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3 years ago

I do not understand this, can anyone help me out?

Mathematics

1 answer:

ra1l [238]3 years ago

8 0

Answer:

the Answer what have to be the fist bc c is the only on that is not with a ,g or b

Step-by-step explanation:

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Compute the standard deviation of the following set of data to the nearest whole number:

Klio2033 [76]

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

$\bar{x}=14$ and use this to find the variance in the formula:

$s^2=\frac{\sum(x_i-\bar{x})^2}{n}$ it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

$s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}$

Squaring this ensures us that we don't end up with zero, which would be useless.

$s^2=\frac{36+4+1+9+16}{5}$ so

$s^2=13.2$ which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

3 0

3 years ago

Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the

madam [21]

Given:

The parent function is

$f(x)=x^2$

Consider the transformed function is g(x) instead of f(x) because both functions are different.

$g(x)=-5(x-4)^2-8$

Step-by-step explanation:

We have,

$f(x)=x^2$

$g(x)=-5(x-4)^2-8$

It can be written as

$g(x)=-5f(x-4)-8$ ...(i)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

$a=-4$ , f(x) shifts 4 units right.

$b=-8$ , f(x) shifts 8 units down.

$k=-5$ , it is negative so f(x) reflected across the x-axis.

$|k|=|-5|=5>1$ , so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0

3 years ago

Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)

ddd [48]

$6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o$

3 0

2 years ago

Solve the equation: 10y-7=27

mrs_skeptik [129]

Answer:

10y=27+7

10y=34

y=34/10

y=3.4

Step-by-step explanation:

Firstly 7 is added to 27

Then adding 7 and 27

Dividing 34 by 10

8 0

3 years ago

3x + 5 - x = 9x - 7 + 12

Iteru [2.4K]

Answer:Combine like terms

−

{\color{#c92786}{3x}}+5{\color{#c92786}{-x}}=9x-7+12

3x+5−x=9x−7+12

−

{\color{#c92786}{2x}}+5=9x-7+12

2x+5=9x−7+12

Add the numbers

Subtract the same term from both sides of the equation

Simplify

Subtract the same term from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

HOPE THIS HELPS :)

Step-by-step explanation:

4 0

3 years ago