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Setler79 [48]
1 year ago
15

Please help me with this question step by step on how to solve it. It takes the earth 24 h to complete a full rotation. If it wo

uld take Mercury approximately 38 days, 10 h, and 30min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show yourwork using the correct conversion factors.
Mathematics
1 answer:
pav-90 [236]1 year ago
3 0

In order to find the number of hours it takes to do the full rotation we separate into pieces the days, hours, and minutes and convert each of them separately.

using the conversion factor from days to hours we get that

1\text{day}=24\text{hours}

then we get that

38\text{days}\cdot\frac{24\text{hours}}{1day}=912hours

hours does not need a conversion factor, meaning that

10\text{hours}=10\text{hours}

continue by converting the minutes using the following conversion factor

1\text{hour}=60\min

then,

30\min \cdot\frac{1\text{hour}}{60\min }=0.5\text{hours}

To complete add all the results together

\begin{gathered} 912+10+0.5 \\ 922.5\text{hours} \end{gathered}

It takes mercury 922.5 hours to complete a full rotation.

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A terminating decimal is a decimal that​
dalvyx [7]

Answer:A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits

Step-by-step explanation:

3 0
3 years ago
A missing data value from a set of data has a z-score of –2.1. fred already calculated the mean and standard deviation to be mu
Flauer [41]

The missing data value according to the given z-score is <u>39</u>.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is <u>39</u>.

Learn more about z-scores at

brainly.com/question/10679480

#SPJ4

6 0
1 year ago
The midsegment of a trapezoid is 11 cm in length. If one of the trapezoid's bases is 17 cm long, what is the length of the other
vagabundo [1.1K]

Answer:

x must be 5

Step-by-step explanation:

Recall that the area formula for a trapezoid is

A = (average of base lengths)(width)

Here we have

                                                                   17 cm + x

      (average of base lengths) = 11 cm = ----------------

                                                                           2

So 2(11 cm) = 17 cm + x, or

      22 cm = 17 cm + x

Then x must be 5.

7 0
3 years ago
You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minu
nadezda [96]

Answer:

n\times \frac{1}{4}+(75-n)\times \frac{1}{3}

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

or

Time taken to deliver one paper can be calculated by the formula:

\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}

Time taken to deliver one paper by first person = \frac{1}{4}

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = \frac{1}{3}

Total number of papers = 75

Number of papers delivered by first person = n

So, number of papers delivered by second person = (75-n)

Time taken to deliver n newspapers = Number of newspapers delivered <em>multiplied by </em>Time taken to deliver one newspaper

Time taken by first person = n\times \frac{1}{4}

Time taken by second person = (75-n)\times \frac{1}{3}

So, Total time taken can be written as:

n\times \frac{1}{4}+(75-n)\times \frac{1}{3}

5 0
3 years ago
NEEDING SMART PPL PLEASE I NEED HELP will give brainly Given the following expressions:
ira [324]

Answer:

<u>Part 1:</u>

  • a. 5^3 x 5^-4 = 125 x 1/(5)^4 = 125 x 1/625 = 125/625 = 0.2
  • b. 3^5/3^-6 = 3^5 x 3^6 = 243 x 729 = 177147
  • c. (1/4)^3 x (1/4)^2 = 1/64 x 1/16 = 1/1024 = 0.00097656
  • d. (-7)^5/(-7)^7 = -16807/-823543 = 1/49 = 0.02040816...

<u>Part 2:</u>

  • a. has a value between 0 and 1 because the answer to the expression is 0.2
  • b. does not have a value between 0 and 1 because the answer to the expression is 177147
  • c. has a value between 0 and 1 because the answer to the expression is 0.00097656
  • d. has a value between 0 and 1 because the answer to the expression is 0.02040816...
5 0
3 years ago
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