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MrRissso [65]
3 years ago
6

Provide an appropriate response.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0
You don't even have to look up the definition of 'standard deviation'.  You only
have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average).  It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = <u>80 and 1/7</u> .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say <u>77, 78, 79, 80, 81, 82, and 84</u> .
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3 years ago
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FrozenT [24]

Answer:

im fairly certain the answer is C

Step-by-step explanation:

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3 0
3 years ago
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HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!
laila [671]

Answer:

The value of angle is 56.9°

Step-by-step explanation:

First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :

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

let \: a = 8.25 \\ let \: b = 6.45

{c}^{2}  =  {8.25}^{2}  +  {6.45}^{2}

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{c}^{2}  = 109.665

c =  \sqrt{109.665}

c = 10.47cm \: (4s.f)

In order to find θ, you have to apply Sine Rule :

\sin(θ)  =  \frac{opposite}{adjacent}

let \: oppo. = 8.77 \\ let \: hypo. = 10.47

\sin(θ)  =  \frac{8.77}{10.47}

θ =  { \sin( \frac{8.77}{10.47} ) }^{ - 1}

θ = 56.9 \: (1d.p)

4 0
2 years ago
Calculate the average rate of change for the function f(x) = x4 + 3x3 - 5x2 + 2x - 2, from x = -1 to x = 1
kolezko [41]
In interval <a, b>  the average rate of change the function you count from this formula:
x=\frac{f(b)-f(a)}{b-a} \qquad b>a
Here you've got a=-1 and b=1:
f(a)=f(-1)=(-1)^4+3 \cdot (-1)^3 - 5 \cdot (-1)^2 +2 \cdot (-1)-2= \\ = 1-3-5-2-2=-11 \\ \\ f(b)=f(1)=1^4+3 \cdot 1^4 - 5 \cdot 1^2 + 2 \cdot 1 -2=1+3-5+2-2=-1 \\ \\ \hbox{So average rate of change this function is:} \\ \\ x= \frac{-1+11}{1+1}=\frac{10}{2}=5
5 0
3 years ago
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