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Stolb23 [73]
3 years ago
14

We are given a weighted coin (with one side heads, one side tails), and we want to estimate the unknown probability pp that it w

ill land heads. We flip the coin 1000 times and it happens to land heads 406 times. Give answers in decimal form, rounded to four decimal places (or more). We estimate the chance this coin will land on heads to
Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

0.4060

Step-by-step explanation:

To calculate the sample proportion, phat, we take the ratio of the number of preferred outcome to the total number of trials ;

Phat = number of times coin lands on head (preferred outcome), x / total number of trials (total coin flips), n

x = 406

n = 1000

Phat = x / n = 406/ 1000 = 0.4060

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Divide and write in simplest form 8/9 divided by 12
likoan [24]

8/9 divided by 12 is 2/27

its simplest form would be 2/27

7 0
4 years ago
a chemistry teacher needs to mix a 20% salt solution with a 80% salt solution to make 15 qt of a 40% salt solution. how many qua
ANTONII [103]

10 quarts of 20 % salt solution mixed with 5 quarts of 80 % salt solution to make 15 quarts of 40 % salt solution

<em><u>Solution:</u></em>

The final mixture is 15 quarts

Let amount of 20% solution to be mixed, be x

Then, the amount of 80 % solution to be mixed is 15 - x

Thus, we can say,

"x" quarts of 20 % salt solution mixed with (15 - x) quarts of 80 % salt solution to make 15 quarts of 40 % salt solution

thus, we frame a equation as,

x \times 20 \% + (15-x) \times 80 \% = 15 \times 40 \%

x \times \frac{20}{100} + (15-x) \times \frac{80}{100} = 15 \times \frac{40}{100}\\\\0.2x + 0.8(15-x) = 0.4 \times 15\\\\0.2x + 12 - 0.8x = 6\\\\0.6x = 12 - 6\\\\0.6x = 6\\\\x = 10

Thus 10 quarts of 20 % solution is mixed

Then, 15 - x = 15 - 10 = 5

5 quarts of 80 % salt solution is mixed

3 0
3 years ago
How many solutions does 3/4(24-16x)=-2/3(18x-27) have?
Radda [10]

Answer:

Step-by-step explanation:

Answer: An infinite number

Multiply both sides of the equation by 12

12  [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]

3*3(24 - 16x) = - 2 * 4 (18x - 27)

9 ( 24 - 16x) = - 8(18x - 27)          

Remove the brackets.

216 - 144x = -  144x + 216

Any value for x will preserve the equality. Nice problem.

6 0
3 years ago
Helpp! I really need help with Solving each equation &amp; Writing the answer in exact form. I will mark brainlist asap
Westkost [7]

                 _                _
1. x = (-8-√12)/2 = -4-√3 = 5.732

2. x_2=-3.606

    x_1=3.606

3. b_2=-1.323

    b_1=1.323

4.  z =(-28-√72)/2=-14-3√ 2 = -18.243
     z =(-28+√72)/2=-14+3√ 2 = -9.757


Feel free to correct me if wrong!

6 0
3 years ago
Blank numbers can be written as a product of blank factors.This is called the prime factorization of a number.
noname [10]
Yes, the blank numbers that can be written as a product of blank factors are called the prime factorization of a number. It can also be composite numbers where it can be written also as the product of prime factors. 
3 0
4 years ago
Read 2 more answers
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