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garri49 [273]
2 years ago
15

Half of the class scored above 78% and half of the class

Mathematics
2 answers:
andrey2020 [161]2 years ago
7 0

Answer:

Median

Step-by-step explanation:

zlopas [31]2 years ago
5 0

Answer:

78% is the median

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers

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Margo borrows $500, agreeing to pay it back with 3% annual interest after 14
Akimi4 [234]

Answer:

\$17.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest to pay

P is the amount of money borrowed

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=\frac{14}{12}\ years\\ P=\$500\\r=3\%=3/100=0.03

substitute in the formula above

I=500(0.03)(\frac{14}{12})

I=\$17.50

4 0
3 years ago
A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro
Mrac [35]

Answer:

The equation of the displacement d as a function of time t is :

d(t)=8sin(\pi t+\pi )

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
  • <em>c is the phase angle which indicates the initial position of the object in SHM (rad)</em>

given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

7 0
2 years ago
What is the simpler form of (6 + m^2) (6 -m^2)​
PtichkaEL [24]

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=36-m^4

Step-by-step explanation:

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