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blsea [12.9K]
2 years ago
9

A study showed that a high school junior enrolled in two AP classes studies 25 hours per week with a standard deviation of 6.2 h

ours. If the school had
300 juniors enrolled in two AP classes, how many would you expect to find who studied more than 25 hours per week? ROUND YOUR ANSWER TO
THE NEAREST WHOLE NUMBER!
Mathematics
1 answer:
NeTakaya2 years ago
4 0
Look man I don’t really know the answer my bad
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Consider a sphere of radius R > 0. Take two antipodal points A and B on the sphere, and another point C on the sphere. Check
aleksklad [387]

Answer:

To this question; we want to show that if two antipodal points on a sphere were A and B, for any random point C on the sphere, AC is perpendicular to BC?

Step-by-step explanation:

I would proceed by imagining the sphere in a three dimensional Cartesian coordinate system. For example, use a sphere of diameter 2 and let it sit at the origin. Then (0, 0, 1) and (0, 0, -1) are the vector locations of the “north and south poles” of the sphere.

Now choose the vector location of any point on the surface of the sphere. It will have a vector location - we’ll call it (x, y, z). Now the vectors from your point to the two poles are (-x, -y, 1-z) and (-x, -y, -1-z).

Now just form the dot product of those two vectors:

(-x, -y, 1-z) . (-x, -y, -1-z) = x^2 +y^2 + (1-z)*(-1-z)

Now the truth of your claim will be embodied in that dot product being zero:

x^2 + y^2 - (1+z)(1-z) = 0

x^2 + y^2 - (1-z^2) = 0

x^2 + y^2 + z^2 = 1

But that last line is just the definition of points on the surface of a sphere of radius 1, so the claim is proven.

Since R>0 and AC is perpendicular to BC, the <ACB is at right angle.

Please, find attached a simple image to show antipodal points (Two points that makes a diameter) and a point C on the sphere.

5 0
3 years ago
A natural number is an irrational number sometimes always never
Nady [450]

Answer:

always

Step-by-step explanation:

. Always. Real numbers are irrational numbers. ... Natural numbers are rational numbers.

8 0
3 years ago
Read 2 more answers
Jim bought a shirt for $27.00. He paid a 3.4% tax. How much did he pay in total?
ira [324]
27× .034=.918
You add this on
27.918
You have to round since cents (get it).
$27.92
8 0
2 years ago
What types of symmetry does a triangle have
vredina [299]

Answer:

Equilateral Triangle, Isosceles Triangle, Scalene Triangle

Step-by-step explanation:

Equilateral: 3 lines of symmetry

Isosceles: 1 line of symmetry

Scalene: no lines of symmetry

3 0
3 years ago
Read 2 more answers
Can someone help me with this?​
Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

So,

\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

Therefore, number of terms is 6

  • 6 is the right answer.
3 0
2 years ago
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