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3 years ago

The data set shows the number of times Esperanza rode the Ferris wheel on each

Mathematics

1 answer:

Artemon [7]3 years ago

8 0

Answer:

Step-by-step explanation:

2 shows up the most amount of times and is the most frequent number. So the frequency of the data set is 2.

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You might be interested in

Slope of (-7,-2) (9,4)

Olenka [21]

Answer:

m= $\frac{3}{8}$

Step-by-step explanation:

1. Use the slope equation to solve the problem

$\frac{y_{2} -y_{1}}{x_{2} -x_{1} }$

2. Plug in your values into the equation.

$\frac{4-(-2)}{9-(-7)}$

3. Simplify the equation.

m= $\frac{3}{8}$

4 0

3 years ago

Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

Is y=.75x+2 proportional or non proportional

olya-2409 [2.1K]

Answer:

non proportional

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformatio

Montano1993 [528]

Answer:

$g(x) = 12 {e}^{ - x - 7}$

Step-by-step explanation:

The parent function is

$g(x) = e {}^{x}$

First it is asked to reflect over the y axis so using the rule

$g(x) = g( - x)$

Our function looks like

$g(x) = e {}^{ - x}$

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

$g(x) = g(x - h)$

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

$g(x) = a \times g(x)$

where a is the vertical stretch. So now it would look like

$g(x) = 12 {e}^{ - x - 7}$

4 0

3 years ago

One side of a rectangle is 20 cm larger than the other side. If you make the smaller side two times larger and the larger side t

grandymaker [24]

Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!

3 0

4 years ago