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Nimfa-mama [501]
3 years ago
10

What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a perce

nt. O A. 5.4% O B. 12.5% O C. 12.1% O D. 19.3% SUBMIT​

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0
<h3>Answer: A) 5.4%</h3>

==================================

Explanation:

We use the binomial probability formula here

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)

P(3) = 220*(0.5)^3*(1-0.5)^(12-3)

P(3) = 0.0537109375

P(3) = 0.054

P(3) = 5.4%

-----------------

Side note: the n C k refers to the nCr combination formula

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.

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Mikaela friends brought a big box of crackers to the movies. 53 crackers are whole wheat and 29 are cheese flavored. The remaini
Elena-2011 [213]

Answer: 123 crackers

Step-by-step explanation:

If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.

Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82

Let x be the total number of crackers in the box, so we will have the equation

2/3 x= 82

x = 82 ÷ 2/3; we will get

X =82 x 3/2

X = 123 crackers

8 0
3 years ago
Y varies directly as x, if y = 8 , when x=4, find y when x =48
kaheart [24]

Answer:

y = 24

Step-by-step explanation:

8 : 4 : : y : 48

8 / 4 = y / 48

1 / 2 = y / 48

y = 48 / 2

y = 24

5 0
2 years ago
Read 2 more answers
In the year 2012, 12\%12%12, percent of the residents of the US moved to a different residence. Suppose that several census work
yan [13]

Answer: approximately normal (c) trust me-khan academy

Step-by-step explanation:

7 0
2 years ago
lily bought 6 skirts and 5 coats for a total of $452.62. if lily sister bought 3 skirts and 5 coats for $289.36, what was the pr
Vikentia [17]

Answer:

$26.02

Step-by-step explanation:

Let the price of a skirt be A and that of coat be B

Iilly bought 6 skirts and 5 coats for a total of $452.62

That’s

6A + 5B = 452.62

Also, Lilly’s sister bought 3 skirts and 5 coats for $289.36

That’s

3A + 5B = 289.36

We now have two equations

1 . 6A + 5B = 452.62

2. 3A + 5B = 289.36

Subtract equation two from equation one

We have

3A = 163.26

Divide both sides by 3

3A/3 = 163.26/3

A = 54.42

A = $54.42

Now substitute 54.42 for A in either equations to get B the price of a coat

Using equation one, we have

6A + 5B = 452.62

6 x 54.42 + 5B = 456.62

326.52 + 5B = 456.62

Subtract 326.52 from both sides

326.52 - 326.52 + 5B = 456.62 - 326.52

5B = 130.1

Divide both sides by 5

5B/5 = 130.1/5

B = 26.02

= $26.02

A coat cost $26.02

3 0
2 years ago
How many times larger than 2x10^3 is 6x10^6?
Zielflug [23.3K]

Answer: 5,998,000

Step-by-step explanation:

2x10^3= 2,000

6x10^6= 6,000,000

In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.

In this case, the 10^x, the x can represent the number of zeros after our first value.

So, 6 + six zeros, or 6,000,000

and, 2 + 3 zeros, or 2,000

To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).

So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!

Hope this Helped!

3 0
2 years ago
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