A spinner is divided into 12 identical sectors and labeled 1 through 12.

How many spins are expected for a multiple of 5 to be spun 8 times?

Select from the drop-down menu to correctly complete the sentence.

The spinner is expected to have to spin approximately
times for a multiple of 5 has been spun 8 times.

Answers

Answer 1

Answer: The awnser is 48

Step-by-step explanation: I took the quiz

6.03 Quiz: Use Theoretical Probability to Predict

Answer 2

It is expected to take 48 spins for a multiple of 5 to be spun 8 times.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.

The probability of not landing on a multiple of 5 is 5/6.

We can use the geometric distribution formula to find the expected number of spins:

E(X) = 1/p, where p is the probability of success.

As per the question, the probability of success is 1/6.

Therefore, E(X) = 1/(1/6) = 6.

We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:

6 x 8 = 48.

Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ3


Related Questions

Find the area of this triangle if
C = 138°, a = 16, and b = 7.
A
B•
[? square
units
Round to the nearest tenth.
Enter

Answers

38.1 units^2

Step-by-step explanation:

you can use the formula: 1/2(ab)(sin c)

plug it in: 1/2(16*7)(sin 138)

simplify: 57sin138

plug it into your calculator: 38.1 (rounded)

If you found this answer helpful, I would appreciate if you gave me the brainliest award :D.

Answer:

37.5

Step-by-step explanation:

For acellus

HELP ASAP
In the diagram, m ZAFB = 78°

Which angle is supplementary to ZAFB and what is its measure?

Answers

Answer:

Angle AFE = 102(degree symbol)

Step-by-step explanation:

supplementary means two angles that add up to 180

hope this helps! :)

Answer:

The angle supplementary to ∠AFB is ∠EFA.

The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.

Supplementary angles combine to form a straight line.

In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).

And to find the value of m∠EFA you would need to arrange an equation.

Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.

We will consider the value of m∠EFA to be 'x' in our equation, so;

x + 78 = 180°

Solve for x:-

-78        -78

x = 102°, therefore m∠EFA = 102°.

To save money for his daughter's college tuition, Pablo invests $279 every quarter in an annuity that pays 6% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years. Do not round any intermediate computations, and round your final answer to the nearest cent

Answers

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]

[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]

WORTH 1 POINT
GIVING 15 POINTS AWAY
HELP PLS!!!!

Answers

Answer:

y = 29

Step-by-step explanation:

Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.

4y-8 = 79+y

-79     -79

4y-87 = y

-4y       -4y

-87 = -3y

Divided by -3

29 = y

Answer is Y= 29
You’re welcome

I really need help thank you!
10 points

Answers

Step-by-step explanation:

sum of angles in ∆ = 180

48+6x-28+2x = 180

20+4x = 180

4x = 160

x = 40

b = 212

c = 80

How would you use the formula "V = BH" to find the volume of a tent? Explain.

Answers

Explanation:

The volume formula ...

  V = BH

is a formula for the volume of a general prism whose cross sections parallel to the base all have area B. The distance between the parallel bases is represented by H.

__

To use this formula to find the volume of a tent, the area of the end of the tent would be substituted for B, and the length of the tent (distance between the ends) would be substituted for H.

An appropriate formula would need to be used for the end area.

You are studying economic development in a small developing country. You do not have individual income data but you do have counts of how many people fall into various intervals such as 0-500, 501-1000, etc. You want a display that shows the shape of the income distribution. You should make a

A. Scatter plot
B. Pie chart
C. Bar chart
D. Histogram

Answers

Bar chart but im not sure about it

Lois made a dish with 3 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?

Answers

Answer:

8 3/4

Step-by-step explanation:

because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.

first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4

3.5/0.4

=3.5x10/0.4x10

=35/4

=8 3/4

For which values of k would the product of k/3 X 12 be greater than 12

Answers

Answer:

[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]

Step-by-step explanation:

The product of k/3 and 12 be greater than 12.

⇒ k/3 × 12 > 12

The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.

⇒ (12 × k)/3 > 12

⇒ (12 ÷ 3) × k > 12

⇒ (4) × k > 12

The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.

⇒ [4 × k]/4 > 12/4

⇒ k > 12/4

⇒ k > 3

To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.

Brainliest! :)

The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.

Answers

Answer:

[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]

Step by step explanation:

[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]

Answer:

Length 10 ft.

Width 4.5 ft.

Step-by-step explanation:

If the width is x ft then the length is 2x + 1 ft.

Area = width * length, so:

45 = x(2x + 1)

45 = 2x^2 + x

2x^2 + x - 45 = 0

2x^2 + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9)(x + 5) = 0

x = 4.5, -5.

So x = 4.5   ( as the width cannot be negative).

Therefore the dimenions of the rectangle are

width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.

PLEASE HELP FAST I WILL GIVE BRAINLIEST!

Answers

Answer:

[D] 1/14

Step-by-step explanation:

Question to answer:

What is the probability of picking an orange marble and flipping tails?

Solve:

let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:

1/2 × 1/7

→ 1 × 1 = 1

→ 2 × 7 = 14

Thus, the result is 1/14

Hence, the answer is [D] 1/14

~lenvy~

Answer:

[tex]\sf D)\quad\dfrac{1}{14}[/tex]

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}[/tex]

[tex]\implies \sf P(\textsf{tails})=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}[/tex]

Write the equation of the parabola in vertex form.
vertex (2,4), point (3,2)

Answers

Answer:

y=-3(x-2)^2+4

Step-by-step explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4   or  a = -3

So the full equation is y = -3(x-2)^2 + 4

IM CONFUSED CAN SOMEBODY HELP ME SOLVE THE EQUATION

Answers

Answer:

y = - ½(x - 2)² + 3

Step-by-step explanation:

You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.

Answers

The distance between you and your friend rounded  to the nearest tenth is 10.7 feet.

How to find the length of a triangle using cosine rule?

The distance between you and your friend can be found using cosine rule.

Therefore,

c²  =a² + b² - 2ab cos C

Therefore,

let

x = distance between him and his friend

x² = 7² + 6² - 2 × 7 × 6 cos 110°

x² = 49 + 36 - 84 × -0.34202014332

x² = 49 + 36 + 28.7296920394

x² = 113.729692039

x = √113.729692039

x = 10.6644124076

x = 10.7 ft

learn more on triangle here: https://brainly.com/question/2838446

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

160

Step-by-step explanation:

FEJ angle is the large angle and the number in red shows how big it is. Remember the whole thing is 180 degrees.

Ok so the answer is
160°
It is an obtuse angle because it is greater than 90°

Hope this helps :)

9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the screen, in feet? Give the exact solution or round your answer to the nearest tenth of a foot.​

Answers

Answer:

12.2

Step-by-step explanation:

use the Pythagorean theorem to determine the diagonal

9.9^2 + 7.2^2 = d^2

d = 12.2

9. The area of a rectangle is 12x + 15. The
length of the rectangle is 6. What is the
width of the rectangle?

Answers

Answer:

oh that's hard lol just go to the lowest number and times it on a piece of paper

simplify 24.4 / 0.002​

Answers

Answer:

12,200

Step-by-step explanation:

What is the difference between the
fastest sprint and the slowest sprint?
Fastest sprint - 12 2/4
Slowest sprint - 10 1/4

Answers

Answer:

2 1/4

Step-by-step explanation:

To find the difference, we must subtract the smaller number from the bigger one. In this case, the equation is 12 2/4 - 10 1/4.

Let us set aside the fraction and subtract 10 from 12 first.

12 - 10 = 2

Therefore, the whole number of the difference will be 2.

Let's solve for the fraction now.

2/4 - 1/4 = 1/4

Therefore, the fraction in the answer will be 1/4.

Add 2 and 1/4 to get 2 1/4, which is the answer.

I hope this helps and please mark me as brainliest!

If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 ones?

Answers

Answer:

0.1317

Step-by-step explanation:

What's the median for 0 2 4 6 8 10

Answers

Answer:

5 would be the midian

Step-by-step explanation:

You would need to add 0+2+4+6+8+10

Then count how many numbers there are (6)

Then put it in a fraction

30/6

Then divide and then you get 5

Answer:

21,67

Step-by-step explanation:

0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67

find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place​

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}[/tex]

The function f is defined as follows.
f(x) =5x² +8
If the graph off is translated vertically downward by 5 units, it becomes the graph of a function g.
Find the expression for g(x).

Answers

Answer:

g(x) = 5x² + 3

Step-by-step explanation:

8 units are added directly to each input so just subtract 5 from that to get + 3.


Work out
(4 x 10-6) - (2 x 10-8)
Give your answer in standard form.

Answers

Answer:

20x + 2

Step-by-step explanation:

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

Answers

Hope this helps lol :)

Find the missing coordinate (?, -1) for 3x -4y=11

Answers

Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Substitute -1 in place of y in the equation:

[tex]3x -4(-1)=11\\3x=7\\x=\frac{7}{3}[/tex]

Answer:

(7/3, -1)

Step-by-step explanation:

3x -4y=11

Let y = -1

3x -4(-1) = 11

3x +4 =11

Subtract 4 from each side

3x+4-4 = 11-4

3x = 7

Divide each side by 3

3x/3 = 7/3

x = 7/3

explain in depth how 12 x √3/2 = 6√3 (GCSE MATHS)

Answers

Step-by-step explanation:

I hope this helps, you can ask any question for clarification

Find the sum of the interior angle measures of a 14-gon.
The sum is___ degrees.

Answers

Step-by-step explanation:

the sum of interior angles in a triangle is 180°.

the sum of interior angles of a polygon, is the product of the number of triangles in the polygon (that can be created from a single vertex or corner via lines to all other corners) and 180°.

so, in reality, the number of triangles in each polygon is two less than the number of sides (because the lines to the 2 neighboring corners are sides and do not create triangles).

so the formula for the sum of all interior angles is

(n - 2) × 180

with n being the number of sides of the polygon.

in our case

(14 - 2) × 180 = 12×180 = 2160°

Use the graph of f(x) to evaluate the following: 2 1 x 1 IN 2 3 4 5 -1 - 1 6 The average rate of change of f from x = O to L = 2 is 2 Give your answer as an integer or reduced fraction. ​

Answers

no se cómo se hace está operación de verdad lo siento

Write an equation in slope-intercept form of the line shown.

An equation is

Answers

Answer:

y = - 1/2 x + 1

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

m, rise/run = (2 - 4)/(-2 + 6) = -2/4 = -1/2

b, y-intercept = (0, 1)

y = mx + b

y = -1/2x + 1

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