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Lubov Fominskaja [6]
3 years ago
12

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed

and the parameter that is being tested. H0: σ = 8.6 H1: σ < 8.6
Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

Test is Left tailed test

Parameter tested is standard deviation

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0: σ = 8.6

Alternative hypothesis; H1: σ < 8.6

Where;σ is a constant generally known in statistics as the standard deviation.

Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.

Alternative hypothesis says σ < 8.6.

This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.

Thus, it's a left tailed test

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Express the complex number in trigonometric form.<br><br> -6 + 6\sqrt(3) i
horrorfan [7]

Answer:

<h2>12(cos120°+isin120°)</h2>

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = \sqrt{x^{2}+y^{2} and the argument \theta = tan^{-1}\frac{y}{x}

In polar form, x = rcos\theta \ and\ y = rsin\theta

z = rcos\theta+i(rsin\theta)\\z = r(cos\theta+isin\theta)

Given the complex number, z = -6+6\sqrt{3} i. To express in trigonometric form, we need to get the modulus and argument of the complex number.

r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12

For the argument;

\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3}  \\\theta = -60^{0}

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

\theta =180-60\\\theta = 120^{0}

z = 12(cos120°+isin120°)

This gives the required expression.

4 0
4 years ago
This is a tough one that I solved, I wanted to see how everyone else solves it.
V125BC [204]

a=2c+40 z=2c+142 x=2c+165 b=c+82 y=c-20

14+2c+40+2c+142+2c+165+c+82+c-20=1203

c=86 2/3

y=66 2/3

b=168 2/3

x=338 1/3

z=315 1/3

a=213 1/3

4 0
3 years ago
Composition f(g(x)) and g(f(x)) function f and g are shown on the graph. Which statements describe the composition? Check all th
SVEN [57.7K]

Answer:

a,c,d,e

Step-by-step explanation:

3 0
4 years ago
(Please and thank you! I stink at Math!)
Hunter-Best [27]
For every 1 mile across you go, you go 15 gallons up. Therefore, it is A, 15 gallons per mile
6 0
4 years ago
Lee has $200 to spend on shirts at $22 each and pants $38 each. what inequality represents the possible number of shirts and pan
abruzzese [7]

The inequality that models the given situation will be y*$22 + x*$38 ≤ $220 And some solutions are (1, 1), (1, 2), (2, 2).

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To find the inequality, we need to define the variables that we will use, the variables are:

x = number of pants bought.

y = number of shirts bought.

Then Knowing the price of each individual item, the total cost will be given by:

C = y $22 + x $38

And Lee has $220 to spend, thus the maximum amount that he can spend is $220, we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions we just need to find some values of x and y that make the inequality true, i.e , one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

Therefore, This is true, so (1, 1) is a solution.

Hence Another solutions are (2, 2), (1, 2), (0, 3), etc.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

8 0
2 years ago
Read 2 more answers
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