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Deffense [45]
3 years ago
7

A coin is tossed four times What is the probability of getting four heads? (1 mark) a) b) What is the probability of getting exa

ctly work. (2 marks) two heads? Be sure to show your What is the probability of not getting two heads? Be sure to show your work.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
<h2>Answer:</h2>

1. A coin is tossed four times. What is the probability of getting four heads?

Each toss has a 1/2 chance of getting a head.

So the chance of getting all four heads can be calculated as :

1/2\times1/2\times1/2\times1/2=1/16

2. A coin is tossed four times. What is the probability of getting two heads?

Each toss can have 2 results, so 4 flips will have 2^{4} or 16 results.

Getting two heads means getting two tails also. So, we can get the number of times two heads come = \frac{4!}{2!2!} = 6

We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}

So, the required probability is : 6/16 or 3/8.

3. Not getting two heads means getting 3 tails and 1 head or all tails.

Probability of having all tails = 1/2\times1/2\times1/2\times1/2=1/16

Probability of one head(1st trial) and three tails = 1/16

Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16

Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16

Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16

So, the total probability showing only one or none head and at least three tails = 1/16+1/16+1/16+1/16+1/16=5/16

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What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?
vodomira [7]

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

4 0
3 years ago
-1+14x+14p-2x-5p+18 equals what&gt;
jonny [76]
12x+9p+17
All that you need to do is combine like terms
6 0
3 years ago
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Finger [1]

Answer:

0.3(least)

0.33

0.35

0.36(greatest)

Step-by-step explanation:

Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.

To do that, we must divide 9 by 25 to get our answer of 0.36.

Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33

We now have our list, which should be ordered as:

0.3

0.33

0.35

0.36

5 0
2 years ago
Please help!!
bogdanovich [222]

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

Rent of apartment during first year = $1800 per month

But growth in rent with 11.5% per year will be represented by the exponential function,

Rent in 't'th year = \text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}

                          = 1800(1+\frac{11.5}{100})^t

                          = 1800(1.115)^t

Therefore, rent during 10th year will be,

Rent in 10th year = 1800(1.115)^{10}

                            = $5345.90

3 0
3 years ago
Read 2 more answers
Find the measure of angle2<br><br> A. 90<br> B. 50<br> C. 60<br> D. 30
galina1969 [7]
I think it is C. 60.
You can eliminate A because it is not a right angle, and D because the angle is bigger than the given angle. So it is between 50 and 60, and I hope this is right and the picture makes sense

6 0
2 years ago
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