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MissTica
3 years ago
8

What fractional part of a day do you spend sleeping if you sleep 8 hours per day?

Mathematics
2 answers:
hram777 [196]3 years ago
7 0
In a day, there are 24 hours. The fractional part of a day you spend sleeping is the ratio of the number of hours you sleep to the total number of hours in a day. This is shown below,
                                        r = 8 hours / 24 hours = 1/3
Thus, you sleep for 1/3 of your day. 
Alona [7]3 years ago
4 0
About 24 hours per 1 day
8/24=1/3
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If a person tosses a coin 23 times, how many ways can he get 11 heads
EastWind [94]

Tossing a coin is a binomial experiment.

Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.

All of these trials are independent since the result of one trial does not affect the result of the next trial.

Now, for 'n' repeated trials the total number of successes is given by

_{r}^{n}\textrm{C}

where 'r' denotes the number of successful results.

In our case n=23 and r=11,

Substituting the values we get,

_{11}^{23}\textrm{C}=\frac{23!}{11!\times 12!}

\frac{23!}{11!\times 12!}=1352078

Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.


3 0
3 years ago
PLEASEEEE ANSWER ASAP
Alona [7]

Answer:

x = -1, x = 1

Step-by-step explanation:

Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)

y = x^{2} - 1\\y = (x-1)(x+1)

Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!

Set it equal to 0.

0 = (x+1)(x-1)

Separate the two parenthetical expressions by the Zero Product Property.

0 = x+1\\0 = x-1

Solve for x!

x=-1, x=1

3 0
3 years ago
Interest of $1,632 with principal of $16,000 for 306 days (ordinary interest) results in a rate of​
SIZIF [17.4K]

Answer: 12%

Step-by-step explanation:

8 0
2 years ago
What value is equivalent to 52 + 53 − 54? A) -475 B) -350 C) -125 D) 5
Dafna1 [17]

None of these answer choices are correct. The answer would be 51. 52+53=105

105-54=51

7 0
3 years ago
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Ms. Lorahs smartphone has 3.5 GB of free storage space, which is 27.5% of the total storage space on her smartphone. What is the
statuscvo [17]
12.73 GB total when rounded to the nearest 100th.

3.5/27.5=y

y•100= 12.73
4 0
3 years ago
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