A fair coin is flipped 10 times and the sequence of heads and tails is noted. In how many outcomes are there in at least 3 tails?a. 904 b. 120 c. 176 d. 24 e. 32

Answers

Answer 1

Answer:

P(X ≥ 3) = 0.94538

Step-by-step explanation:

When flipping a coin, probability of getting a tail is p= 0.5.

Number of times flipped; n = 10

Now, this is a binomial probability distribution problem with the formula;

P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)

Probability of getting at least 3 tails is;

P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)

P(3) = 0.1172

P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)

P(4) = 0.2051

From online binomial probability calculator, we have the remaining as;

P(5) = 0.2461

P(6) = 0.2051

P(7) = 0.1172

P(8) = 0.0439

P(9) = 0.0098

P(10) = 0.00098

Thus;

P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098

P(X ≥ 3) = 0.94538


Related Questions

Solve 4|x - 3| > 8.
O A. X25
O B. x< 1 and x2 5
O c. xs1 or x2 5
O D. XS1​

Answers

Answer:

B

Step-by-step explanation:

4|x - 3| > 8=x< 1 and x2 5

i think

The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:​

Answers

Answer:

Larger is -30

Smaller is -20

Step-by-step explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer:

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30  

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Step-by-step explanation:

x + y = -50

x - y =  -10                             Add

2x = - 60                               Divide both sides by 2    

2x/2 = -60/2                         Do the division

x = - 30

=============

-30 - y = - 10                         Substitute - 30 for x in the second equation

-30+30- y = -10 + 30            Add 30 to both sides

-y = +20                                Divide by -1 on both sides

y = - 20


Sine and Cosine of any angle will always give a number less than 1. Why? (*HINT* Think about fractions and how Sine is oppositehypotenuse and Cosine is adjacenthypotenus )

Answers

Answer:

Hope this helped!

Step-by-step explanation:

The most easiest way to understand this is by considering a simple right angled triangle:-

For any right angled triangle

sin(theta)=perpendicular/hypotenuse

cos(theta)=base/hypotenuse

Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.

What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

Answer: y=2x+2

Step-by-step explanation:

If a function f is increasing on (a,b) and decreasing (b,c), then what can be said about the local extremism of f on (a,c)?

Answers

Answer:

The point (b, f(b)) is a local maximum.

The 8th term of an AP is 18 and 12 term is 26 find the 20th term​

Answers

Answer:

the correct answer is 38th terms is triple its 18th term

What is 8x to the power of 3, divided by 2x to the power of 9?

Answers

Answer:

first we have divide

8x/2x their power going to sub 3-9

4xpower-6

we have to keep than 1/4power sign going to plus

1/4 power 6

Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed. Joe overtakes Priya at 10.20 am At what time does Joe finish the route?

Answers

Answer:

12:05 PM

Step-by-step explanation:

Priya started at 9:00 AM.

Speed of Priya = 6 km/hr

Joe started at 9:30 AM.

Time at which Joe overtakes Priya = 10:20 AM

Total time taken by Priya = 1 hour 20 min = [tex]\frac{4}{3}\ hr[/tex]

Total time taken by Joe = 50 min = [tex]\frac{5}{6}\ hr[/tex]

Distance traveled by Priya and Joe is same.

Formula for distance is:

[tex]Distance =Speed\times Time[/tex]

Distance covered by Priya = [tex]6 \times \frac{4}{3}[/tex] km

Let speed of Joe = [tex]S[/tex] km/h

Distance covered by Joe = [tex]S \times \frac{5}{6}[/tex]

[tex]S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr[/tex]

Total distance to be covered = 16.8 km

Total time to be taken by Joe =

[tex]\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours[/tex]

1.75 hours mean 1 hour and 45 minutes.

Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM

The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?

Answers

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

Find the y-intercept of the folowing equation. Simplify your answer

19x + 8y=7​

Answers

Answer:

y-intercept occurs when x = 0

19x + 8y=7​

19*0 + 8y = 7

y -intercept = (0, 7/8)

Step-by-step explanation:

please please help it’s due today

Answers

The slope is 3/2. The slope perpendicular to that would be -2/3

PLEASE HELP!!!!
The state of Texas did a random sample of the weight of 15 year old boys. The 10 boys they sampled had a total weight of 1250 pounds. What is the best guess (point estimate ) for the average weight of 15 yearold boys in Texas?

Answers

1250/10=125

Hope this helps and have and AWESOME night!!! :)

Let f(x)=2x+7 and g(x)=3x2+2 Find f(g(3))

Answers

The answer is 65

I hope it will help

The required simplified solutions of the function f(g(3) ) = 65.

Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65

Thus, the required simplified solutions of the function f(g(3) ) = 65.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

What is 9x for x = 4

Answers

Answer:

36

Step-by-step explanation:

9x is equal to 9 multiplied by x.

x=4 so it is 9 x 4

9 x 4=36

Solve the inequality for u.
4.
u>6
9
Simplify your answer as much as possible.

Answers

Answer:

u ≤ -27/2

Step-by-step explanation:

hope this helps

Brett can swim 5 laps in 16 minutes. How many laps can he swim in 48 minutes?

Answers

I believe it’s 20 laps

y=3x + 4
What is the slope?​

Answers

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work

Thank you

Please try to answer quickly thanks!

Reward is 16 Brainly points ;)

Answers

Answer: $8.4

Step-by-step explanation:

To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.

Is the network in d) an Euler circuit? Can this network can be traversed?
...
А
B
А
B
b)
G
X
F
H
H
E
D
D
А
E B
А
B
d)
G
E
F
DF
C
D
C

Answers

Answer:

If a graph is an Euler Circuit that mean that it can be traversed and begins and has all even verticies.  This allows you to start and stop at the same verticie.

Step-by-step explanation:

The first term of a sequence is 9 and the common difference is 5. Which of the following is the fifth term of the sequence?

Answers

Answer:

29

Step-by-step explanation:

9+5=14+5=19+5=24+5=29

Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f ​

Answers

Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f

Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.

Answers

He walk 4 miles a day

what is 882992+2899992237×2222÷29727

Answers

Answer:

217648314.791

Step-by-step explanation:

Answer:

217648314.791

Step-by-step explanation:

Multiply first and then divide and then you add the numbers together.

PLEASEEE HRLPPPPPHELPPP PLEASEE :(((

Answers

Answer:

it's either the 1st choice or 4th

×5=30
×5=300
×5=3,000
×5=30,000
×5=300,000
×5=3,000,000
×5=30,000,000

Answers

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From up to down :

[tex]6[/tex]

_________________________________

[tex]60[/tex]

_________________________________

[tex]600[/tex]

_________________________________

[tex]6,000[/tex]

_________________________________

[tex]60,000[/tex]

_________________________________

[tex]600,000[/tex]

_________________________________

[tex]6,000,000[/tex]

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Answer:

1. 6

2. 60

3. 600

4. 6,000

5. 60,000

6. 600,000

7. 6,000,000

Step-by-step explanation:

please some help me with this.​

Answers

X=14

every triangle equals 180 when adding all the angles together 72+36 = 108 So 180-108 = 72 (also note this is an isosceles triangle)

Now 72-16 = 56
56÷4 = 14

Let f be the function defined as follows.(a) Find the differential of f.dy =(b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.)dy =(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)Δy=

Answers

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Answers

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

find the sum of the series -10-5-0+......+75​

Answers

Okay so the sum is basically higher numbers example.
The explanation

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?

Answers

Answer:

180

Step-by-step explanation:

just add 174 to 3 +3 then ya will find ya andwer

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