1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
garri49 [273]
3 years ago
7

Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

I) There are 8.760\times 10^3 hours in 1 year.

II) The exact number of hours in one year is 8.76582\times 10^3 hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I)  Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

n=24\times 365

n=8760

In scientific notation,

8760=8.760\times 10^3

So, there are 8.760\times 10^3 hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

n=\frac{31556952}{3600}

n=8765.82

In scientific notation,

8765.82=8.76582\times 10^3

So, the exact number of hours in one year is 8.76582\times 10^3 hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

  • The exact numbers of hours using 365 days is 8760 which is written as 8.760\times 10^3 in scientific notation but using the given data we get 8.76582\times 10^3 hours.
  • Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
  • If we round these we get 8.8\times 10^3 hours which has two significant numbers.
You might be interested in
Greatest common factor of 26m^4n^2, m^2n
Katyanochek1 [597]

Step-by-step explanation:

Hey there!

Given;

1st \: expn = 26 {m}^{4}  {n}^{2}

= 2*13 m⁴ n²

2nd expn = m² n

Therefore, greatest common factor is; m²n.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

8 0
3 years ago
Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh
kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon  residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = \sqrt{n*p_1*q_1}  = \sqrt{n*p_1*(1-p_1)} = \sqrt{11545*0.08*(1-0.08)} = 29.15

σ₂ = \sqrt{n*p_2*q_2}  = \sqrt{n*p_2*(1-p_2)}= \sqrt{4691*0.088*(1-0.088)} = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have  

z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }

The test statistics can be computed by

     

t₀ = \sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} } =      1104.83

c from tables is   P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0
3 years ago
How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.
Neko [114]
A=P(1+ \frac{r}{n})^{nt}
A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years

so
P=200
r=0.06
n=1
t=6

evaluate to find A
A=200(1+ \frac{0.06}{1})^{(1)(6)}
A=200P(1.06)^{6}
A=283.704
round
A=$283.70
6 0
3 years ago
A cylinder container with a diameter 12 cm and height is 8 cm is three fifths full of seeds.The seeds weigh 3.52 oz/cup,And 1 cu
kvv77 [185]
The answer is I don’t really know how to explain it but trust me it’s B: 8.1







3 0
3 years ago
Simplify completely:<br> 4V10 – V6 +3710<br> Show all work for full credit.
schepotkina [342]
The answer is 7√10−√6

5 0
3 years ago
Other questions:
  • Determine the cost of 5 pounds of bananas if 2 pounds cost $1.16
    14·2 answers
  • Fifty dash two percent of people in a certain country like to cook and 54​% of people in the country like to​ shop, while 28​% e
    11·1 answer
  • For what values of a are the following expressions true?<br> |a+5|=−5−a
    12·1 answer
  • You go the grocery and purchase 13 boxes of chocolates. You also buy a game that costs $54.27. When you check out, the total cos
    14·1 answer
  • I NEED HELP <br><br><br><br> Por favor
    6·2 answers
  • Jeannie worked at the pizza shack for 23.7 hours one week and was paid 146.94. How much did she earn per hour
    12·1 answer
  • Expand &amp; simplify<br> 5(b+6) +5(b-5)
    13·2 answers
  • Two ships set sail in different directions from the same place. Tyler's ship sail 35 miles while Noah's ship sails for 42 miles.
    15·1 answer
  • The total number of math students and history students is 43. Find the number of students in each class if the number of history
    11·1 answer
  • -6+2x=14 what are the steps to do these
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!