A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one head

Answers

Answer 1

Answer:

0.205 ; 0.117 ; 0.999

Step-by-step explanation:

Using binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability of success, p = 0.5

P(x = 4) = 10C4 * 0.5^4 * 0.5^6

P(X = 4) = 0.205078125

B.) 3 heads and 7 tails

P(X = 7) = 10C7 * 0.5^7 * 0.5^3

P(X = 7) = 120 * 0.0009765625

P(X = 7) = 0.117

P(atleast one head)

P(x greater than equal to 1) = p(x =1) +... P(x = 10)

Using a binomial probability calculator :

P(x greater than equal to 1) = 0.999


Related Questions

Can someone help ASAP ill give you good rating

Answers

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

Solution:-

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

__________________________________________________

NOTE Refer the above attachment.

__________________________________________________

How do I do this math problem

Answers

the answer to the problem is:

M = 1

Can someone explain it to me?

Answers

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Help me what is the total volume I’ll mark brainliest!

Answers

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:


A.5,8 and 4,5
B.5,8 and 4,3
D. 4,5 and 4,3

Please help

Answers

Answer:

b

Step-by-step explanation:

What the perimeter of the triangle

Answers

Answer:

24

Step-by-step explanation:

so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o

Answer:

33b-8 is the perimeter

Step-by-step explanation:

Triangle is an Isosceles triangle so two side is equal

2(12b - 8) + 9b + 8

Distribute

24b - 16 + 9b + 8

Combine like terms

33b -8

The cost of a pair of shoes fell from $66 to $54.
What was the percentage change?

Answers

Answer:

18.18%

Step-by-step explanation:

66 - 54 = $12

% change - 12/66 * 100

simplify - 12/66 --> 2/11

2/11 * 100

200/11

18.18%

There are 4 red marbles and 7 blue marbles in a bay.

(a) What is the ratio of all marbles in the bag to blue marbles?

(b) What is the ratio of all marbles in the bag to red marbles?

Answers

Answer:

a:  11:7

b: 11:

I hope this helped :)

a: the ratio of all marbles in the bag to blue marbles is 11:7.


b: the ratio of all marbles in the bag to red marbles is 11:4

The shape below is made of a semicircle and a triangle.
2)
16 cm
12 cm
Determine the area of this shape
Show your work

Please help me I will give 10 points
Please only correct answers

Answers

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

What is a semi-circle?

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

https://brainly.com/question/10653168

#SPJ2

This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on the graph.

a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the nearest whole number.

b. Enter the approximate slope of the estimated line of best fit in the second box.

Answers

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it

Answers

Answer:

Step-by-step explanation:

At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, the angle of elevation to the top is °.

Answers

Answer:

[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]

Step-by-step explanation:

Incomplete question:

[tex]\angle CBD = 53^\circ[/tex]

[tex]\angle CAB = 35^\circ[/tex]

[tex]AB = 75[/tex]

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line

[tex]\angle ABC + 53= 180[/tex]

Collect like terms

[tex]\angle ABC =- 53+ 180[/tex]

[tex]\angle ABC =127^\circ[/tex]

[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle

[tex]\angle ACB + 127 + 35 = 180[/tex]

Collect like terms

[tex]\angle ACB =- 127 - 35 + 180[/tex]

[tex]\angle ACB =18[/tex]

Apply sine rule

[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]

In this case:

[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]

This gives:

[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]

Step-by-step explanation:

sin18

)

=

x

(sin35

)

Step-by-step explanation:

Incomplete question:

\angle CBD = 53^\circ∠CBD=53

\angle CAB = 35^\circ∠CAB=35

AB = 75AB=75

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line

\angle ABC + 53= 180∠ABC+53=180

Collect like terms

\angle ABC =- 53+ 180∠ABC=−53+180

\angle ABC =127^\circ∠ABC=127

\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle

\angle ACB + 127 + 35 = 180∠ACB+127+35=180

Collect like terms

\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180

\angle ACB =18∠ACB=18

Apply sine rule

\frac{\sin A}{a} = \frac{\sin B}{b}

a

sinA

=

b

sinB

In this case:

\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}

AB

sinACB

=

x

sinCAB

This gives:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

75

(sin18

)

=

x

(sin35

)

Which of the following represents a sum from the expression given?


A. 21
B. 2
C. 13x2
D. 13x2 + 8x

Answers

d.13x2+8x , possibly be ur answer

Write an example of a Counter Variable
in python code

Answers

Answer:

printf(“%d”, i++);

Step-by-step explanation:

Answer:

count += 1

OR

count = count + 1

Step-by-step explanation:

count = 0

numbers = int(input("Enter a number: "))

while number > 0:

    number = number // 10

    count +=1

print("Total number of digits", count)

Consider the series 1/4 1/8 1/16 1/32 What is an expression of Sn for the series shown?

Answers

Answer:

c

Step-by-step explanation:

edg 21 ^u^

Answer:

The person above me is correct. :D

Step-by-step explanation:

Can someone please help me with these couple of questions!

Answers

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

whats the answer for y=-[tex]\frac{2}{3}[/tex]x+4 and y=[tex]\frac{1}{3}[/tex]x-2

Answers

Step-by-step explanation:

[tex]y = -\frac{2}{3}x + 4[/tex]

[tex]y = \frac{1}{3}x - 2[/tex]

Since both equations are set equal to [tex]y[/tex], we can take the right-hand side of each equation and set them equal to each other to solve for [tex]x[/tex]:

[tex]-\frac{2}{3}x + 4 = \frac{1}{3}x - 2[/tex]

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

[tex]-x = -6[/tex]

[tex]x = 6[/tex]

Now we can plug this value into either equation to solve for [tex]y[/tex]:

[tex]y = \frac{1}{3}x - 2[/tex]

[tex]y = \frac{1}{3}(6) - 2[/tex]

[tex]y = 2 - 2[/tex]

[tex]y = 0[/tex]

So the solution to the system of equations is [tex](6, 0)[/tex]

what is 64x6+27 written as a sum of cubes?​

Answers

Answer:

To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.

Thus, the answer to this is (4x^2)^3 + 3^3

1000000000+1000000000

Answers

The answer to this question is 2000000000

10 TIME REMAINING 52:28 A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches. What is the length of the other leg? Round to the nearest tenth. 14.4 in. 21.7 in. 28.9 in. 43.3 in.

Answers

Answer:

14.4 in

Step-by-step explanation:

25 in is the longer leg so you have to do [tex]\frac{25}{\sqrt3}[/tex]

Answer:

14.4 on edge 2021

Step-by-step explanation:

PLLSSSSS HELPPPP I DONT GET THIS AT ALL

Answers

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.

Hope this helps :)

Gary can raise his credit score by ________.
A
never borrowing money

B
keeping his debt above 30% of his credit card limit

C
cutting up his credit card

D
paying his bills on time

Answers

Answer:

B keeping his debt above 30% of his credit card limit.

1. If AD = 25, then BC =
2. If AB = 30, then DC =

Answers

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)

a
19 = 548 and a
33 = 968
Find a
27

Answers

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. a + 18d = 548)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

-TheUnknownScientist

Solve the equation. u+3=7

Answers

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Describe how you can find the number of solutions of two or more
equations by using the slope and the y-intercept. Use vocabulary terms in
your description.

Answers

Answer:

Suppose we have a system of two linear equations, this can be written as:

y = a*x + b

y = c*x + d

Now, we have 3 possible cases here.

The solutions of the system are the points where the graphs of the linear equations do intersect.

Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.

And we know that two lines are parallel if they have the same slope and different y-intercept.

Then the system:

y = a*x + b

y = a*x + c

has no solutions.

If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:

y = a*x + b

y = a*x +b

has infinite solutions.

And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:

y = a*x + b

y = c*x + d

has only one solution.

Now, if we have more equations:

y = a*x + b

y = c*x + d

y = k*x + n

We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.

One case where we have a solution here is if the 3 equations have the same y-intercept:

y = a*x + b

y = c*x + b

y = d*x + b

where the solution is the point (0, b)

Of course, there are other possible solutions, but these are not as formulaic as this ones.

Which expression represents the perimeter of the following triangle?

Answers

The perimeter is 5x + 1

2x + x + 2 + 2x - 1
= 5x + 1

lmk if you have any questions

A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?

Answers

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

One of the great mysteries of the world is why hotdogs and hotdog buns come in packages of different sizes. Hotdogs come in packs of 8 and buns come in packs of 12 at your local store. What is the least number of each you can buy in order to have an equal number of hotdogs and buns

Answers

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

Other Questions
help please asap im confused HELP NEEDED PLSSGiven the following diagram, find the trigonometric ratios.Leave answers as reduced fractions (improper fractions are fine).BsinA=COSA = i need help please & thank you!! Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book How loss on sale of sports material is entered in Income and Expenditure Account? If sports material book value is $120 but sold at $50? Which of the following statements about vitamin A's role in the bodyis FALSE?Lycopene serves as a vitamin A precursor and acts as an antioxidant.Vitamin A and beta-carotene protect the skin from sun damage.Vitamin A maintains healthy cells in the mucous membranes.Vitamin A supports normal fetal development during pregnancy.Only one-thousandth of the body's vitamin A is in the retina. Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution. What is the solution to this inequality?I need help ASAP Need a little help :,) what are the challenges of teamwork ?, what are it's benefits? A baker deck decorates 42 cupcakes and 30 minute she decorated cupcakes at a constant rate how many cups cage the baker decorate pre-minute Definition of continental polar Was Truman's choice to use the bomb was justified? Exaplain why or why not support your answer with evidence. What was not true about British manufactured goods The theory stating that we form attitudes through observing another's behavior or through conditioning is thetheory.A elaborationB. learningC. dissonanceD. self-perception D is 111, 333, 666, 888, 101010, 111111, 131313, 131313, 161616, 181818, 191920 points will give brainliest Frankenstein Discussion Questions: Readings 1 (Letter 1 - Chapter 5) A students performance in Test 1 and Test 2 for all the 6 subjects has to be compared graphically for the current academic year. Which form of graph would be appropriate in this case? *Bar GraphHistogramDouble Bar Graph Jesus went down to the river and stood before His cousin, John the Baptist.6. What are the prepositions in this sentence?a. to, beforeb. down, to, beforec. down, before How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!