Henry has 2 six-sided number cubes, one red, and one blue. The faces of the red cube are numbered 1-6. The faces of the blue cube are numbered 7-12. If Henry tosses both number cubes, what is the probability that the sum of the two cubes will be a prime number? Show and explain how you got your answer.

Answers

Answer 1

Answer:

babylonia and lseral i thik so

Answer 2

The probability that the sum of the two cubes will be a prime number is 0.33.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Henry has 2 six-sided number cubes, one red, and one blue.

The faces of the red cube are numbered 1-6.

The faces of the blue cube are numbered 7-12.

Henry tosses both number cubes.

Sample space for the experiment = {(1, 7), (1, 8), .........., (1, 12), (2, 7), (2, 8), ......., (2, 12), .........., (6, 7), ...........,(6, 12)}

Total number of outcomes = 36

Least sum is 1 + 7 = 8 and greatest sum is 6 + 12 = 18

Prime numbers in between 8 and 18 are 11, 13 and 17.

Sum will be prime numbers for the outcomes,

{(1, 10), (1, 12), (2, 9), (2, 11), (3, 8), (3, 10), (4, 7), (4, 9), (5, 8), (5, 12), (6, 7), (6, 11).

Number of outcomes which sum are prime numbers = 12

Probability = 12/36 = 1/3 = 0.333

Hence the probability is 0.33.

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Related Questions

Can someone pleaseeee help and if you’re correct i’ll cc give brainlies

Answers

Answer:

i believe it is mice

Step-by-step explanation:

I don't know why they didn't just call it mouses


What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?
Use 3.14 for it. Round your answer to the nearest hundredth.

-12.56 cubic inches
-25.12 cubic Inches
-37.68 cubic inches
-56.52 cubic inches

Answers

12.56 cubic inches

Step-by-step explanation:

Volume of a cone= π r² h/3

3.14*2*2*3/3

3.14*4*3/3

12.56*3/3

=12.56 cubic inches

Answer:

12.56 cubic inches

Step-by-step explanation:

Please find the slope of this image plz

Answers

Answer:

1/4

Step-by-step explanation:

am I correct?
will mark brainliest

Answers

Answer:

Rhombus

Step-by-step explanation:

Mark as Brainllest

Is it possible that someone can help me outside of this app please I really need it I have been stuck on this for days​

Answers

Answer:

on what type of question

Step-by-step explanation:

I could if I know how to do it

Factor the polynomial expression x^4 + x^2 − 20.

Answers

(x+2)(x-2)(x^2+5)
Hope this helps

The factors of  polynomial expression x^4 + x^2 − 20 is [tex](x - \sqrt{5})(x + \sqrt{5})(x - i \sqrt{5})(x + i \sqrt{5})$[/tex].

We are given that;

The polynomial expression =[tex]x^4 + x^2 − 20.[/tex]

Now,

To factor a polynomial expression, we need to find the common factors of each term and then use the distributive property to write the expression as a product of two or more factors.

For example,[tex]x^4 + x^2 − 20[/tex] can be written as:

[tex]$x^4 + x^2 - 20 = x^2(x^2 + 1) - 20$[/tex]

We can use the difference of squares formula to factor x^2 + 1 and 20:

[tex]$x^2 + 1 = (x + i)(x - i)20 = (2 \sqrt{5})(2 \sqrt{5})[/tex]

where i is the imaginary unit such that i^2 = -1. Now, we can write the expression as:

[tex]$x^4 + x^2 - 20 = x^2(x + i)(x - i) - (2 \sqrt{5})(2 \sqrt{5})$[/tex]

We can use the difference of squares formula again to factor the whole expression:

[tex]$x^4 + x^2 - 20 = (x^2 - 2 \sqrt{5})(x^2 + 2 \sqrt{5})$[/tex]

we can still factor each factor further into prime factors. We have:

[tex]x^2 - 2 \sqrt{5} = (x - \sqrt{5})(x + \sqrt{5})$\\$x^2 + 2 \sqrt{5} = (x - i \sqrt{5})(x + i \sqrt{5})[/tex]

Therefore, by factorization answer will be [tex](x - \sqrt{5})(x + \sqrt{5})(x - i \sqrt{5})(x + i \sqrt{5})$[/tex]

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Solve the system of equations -x+y=14−x+y=14 and -5x-7y=10−5x−7y=10 by combining the equations.

Answers

Answer:

5y-4x

Step-by-step explanation:

2y+3y

-2x*2x

The radius of a circle is 1 inch. What is the area of a sector bounded by a 135° arc?

Answers

Answer:

http://www.1728.org/radians.htm

The area of a sector = (central angle /360°) * PI * radius^2

area = (135 / 360) * 3.14159265 * 1 * 1

area = .375 * 3.14159265 * 1

area = 1.17809724 square inches

Step-by-step explanation:

Solve 8y+21=-14y+26 for y. Round your answer to the nearest tenth.

Answers

Answer:

y=0.2

Step-by-step explanation:

it will give you 5/22 and the decimal form will be 0.2272727...... and rounded to the nearest tenth will be 0.2

Use a model to divide

12
4
6

Answers

Answer:

(12 divided by 6) divided by 4

Step-by-step explanation:

Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample of 243 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.2 and 0.39?

Answers

Answer:

Following are the solution to the question:

Step-by-step explanation:

[tex]p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013[/tex]

z-score for [tex]\hat{p}=0.2[/tex] will be:

z score for will be:

[tex]z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76[/tex]

[tex]P(0.2 <\hat{p}< 0.39) = P(-176.92 < z < -30.76)[/tex] using excel method to calculate the value.

√35 + √30 is approximately

Answers

Answer:

about 11

Step-by-step explanation:

answer is in picture

A cylindrical bottle has a volume of 1,413 in3 and a radius of 5 inches. What is the height of the bottle?​

Answers

Answer:

h = 17.9909 in

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 1413 in³

r = 5 in

Step 2: Solve for h

Substitute in variables [Volume of a Cylinder Formula]:                               1413 in³ = π(5 in)²hEvaluate exponents:                                                                                         1413 in³ = π(25 in²)h[Division Property of Equality] Divide π on both sides:                                  449.772 in³ = (25 in²)h[Division Property of Equality] Divide 25 on both sides:                               17.9909 in = hRewrite:                                                                                                             h = 17.9909 in

A principal of $3000 was
invested in a savings account
for 3 years. If the interest
earned for the period was
$450, what was the interest
rate?
A=P+Prt

Answers

Answer:

r = 0.05 or 5%

Step-by-step explanation:

3450 = 3000 + (3000 · r · 3)

450 = 9000 · r

450/9000 = r

r = 0.05 or 5%

Jane borrowed $200 from her parents to buy a video game system. She has agreed to pay them back $35 each week. Which equation represents the amount of money Jane still owes her parents, p, after w weeks?

Answers

Answer:

p = 200 - 35w

Step-by-step explanation:

Let's represent

Number of weeks = x

Amount of money Jane still owes her parents = p

From the above question, we are told:

Jane borrowed = $200

She agreed to pay = $35 each week. Therefore, the equation that represents the amount of money Jane still owes her parents, p, after w weeks is written as:

p = $200 - $35 × w

p = 200 - 35w

For which distributions is the Median the best measure of center

Answers

Answer: The first graph demonstrates the best measure of center!

P.s if you feel this answer is satisfactory please mark it brainiest. I need it for my rank.

Find a positive angle less than 360° that is coterminal with the given angle.
-335°
o
A positive angle less than 360° that is coterminal with - 335° is

Answers

Answer:

3(360⁰)-335⁰

=1080⁰-335⁰

=745⁰ is a positive angle.

Place the following in order from least to greatest. 8,000,000 mm, 5 km, 7000,000 cm, 6,000 m

Answers

Answer: 5km, 6000m, 8,000,000 mm, 7000000 cm

Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

1cm = 10mm

Therefore,

5 km = 5 × 1,000,000mm = 5,000,000mm

7000,000 cm = 7,000,000 × 10 = 70,000,000mm

6,000 m = 6000 × 1000 = 6,000,000mm

Therefore, from the least to the greatest will be:

5km, 6000m, 8,000,000 mm, 7000000 cm

Find x in the image above.
(I circled x)

Answers

Answer:

6

Step-by-step explanation:

I am pretty sure this is the right answer because, to get 3 you subtracted 2 from 5. So if you subtract 2 from 8 you get 6.

I really really need help with this, please!

Answers

The first one is 63 sq. cm
Then the second is 44 sq. cm

write the smallest possible odd number with all the following dight 5,2,3,7.​

Answers

Answer:

2357

Step-by-step explanation:

Plot a triangle with vertices located at (4, -2) (1, -2) and (4,5) on this coordinate plane To graph the triangle, select the places on the coordinate plane to plot the vertices. Your vertices will be connected in the order that they are plotted Here is the grid.​

Answers

Alvin and the chipmunks is the best show to ever ever exists prove me wrong

Solid a is a right, rectangular prism, in other words is a box. The length and width are double to form solid b, but the heigth of solid a and solid b are the same. How would each quantity in solid a be changed to find the quantity in solid b

Answers

Answer:

The length and width dimensions of solid 'a' are multiplied by 2 while the height remains the same to get the representative quantity in solid, b

Step-by-step explanation:

The given parameters of solid 'a' are;

The shape of solid, a = Right, rectangular prism

Let 'l' represent the length of solid 'a', let 'w' represent the width of solid 'a' and let 'h' represent the height of solid 'a'

We have;

The length of solid, [tex]l_b[/tex] = 2·l

The width of solid, [tex]w_b[/tex] = 2·w

The height of solid, [tex]h_b[/tex] = h

Given that we have;

The length of solid, b = 2 × The length of solid, a

The width of solid, b = 2 × The width of solid, a

The height of solid, b = The height of solid, a

The dimensions of length and width of each quantity in solid 'a' will be multiplied by 2 to find the dimension of a similar quantity in solid 'b'

The change in volume from solid 'a' to solid 'b' is given as follows;

The volume of solid, 'a', Vₐ = l × w × h = l·w·h

The volume of solid, 'b', [tex]V_b[/tex] = 2·l × 2·w ×h = 4·l·w·h

[tex]V_b[/tex] = 4 × Vₐ

Therefore, the volume of each unit volume in solid 'a' is multiplied by 4 to get the volume of the image of the unit volume in solid 'b'

The cross sectional area of solid 'a', Aₐ = l × w

The cross sectional area of solid 'b', [tex]A_b[/tex] = 2·l × 2·w = 4·l·w

[tex]A_b[/tex] = 4 × Aₐ

The cross sectional area of each unit of solid 'a' is multiplied by 4 to get the image of the unit cross sectional area in solid 'b'.

Therefore;

The change in the height and width of of solid 'b' is equal to a change in twice the height and width of solid 'a' at a given height, 'h'

The relationships are;

[tex]l_b[/tex] = 2·l, [tex]w_b[/tex] = 2·w, [tex]h_b[/tex] = h

What is meant when we say "like terms" or that we are "combining like terms, and how does this relate to writing expressions in standard form.

Answers

Step-by-step explanation:

We call like terms only when we have some variables parts. For example 3x and 4x are like terms whereas 3x and 4w are not like terms.

The best thing about line terms are they can be combined together that is added, subtracted, multiplied or divided. For instance

3x+4x=7x or 4x-3x=x.

Lets us learn more by taking example containing more than one variable

3x+2y+4x+7−y

=3x+4x+2y−y+7

=(3+4)x+(2−1)y+7

=7x+y+7

​  

So, 3x+2y+4x+7−y in standard form becomes 7x+y+7

Question Progress
Homework Progress
4/
Work out the size of angle x.
105
140

Answers

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

x + (180 - 105) + (180 -140) = 180

x + 75 + 40 = 180

x = 180 -75 - 40

x = 65

Which ordered pairs represent points that belong to the straight line
y-5x-2 ... Show your work.
A) (-4,-22)
B) (4; 6)
C) (-4; 6)
D) (4;18)
no links and pls show ur work

Answers

I’m not sure if you mistyped but if you meant y=5x-2 then here is your answer:

So the equation is y=mx + b

-2 is your b meaning that it is your y intercept so you can plot it on the y axis (0,-2)

Then your slope is 5. Since your slope is positive, in order to go to the left side you can change both the denominator and numerator into negatives. So 5/1 = -5/-1

Slope = rise/run

So each time you go down 5, you go to the left once. So if you go to -4, then you will have to go down 4 times as well so 4 x 5 = 20, so you go down 20 points. You are already at (0,-2) so if you go down 20 points then you are at (-4,-22)

Therefore the correct answer is (-4,-22)

Which of the following descriptions apply to the transformation? Select all that are correct. The graph with X-coordinate marks -4, -2, 0, 2, 4 and Y-coordinate mark -4, -2, 0, 2, 4. There is polygon ABCD with Coordinates A at (2, 4), B at (4, 4), C at (5, 2) and D at (2, 1) in quadrant 1 and polygon A'B'C'D' with coordinates A' at (-4, -2), B' at (-2,-2), C' at (-1, -4), D' at (-4, -4) in third quadrant. A. T⟨–6,–6⟩ B. 6 units down; 6 units left C. 6 units up; 6 units right D. T⟨6, 6⟩

Answers

Answer:b,d,a

Step-by-step explanation:

Jing has $800 to deposit into two different savings account. She will deposit $600 into an account that earns simple interest annually at a rate of 2.75%. She will deposit $200 into an account that earns 2.5% interest compounded annually. Jing will not make any additional withdrawals or deposits. Which amount is closest to the total balance of the two accounts at the end of 3 years?

Answers

Answer:

the question answer is A

Step-by-step explanation:

Find the measure of angle b.

Which is the Answers?

A.107
B.73
C.17
D.163

Can you help me, I would appreciate it very much :)

Answers

Answer:

A. 107

Step-by-step explanation:

Angles 107 and b are corresponding angles,

Corresponding angles are equal.

So,

b = 107

Help me on this one
IM CONFUSED!!!!!!!!!
WINNER GETS BRAINLEST

Answers

It’s 42.5 like the other girl sayied
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