an online spinner has two colored regions--blue and yellow. according to the website, the probability that the spinner lands in the blue region on any spin is 0.80. Assume for now that this claim is correct. Suppose we spin the spinner 12 times and let x = the number of times it lands in the blue region.


Explain why X is a binomial random variable.​

Answers

Answer 1

Answer:

Skewed Left :)

Step-by-step explanation:

Correct on Edge 2021

Answer 2

The probability of success (p = 0.8) in each trial remains constant.

The trials are independent. This implies that the outcome from one trial has no effect on the outcome to be obtained from any other trial.

Each trial results in only two possible outcomes, labeled as the success ( Blue ) and failure ( Not blue ).

The experiment is performed a fixed number of times (n=12).

The X is a binomial random variable is 0.1329.

Given that,

An online spinner has two colored regions--blue and yellow.

According to the website, the probability that the spinner lands in the blue region on any spin is 0.80.

Assume for now that this claim is correct. Suppose we spin the spinner 12 times.

We have to determine,

X is a binomial random variable.​

According to the question,

The experiment is performed a fixed number of times (n=12).

Each trial results in only two possible outcomes, labeled as the success ( Blue ) and failure ( Not blue ).

The trials are independent. This implies that the outcome from one trial has no effect on the outcome to be obtained from any other trial.

The probability of success (p = 0.8) in each trial remains constant.

Therefore,

Number of trials: n = 12

Probability of success: p = 0.8

Let, x be the number of successes ( Blue ) in 12 trials.

The probability function of X:

[tex]P(X=x) = \ ^nC_x \times P^x \times (1-p)^{n-x}[/tex]

To find P(X = 8). Interpret this value in context.

At x = 8

[tex]P(X=8) = \ ^{12}C_2 \times (0.8)^{8} \times (1-0.08)^{12-8}\\\\P(X=8) = \dfrac{12!}{10!\ 2!} \times (0.8)^8\times (0.92)^4\\\\P(X=8) = 495 \times (0.167) \times (0.0016)\\\\P(X=8) = 0.1329[/tex]

Hence, The X is a binomial random variable is 0.1329.

To know more about Binomial click the link given below.

https://brainly.com/question/20910900


Related Questions

solve the system of equations​

Answers

Answer:

x= -8

y=7

Step-by-step explanation:

make it so the x's cancel out

to do this multiply the bottom equation by 2

2x+3y=5

2x+4y=12

subtract to cancel out the x

-y=-7

y=7

now substitute y into one of the equations(I'm going to do x+2y=6)

x+2(7)=6

x+14=6

x=-8

Multiply the bottom equation by -2

2x + 3y = 5
-2x + -4y = -12
-y = -7
y = 7

x + 2(7) = 6
x + 14 = 6
x = 6 - 14
x = -8

x = -8, y = 7
(-8,7)

PLEASE HELP making brainiiest if correct

Answers

Answer:

The Right answer is ASA.

There are 178 more bikers than hikers if there are 676 people in the park total how many people are hikers?

Answers

Answer:

The total number of hikers are 427

Step-by-step explanation:

Let:

The number of bikers = x

The number of hikers = y

There are 178 more bikers than hikers

y = x + 178

if there are 676 people in the park total how many people are hikers?

Hence:

x + y = 676

we substitute x + 178 for y

x + x + 178 = 676

2x + 178 = 676

2x = 676 - 178

2x = 498

x = 498/2

x = 249

y =x + 178

y = 249 + 178

y = 427

Therefore:

The number of bikers = x = 249

The number of hikers = y = 427

The total number of hikers are 427

What is the sum of 12 – 5i and –3 + 4i?

A. –16 + 63i
B. 9 – i
C. 9 – 9i
D. 15 – 9i

Answers

Answer:

B. 9 - i

Step-by-step explanation:

Combine the real and imaginary parts in numbers 12 - 5i and -3 + 4i

(12 + 5i) + (-3 + 4i)

12 - 3 + (-5 + 4)i

Add 12 to -3. Add -5 to 4.

9 + (-i)

9 - i

CAN SOMEONE PLEASE HELP ME!!!

Answers

what’s the question?
Help with? Where’s the problem?

What is the answer? Does anyone know?

Answers

Answer:

the answer is C <3

Step-by-step explanation:

Two complementary angles have measures of `s` and `t`. If `t` is 9 less than twice `s`, what are the measures of each angle?

The value of s and t.
with work explaining.

Answers

Answer:

s measures 33° and t measures 57°.

Step-by-step explanation:

Since the two angles s and t are complementary, this implies that:

[tex]m\angle s+m\angle t=90[/tex]

We are given that t is 9 less than twice s. Hence:

[tex]m\angle t=2m\angle s-9[/tex]

We can substitute this into the first equation:

[tex]m\angle s+(2m\angle s-9)=90[/tex]

Solve for s. Combine like terms:

[tex]3m\angle s-9=90[/tex]

Adding 9 to both sides yields:

[tex]3m\angle s=99[/tex]

And dividing both sides by 3 gives us that:

[tex]m\angle s=33^\circ[/tex]

Returning to our second equation, we have:

[tex]m\angle t=2m\angle s-9[/tex]

So:

[tex]m\angle t=2(33)-9=66-9=57^\circ[/tex]

So, s measures 33° and t measures 57°.

Answer:

Two complementary angles have measures of `s` and `t`.

Hence, s+t=90°

`t` is 9 less than twice `s`, t=2s-9

According to the above problem,

→s+t=90

→s+2s-9=90

→3s=99

→s=99/3

s=33

Therefore, the value of s=33°and t=2(33)-9 = 66-9 = 57°.

help me pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

for part A the answer is B and for part B I think the answer is B too.

Which of the following represents a function?
(5, 1), (5, 2), (5, 3), (5, 4)
(3, 4), (-3, 2), (3, 8), (5, 5)
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(2, 3), (4, 3), (-2, -3), (-4, -3)

Answers

The fourth one since it will pass the vertical test.

how do you solve 5/2 b - 2 3/4 = 7 1/4

Answers

5/2 b - 2 3/4 = 7 1/4

5/2•b - (2 + 3/4) = (7 + 1/4)

10b = 40

b = 4

Please help im desperate

Tickets to a freshman basketball game are $5 for students and $8 for adults. Last week 64 tickets were sold to the game for a total of $461. How many of each ticket were sold?

Answers

Answer:

Step-by-step explanation:

Let s be number of students and a be number of adults.

a + s = 64 -> 5a + 5s = 320

8a + 5s = 461

(8a + 5s) - (5a + 5s) = 461 - 320

3a = 141

a = 47

a + s = 64 -> s + 47 = 64 -> s = 17

Please thank, rate 5, and give brainliest if helpful!

Answer:

a + s = 64 -> 5a + 5s = 320

8a + 5s = 461

(8a + 5s) - (5a + 5s) = 461 - 320

3a = 141

a = 47

a + s = 64 -> s + 47 = 64 -> s = 17

give brainliest if helpful!

(-1) 1001 integers .solve this

Answers

Answer:

-1

Step-by-step explanation:

(-1)^1001

= (-1)^1000 * (-1)^1

Since -1 raise to the power of an even number gives a positive value, then;

(-1)^1000 = 1

(-1)^1000 * (-1)^1 = 1 * -1

(-1)^1000 * (-1)^1 = -1

Hence (-1)^1001 = -1

Charlene is a writer going on a trip. She is bringing several copies of her latest book in her suitcase. The suitcase itself weighs 5 pounds, and each book weighs 3 pounds. Her full suitcase can weigh no more than 50 pounds. Explain and defend if Charlene will be allowed to bring 20 books with her. Write an equation or inequality to represent the problem situation.

Answers

Answer:

The answer is 5 + 3x  ≤ 50

Step-by-step explanation:

5 + 3x ≤ 50 - 5

3x ≤ 45

 Divide by 3,  x = 15

Solve for u. 11u - 9u = 8

Answers

Answer:

u = 4

Step-by-step explanation:

2u = 8

u= 8/2

u= 4

therefore u = 4

Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, returning it to the box, and then picking a blue marble?
A) 1/12
B)1/30
C)1/36
D)1/11

Answers

the answer is 1/12 but i need 20 characters so jsnsnjdjdndjdjdj

challenge question
please help

Answers

Answer:

The 3 possible values of x are;

6, 4 and 2

Step-by-step explanation:

If the triangle is isosceles, then two of the sides must be equal

So we equate the sides, 2 at a time to get the different values of x

3x + 4 = 2x + 10

3x-2x = 10-4

x = 6

3x + 4 = x + 12

3x-x = 12-4

2x = 8

x = 8/2 = 4

2x + 10 = x + 12

2x - x = 12-10

x = 2

Ms. Oliver's class is making pillow cases. Each pillow case uses 3/4 of a yard of fabric. How many pillow cases can they make out of 12 1/2 yards of fabric?

Answers

It would be 16 2/3 as a mixed number

Find the volume of a cube that has a side length of:
6x²y5

Answers

Answer:

Are this form 1 question

Answer:

V= a³

V=(6x²y⁵)³

V= 216x⁶y¹⁵

Step-by-step explanation:

An item costs $360 before tax, and the sales tax is $14.40.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer: 4.00%

Step-by-step explanation:

Before Tax Price: $360.00

Sale Tax: 4.00% or $14.40

After Tax Price: $374.40

Answer:

4% sales tax or 360 times 0.04 is 14.40 as tax.

Step-by-step explanation:

Hope this helps! :)

convert the following into percentage. 1)2.98. 2)7/36. 3)3is to 4/5. d)7.35.​

Answers

298% 19.4% 80% 735%

In order to determine her pulse rate, June’s nurse counted 18 beats in her pulse in 15 seconds. At this rate, how many beats would she have in 60 seconds?

Answers

In this Problem you can use the Cross Multiplication.

If in 15 seconds the nurse counted 18 beats, so in 60 seconds she will count x beats.

15 seconds = 18 beats

60 seconds = x beats

You use the cross multiplication and multiply 60 by 18 and 15 by x, so you get:

15x = 60 * 18

15x = 1080

Then, you divide 15x and 1080 by 15 each, so you get:

x = 72

So, the Nurse counted 72 beats in 60 seconds

Yourwelcome :)

Answer: 72 bmp

Step-by-step explanation: multiply by 4 because 15 goes into 60 4 times

8 = a -2
What does a equal

Answers

Answer:

a = 10

General Formulas and Concepts:

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 Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

8 = a - 2

Step 2: Solve for a

Add 2 on both sides:                    10 = aRewrite:                                          a = 10

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Substitute in a:                    8 = 10 - 2Subtract:                              8 = 8

Here we see that 8 does indeed equal 8.

∴ a = 10 is the solution to the equation.

a=10


8 = a-2
+2= a +2
a=10

Use the side-splitter theorem to solve for x in the triangle below.

Answers

I thing x=7
Hope it help full

From 20 to 30 students Percent increase

Answers

There is a 50% increase

GUYS I NEED HELP AGAIN

Answers

Answer:

C

Step-by-step explanation:

-10 - 6x > 26

+10          +10

-6x > 36

-6     -6

When you multiple/divide by a negative you have to flip the sign

x < -6

Answer:

c

Step-by-step explanation:

Given

- 10 - 6x > 26 ( add 10 to both sides )

- 6x > 36

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

x < - 6 → c

Consider the differential equation dy/dx = xy. Let y = f(x) be the function that satisfies the differential equation with initial condition f(1) = 1. Use Euler's Method, starting at x = 1 with a step size of .1, to approximate f(1.2).

Answers

Answer:

[tex]f(1.2)=1.221[/tex]

Step-by-step explanation:

From the question we are told that

[tex]dy/dx = xy[/tex]

Initial condition[tex]f(1) = 1.[/tex]

[tex]x = 1[/tex]

[tex]Step\ Size\ of\ 0.1[/tex]

Generally equation for [tex]y_1[/tex] is given mathematically as

[tex]f_0=F(1,1)=1[/tex]

Therefore

[tex]y_1=y_0+hf_0[/tex]

[tex]y_1=y_0+(0.1)(1)[/tex]

[tex]y_1=1.1[/tex]

Generally the approximation of the solution is mathematically given by

[tex]x=1+h\\x=1+0.1\\x=1.1[/tex]

[tex]y=1.1[/tex]

Generally the [tex]f_1[/tex] is mathematically given by

[tex]F_1=f(1.1,1.1)\\F_1=1.21[/tex]

Generally the [tex]y_2[/tex] is mathematically given by

[tex]y_2=y_1+hf_1\\y_2=1.1+0.121\\y_2=1.221[/tex]

Generally the approximation to the solution

at

[tex]y_2=1.221[/tex]

[tex]x_2=1.1+0.1\\x_2=1.2[/tex]

Therefore

[tex]f(1.2)=1.221[/tex]

Express in the form 1 : n . Give n as a decimal. 20 : 15

Answers

Answer:

1 : 0.75

Step-by-step explanation:

Given the ratio

20 : 15 ← divide both parts by 20

[tex]\frac{20}{20}[/tex] : [tex]\frac{15}{20}[/tex]

= 1 : 0.75

Answer:

n=0.75

Step-by-step explanation:

. Mr. and Mrs. Collins took their son and his 7 friends to the movies in Philadelphia. Each of the 8 tickets cost the same amount of money. They spent $22.00 for parking their van. Mr. and Mrs. Collins are charged a total of $118.00 for parking and tickets. Mr. and Mrs. Collins do not watch the movie. What is the price of each ticket to the movies

Answers

Answer:

$12

Step-by-step explanation:

amount spent for 8 movie tickets is equal to 118 - 22 = 96

divide 96 by 8 to get per movie ticket cost of $12

The price of each ticket to the movies is $12

MARKING PEOPLE AS BRIANLIST

What type of triangle is this?

Answers

Answer:

i think thats an obtuse triangle

Step-by-step explanation:

Answer: its an obtuse triangle

Step-by-step explanation:

2 Which of the following is the equation of the straight line with slope of 2 and with the same y-
intercept as that of the line represented by the equation y = 4x - 2?
F
1
y = 2x +
G
1
y = 4x -
2
Hy = 4x + 2
Jy = 2x - 2

Answers

Answer:

y = 2x-2

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and b is the y-intercept

For the second equation, we can see that the y-intercept value is -2

So using the slope 2, we write the complete equation as;

y = 2x - 2

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