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sesenic [268]
3 years ago
12

On average, I sleep about 7 hours and 45 minutes each day. So during one year, I sleep for 7.45x365=2719.25 or about 2700 hours.

This calculation is not correct. What is the correct answer?
Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

About 2,800 hours of sleep per year

Step-by-step explanation:

Sleep per day= 7 hours 45 minutes

7 hours 45 minutes=465 minutes

Sleep per day =465 minutes

Sleep per year=365 days × 465 minutes

=169,725 minutes

There are 60 minutes in one hour

Divide 169,725 by 60 minutes

We have,

169,725/60

=2828.7500000 hours

Total sleep in a year is about 2,800 hours

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If the minute hand moves 30 degrees how much time has moved
Levart [38]
Has moved 30 minutes

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3 years ago
In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the
katen-ka-za [31]

9514 1404 393

Answer:

  16.8°

Step-by-step explanation:

The Law of Cosines can be rearranged to give the angle measure.

  angle Q = arccos((p² +r² -q²)/(2pr))

  angle Q = arccos((690² +450² -290²)/(2×690×450))

  angle Q = arccos(594500/621000) ≈ 16.7985°

The measure of angle Q is about 16.8°.

3 0
3 years ago
Noah was assigned to make 64 cookies for the back sale. He made 125% of that number. 90% of the cookies he made were sold. How m
Serhud [2]

Answer: 16

Step-by-step explanation:

100% is 64 and 1% of 64 is 6.4 and if you multiply 6.4 times 25 is 160 so 125% is 160 so 90% of 160 is 144 so 160-144 is 16

6 0
3 years ago
-32 +(-18) =<br> Show step by step to answer
Nuetrik [128]

Answer:

-50

Step-by-step explanation:

  -32 + ( -18 )

= - 32 - 18

= -50

Hope this helps!

8 0
2 years ago
Read 2 more answers
A levee was designed to protect against floods with an annual exceedance probability of 0.02. A larger flood would cause the lev
LuckyWell [14K]

Answer:

66.76% probability that the levee will NEVER fail in the next 20 years.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that p = 0.02

What is the risk that the levee will NEVER fail in the next 20 years?

This is P(X = 0) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}*(0.02)^{0}*.(0.98)^{20} = 0.6676

66.76% probability that the levee will NEVER fail in the next 20 years.

7 0
3 years ago
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