A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the third toss is heads. Use the format to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas.

Answers

Answer 1

Answer:

Sample space:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Third toss is heads:

{HHT, HTT, THT, TTT}

First toss is heads, second tails and third heads:

{HTH}

Explanation:

In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.

{HTH}


Related Questions

5/6 minus (- 3/4)
HELP PLS

Answers

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

PLS HELP!!

What is the volume, in cubic centimeters, of a cube with an edge length of 15
centimeters?

Answers

Answer:

3375

Step-by-step explanation:

The formula for volume is

volume = length x height x width

or in simpler terms (only works for cubes i think)

v = a^3

so we know that the side is 15cm long, so we substitute that back into the equation, so,

3375 = 15 x 15 x 15

or

3375 = 15^3

I hope that this helps you out :)

Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2​

Answers

Answer:

0

Step-by-step explanation:

L Hospital's rule states that as long as u have the form

of infinity / infinity or 0/0 in general you can take its derivative to find the limit.

In this case as X tends to 0, the numerator tends to 0

Denominator will also tends to 0.

We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives

(2x - 2SinxCosx) / 2x | lim x -> 0

= (2x - Sin2x) / 2x | lim x -> 0

Based on this equation, as x tends to 0

both numerator and denominator tends to 0.

So we take its second derivative,

(2 - 2Cos2x) / 2

Now as x -> 0,

we will get (2 - 2)/2 = 0

If 2x+y=16 and 4x-y, find the value of x and y​

Answers

Answer:

Step-by-step explanation:

HELP PLZ and thank you

find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

Circle degrees total 360 .  

360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.  

14x+4  +15x+6 =126

19x+10 = 126

29x = 116

x=4 .  answer .

Pls help me
I really need help so I can not go through summer school pls

Answers

4 i think sorry if i’m wrong

Find the slope of the line passing through the points (-2,-2) and (6,-2).
slope

Answers

Answer:

0/8

Step-by-step explanation:

Slope equals y 2 minus y 1 divided by x 2 minus x 1

-2-(-2)/6-(-2)

0/8

Pls help me due in 20 minutes.

Answers

Answer:

A and D; she needs 1/12 cups of corn

Step-by-step explanation:

what is the leading coefficient of 5z^5-2z^6+z

Answers

Answer:

3

Step-by-step explanation:

Kim bought her Supreme shoes for $52 on eBay. She marks up the shoes to resell on GOAT for 120% of the price.



a) What is the amount of markup? $




b) What is the price of the shoes after markup? $

Answers

A) $10.40
B) $62.40
hope this helps!!

Answer:

a) $10.4

b) $62.4

Step-by-step explanation:

a) What is the amount of markup? $

$52 - 100%

$X   - 120%

100X = 52*120

100X = 6240

X = 6240/100

X = $62.4

62.4-52=

$10.4  

b) What is the price of the shoes after markup? $

$62.4

Caroline can ride her bike 5 miles in 25 minutes. At this rate, how long would it take her to bike 8 miles?

Answers

Answer:

40 min.

Step-by-step explanation:

5/25=1/5

1/5=0.2

8/0.2=40

Answer:

40 mins

Step-by-step explanation:

do 25 divided by 5 and you get 5, which means she can ride one mile in 5 mins, so then multiply 5 and 8 and you get the product of 40.

What is 0.5 (0.1)(1/2)

Answers

Answer:

0.025

Step-by-step explanation:

calculate the volume of a liquid with a density of 5.45g/km and a mass of 65g ​

Answers

Answer:

11.93 ml

rounded to two significant figures: 12ml

Step-by-step explanation:

65/5.45=11.93 ml

Please mark me as brainliest

4,000 as a product of power of 10

Answers

Answer:

4,000 to the tenth power is 1.045876E36

Step-by-step explanation:

Sasha saved $28.34 in November and $39.57 in December. By the end of
January, she wants to have saved $100. How much money does she need
to save in the month of January? Make sure to include your work, number
sentences, and your answer with words.

Answers

Answer:

$32.09

Step-by-step explanation:

It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!

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Answers

Answer:

no

Step-by-step explanation:

-1 - (-12)

the two negative signs before the 12 cancel out so it ends up being

-1+12

-1+12=11

11 and -1 are not equal to each other

Answer:

No

Step-by-step explanation:

-3-(-12)=-3+12

-3+12=9

Helps please is for now

Answers

Answer:

(-3,5) and (2,3). That's the answer. Plug this number and it would be fine

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Answers

Answer:

[tex]x^2 + 3x + 24 = 0[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{-3\±\sqrt{3^2 - 4*1*24}}{2*1}[/tex]

Required

Select equation with the above solution

The solution is represented as:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

By comparison:

[tex]b= 3[/tex]       [tex]a = 1[/tex]       [tex]c = 24[/tex]

So, the equation is:

[tex]ax^2 + bx + c = 0[/tex]

[tex]x^2 + 3x + 24 = 0[/tex]

What should be placed in the box to make the equation true?

Answers

Answer:

2x^4

Step-by-step explanation:

When multiplying variables with exponents multiply the coefficients (the number before the variable) and add the exponents.

SO to solve you have to find a number that when multiplied by 32 equals 64 and a number when added to 8 gives you 12.

2*32=64

8+4=12

So the answer is 2x^4

If this helped please consider giving brainliest.

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

PLEASE ANSWER ASAP WILL GIVE BRAINLIEST

Answers

The mean should be 10
10 is the mean I’m pretty sure

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Answers

Answer:

hii

Step-by-step explanation:

3(x-2)-2x+3=-12

3 times x = 3x

3 times -2 = -6

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Answer:

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Answers

Answer:

16.2

Step-by-step explanation:

I think it is the answer. not sure

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b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28

Answers

Yea what the other girl said

-5n = 15
show your work

Answers

Answer: 15 divided by -5 = -3

Answer:

n=-3

Step-by-step explanation:

divide both sides

-5n/(-5)=15/(-5)

divide both sides

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n=-3

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Answers

-4.5 = -0.5 (x - 7.1)

-4.5 = -0.5x + 3.55
-3.55 -3.55
——————————
-8.05 = -0.5x
———————
-0.5

X = 16.1

Which option best shows X ≤ -3

Answers

Step-by-step explanation:

the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too

Answer:

yep, it's b.

Step-by-step explanation:

a line with a closed circle means that it's less than or equal to.

can someone help me with this?​

Answers

Answer:

$79.38

Step-by-step explanation:

First find the area of the parallelogram: b*h

= 8.1* 3.5

= 28.35 square meters

now multiply by the cost (2.80) by 28.35 to get the final answer: 79.38

the difference of 4 and 5 times h ​

Answers

Answer:

4-5h

Step-by-step explanation:

difference = minus sign

and 5 times h

Answer:

Step-by-step explanation:

There are two answers to this making the question slightly ambiguous.

1) 4 - 5*h

2) (4 - 5)*h

It is impossible to tell which answer is the correct one. However, if I had to guess, I would say it is 4-5*h

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