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arsen [322]
3 years ago
11

The following data shows the weight, in pounds, of 5 boxes:

Mathematics
1 answer:
Triss [41]3 years ago
8 0
The mean = (3+1+2+2+2) / 5  = 10/5 = 2

subtract mean from each of the values
gives 1 -1 0 0 0

MAD = (1^1 + (-1)^2) / 5 = 2/5 = 0.4
A is the correct choice.

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<img src="https://tex.z-dn.net/?f=9%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B%20%5Csin%28%20%5Ctheta%29%20%7D%7B1%20%2B%20%20%5Ccos%28%2
PIT_PIT [208]

Option (b) is your correct answer.

Step-by-step explanation:

\large\underline{\sf{Solution-}}

Given Trigonometric expression is

\rm :\longmapsto\:\dfrac{sin\theta }{1 + cos\theta }

So, on rationalizing the denominator, we get

\rm \:  =  \: \dfrac{sin\theta }{1 + cos\theta }  \times \dfrac{1 - cos\theta }{1 - cos\theta }

We know,

\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) =  {x}^{2} -  {y}^{2} \: }}}

So, using this, we get

\rm \:  =  \: \dfrac{sin\theta (1  -  cos\theta )}{1 -  {cos}^{2}\theta  }

We know,

\purple{\rm :\longmapsto\:\boxed{\tt{  {sin}^{2}x +  {cos}^{2}x = 1}}}

So, using this identity, we get

\rm \:  =  \: \dfrac{sin\theta (1 -  cos\theta )}{{sin}^{2}\theta  }

\rm \:  =  \: \dfrac{1 - cos\theta }{sin\theta }

<u>Hence, </u>

\\ \red{\rm\implies \:\boxed{\tt{ \rm \:\dfrac{sin\theta }{1 + cos\theta }   =  \: \dfrac{1 - cos\theta }{sin\theta } }}} \\

3 0
2 years ago
Read 2 more answers
I need help on this one
bulgar [2K]

Answer:

16 months

Step-by-step explanation:

Look at the chart on the left and look at what number of months is closest to 15,000. 16 is at 15,034

To solve mathematically:

y is the balance that his account would have. You want to find the amount of months it will take before it becomes $15,000, so 15000 is your y value

15,000= - 440.91x+22,060.7

-7,060.7= - 440.91x    Subtract 22,060.7 from both sides

16.0139=x   Divide both sides by - 440.91

6 0
3 years ago
Sorry if it's hard to see but can any one work this out plz <br>Much appreciated​
aleksley [76]

Answer:

x = 5.25

Step-by-step explanation:

width = x

length = (x + 8)

length that overlaps with width = (x + 8) - x = 8

perimeter (clockwise)

= 90

= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)

= 8x + 6(8)

= 8x + 48

8x + 48 = 90

8x = 42

x = 5.25

4 0
3 years ago
Please help ‼️‼️‼️ Due soon
Darya [45]
Sjshshshbdndjdjdhdhdhddhhd
5 0
3 years ago
You ask a friend to think of a number from 7 to 14. What is the probability that his number will be an even number? Answer as a
8_murik_8 [283]

Answer:

1/2

Step-by-step explanation:

Not sure but

I am assuming we have 8 integers :

All or (A) = {7,8,9,10,11,12,13,14} = n(A) = 8

Hence, the probability of any one outcome is 1/8.

Therefore, as you can detect, there are 4 numbers that are even numbers which means :

Even or (E) = {8, 10, 12, 14} = n(E) = 4

So, let E imply this occurrence

E x A

= 4 x 1/8

= 4/8

= 1/2

3 0
3 years ago
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