A Fair coin is flipped four times. Find: The probability it will land up heads each time.

Answers

Answer 1

Answer: If a fair coin is flipped four times, the probability that in all 4 trials, the coin will land up heads is: 1/16. The solution is to multiply the probability of getting a head 4 times. 1/2 * 1/2 * 1/2 * 1/2 = 0.0625 = 1/16

Answer 2

Answer:

1/6

Step-by-step explanation:

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Answers

Answer:

$(b^6)/(64)$

Step-by-step explanation:

We need three rules. Raising a power to a power. Raising a product to a power. Raising a number to a negative exponent.

Rule 1:

To raise a power to a power, multiply powers.

$(a^m)^n = a^(mn)$

Rule 2:

To raise a product to a power, raise every factor of the product to the power.

$(a^xb^yc^z)^n = a^(xn)b^(yn)c^(zn)$

Rule 3:

To raise a number to a negative power, follow this formula.

$a^(-n) = (1)/(a^n)$

Your problem.

$(2^2b^(-2))^(-3) =$

You have a product raised to a power, so raise each factor to the power.

$= (2^2)^(-3)(b^(-2))^(-3)$

Now raise each power to a power by multiplying exponents.

$= 2^(2 * (-3))b^(-2 * (-3))$

$= 2^(-6)b^(6)$

Now we follow the rule of a negative exponent.

$= (1)/(2^6) * b^6$

$= (b^6)/(2^6)$

$= (b^6)/(2 * 2 * 2 * 2 * 2 * 2)$

$= (b^6)/(64)$

Answer: $(b^6)/(64)$

What is negative 5/12 minus 7/9

Answers

-5/12 - 7/9 =-43/36
first find common denominators 36 so you multiply -5/12 by 3 and 7/9 by 4 to get -15/36-28/36 to get -43/36

either -1.194444444, or -43/36

A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?a. The number is greater than 2.
b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.

Answers

let's do process of elimination

a) 2 is part of the set and 2 is not greater than 2. NO

b) 5 and 10 in the set are divisible by 5. NO

c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES

d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO

e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO

For our given sample, the only true statement is:

c. The number is even or less than 12.

Which event, covers the entire sample space of this experiment?

The sample for the experiment is the set:

{2, 3, 4, 5, 6, 7, 8, 9, 10}

So, we need to see which ones of the statements are true for every digit in that set.

For example:

a "The number is greater than 2."

Is false, because the outcome can be 2, as 2 belongs to the set.

The true statement is:

c. The number is even or less than 12. (all the numbers are less than 12).

If you want to learn more about sets:

brainly.com/question/251701

#SPJ5

Which of the following equations is an example of a line written in slope-intercept form? A. y = mx + b
B. x = my + b
C. mx = y + b
D. mx + by = c

Answers

Equation A (y=mx + b) is in slope intercept form.

Investment strategies people use to provide security in retirement include all of the following excepta. investment in real estate
b.opening checking accounts
c.opening individual retirement account
d. creating investment portfolios

Answers

Except... B. opening checking accounts.

All of the other options are valid strategies for retirement savings which will yield potentially high rates of return. There is also penalties for early withdrawal from these type of accounts, and tax benefits to contributing to them. A checking account gives almost no return and is accessible to make any withdrawal at any time without penalty therefore is not a valid form of retirement savings strategy.

Jennifer is going on a hike to the top of a mountain. It will take 3 hours and 55 minutes to hike up the mountain and 1 hour and 10 minutes to hike back down. If Jennifer wants to finish the hike by 3:45 P.M., what is the latest time she can start the hike up the mountain? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer: 10:40 AM

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

Explanation:

Add the minutes for now

55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes

The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.

Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes

This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.

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

Now convert 3:45 PM to military time. We add 12 hours to get 15:45

Subtract off 5 minutes to get 15:40

Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM

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