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2 years ago

13

What is the mode and outlier for 116, 119, 121, 122, 124, 128?

2 answers:

topjm [15]2 years ago

7 0

They all would be the mode (the mode is the one that occurs the most and they all occur once) and the outlier would technically be 128 but it still isn't really an outlier.

Zarrin [17]2 years ago

3 0

The mode is the one that occurs most often so the answer would be all of them

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Let f(x) be a polynomial such that f(cos θ) = cos(4) θ for all θ. Find f(x). (This is essentially the same as finding cos(4) θ i

Galina-37 [17]

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

cos(2a) = cos²(a) - sin²(b)
sin(2a) = 2sin(a)cos(a)
sin²(a) = 1-cos²(a)

cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

f(x) = 8x⁴-8x²+1.

5 0

2 years ago

2.) A cubic function that has 3 zeros: 2, -5, and 7.

stiv31 [10]

Answer:

65

Step-by-step explanation:

8 0

2 years ago

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the perce

neonofarm [45]

Answer:

The correct value of the Z-statistic is z = -1.56

Step-by-step explanation:

A company manufacturing computer chips finds that 8% of all chips manufactured are defective.

This means that the null hypothesis is:

$H_{0}: p = 0.08$

A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.

This means that the alternate hypothesis is:

$H_{a}: p < 0.08$

z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.08 is tested at the null hypothesis:

This means that $\mu = 0.08, \sigma = \sqrt{0.08*0.92}$

After training was implemented, a sample of 450 chips revealed only 27 defects.

This means that $n = 450, X = \frac{27}{450} = 0.06$

The correct value of the Z-statistic is

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}$

$z = -1.56$

5 0

2 years ago

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The fun

sveta [45]

Well, i know that a non linear function always has a number power greater than 1, and a linear function only has a number power 1 or less.

Hope this helps

8 0

2 years ago

Read 2 more answers

Main street intersects oak road. If a right-hand turn onto oak road requires a 77 degree turn, what degree must a left-hand turn

Olenka [21]

Answer:

The measured from a left-hand turn on the oak road must be 103 degrees

Step-by-step explanation:

Let

x ----> measured in degrees from a left-hand turn on the oak road

y ----> measured in degrees from a right-hand turn on the oak road

we know that

$m\angle x+m\angle y=180^o$ ----> by supplementary angles (form a linear pair)

we have

$m\angle y=77^o$ ---> given problem

substitute

$m\angle x+77^o=180^o$

solve for $m\angle x$

$m\angle x=180^o-77^o\\m\angle x=103^o$

therefore

The measured from a left-hand turn on the oak road must be 103 degrees

6 0

2 years ago