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4 years ago

What is both the x in c with steps please

Mathematics

1 answer:

8_murik_8 [283]4 years ago

7 0

Answer:

Fig (c)

Step-by-step explanation:

30° + x° + x° + (180° - 70°) + (180° - 60°) = 540°

260° + 2x° = 540°

x = 280° /2

x = 140° (ANS)

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ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on cons

PolarNik [594]

Answer:

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.056.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 2.056\frac{\sigma}{\sqrt{n}}$

$2.056\sqrt{n} = 4\sigma$

$\sqrt{n} = \frac{4\sigma}{2.056}$

$(\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2$

$n = (\frac{4\sigma}{2.056})^2$

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

8 0

3 years ago

What fraction is it after subtracting one from both numerator and denominator becomes 5/17

ruslelena [56]

Answer:

6/18

Step-by-step explanation:

To find the answer to that, you reverse the subtraction. Start with 5/17 and add 1 to both numerator and denominator. You get ...

$\dfrac{5+1}{17+1}=\boxed{\dfrac{6}{18}}$

7 0

3 years ago

Given O A ‾ ⊥ O C ‾ OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overline m ∠ B O C = 6 x − 6 ∘

Sphinxa [80]

Answer:

x = 8

m∠BOC = 37°

m∠AOB = 53°

Step-by-step explanation:

If OA is perpendicular to OC, this means that <AOC = 90°

Given

m∠BOC=6x−6

m ∠AOB = 5 x + 8

The expression is true

m∠BOC+m∠AOB= m∠AOC

6x-6+5x+8 = 90

Find x:

11x + 2 = 90

11x = 90-2

11x = 88

x = 88/11

x =8

Get m∠BOC:

m∠BOC= 6x-6

m∠BOC= 6(8)-11

m∠BOC = 48-11

m∠BOC= 37°

Get m∠AOB;

m∠AOB = 90-m∠BOC

m∠AOB =90-37

m∠AOB = 53°

7 0

3 years ago

Read 2 more answers

Given that f(n) = 8n – 3 whats f (-4)

zlopas [31]

Answer:

f(-4)=8(-4)-3

=-32-3=-35

4 0

3 years ago

Use the graph below to answer the question that follows:

Strike441 [17]

By graphing the given points, we will get the attached figure
which represents:
f(x) = 3 sin x
but sin x = cos (x - π/2)
∴ f(x) = 3 cos ( x - π/2 )

The correct choice is option ⇒⇒⇒ <span>f(x) = 3 cos(x − pi over 2 ) </span>

3 0

3 years ago