A 12-sided solid has equal-sized faces numbered 1-12

a. Find P(number greater than 10).

b.Find P(number less than 5)

c. If the 12-sided solid is rolled 200 times, how many times would you expect either a 4, 6, or 9 to be rolled?

Answers

Answer 1

Answer:

a) [tex]P(x > 2) = \frac{1}{6}[/tex]

b) [tex]P(x < 5) = \frac{1}{3}[/tex]

c) 50 times

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

Solving (a): P(x > 10)

First, list all outcomes of x

[tex]x = \{11,12\}[/tex] --- 2 outcomes

So, the probability is:

[tex]P(x > 2) = \frac{2}{12}[/tex]

Simplify

[tex]P(x > 2) = \frac{1}{6}[/tex]

Solving (b): P(x < 5)

First, list all outcomes of x

[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes

So, the probability is:

[tex]P(x < 5) = \frac{4}{12}[/tex]

Simplify

[tex]P(x < 5) = \frac{1}{3}[/tex]

Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200

We have:

[tex]n = 200[/tex]

First, list all outcomes of x

[tex]x = \{4,6,9\}[/tex] --- 3 outcomes

So, the probability is:

[tex]P(x ) = \frac{3}{12}[/tex]

Simplify

[tex]P(x ) = \frac{1}{4}[/tex]

The expected number of rolls (E(x)) is calculated as:

[tex]E(x) = P(x) * n[/tex]

[tex]E(x) = \frac{1}{4} * 200[/tex]

[tex]E(x) = 50[/tex]


Related Questions

what expressions from the table are equivalent to that expression ?

Answers

Answer:

Step-by-step explanation:

11). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{6}{10}}\times \sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{10}}[/tex]

    = p

    Yes

12). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}[/tex]

     But, [tex]\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}[/tex]

     No

13). Since, [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p[/tex]

   Simplify the given expression,

   [tex]\sqrt[10]{p^{\frac{23}{5}}}[/tex]

    [tex]\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}[/tex]

    No.

14). [tex]p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p[/tex]

    No.

15). [tex]p^{24}\neq p[/tex]

    No.

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Answers

Answer:

II and III

Step-by-step explanation:

Causation always means coorelation, but corelation doesn't always mean causation.

Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.

Therefore, only II and III are correct.

5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?

Answers

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

3x + 2y = 1 4x + 3y = -2 Elimination ​

Answers

Answer:

x=7 y=-10 this is ur answer

Which graph does not represent a function?

Answers

I think is D hopefully is right

Find the value of x that makes the equation true
3(-2 + 1 ) + 5 = 3x -4 - 5x

Answers

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

Reason

[tex]3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3[/tex]

If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote

Answers

Answer:

y=6

Step-by-step explanation:

The horizontal asymptote for y = 1/x is the x-axis, y = 0.

Shifting the graph up 6 makes the asymptote move up, too, to y = 6.

See the attached image:

y = 1/x is purple

y = 1/(x + 2) + 6 is black

The line has slope 3 and passes
through the point (-2,-5).

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + b

-5 = 3(-2) + b

-5 = -6 + b

1 = b

Solve using distributive property:
-2/5*3/2+5/3*9/10-3/2*4/5

Answers

Answer:

Answer Down Below

Step-by-step explanation:

The answer to your question is -0.3.

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16


I need Help please!!

Answers

Either b or d! Because as you can see the lines to create a square are in the middle. So them b and d have lines going both ways!

Please help thank youu!

Answers

Answer:

the answer would be 11. bc 2 x 3=6 + 5= 11

U have to substitute the y for 3

Answer:Y = -7

Step-by-step explanation:

please help thank you :)​

Answers

[tex] \: \: \: \: \: \: \red{ \underline{ \large{ \pink{ \tt{꧁ A \: N \: S \: W \: E \: R ꧂}}} }}[/tex]

✧ [tex] \underline{ \underline{ \large{ \red{ \tt{G \: I\: V \: E\: N}}}} }: [/tex]

AC bisects [tex] \tt{ \angle BAD\: \& \: \angle \: BCD}[/tex]

❀ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I\: N\: D}}}}} : [/tex]

Congruence theorem which justifies ∆ ABC [tex] \cong[/tex] ∆ ADC.

♕ [tex] \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}: [/tex]

[tex]\begin{array}{ |c| c | c | } \hline \text{SN}& \text{Statement} & \text{Reason}\\ \hline \\ \text{1 \: i.}& \sf{In \triangle} \:ABC \: \& \: \triangle \: ACD \: \ \\ & \tt{ \angle ACB= \angle \: ACD(A)}\ & \sf{AC \: bisects \angle \: BCD(Given)} \\ \text{ii} \: & \tt{AC= CA(S)}& \sf{Common \: side} \\ \text{iii} \: & \tt{ \angle \: BAC = \angle \: CAD(A)}& \sf{AC \: bisects \: \angle \: BAD ( Given )}& \\ \\ \hline 2& \tt{ \triangle} \: ABC \cong \triangle{ADC}& \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\ \hline\end{array}[/tex]

Hence , We can conclude :

ASA congruence theorem justifies ∆ ABC [tex] \cong[/tex] ∆ ADC

ツ Hope I helped! ♡

♪ Have a wonderful day / night ! ✎

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}} ☃ [/tex]

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4·(4+32+42) please help fast

Answers

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Answer:

Uhm so I did 4×4=16 than 4×32=128 than 4×42=168

You add 16+128=144 than you divide 144÷168 which gives you a decimaled number which I got 0.8 if you round up its 1.0

Which is the equation of a parabola with vertex (0,0) and directrix y= 4

a. Y^2 = -8x
b. Y^2 = -16x
c. X^2 = -8y
d X^2 = -16y

Answers

Answer:

D. [tex]x^{2} = -16\cdot y[/tex]

Step-by-step explanation:

The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:

[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)

Where:

[tex]y[/tex] - Dependent variable.

[tex]x[/tex] - Independent variable.

[tex]p[/tex] - Focus distance.

If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].

Hence, the right choice is D.

Anybody who want extra points I can give it too you, NOT A JOKE I AM SERIOUS.
Just answer this question:

Answers

Answer:

? 40.50

Step-by-step explanation:

90 ÷ 20 × 9 = 40.5

Answer:

cost of 9article is 40.50

hope it helps.

A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )

Don bought four tomato plants that cost $2.38 each he paid $0.76 sales tax how much change will he receive from $10

Answers

He will pay 0.28 dollars

put this in least to greastest

Answers

Answer:

3, 1, 4, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-10, [tex]\sqrt{100}[/tex] , 11.5, [tex]\sqrt{220}[/tex] .

Step-by-step explanation:

a one digit whole number greater than 0 is multiplied by 10^5. how many zeros will the product have?

Answers

Answer:

5

Step-by-step explanation:

someone please help im gonna fail

Answers

Answer:

The order will be 2, 3, 4 & 1

Answer:

Juana lee Ann Jackson ryne

Step-by-step explanation:

can i have brainly

What is the equation of function g?
g(x)= f(x)

Answers

Answer:

f=gx-4/x-2

f=x^3+2/x

HELP!!!! WILL GIVE BRAINLYIST

Answers

Answer:

1.071

Step-by-step explanation:

[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]

Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

A: 0
B: 13
C: 8
D:16

Answers

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]

   = [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]

    = [tex]\sqrt{25+144}[/tex]

    = [tex]\sqrt{169}[/tex]

     = 13 → B

Halley’s Comet can be seen from Earth every 75 years. What type of sequence is formed by the years Halley’s Comet can be seen? arithmetic geometric or neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Answer:

Arithmetic

next answer is 2061

How does 0.07/2.8 equal the same answer as 7/280?

Answers

Answer:

4.065

Step-by-step explanation:

40.6 divide by 5 so answer is 4.065

Answer:

Step-by-step explanation:

0.07/2.8 = 0.025

7/280 = 0.025

Yes they are same because their answer is same

Point B has coordinates ​(3​,1​). The​ x-coordinate of point A is negative 1. The distance between point A and point B is 5 units. What are the possible coordinates of point​ A?

Answers

Answer:

Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.

Using distance formula for AB we obtain,

AB^2=(x2-x1)^2 + (y2-y1)^2

5^2=(3+1)^2 + (1-y)^2

25-16=(1-y)^2

9=(1-y)^2

1-y=3

y= -2

Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.

Can someone help me with this please

Answers

Answer:

46.5

Step-by-step explanation:

With perimeter you can just add up all the sides.

C-D=7.4

D-E=14

E-F=12.1

F-C=13

     =46.5

Match each statement with its corresponding value for the system below:
y = -2(3)x and y = 9x - 2
1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.
the options as the answers are:
0, -2, and 1

Answers

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Which in the following terms mean addition

Answers

Answer:

I think total of is right answer

total of
“of” usually means multiplication
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