^2 from (0,0) to (4,112) under the force field F = <y, x> is approximately 149.33 units.

Plot 5-5i and write the number in trig form

Answers

Answer:5√2(cos(−π/4)+ isin(−π/4)) is in trig form

Step-by-step explanation:

Please help!!!!!!!!!!!

Answers

Answer:

y = 51.3°

Step-by-step explanation:

tan(y) = Opp./Adj

tan(y) = 10/8

tan(y) = 1.25

y = 51.3°

The variable z is directly proportional to x, and inversely proportional to y. When x is 7 and y is 7, z has the value 2. What is the value of z when x= 10, and y= 12

Answers

Answer:

z = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Given z is directly proportional to x and inversely proportional to y then the equation relating them is

z = [tex]\frac{kx}{y}[/tex] ← k is the constant of proportionality

To find k use the condition x = 7, y = 7 and z = 2

k = [tex]\frac{zy}{x}[/tex] = [tex]\frac{2(7)}{7}[/tex] = 2

z = [tex]\frac{2x}{y}[/tex] ← equation of proportionality

When x = 10 and y = 12, then

z = [tex]\frac{2(10)}{12}[/tex] = [tex]\frac{20}{12}[/tex] = [tex]\frac{5}{3}[/tex]

Helena is purchasing a house for $210000 with a 15-year fixed -rate mortgage at 4.5% interest. She has made 5% down payment . The house is valued at $200,000 and the local tax rate is 3.5% . Her homeowners insurance is $720 per year . What are her total monthly payments

Answers

Answer:

  $2169.49

Step-by-step explanation:

The mortgage payment is ...

  A = (210,000·0.95)(0.045/12)/(1 -(1 +0.045/12)^(-12·15)) ≈ 1526.16

The monthly set-aside for taxes is ...

  3.5%·200,000/12 = 583.33

The monthly set-aside for insurance is ...

  720/12 = 60

So the total of P&I + taxes + insurance will be ...

  $1526.16 +583.33 +60.00 = $2169.49

Answer:

2202.72

Step-by-step explanation:

just got the answer right on the quiz

A car salesperson sells a used car for $8,800 and earns 5% of the sale price as commission. How many dollars does the salesperson earn in commission?

Answers

Final answer:

To calculate the commission, multiply the sale price of $8,800 by the commission rate of 5% to get a commission of $440.

Explanation:

The question is asking to calculate the commission a salesperson earns from selling a used car. The salesperson earns a 5% commission on the sale price of the car, which is $8,800. To find the commission, we multiply the sale price by the commission rate:

Sale Price = $8,800
Commission Rate = 5% (or 0.05 in decimal form)

Commission = Sale Price × Commission Rate
Commission = $8,800 × 0.05
Commission = $440

Therefore, the salesperson earns a commission of $440.

A textbook has a length of 6 inches wide inches and a width of X inches if the length of diagonal of the front covers 8 inches the length of the diagonal of the width of 7 inches find the values of XY

Answers

Answer: x=7 y=8

Step-by-step explanation:width is x and the width is 7inches

height is y and the diagonal length 8inches

What is the equation of the line written in general form?


a.) -x + y - 2 = 0

b.) x + y - 2 = 0

c.) 2x + y - 2 = 0

Answers

this question isn't fully complete. comment a full question below and I'll try for ya ;) - Josie Annette

i need help asapppppppp

Answers

Answer:

Question 1 -  f(x) = | x | - 2

First, let's find the 5 values requested:

x = -2 ==> | x | - 2 = | - 2 |  - 2 = 2 - 2 = 0

x = -1 ==> | x | - 2 = | - 1 |  - 2 = 1 - 2 = -1

x = -0 ==> | x | - 2 = | 0 |  - 2 = 0 - 2 = -2

x = 1 ==> | x | - 2 = | 1 |  - 2 = 1 - 2 = -1

x = 2 ==> | x | - 2 = | 2 |  - 2 = 0 - 2 = -2

You can see the plotted graph attached.

Question 1 -  f(x) = | x  - 1 | - 1

First, let's find the 5 values requested:

x = -2 ==> | x  -  1 | - 1 = | - 2 - 1 |  - 1 = | - 3 | - 1 = 3 - 1 = 2

x = -1 ==> | x  -  1 | - 1 = | - 1 - 1 |  - 1 = | - 2 | - 1 = 2 - 1 = 1

x = 0 ==> | x  -  1 | - 1 = | 0 - 1 |  - 1 = | - 1 | - 1 = 1 - 1 = 0

x = 1 ==> | x  -  1 | - 1 = | 1 - 1 |  - 1 = | 0 | - 1 = 0 - 1 = -1

x = 2 ==> | x  -  1 | - 1 = | 2 - 1 |  - 1 = | 1 | - 1 = 1 - 1 = 0

You can see the plotted graph attached.

Someone mind helping me out? :)

Answers

Answer:

Step-by-step explanation:

Area of a circle is A = πr², and diameter of a circle is d = 2r.

d = 2r

72 = 2r

r = 36

A = πr²

A = π(36)²

A = 1296π

A ≈ 4069

Math is right about the answer

BRAINLIEST - ALGEBRA HELP! See image.

Answers

Answer:

Option a

[tex]f(x) = e^{x-1} -2[/tex]

Step-by-step explanation:

If the graph of the function [tex]y=f(x+h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If [tex]b> 0[/tex] the graph moves vertically upwards b units.

If [tex]b <0[/tex] the graph moves vertically down  b units

If [tex]h<0[/tex] The graph moves horizontally h units to the right

If [tex]h>0[/tex] The graph moves horizontally h units to the left

In this problem we have the parent  function [tex]y=e^x[/tex]

We know that the parent function is translated 1 unit rigth and 2 units down.

This is:

[tex]h<0 = -1\\\\b < 0 = -2[/tex]

Finally the transformation is:

[tex]y=f(x-1) -2[/tex]

[tex]f(x) = e^{x-1} -2[/tex]

What is the domain of the function y= radical x?

Answers

Answer: [tex]x\geq0[/tex] or [tex][0,\infty)[/tex]

Step-by-step explanation:

You have the function:

[tex]y=\sqrt{x}[/tex]

The domain of the function is the set of all the possible input values that the function can has.

We know that the square root of a negative number is not defined in the Real numbers. Therefore, "x" cannot be a negative number.

Then the domain of f(x) will be:

[tex]x\geq0[/tex] or [tex][0,\infty)[/tex]

Answer:

Step-by-step explanation:

Can you write this as y = √x?

The domain of the function y = √x is [0, ∞ ).  In elementary algebra, before you encounter imaginary numbers, y = √x is not defined for negative x.

The circle graph shows the distribution of age groups of people living in a city. Identify the measure of arc PR. HELP ASAP!!

Answers

Answer:

100.8°

Step-by-step explanation:

∠POR = ∠POQ + ∠QOR

∠POQ is 20% of 360° ( measure of the angles in a circle )

= 0.2 × 360° = 72°

∠QOR is 8% of 360° = 0.08 × 360° = 28.8°

Hence

arc PR = ∠POR = 72° + 28.8° = 100.8°

Help, with this multiple choice question?

Phillip is looking at two different jobs. One has a higher hourly pay rate, while the other
offers benefits. The first job pays $25 an hour, while the second job pays $20 an hour.
Benefits from the second job are equivalent to $100 per pay period. How many hours per
pay period will Phillip have to work in the first job to make the same as the second job,
including benefits?
a. 10
b. 14
c. 20
d. 16

Answers

he would hove to work 20 hours to meet the second job I think

Final answer:

To make the same total earnings at the first job as the second job (including benefits), Phillip would have to work an additional 4 hours (to account for the $100 benefits). If the workdays are 8 hours each, then for every two days (which is 16 hours) worked at job 2, Phillip would need to work an additional 4 hours at job 1, summing up to 20 hours.

Explanation:

This problem is about comparing the earnings from the two jobs. For the second job, Phillip earns $20 per hour and also gets benefits equivalent to $100 per pay period.

If Phillip wants to earn the same amount in the first job (which does not offer any benefits), we calculate how many hours he would need to work to earn an additional $100 (the value of the benefits).

To do this, we divide $100 (benefits of the second job) by the first job's hourly pay rate ($25) which results in 4 hours.

So, Phillip must work an additional 4 hours to make up for the benefits. Meaning, for any given number of hours he would work at the second job, he would need to work an extra 4 hours at the first job to get the same total earnings.

Therefore, the right answer is not among the choices given because we have an extra step to add to each option. If we consider a standard 8-hour workday, working at the second job for two days gives 16 hours with an additional $100 for benefits. To make the same in the first job, Phillip would need to work, 16 hours (from the second job) + 4 hours (to compensate for the $100 benefits) = 20 hours.

Learn more about hourly pay rate comparison here:

https://brainly.com/question/35418513

#SPJ3

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