If a fair coin is tossed 6 times, what is the probability, rounded to the nearest thousandth, of getting at least 3 heads?

ANSWER IS 0.656

Answers

Answer 1

Answer:

Step-by-step explanation:

For each outcome there are

s!/(n!(s-n)!) combinations

where s is the number of selections and n is the number of specific outcomes

The probability of any specific outcome for 6 tosses of a coin is (1/2)^6

[(1/2)^6]*[(6!/6!)+(6!/(5!)+(6!/(4! 2!)+(6!/(3! 3!)]

(1/2)^6*(1+6+15+20)

42(1/2)^6

42(1/64)

42/64

21/32 which is 0.65625

0.656 (rounded to nearest thousandth)


Related Questions

draw a number line and make ticks that are 1cm apart from-6 to7​

Answers

from left side of the line to the right, with even spaces in between: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7

help please????????????​

Answers

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12

Pythagorean therom HELPPPO

Answers

Answer:

6

Step-by-step explanation:

change up the formula so:

sqrt (10^2-8^2)= 6

PLEASE HELP ME I AM SO LOST
2+2=?
please i am desperate this is due today

Answers

Answer:

I think 4?????

Step-by-step explanation:

I don't know

Answer:

...

2 + 2 = 4

hope that helps...

Please help. I will give brainliest to correct answer.

Answers

Answer:

The area of a square with side length of 2 inches is 4 square inches.

The area of a circle with radius 1.2 inches is:

[tex]\pi \times (1.2) ^{2} \\ = 3.14 \times 1.44 \\ = 4.5216 \: square \: inches[/tex]

That is approximately 4.5 square inches.

Hence, the area of the square (4) is less than {<} that of the circle (4.5)!

I need help to know the volume

Answers

Answer:

167.55 ur welcom

Find the value of y when x=-5
y=7x

Answers

Answer:

y = -35

Step-by-step explanation:

y=7 * -5

7 *-5 = -35

y = -35

Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:2
She needs to make 35 litres of punch for a party.
How much of each ingredient does she need?
Fruit juice =
Lemonade =​

Answers

Answer:

fruit-21

lemonade -14

Step-by-step explanation:

to find out how many parts you have you add 3 and 2 together, this gives you 5, 36÷5=7 so for every 1 of each you have 7, 3×7=21, 2×7=14

Answer:

Step-by-step explanation:

F/L=3/2

F=3L/2

F+L=35, using F found above makes this become

3L/2+L=35

3L+2L=70

5L=70

L=14, since F=3L/2

F=3(14)/2

F=21

So she needs

Fruit juice=21 liters

Lemonade=14 liters

The diameter of the circular track at the Jr. High School is 300 feet. If Erica walks around the track three times, how far did she walk?

Answers

Answer:

900 feet

Step-by-step explanation:

300x3=900 she walked 900 feet

PLEASE ANSWER ASAP. I'LL GIVE BRAINLIEST
Prove: If two chords of a circle have a common endpoint and form congruent angles with the radius drawn to that endpoint, then the chords are congruent.

Answers

Answer:

.

See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

What is the measure of angle 3?

Answers

the measure of angle 3 is 90

Can someone plsss help mee :(

Answers

Answer:I think it is 89

Step-by-step explanation:

Emma's Pizza can make 12 pizzas in 40 minutes. How many pizzas can they make in 5 hours?

Answers

Answer:

90

Step-by-step explanation:

Change 5 hours to minutes. (5x60, and 300 minutes)

Divide 300 by 40. (7.5)

Then, multiply 7.5 by 12 (90)

Answer:

90 pizzas

Step-by-step explanation:

We know 5 hours = [tex]5\times60 = 300[/tex] minutes

If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.

Emma can make 12 pizzas in 40 minutes.

So she can make 6 pizzas in 20 minutes (in half time)

In 1 period she makes 6 pizzas.

In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)

Erika decided to compare her observations to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period. Explain how she would calculate the difference between how much the water level fell in the part of the river she observed.

Answers

Answer:

Change in water level over thr period Given is 11.16 mm

Step-by-step explanation:

The change in water level. In the part of the river observed will be ;

Water level. = The rate of change in water level per year * period

Rate of change in water level = 1.8mm /year

Number of years = 6.2

The change in water level is thus :

1.8 mm / year * 6.2 years

= (1.8 mm / year * 6.2

= 11.16 mm

Please help me solve “Expand log3 4x”

Answers

Answer:

Look below.

Step-by-step explanation:

Log3^4x

4xLog3 ------> To expand you would take the exponent and put infront of Log

This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.

The expansion of the given logarithm [tex]\mathbf{Log_3 (4x^2)}[/tex] is [tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]

What is the expansion of the logarithm?

A Logarithm is an exponent to which a base must be raised in order to result in a given number. The expansion of the logarithm takes a predictable approach and set guidelines.  

Using the set formula for solving logarithms;

[tex]\mathbf{log_a(x^n) = n \ log_a \ x}[/tex]

Let's assume that the correct equation given is:
[tex]\mathbf{=Log_3 (4x^2)}[/tex]

Using the above formula, we have

[tex]\mathbf{= 2 Log_3 (4x)}[/tex]

By expansion;

[tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]

Learn more about logarithm here:

https://brainly.com/question/237321

what is the difference between 2/4 and 4/9

Answers

The different between 2/4 and 4/9 is 2/36. i got my answer by changing the two fractions so that they have common denominators. i did this by checking if they have common multiples and they did. the common multiple is 36. so first, i turned 2/4 into 18/36 by multiplying 2 by 9 and multiplying 4 by 9. then, i did the same for 4/9. hope this helped!

Answer:

Step-by-step explanation:

Here's how to subtract 4/9 from 2/4:

[tex]\frac{2}{4} -\frac{4}{9}[/tex]

Step 1:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 2 by 9, and get 18.

Then we multiply 4 by 4, and get 16.

Next we give both terms new denominators -- 4 × 9 = 36.

So now our fractions look like this:

[tex]\frac{18}{36} -\frac{16}{36}[/tex]

Step 2

Since our denominators match, we can subtract the numerators.

18 − 16 = 2

So the answer is:

[tex]\frac{2}{36}[/tex]

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

[tex]\frac{2}{36}[/tex]÷2=[tex]\frac{1}{8}[/tex]

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

[tex]\frac{1}{8}[/tex]

I hope this helps      :)

A traingle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?

Answers

Answer: A (-2,0) --> (-8,0)

B(-4,4) --> (-16,16)

C(1,6)--> (4,24)

Step-by-step explanation:

Multiply each coordinate by 4

A (-2,0) --> (-8,0)

B(-4,4) --> (-16,16)

C(1,6)--> (4,24)

The new locations of the coordinates after dilation by a scale factor of 4 as

A (-2,0) ⇒ (-8,0)

B(-4,4) ⇒ (-16,16)

C(1,6) ⇒ (4,24)

What is dilation?

Dilation is a process for creating similar figures by changing the size.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

As we know dilation factor is the ratio of sides in the original image and the image after dilation.

Dilation factor = 4

Multiply each coordinate by 4

A(-2,0) ⇒ (-8,0)

B(-4,4) ⇒ (-16,16)

C(1,6) ⇒ (4,24)

Learn more about the Dilation here:

brainly.com/question/13176891

#SPJ5

When solving (5/3)^-2 What do you do first?

Answers

Answer:

steps:

(5/3)^-21 / (5/3)² (first turn the negative exponent to positive)1 × 3²/5²  (division by a fraction turned to multiplication by the multiplicative inverse of (5/3)²)3²/5²9/25

Fill in the blank



10:18=________:9

Answers

Answer:

the answer to the blank is 5

(just in case you're confused) the answer is 5:9

Step-by-step explanation:

7 3/4-2 2/5 = what is the answer

Answers

Answer:

5.35?

Step-by-step explanation:

use a calculator and check it

let’s convert these fractions to decimals!

7 3/4 = 7.75, 2 2/5 = 2.20

7.75 - 2.20 = 5.55

5.55 is your answer!

HELP PLSSS
What is the area of the figure?

Answers

Answer:

the correct answer is 126 sq. cm

Step-by-step explanation:

Area of square= side = 6cm

Area = s*s = 6*6 = 36sq. cm

Area of rectangle: length = 12cm and breadth = 6cm

Area of rectangle = length * breadth = 12 * 6 = 72sq. cm

Area of triangle: height = 6cm and base = 6cm

Area of triangle = 1/2 * base * height = 1/2 * 6 * 6 = 3* 6 = 18sq. cm

Total area of the given figure = Area of square + Area of rectangle + Area of triangle

= 36 + 72 + 18 = 126sq. cm

What is the common ratio for geometric sequence: 5,15,45,135 ?​

Answers

Answer:

the common ratio is 3

Step-by-step explanation:

to solve for the common ratio, I like to take the second term and divide it by the first term

15/5 = 3

then I will check the rest of the terms

15*3 = 45

45*3 = 135

It looks like the common ratio is correct!

factor the expression using the GCF 24-18

Answers

So you start by dividing 6 out of the expression and you get 6(4-3)

Answer:

6

Step-by-step explanation:

6 is the answer my guy

Mario spent $5.86 for a drink and a sandwich. His drink cost $1.34. How much did Mario spend on the sandwich. Create and solve an equation that represents this situation.

I think i got an answer but i want to make sure its correct

Answers

Answer:

$5.86 - $1.34 = $4.52

Step-by-step explanation:

Answer:

4.52 for the sandwich. I hope this helps!

Mary bought 4 small cookies for 40 cents each and 2 large cookies for 90 cents each how much did she spend all together

Answers

Answer:

$3.40

Step-by-step explanation:

4x.40 is 1.60

2x.90 is 1.80

Then you take 1.80+1.60 to get $3.40 Hope this helps!

Calculate the following using long division show all working 896 divided by 7

Answers

Answer:

128

Step-by-step explanation:

896

7 goes into 8 once

Subtract 7 from 8 and bring the one down.

8 goes into 19 twice

Subtract 14 from 19 and bring the five down.

7 goes into 56 eight times.

So your answer is 128.

Hope this helps

5) A cross-section of the cube is outlined in the diagram. Which two terms BEST describes the shape of the cross-section? A) square B) rectangle C) acute angles D) right triangle E) equilateral triangle

pleaseeeeee help

Answers

Answer:

It's C and E i just took the test trust me

Answer:

the person above me has the same name as my sister

Step-by-step explanation:

Hey lol can someone help with this question?

Answers

6.0 would be the answer

Leanne has 64 candies. She buys 4 more packages of
candies that each have 8 candies in them.
How many candies does Leanne have now?

Answers

Answer:

96

Step-by-step explanation:

yeee

If there are 65 seats on a bus, and only 40% of the seats are filled, How many seats
are filled?

Answers

ANSWER:
26 seats

STEP BY STEP:
40 percent of 65 is 26

I don't understand at all a really need help

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