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3 years ago

The table below gives the height h=f(t)h=f(t) in feet of a weight on a spring where t is time in seconds.

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

A)
Period is 7 seconds

b)
Midline is at 4.6 ft

c)
Amplitude is: 7.9 - 4.6
Amplitude = 3.3 ft

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Heights of adult males are known to have a normal distribution. a researcher claims to have randomly selected adult males and me

8090 [49]

Answer:

The sum of the probabilities is greater than 100%; and the distribution is too uniform to be a normal distribution.

Step-by-step explanation:

The sum of the probabilities of a distribution should be 100%. When you add the probabilities of this distribution together, you have

22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121

This is more than 100%, which is a flaw with the results.

A normal distribution is a bell-shaped distribution. Graphing the probabilities for this distribution, we would have a bar up to 22; a bar to 24; a bar to 21; a bar to 26; and bar to 28.

The bars would not create a bell-shaped curve; thus this is not a normal distribution.

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3 years ago

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How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

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3 years ago

Mark is 7 years older than his brother, who is y years old. Which expression correctly represents Mark's age?

Alex787 [66]

7 + Y = X (x= His unknown age)

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3 years ago

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ruslelena [56]

A couple is 2. Hope this helps.

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4 years ago

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What’s the solution for 6(2m - 3) - 3m= 2m - 18 + m

katen-ka-za [31]

Answer:

12m-18-3m=2m+m-18

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Step-by-step explanation:

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