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3 years ago

7

The original price was $60 and the new sales price is $45. What is the percent discount?

2 answers:

Harlamova29_29 [7]3 years ago

8 0

Answer:33%

Step-by-step explanation:

cestrela7 [59]3 years ago

5 0

Answer: 25%

Step-by-step explanation:

$\frac{60}{45}=\frac{100}{x}$

$x=\frac{45*100}{60} \\x=75$

Subtract 75% from 100%

100-75=25%

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Rewrite the equation in ax+by=c form. <br> Y+3=2(x-5)

Deffense [45]

Y+3=2(x-5)

y+3=2x-10

y+3+10=2x

y+13=2x

2x-y=13

6 0

3 years ago

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

Ede4ka [16]

Answer:

5 percent per annum

Step-by-step explanation:

interest rate:

interest: $1800

principal: $18000

duration: 2 years

1800/ 18000 * 100

result is 10%

Since interest is 10% in 2 years, 10% / 2

interest is 5% per year.

8 0

3 years ago

Find distance between parallel lines given equations in 3d

Lena [83]

Does it have an image?

6 0

3 years ago

Y=1/4x−2y=−2x+3 help solve problem.

8_murik_8 [283]

Answer:

(x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

1/4x -2 = -2x +3

(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

x = 20/9 = 2 2/9 . . . multiply by 4/9

y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

7 0

3 years ago