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1 year ago

Find the greatest number which divides by 1280 and 1371 leaves a remainder in each case?

2 answers:

vladimir1956 [14]1 year ago

4 0

1279???
Because the gcf does not leave any remainders behind. The gcf could be 1280, but that would not leave a remainder behind if you divided 1280 by 1280. So, I think it is 1279, but i am probably wrong

labwork [276]1 year ago

3 0

294
is it hope i helped

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The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers

zalisa [80]

Answer:

0.32km

Step-by-step explanation:

The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers.

This is written mathematically as:

S = 356√d

What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

S = 200km/hr

Hence:

200km/hr = 356√d

Divide both sides by 356

200/356 = 356√d/356

√d = 200/356

Square both sides

(√d)² = (200/356)²

d =(0.5617977528)²

d = 0.3156167151km

Approximately = 0.32km

6 0

1 year ago

Using Normal Distribution to Analyze Data Martin suspects that people carry less cash with them than they used to because of cre

jek_recluse [69]

Answer:

Step-by-step explanation:

Sample size = 95

X=cash carried by the persons

x bar = 8.00

s = sample std dev = 2.50

Std error = $\frac{s}{\sqrt{n} } =\frac{2.5}{\sqrt{95} } \\=0.2565$

Hence Z score would be

$\frac{x-8}{0.2565}$

$a) P(X$

-0.00

b) $P(9$

c) 95% conf interval margin of error = ± $1.96*0.2565$

=±0.54782

Confi interval = (8-0.5027, 8+0.5027)

= (7.4923, 8.5027)

C)If conf level increases, then width of interval would increase since critical value would increase.

If sample size increases std error would decrease and hence margin of error.

So interval would decrease.

3 0

1 year ago

The following chart shows a store?s records of coat sales over two years. 2 circle graphs. A circle graph titled 2006. Top coats

Mkey [24]

Answer:

<u>The correct answer is A. 16.5%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly and to calculate the trend:

2006 2007 Trend

Top Coats 297 223 -24.92%

Parkas 210 210 + 0%

Jackets 213 285 +33.80%

Raincoats 137 259 +89.05

Trench coats 103 127 +23.30%

Total 960 1,104 +15%

2. If the trend shown in these graphs stays constant, what percent of the market will parkas occupy in 2008?

Let's calculate the percent of the market occupied by parkas.

In 2006 = 210/960 = 21.88%

In 2007 = 210/1,104 = 19.02%

In 2008 = 210/1,270 = 16.54% (210 + 0 = 210; 1,104 + 15% = 1,270)

<u>The correct answer is A. 16.5%</u>

7 0

2 years ago

Read 2 more answers

A circle fits inside a semicircle of diameter 24mm

patriot [66]

Answer:

The shaded are is $113\ mm^{2}$

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

where

$r=24/2=12\ mm$ ----> the radius is half the diameter

substitute

$A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}$

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

$A=\pi r^{2}$

where

$r=12/2=6\ mm$ ---> the radius of circle inside is half the radius of semicircle

substitute

$A=\pi(6)^{2}=36\pi\ mm^{2}$

step 3

Find the shaded area

$72\pi\ mm^{2}-36\pi\ mm^{2}=36\pi\ mm^{2}$

assume

$\pi=3.14$

$36(3.14)=113.04\ mm^{2}$

3 significant figures is

$113\ mm^{2}$

6 0

1 year ago

Given right triangle XYZ, what is the value of tan(60°)?

Svetlanka [38]

we know that

Step $1$

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

$XY^{2}=XZ^{2} +ZY^{2} \\ ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units$

$ZY=21\sqrt{3}\ units$

Step $2$

in the right triangle XYZ

Find tan $60$ °

we know that

$tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}$

in this problem

opposite side angle $60$ is ZY

adjacent side angle $60$ is XZ

$tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21} \\ \\ tan\ 60=\sqrt{3}$

therefore

the answer is

$\sqrt{3}$

3 0

1 year ago

Read 2 more answers