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QveST [7]
2 years ago
5

a teacher says that the top 10% of the class received an A on the last test. the scores were normally distributed with mean 67 a

nd a standard deviation 16. find the minimum score required to get an A. g
Mathematics
1 answer:
12345 [234]2 years ago
5 0
Umm im just here sooooo goodluck oh come one
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How to convert sine to cosine.? if i have the following equation: y = sin (300t and i want to represent this as a cos?
IgorC [24]
If you were to graph the sine and cosine functions on the same set of axes, you'd see that they are 90 degrees, or pi/2 radians, out of sync with one another.  cos 0 is 1, whereas sin 0 is 0; sin x does not reach the value 1 until your angle reaches 90 degrees, or pi/2 radians.

Please do some experimentation here.  You want to express sin (300t) as a cosine, that is, as cos (300t + [some angle]), where [some angle] is called a "phase shift."

Start with the basic y=sin x.  Its graph is usually begun at (0,0).  Try simplifying and graphing cos (x-pi/2).  Does this produce the same y=sin x, with the same graph?  Do you remember that 
  cos (x-pi/2) = cos x cos pi/2 + sin x sin pi/2?
It happens that cos pi/2 = 0 and that sin pi/2 = 1.  Thus,
  cos (x-pi/2) = sin x (1) = sin x.  So, we have succeeded in obtaining sin x from cos (x-pi/2).

Now, what about obtaining sin 300t from the cosine function?

First:  recognize that the standard form of the cosine function with a phase shift is     y = a cos (bx + c).  What is the period?

Answer:  The period is always 2pi/b.  So, in the case, the period is 2pi/300, or pi/150.

What is the phase shift?
Answer:  the period is always -c/b.  So, in this case, the period is -c/b, or 
-pi/2 over 300.  This simplifies to -pi/150.

Try this:  Simplify cos (300t -pi/150)  If the end result is sin 300t, you'll know you have this right.  If the end result is not sin 300t, experiment with that phase shift.
7 0
3 years ago
Question 10 (5 points)
Marina CMI [18]

Answer:

D) 24.5

Step-by-step explanation:

use the pythagorean theorem.

a^{2} +b^{2}=c^{2}

Plug in the values. a^{2} + 25^{2} =35x^{2}

a+ 625 = 1225

then solve for a by subtracting 625 from 1225 = 600

√600= 24.5

5 0
3 years ago
Which is equivalent to log Subscript 2 Baseline n = 4?
Marrrta [24]

Answer:

n = 16

Step-by-step explanation:

Given the expression;

log_2 n = 4

If log_a b = c, then;\\a^c = b

Applying this to the question;

2⁴⁴= n

16 = n

Swap'

n = 16

Hence the value of n is 16

7 0
2 years ago
Read 2 more answers
What do the parallel lines shown on segment BD and segment DC represent? _____________________
postnew [5]

the 2 parallel lines mean that the lines are equal

 SO since BD = 18, DC is also 18

4 0
3 years ago
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On the 405 freeway one can travel 65 miles per hour (mph), how many kilometers per hour (kph) is the car travelling
OverLord2011 [107]

Answer:

104.607kph

Step-by-step explanation:

Conversion from mph to kph = 1.609mph

3 0
2 years ago
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