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nikdorinn [45]
3 years ago
5

12. The geographic grid apportions the globe into hemispheres of 180 lines of longitude. Based on your knowledge of basic geomet

ry, what portion of a sphere does 180 degrees equal? __________________ The grid also defines so-called "central meridians" centered on every 15 degrees of longitude. How many central meridians would there be for a complete sphere? ________________________ Compare this answer to the number of hours in a day. How does it compare?
Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

For the first question, 180 degrees equals to a half of the sphere. For the second question, you need 24 central meridians for a complete sphere, which are exactly the hours in a day.

Step-by-step explanation:

A sphere is basically a 3D circle. As a circle has 360 degrees, 180 degrees would be half of a circle. Imagine you are on a satellite over the north pole or the south pole and you have a way to cut the earth by the middle. You will get two halves of sphere.

About the second question, you may need to have in mind that a day is the time spent for the earth to rotate all 360 degrees over its own axis. British fellow, on XIX century, decided they were the center of the world. As previously, back in the days, some other people decided a day had 24 hours, they decided to draw this lines and divide the earth in 24 pieces, so they could knew which time was on every point their extense kingdom had.  As I said, a circle has 360 degrees, (360 degrees)/(24 hours) equals to 15 degrees.

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10+x > 17 solving one step inequalities
pogonyaev

Answer:

x > 7

Step-by-step explanation:

you move over the 10 to the left and it becomes negative.

x > 17 - 10

so then you subtract the 17 - 10 and you would get 7.

x > 7

8 0
2 years ago
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Solve for x in the equation:log6-2logx=1.4​
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9514 1404 393

Answer:

  x = (√6)/10^0.7 ≈ 0.488737

Step-by-step explanation:

It can work reasonably well to take antilogs first.

  \log(6)-2\log(x)=1.4\\\\\dfrac{6}{x^2}=10^{1.4}\\\\\dfrac{6}{10^{1.4}}=x^2\\\\x=\dfrac{\sqrt{6}}{10^{0.7}}\approx0.488737

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2 years ago
Simplify: (-20)4 ÷ (-20)1 <br> A.(-20)4<br> B. (-20)5<br> C. -201 <br> D.(-20)3
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3 years ago
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Solve for x<br> 12<br> (x + 2)/<br> B<br> O 14<br> O 10<br> 12<br> 06
Makovka662 [10]

Answer:

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pls mark as brainliest

6 0
2 years ago
Suppose the heights of a population of people are normally distributed with a mean of 65.5 inches and a standard deviation of 2.
kupik [55]

Answer:

a) P(64.2

b) 69.764

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(65.5,2.6)

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(64.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(64.2

And we can find this probability on this way:

P(-0.50

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

P(-0.50

3) Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got

a=65.5 +1.64*2.6=69.764

So the value of height that separates the bottom 95% of data from the top 5% is 69.764.

5 0
3 years ago
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