Ask question

Ask question

All categories

3 years ago

7

Number three . Show work plz

2 answers:

nordsb [41]3 years ago

8 0

13/15 - 1/3 Find a common denominator
1/3 x 5= 5/15
13/15 - 5/15 = 8/15

evablogger [386]3 years ago

6 0

13/15 - 1/3=8/15
1/3 x 5 = 5/15
13/15 - 5/15 =8/15

8/15 is final answer :D workings above

You might be interested in

The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

8 0

3 years ago

What is the length of a hypotenuse of a triangle if each of its legs is 4 units

azamat

Answer:

$\boxed{c = 5.7 units}$

Step-by-step explanation:

<u><em>Using Pythagorean Theorem:</em></u>

=> $c^2 = a^2+b^2$

Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)

=> $c^2 = 4^2+4^2$

=> $c^2 = 16+16$

=> $c^2 = 32$

Taking sqrt on both sides

=> c = 5.7 units

8 0

3 years ago

Read 2 more answers

Please answer this!) Name each angle in four ways. The classify as acute,right,obtuse or straight. When writings the name write

Rudik [331]

Answer:

B

Step-by-step explanation: ik it is

8 0

3 years ago

which descriptions from the list below accurately describe the relationship between angle QRS and angle TUV check all that apply

Alex777 [14]

yes ,you are correct

ans is

D. similar

5 0

3 years ago

How many solutions does the system have?

Ipatiy [6.2K]

It’s has NO SOLUTION.

8 0

3 years ago

Read 2 more answers