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3 years ago

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

2 answers:

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

You might be interested in

The volume of a cone is 37.7 cubic inches, and its height is 4 inches. What is the diameter of the base of the cone?

Rom4ik [11]

Just multiply 37.7 by 4 and get your answer.

6 0

3 years ago

Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t

Alisiya [41]

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

3 0

3 years ago

Using two independent samples, two population means are compared to determine if a difference exists. The population standard de

ANTONII [103]

Answer:

Hence the degrees of freedom are associated with the critical value is 25.

Step-by-step explanation:

Using two independent samples, two population means are

compared to determine if a difference exists, the population standard deviation is equal.

sample size 1 = $n_{1}$ = 15 and sample size 2 = $n_{2}$ = 12

since, population standard deviations are equal, required degrees of freedom

$= n_{1} + n_{2} - 2 \\= 15 + 12 - 2\\ = 25$

8 0

2 years ago

What is the 6th term of the geometric sequence<br> 50, 10, 2, ...?

Dominik [7]

Answer:

your answer to that would be 5 other Geographic Square

7 0

3 years ago

What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

7 0

3 years ago