If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting:
A) fewer than 3 sixes
B) at least 1 six

Option A. is correct.  To calculate the lateral surface area triangular prism, the sides B, C and D are need to be added to calculate the area.

A triangular prism is "a polyhedron made up of two triangular bases and three and three rectangular sides. It has 5 faces, 6 edges and 9 vertices".

According to the question,

Formula for lateral surface area  = (a +b +c)h where a, b, c are perimeter of base and 'h' is height of the triangular prism.

From the given triangular prism has B, C and D are perimeter of base.

Hence, to calculate the lateral surface area triangular prism, the sides B, C and D are need to be added to calculate the area.

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Answer:

true because a =b = 0.42

Step-by-step explanation:

I hope it's helpful for you

Answer:

false

Step-by-step explanation:

Answer:

-8 - -11 = 3

Step-by-step explanation:

[tex]-8-x=3\\\\-8-x-3=3-3\\\\-11-x=0\\\\-11-x+x=0+x\\\\-11=x[/tex]

Therefore, the missing number is -11

Answer:

x = 0

x = -4

x = -3

Step-by-step explanation:

Hello!

First, lets factor out 3x (GCF) from the whole expression:

Factor the polynomial by grouping:

Set the expression and each factor to 0, and solve for x:

3x = 0

x + 4 = 0

x + 3 = 0

There are 3 roots for this equation: 0, -4, and -3.

Answer:

1260 degrees (1260°)

Step-by-step explanation:

Formula to Find Sum of Interior Angles of a Polygon

Nonagon (9-sided polygon)

If no letters or numbers are repeated, then the number of possibilities will be 11,232,000. Then the probability that the license plate is ABC123 or MOM678 will be 1/8,788,000.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

A series of license plates are being produced that all have the same pattern of three letters (a-z) followed by three digits (0-9) without any repeats.

If no letters or numbers are repeated, then the number of the possibilities will be

Number of ways = 26 × 25 × 24 × 10 × 9 × 8

Number of ways = 11,232,000

Then the probability that the license plate is ABC123 or MOM678 will be

[tex]P = \dfrac{1}{17,576,000}+\dfrac{1}{17,576,000}\\\\P = \dfrac{1}{8,788,000}[/tex]

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If the area of the triangle and the rectangle is 4 square cm and 2 square cm. Then the total surface area of the triangular prism will be 14 square cm.

A closed solid with two parallel triangular bases joined by a rectangle surface is known as a triangular prism.

The total surface area of the triangular prism will be

Total surface area = 2(area of the triangle) + 3(area of the rectangle)

The area of the rectangle will be

Rectangle area = 2 x 1

Rectangle area = 2 square cm

The area of the triangle will be

Triangle area = 0.5 x 4 x 2

Triangle area = 4 square cm

Then the total surface area will be

Total surface area = 2 x 4 + 3 x 2

Total surface area = 8 + 6

Total surface area = 14 square cm

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So

And

Now

From mBD

Now

m<AEC

Option A

Answer:

d = 3072.2 ft

Step-by-step explanation:

    Circumference of circle = 9687 ft

                                   πd     = 9687

                                      [tex]\sf \dfrac{22}{7}*d = 9687\\[/tex]

                                              [tex]d = 9687 * \dfrac{7}{22}\\\\d = 3082.2 \ ft[/tex]

Answer:

What is (f–g)(x)?

f(x)=

–

2x2+10x

g(x)=11

–

3x2

12

Step-by-step explanation:

Answer:

When 2 lines are parallel they have no points in common so there would be no solution in the system. Even if a third line intersects the two parallel lines, there still would not be a solution to all 3 equations in the system.

Step-by-step explanation: I found this and it can help you!

Answer:

1) 24w + 18
2) 6(4w + 3)

Step-by-step explanation:

Explanation for 1)
Use the Foil method for factoring by multiplying each number inside the bracket [8w + 6] by the number outside the brackets [3]

3*(8w + 6)
3 * 8w + 3 * 6
= 24w + 18

Explanation for 2)
By using the final product in 1) [24w + 18], we can facour it further by using GCF (Greatest Common Factor)

We have to determine first what is the greatest common factor of 24w, and 18

Its 6

So we use 6, and divide it by what we got in explanation 1 to find our 2nd way of writing the expression
24w/6 + 18/6
= 6(4w + 3)

Don't forget to put whatever you divided those numbers by outside of the bracket

Hope this helps :)

Answer:

Step-by-step explanation:

Given

3(8w + 6)

Question

Write in 2 different ways.

Method One

Use the distributive property to remove the brackets.

3(8w + 6)            Given. Remove the brackets. Notice both results

3*8w  + 3 * 6      Combine

24w + 18

Method 2

Take out another common factor. 2 is another common factor.

3(8w + 6)

3*2 (4w + 3)            Combine

6 ( 4w + 3)

Answer:

$36.25

Step-by-step explanation:

Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25

Thus, total will be 29 + 7.25 = $36.25

Answer:

3.2

Step-by-step explanation:

2e = 6.4

dividing through by 2 in order to make e the subject of the equation

e = 6.4/2

e =3.2

Step-by-step explanation:

1. completing the square

x² + 10x + ... = (x + a)² = x² + 2ax + a²

10 = 2a

a = 5

so,

x² + 10x + 10 = -22

is

(x + 5)² - 15 = -22

(x + 5)² = -7

x + 5 = i×sqrt(7)

the solutions are

x = i×sqrt(7) - 5

x = -i×sqrt(7) - 5

2. is easy via factoring

that means there has to be an easy way to define

x² + 3x - 40 = (x + a)(x + b)

remember,

(x + a)(x + b) = x² + (a+b)x + ab

since the constant term is -40, we know either a or b had to be negative (and the other positive).

a × b = -40

so, what factors deliver 40 ?

1×40

2×20

4×10

5×8

the x-term factor is 3.

so,

a + b = 3.

therefore, it must be the combination 8-5.

so, the factoring is

(x + 8)(x - 5) = 0

the solutions are therefore

x = -8

x = 5

3. quadratic formula

x² + 3x + 1 = 0

a = 1

b = 3

c = 1

x = (-b ± sqrt(b² - 4ac))/(2a)

x = (-3 ± sqrt(3² - 4×1×1))/(2×1) = (-3 ± sqrt(9 - 4))/2 =

= (-3 ± sqrt(5))/2

the solutions are

x = (-3 + sqrt(5))/2

x = (-3 - sqrt(5))/2

therefore

4. 2 non-real solutions (called also complex or irregular)

5. 2 rational solutions

6. 2 irrational solutions

Answer:

look at the photo

...................................

#2^(x-2)

For 2

For 3

For 4

For 5

For 6

#2^x-2

For 2

For 3

For 4

For 5

For 6

Answer:

[tex]\large \begin{array}{| l | c | c | c | c | c |}\cline{1-6}x & 2 & 3 & 4 & 5 & 6\\\cline{1-6} 2^x-2 &2 &6 &14& 30 & 62 \\\cline{1-6} 2^{x-2} & 1&2 & 4& 8& 16\\\cline{1-6}\end{array}[/tex]

[tex]\large \text{$ 2^x-2 $}:[/tex]

[tex]x=2 \implies 2^2-2=2\\x=3 \implies 2^3-2=6\\x=4 \implies 2^4-2=14\\x=5 \implies 2^5-2=30\\x=6 \implies 2^6-2=62[/tex]

[tex]\large \text{$ 2^{x-2} $}:[/tex]

[tex]x=2 \implies 2^{2 -2}=1\\x=3 \implies 2^{3 -2}=2\\x=4 \implies 2^{4 -2}=4\\x=5 \implies 2^{5 -2}=8\\x=6 \implies 2^{6 -2}=16[/tex]

Hi!! :D

Answer:

I got 177.46

Step-by-step explanation:

I just used a surface area calculator!

So sorry if this is wrong!

Have a great day! <3

Answer:

ANswer A for Reshawn

Step-by-step explanation:

The box plots show data about the heights, in feet, of two different types of trees at a local nursery.

Which statement is best supported by the information in the box plots?

Answer: Cristiano scored an 83%

Step-by-step explanation:

1.) plug in 50/60 into a calculator to get the percentage

Answer:

D. y = -4/5x + 10

Step-by-step explanation:

If you graph it, whether that be on paper or typing the equation out on a website so it can do the graphing for you, it's a straight line with a negative slope unlike the other choices. Therefore, it's a linear function. A quick tip is that, usually, a linear function can be easily shown in the form of y = mx + b (slope-intercept form), and that's the exact form y = -4/5x + 10 is in. y being y (dependent variable, or result/output), -4.5 being m which represents the slope, x being x (independent variable, or input), and +10 being b which represents the y-intercept. If the x is in the denominator like in y = 5/x - 3, it's very likely that it's not a linear function.

The cost of a brush, a sketchbook, and a paint set will be $ 2.38, $ 14.3, and $ 19.067 respectively.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Genevieve brought $35.75 to the art supply store.

She bought a brush, a sketchbook, and a paint set.

Let x be the cost of the paint set.

The sketchbook cost 3/4 the cost of the paint set. Then the cost of the sketchbook will be

[tex]\rightarrow \rm \dfrac{3x}{4}[/tex]

The brush was 1/6 as much as the sketchbook. Then the cost of the brush will be

[tex]\rightarrow \rm \dfrac{3x}{4} \times \dfrac{1}{6}=\dfrac{x}{8}[/tex]

Then the value of the paint set will be

[tex]\begin{aligned} \dfrac{3x}{4} +\dfrac{x}{8} + x &= 35.75\\\\\dfrac{15}{8}x &= 35.75\\\\15x &= 286\\\\x &= \$ 19.067 \end{aligned}[/tex]

Then the cost of the sketchbook will be

→ 3 × 19.067 / 4 = $ 14.3

Then the cost of the brush will be

→ $ 2.38

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Answer:

He would have to talk 200 minutes.

Step-by-step explanation:

Since 30 divided by .15= 200. And there is a .15 cent cost per minute meaning Javier would have to talk for 200 minutes for the prices to be equal.

Have a great day!

Answer:

Step-by-step explanation:

Remark

If you are given choices, you should quote them; Otherwise we are guessing. I will give you some some choices.

Answer:

4 < 7

Step-by-step explanation:

-7 + 11 =

11 - 7 =

4

-4 + 11 =

11 - 4 =

7

4 < 7

Answer:

4<=7

Step-by-step explanation:

-7<=-4

or, -7+11<=-4+11

Therefore 4<=7

Answer:

224 sq m

Step-by-step explanation:

We are basically finding surface area of a rectangular prism, minus the top side

[tex]2(2)(8) + 2(16)(2) + 16(8)[/tex]

Simplify:

[tex]32 + 64 + 128 = 224[/tex]