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3 years ago

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

1 answer:

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