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3 years ago

Can someone please help me?

Mathematics

1 answer:

Lelu [443]3 years ago

6 0

Answer:

60.6°

Step-by-step explanation:

Cos(x°) = 27/55

x° = Sec(27/55) = 60.59964...

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Find the length of the arc.

Arte-miy333 [17]

radius=r=7in
Angle=135°

We know

Length if arc=L

$\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}$

$\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)$

$\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π$

$\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π$

$\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π$

$\\ \sf\longmapsto L=\dfrac{63π}{12}$

$\\ \sf\longmapsto L=\dfrac{21π}{4}in$

6 0

3 years ago

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

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.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

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

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

$n = 718.57$

Rouding up

We need a sample size of at least 719

6 0

3 years ago

An expression to convert 50 miles per hour to miles per minute is shown. 50 miles Over 1 hour into 1 hour Over blank minutes

Darina [25.2K]

Answer:

$\frac{50 miles}{1 hour} * \frac{1 hour}{60 minutes}$

Step-by-step explanation:

Since 1 hour contains 60 minutes, So 1 hour would by divided by 60

So, the required expression is,

=> $\frac{50 miles}{1 hour} * \frac{1 hour}{60 minutes}$

7 0

3 years ago

Read 2 more answers

How many solutions does this equation have?<br> (15x + 21) / 3<br> = 5x + 7

Lesechka [4]

Answer:

3*(5*x-7)-(15*x-21)=0

Step-by-step explanation:

3 • (5x - 7) - (15x - 21) = 0

Step 2 :

Equation at the end of step 2 :

0 = 0

Step 3 :

Equations which are always true :

7 0

3 years ago

Solve and graph the absolute value inequality: |2x + 4| > 14.

katrin2010 [14]

Hi Malik.
2x+4>14 or -(2x+4)>14
solve each inequality individually
you get
x>5 or x<-9

3 0

4 years ago