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3 years ago

What’s 34% of 120? Please help

Mathematics

2 answers:

jeka57 [31]3 years ago

4 0

34% = 0.34
120 * 0.34 = 40.8
Solution: it is 40.8

Butoxors [25]3 years ago

4 0

40.8 is 34% of 120

you simply do .34 x 120.

If you were trying to do something like: 40.8 is what percent of 120? then you would do 40.8/120, and get .34, which is 34%.

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Describe the transformations necessary to get from the graph of the parent function f(x)=x? to the

VashaNatasha [74]

Answer:

translate the graph 5 units left and down 2 units

Step-by-step explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

g(x) = f(x -h) +k

Comparing this to your equation,

g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).

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2 years ago

Adult men have heights with a mean of 69. 0 inches and a standard deviation of 2. 8 inches. find the z-score of a man who is 71.

Anarel [89]

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z = 1.03

So, The value of the z score is 1.03.

Learn more about Z Score here

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5 months ago

Find the inverse function of <br><br> y=x^5+9

ollegr [7]

Answer:

$\sqrt[5]{x - 9}$

Step-by-step explanation:

y=x^5+9

To find inverse function make x the subject, first:

y=x^5+9

y - 9 = x^5

x = $\sqrt[5]{y - 9}$

$y^{-1} = \sqrt[5]{x - 9}$

so inverse function of y=x^5+9 is $\sqrt[5]{x - 9}$

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2 years ago

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Find the volume of the wedge with vertices at points (0,0,0), (1,0,0), (0,1,0), (0,0,1) by integrating the area of cross-section

Angelina_Jolie [31]

Answer:

V = 1/6 cubic units

Step-by-step explanation:

Applying the concept of integrals for volume calculation:

$V = \int\limits^b_a {S(x)} \, dx$ (1)

V = volume of the solid bounded by x = a and x = b

S(x) = cross section area of the solid, perpendicular to the x axis

From the figure we have that S is the area of a triangle that has base Z and height Y

Area of the triangle = $S(x)=\frac{y(x)*z(x)}{2}$ (2)

Calculation of y(x) and z(x)

We apply the equation of the point-slope line (plane xy):

Slope = $m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}$ (3)

Equation of the line = $y - y_{1} =m(x-x_{1} )$ (4)

Replacing the points (1,0) and (0,1) in (3):

$m=\frac{1-0}{0-1} =-1$

Replacing the point (1,0) and m = -1 in (4):

$y-0=(-1)(x-1)$

y(x) = -x + 1 (Line A-B) (5)

We apply the equation of the point-slope line (plane xz):

Slope = $m = \frac{z_{2} - z_{1} }{x_{2} - x_{1}}$ (6)

Equation of the line = $z - z_{1} =m(x-x_{1} )$ (7)

Replacing the points (1,0) and (0,1) in (6):

$m=\frac{1-0}{0-1} =-1$

Replacing the point (1,0) and m = -1 in (7):

$z-0=(-1)(x-1)$

z(x) = -x + 1 (Line A-C) (8)

Replacing (5) and (8) in (2)

$S(x) = \frac{(-x + 1) * (-x + 1)}{2} =\frac{(-x + 1)^{2} }{2}$ (9)

Replacing (9) in (1) and knowing that a = 0 and b = 1:

$V = \int\limits^1_0 {\frac{(-x + 1)^{2} }{2}} \, dx = \int\limits^1_0 {\frac{x^{2}-2x+1 }{2}} \, dx$

$V =\frac{1}{2} (\frac{x^{3} }{3} -2\frac{x^{2} }{2} +x)$ evaluated from x=0 to x=1

$V= \frac{1}{2} (\frac{1}{3} -1 +1) = \frac{1}{6}$

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3 years ago

Which relation is a function?<br> Mn

givi [52]

Number 3 because there is one output(y value) for one input (x value)

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3 years ago

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