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3 years ago

15

Karen measured a hotel and made a scale drawing. A room in the hotel, which is 10 feet wide in real life, is 2 inches wide in th

e drawing. What is the scale of the drawing?

1 answer:

xz_007 [3.2K]3 years ago

7 0

10 feet is 120 inches. If 2 inches represents 120 inches, then the scale is 120/20 or 1inch scale = 60 inches = 5 feet

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You deposit 1200 in an account. the annual interest is 3 percent. how long will it take you to earn 108 in simple interest

AleksandrR [38]

1200 + 108 = 1200( 1 + 0.03x)

1308 = 1200 + 36x

36x = 108

x = 3 years

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3 years ago

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The current process has a mean of 2.50 and a std deviation of 0.05. A new process has been suggested by research. What sample si

Novay_Z [31]

Answer:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=0.05$ represent the population standard deviation

n represent the sample size (variable of interest)

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

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2 years ago

Which statment explains how the lines x+y=2 and y=x+4 are related?

Nata [24]

Answer:

they are perpendicular

Step-by-step explanation :

<u>If you graph both equations you will see that they Intersect with each other.</u><u> </u>

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2 years ago

26=5(x+10)+3x whatsy answer how do I get it??

olga_2 [115]

26 = 5 (x + 10) + 3x
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3 years ago

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A circle with radius of 1 cm sits inside a 3 cm x 4 cm rectangle.

White raven [17]

The area of shaded-region is 8.86 cm^2

Step-by-step explanation:

We can see that there is a circle and a triangle in the given figure

In order too find the area of shaded region, we have to find the area of rectangle and circle first. The area of the shaded region will be obtained by subtracting the area of circle from the area of rectangle.

So,

<u>Area of circle:</u>

Radius = r = 1 cm

So,

$A_c = \pi r^2\\= 3.14 * (1)^2\\= 3.14*1\\= 3.14\ cm^2$

<u>Area of rectangle:</u>

Length of rectangle = l = 4 cm

Width of rectangle = w = 3 cm

So,

$A_r = l*w\\= 4 *3\\=12 cm^2$

Now,

$Area\ of\ shaded-region = A_r - A_c\\= 12 - 3.14\\=8.86\ cm^2$

The area of shaded-region is 8.86 cm^2

Keywords: Area, shaded regions

Learn more about area at:

#LearnwithBrainly

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