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Makovka662 [10]
2 years ago
7

PLEASE HELP ME WITH THIS​

Mathematics
1 answer:
Mice21 [21]2 years ago
8 0
Wha do u need help with
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A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing al
cricket20 [7]

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}

4 0
2 years ago
What is the estimate difference between 2.97 1 2/11​
zheka24 [161]

Answer:

2

Step-by-step explanation:

Estimate 1 2/11 to 1.

Estimate 2.97 to 3.

3 - 1 = 2

3 0
3 years ago
What is the surface area of the right rectangular prism?<br>center your answer in the box.
Firlakuza [10]
I believe the answer is 22 in^2
3 0
2 years ago
Read 2 more answers
12v+10v+14=80 solve the equation​
krok68 [10]

Answer:

v=3

Step-by-step explanation:

6 0
3 years ago
After t seconds a ball tossed In the air from the ground level reaches a height and of h feet given by the function h(t)=144t-16
Lana71 [14]

Answer:

Check the explantion

Step-by-step explanation:

H(t) represent the height of the ball after t seconds.

1)

In order to figure the maximum height of the ball we must minupulate this equation into a form where we can easily find the maximum height.

We can also see this parabola will be downward concaved because it has a negative coefficent for the t^2 term.

a) Let's Manipulate!

Vertex form is a form where we can easily tell the maximum and minimum points. To get in into Vertex form we just need to complete the sqaure.

Lets reanrage the terms

h(t)= -16t^2+144t

Undo the distrubitive propety

h(t)= -16(t^2-9t+20.25)+324

Add and subtract 324.

h(t) = -16(t-4.5)^2+324

COmplete the square.

b) Almost done!

We can now see that the stuff with the brackets is always positive/zero because any real number sqaured is a positive/zero. But than we multiply the positive stuff by a negative number (-16) so its now all negative.

The only exception is when its zero.

And off course if we add 324 to zero its always going to be greater than 324 + a negative number. To get the first term to be zero we can have t = 4.5.

c) Proove it!

h(4.5) = -16(4.5-4.5)^2+324

=324

d) Double Check by graphing!

(Its a attach screenshote by the way)

e) Answer:

The ball will reach its maximum height after 4.5 seconds.

Hoped this helped!,

JoeLouis2

4 0
3 years ago
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