What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a percent.

What Is The Probability Of Flipping A Coin 10 Times And Getting Tails 7 Times ? Round Your Answer To

Answers

Answer 1

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

[tex]n(S) = 2^{10} \\= 1024[/tex]

Let A be the event that the tails appear 7 times:

Then,

[tex]C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\[/tex]

Converting into percentage:

[tex]P(A) = 0.1171*100=11.7%[/tex]

So, option C is correct ..

Answer 2

Answer:4.4%

Step-by-step explanation:just took it


Related Questions

Can someone please help me on my math homework

Answers

Answer:

The solution is attached below

A pizza parlor uses 42 tomatoes for each batch of tomato sauce about how many batches of sauce can the pizza parlor make from its last shipment of 1,236 tomatoes

Answers

Answer:

about 29

Step-by-step explanation:

You just need to divide 1,236 by 42, which equals = 29.4

The pizza parlor can make 29 full batches of tomato sauce from its last shipment of 1,236 tomatoes by dividing the total number of tomatoes by the number of tomatoes required for a single batch.

The question asks, how many batches of sauce can the pizza parlor make from its last shipment of 1,236 tomatoes if a single batch requires 42 tomatoes. To find the answer, we need to divide the total number of tomatoes by the number of tomatoes needed for a single batch.

Step-by-step calculation:

Identify the total number of tomatoes: 1,236.Identify the number of tomatoes needed for one batch: 42.Divide the total number of tomatoes by the number required per batch: 1,236 tomatoes ÷ 42 tomatoes per batch = 29.4285714286 batches.

Since the pizza parlor cannot make a fraction of a batch, it can make 29 full batches of tomato sauce from its last shipment of 1,236 tomatoes.

A cylindrical plastic pipe’s length is 12 cm and it’s radius is 2.5 cm. To the nearest tenth, what is the volume of the pipe?

Answers

Answer:

V = 235.6 cm³

Step-by-step explanation:

the formula for the volume of a cylinder of radius r and length h is

V = πr²h.  

Here, r = 2.5 cm and h = 12 cm, so the volume is:

V = π(2.5 cm)²(12 cm) = 75π cm³

To the nearest tenth, this volume would be V = 235.6 cm³

Answer:

volume = 235.7 cm³

Step-by-step explanation:

To find the volume of the cylindrical plastic pipe, we simply use the formula:

volume of a cylinder =  π r ² h

where r is the radius , and h is the height

From the question above, radius r = 2.5cm   h =12 cm   and π is a constant which is always equal to [tex]\frac{22}{7}[/tex]  unless specified otherwise.

Now all we need to do is to insert our values into the formula;

volume of a cylinder =  π r ² h

volume of a cylinder  =  [tex]\frac{22}{7}[/tex]  ×  2.5² × 12

                                     =    [tex]\frac{22}{7}[/tex]  ×  6.25  × 12

                                      =  [tex]\frac{1650}{7}[/tex]

                                      =  235.714

                                        ≈235.7 cm³  to the nearest tenth

Therefore the volume of the cylindrical plastic pipe is 235.7 cm³

The accompanying diagram shows a ramp 30 feet
long leaning against a wall at a construction site.
Wall
If the ramp forms an angle of 32° with the ground,
how high above the ground, to the nearest tenth, is
the top of the ramp?

Answers

Using the law of Sin

[tex]\frac{sinA}{a} \frac{sinC}{c}[/tex]

A=32°, a=?

C=90°, c= 30

[tex]\frac{sin32°}{a} = \frac{sin90°}{30}[/tex]

[tex]\frac{30sin32°}{sin90°}[/tex]  = 15.89ft

Rounded answer is 15.9 ft

The height should be 15.89 ft.

Given information:

The accompanying diagrams hows a ramp 30 feet long leaning against a wall at a construction site. And, the ramp forms an angle of 32°

Calculation of height:

Here we applied the law of sin

[tex]sin 32 \div a = sin 90 \div 30\\\\a = 15.89 ft[/tex]

Learn more about the height here: https://brainly.com/question/424967

Which data set COULD NOT be represented by the box plot shown?
A) {9, 8, 9, 6, 12, 10, 13}
B) {14, 8, 12, 10, 9, 12, 4}
C) {4, 9, 8, 11, 10, 12, 14}
D) {4, 8, 8, 11, 10, 12, 14}

Answers

Answer:

C) {4, 9, 8, 11, 10, 12, 14}

Step-by-step explanation:

Answer:

{9, 8, 9, 6, 12, 10, 13}

Step-by-step explanation:

Write the data in numerical order. Find the first quartile, the median, the third quartile, the minimum (smallest value) and the maximum (largest value).

{6, 8, 9, 9, 10, 12, 13}

Thus,

low -- 6

1st quartile -- 8

median -- 9

3rd quartile -- 12

high -- 13

Therefore, this data does not match the graph.

Shannon has 3 dogs. she buy a 40-pound bag of dog food. if Shannon splits the food evenly among the dog, how much dog food will each dog receive?​

Answers

Answer:

C

Step-by-step explanation:

Answer:

Each dog will receive 13 1/3 pounds (Answer C)

Step-by-step explanation:

To find the answer you have to divide the 40 pounds evenly between 3 dogs so the equation is x=40 pounds /3 dogs, which simplifies to 13 and 1/3 pounds which is answer C.

Hope This Helps. :)

Plz help me with this

Answers

Answer:  d) y = -2 sin 2x

Step-by-step explanation:

The general equation of a sin graph is: y = A sin (Bx - C) + D

Compare the given graph with y = sin x

There are 3 differences:

the amplitude of the new graph is 2 (A = 2)the given graph is reflected over the x-axis (A is negative)the period changed from 2π to π (B = 2)

So, the equation of the given graph is: y = -2 sin 2x

What is the answer for this question this math question

Answers

A (2, -3/2) baisicly it is is a line and it is vertical so this one is more easy.

Answer:

I believe its A.

Step-by-step explanation:

What is the approximate area of the shaded sector in the circle shown below?

Answers

ANSWER

A. 17.31in²

EXPLANATION

The area of a sector is calculated using the formula:

[tex]Area = \frac{central \: angle}{360 \degree} \times \pi {r}^{2} [/tex]

From the diagram, the central angle is:

145° and the radius is 3.7 in.

We substitute the known values to get;

[tex]Area = \frac{145}{360 \degree} \times 3.14 \times {3 .7}^{2} = 17.3{in}^{2} [/tex]

The approximate area is 17.3 in² to the nearest tenth.

When solving a quadratic in the form ax^2+bx+=0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables

Answers

Answer:

Step-by-step explanation:

zeros

Answer:

the answer is variables.

Need help with 18- 23 . I tried doing them but come up with different answers not on the paper

Answers

18. 2/7 or b

19. 3/4 or b

20. Unable to see

21. 9/20 or a

22. 1/4 or a

23. 27/35 or b

Brett painted three walls. Each wall was 9 ft tall and 12 ft long. How much wall area did he paint

Answers

Answer:

First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:

A = wl = 9 . 12 = 108 (ft²)

We also know that he painted 3 walls, we need to multiply our first result by 3, in other words, the area of wall that Brett painted is the sum of the area of three walls: 108 . 3 = 324 (ft²)

Answer:

324 ft^2

Step-by-step explanation:

ok so to calculate the area its A = wl (width x length)

9 x 12 = 108 ft^2

buuuuuut since we have 3 walls were going to have to multiply it by three as cuz 108 ft^2 is the outcome of one wall

108 ft x 3 = 324 ft^2

~batmans wife dun dun dun....

A carpet cleaner charges $0.70 per square foot to clean carpet. In the next house she is going to clean, the living room measures 18 feet by 24 feet. How much will she charge?

Answers

18 * 24 equals something that should be right then you times that by 0.70 square foot to clean the carpet and then you're going to get your total so the charge would be a number that's all I have for you today

Answer:

$302.4

Step-by-step explanation:

We are given that a carpet cleaner charges $0.70 per square foot to clean carpet.

She needs to clean a room measuring 18 feet by 24 feet and we are to calculate how much will she charge for it.

Area of the room = [tex] 1 8 \times 2 4 [/tex] = 432 square feet

Amount she will charge = [tex] 4 3 2 \times 0 . 7 0 [/tex] = $302.4

Which is a possible expression for the series
-7+12-17+22-27

Answers

Answer:

∑5n=(−1)^n(2+5n)

Hope this helps you out!

While drying, apple loses 14% of its weight. How many pounds of fresh apple is needed to get 10 8/25 lbs of dried apple?

Answers

Answer:

12lbs

Step-by-step explanation:

let x be the amount of apples you need, then:

x-0.14x= 10 8/25

0.86x = 10 8/25

(10 8/25) : 86 * 100 = x

x=12

Answer:

Total fresh apple needed = 12

Step-by-step explanation:

It is given that, While drying apple loses 14% of its weight

To find the fresh apple needed

Let x be the total fresh apple needed.

Apple loses 14% of its weight. Final we need 10 8/25 lbs of dried apple

x - 14x/100 = 10 8/25

0.86x = 10 8/25

0.86x = 258/25 = 10.32

x = 12

A single Rhinovirus is 2 × 10-8 meters long, and a single E. coli bacterium is 2 × 10-6 meters long. How many times larger is an E. coli bacterium than a Rhinovirus?

Answers

Multiply it by using scientific notation then multiply 2X0.00000010 and compare it to the coil which is 2X0.000010

Answer:

E coli bacterium is 200times larger than Rhinovirus

Step-by-step explanation:

Length of a single Rhinovirus is 2×10^-8m

Length of E coli bacterium is 2×10^-6m

This shows that E coli is larger than Rhinovirus.

To determine the number of times the E. coli bacterium is larger than a Rhinovirus, we will divide the length of E coli bacterium by that of single Rhinovirus to have:

2×10^-6/2×10^-8

= 2×10^(-6-(-8))

= 2×10^-6+8

= 2×10²

= 200

This shows that E coli bacterium is 200times larger than Rhinovirus

What is the messure of angle 4

Answers

Answer:

m∠4 = 40°

Step-by-step explanation:

Using the vertical angle theorem we can find that...

m∠6 ≅ m∠7

[tex]11x+8=12x-4 \\ \\ x=12[/tex]

[tex]11(12)+8 \\ 132+8 \\ 140[/tex]

Using this, we know that angle 6 and 8 are supplementary so...

m∠6 + m∠8 = 180°

140° + m∠8 = 180°

m∠8 = 40°

Then, we can use the corresponding angle theorem to find that...

m∠8 ≅ m∠4

m∠4 = 40°

the measure of angle 4 is 40

What’s three points that satisfy the system of inequality’s of 4x+6y<24

Answers

Answer:

(0,0), (1,1), (2,2)

Step-by-step explanation:

When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).

In this case:

4x+6y<24 ==> 0 + 0 < 24  TRUE, it satisfies the inequality.

We then try with (1,1):

4x+6y<24 ==> 4 + 6 < 24  TRUE, it satisfies the inequality.

And with (2,2):

4x+6y<24 ==> 8 + 12 < 24  TRUE, it satisfies the inequality.

F(x) = x^2. What is g(x)?

Answers

Answer:

The correct answer is C. g(x) = 1/4x^2

Step-by-step explanation:

In order to determine if the graph fits, take the point that is given on the parabola and see if it fits the equation. To do that we plug it in and see if it gives a true statement.

(2, 1)

g(x) = 1/4x^2

1 = 1/4(2)^2

1 = 1/4(4)

1 = 1 (TRUE)

Answer:

C, g(x) = 1/4x²

Step-by-step explanation:

the parent function of g(x) is the function f(x) = x² as shown on the graph

with the coefficient 1/4 in front of the parent function, we can determine its transformation.

it is a vertical shrink by 1/4 of the original graph. the reason why we know this is because a vertical shrink/stretch has a coefficient on the outside of the parent function (as shown in g(x)) and if we follow the rule:

b > 0 < this is a vertical stretch

b < 0 < this is a vertical shrink

b in this function is 1/4, which is less than 0

What is the volume of the cone with radius 4 feet in height 10 feet round to the nearest cubic foot

Answers

Answer:

168 cubic feet.

Step-by-step explanation:

Equation for volume of cone 1/3*pi*r2*h (abbreviated as 1/3*b*h)

1/3*pi*4^2*10

=1/3*pi*16*10

=1/3*pi*160

=167.551608191

~=168 cubic feet.

~= is approximately, rounded.

The volume of the cube is 168 cubic feet.

Given information:

radius 4 feet in height 10 feet

Calculation of volume of cone:

Since the volume of a cone is

[tex]= 1\div 3\times \pi\times r^2\times h\\\\= 1\div 3\times \pi\times 4^2\times 10\\\\=1\div 3\times pi\times 16\times 10\\\\=1\div 3\times \pi\times 160[/tex]

=167.55

= 168 cubic feet.

Learn more about the cone here: https://brainly.com/question/864985

To find the letters

Answers

Answer:1, -1,3,-7

Step-by-step explanation:

For this case we must subtract the given matrices and find the values of a, b, c and d:

Subtracting term from term we have:[tex]a = 5-4 = 1\\b = 2-1 = 1[/tex]

We have that different signs are subtracted and the sign of the major is placed.

[tex]c = 3-6 = -3\\d = 0-7 = -7[/tex]

Answer:

[tex]a = 1\\b = 1\\c = -3\\d = -7[/tex]

PLZ HELP ME FAST HURRY

Answers

Answer:

Power: (1/5)^3, 2^6

Expanded: 5x5, 6x6x6, 3x3x3/4, 2x2x2x2x2x2

How to say it: 5 raised to the 2nd power, 6 raised to the 3rd power, 3 raised to the 3rd power over 4

Value: 25, 216, 1/125, 9/4, 64

Step-by-step explanation:

jordan is making a model of Mount Saint Helens for a science project. The height of the actual volcano is about 2,500 meters. She uses a scale of 250 meters equals one centimeter. What is the height of the volcano in Jordan's model? ​

Answers

Answer: 10 centimeters

Step-by-step explanation:

Answer: 80.0 cm^2

Step-by-step explanation:

We need to assume that the shape of the model is a cone or pyramid, something that tapers linearly to a point. Then its volume is given by the formula ...

V = 1/3Bh

where B is the area of the base, and h is the height. Filling in the given numbers, we have ...

586.7 = (1/3)B(22)

Dividing by the coefficient of B gives ...

B = 3(586.7)/22 = 80.0 . . . cm^2

The area of the base of the model is about 80.0 cm^2.

the cost of 3 large drinks and 2 small drinks does $21. for $22, you can get 2 large drinks and 4 small drinks. what is the cost of each drink of the size of drinks?​

Answers

Answer:

The cost of large drinks are $5 and the small drinks are $3

Step-by-step explanation:

5+5+5+3+3=21

(2)5+(4)3)=22

Answer:This answer is not copied

Step-by-step explanation:5+5+5+3+3=21

(2)5+(4)3)=22

help me thx if u do <3 :3

Answers

Answer:

The answer is x=40

Step-by-step explanation:

Answer:

It's x = 40 that's correct.

In this case, we're looking for a number that is higher than 10. We can't say 29, 37 or 47 but 40

Step by step explanation:

x / 4 > 10

Carry over the 4 and you'll get 4 × 10 -> x = 4 × 10 = 40

Therefore x = 40

Can someone help me with this?

Answers

Answer:

E. 0.6

C -1/10

A -4/5

B -0.5

F 9/10

D 1/5

Step-by-step explanation:

Solve 3^x+1 = 15 for x using the change of base formula log base b of y equals log y over log b

Answers

Answer:

x= 1.46497

Step-by-step explanation:

[tex]3^{x+1} = 15[/tex]

To solve this , first we convert the exponential form in to log form

[tex]if \ a^x=b \ then \ log_a(b)=x[/tex]

[tex]3^{x+1} = 15[/tex] becomes [tex]log_3(15)= x+1[/tex]

now we apply change of base formula to remove base 3

[tex]log_b(y)= \frac{log y}{log b}[/tex]

like that log_3(15) becomes

[tex]log_3(15)= \frac{log 15}{log 3}[/tex]

[tex] \frac{log 15}{log 3}= x+1[/tex]

2.46497=x+1

subtract 1 from both sides

x= 1.46497

Answer:

The value of x is 1.46.

Step-by-step explanation:

Given : Equation [tex]3^{x+1}=15[/tex]

To find : Solve for x using the change of base formula log base b of y equals log y over log b ?

Solution :

Equation [tex]3^{x+1}=15[/tex]

Applying the logarithmic property,

[tex]a^x=b\Rightarrow \log_a(b)=x[/tex]

[tex]3^{x+1}=15\Rightarrow \log_3(15)=x+1[/tex]

Applying change base formula in LHS,

[tex]log_b(y)= \frac{log y}{log b}[/tex]

[tex]\frac{log 15}{log 3}=x+1[/tex]

[tex]2.46=x+1[/tex]

[tex]x=2.46-1[/tex]

[tex]x=1.46[/tex]

Therefore, the value of x is 1.46.

(ASAP PICTURE ADDED) What is the simplified form of the following expression?

Answers

Answer:

option c is correct.

Step-by-step explanation:

[tex]7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)[/tex]

WE need to simplify this equation.

Solve the parenthesis of each term.

[tex]=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right[/tex]

Now, We will find factors of the terms inside the square root

factors of 2: 2

factors of 16 : 2x2x2x2

factors of 8: 2x2x2

Putting these values in our equation:[tex]=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)[/tex]

Adding like terms we get:

[tex]=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\[/tex]

[tex](\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)[/tex]

So, option c is correct

What that person said so basically C

The ratio of 42cm to 3m

Answers

Answer:

7:50

Step-by-step explanation:

We need both measures in the same units. Let's convert meters to cm.

1 m = 100 cm, so 3 m = 300 cm

Now we write the ratio and reduce it.

42 cm to 3 m =

= 42 cm to 300 cm

= 42:300

= 14:100

= 7:50

Logan bought 30 pounds of ground beef. He then cooks 12 pounds of it it for supper. The next day he cooks 17 pounds of the meat for lunch. How many pounds of ground beef does Logan has?

Answers

Answer:

1

Step-by-step explanation:

Logan bought 30 pounds of ground beef so then he cooks 12 pounds so 30-12=18

the next day he cooks 17 pounds of meat for lunch so 18-17=1

pls mark as brainliest

After cooking the beef for supper and lunch, Logan has 1 pound of

ground beef remaining.

Initial Amount: Logan bought a total of 30 pounds of ground beef.

Cooking for Supper: He cooked 12 pounds for supper.

To find out how much he has after this meal, we subtract the weight of

the cooked beef from the initial amount

[tex]30 \text{ pounds} - 12 \text{ pounds} = 18 \text{ pounds}[/tex]

Cooking for Lunch: The next day, he cooked 17 pounds for lunch.

We need to subtract this amount from the remaining beef:

[tex]18 \text{ pounds} - 17 \text{ pounds} = 1 \text{ pound}[/tex]

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