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Svet_ta [14]
3 years ago
13

There are 20 sweets in a packet. The sweets are either red or blue. 12 of the sweets are red.

Mathematics
2 answers:
Dmitrij [34]3 years ago
6 0
A)3/5
I'm not sure about the other, not too good with ratios.
ivanzaharov [21]3 years ago
6 0
A. 3/5 are red sweets

B. 2/5 are blue sweets
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You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your su
Ymorist [56]

Answer:

First Question

lower limit of 9 mph  j =  8.5 \  mph

upper  limit of 9 mph q =  9.5 \  mph

Second Question

lower limit of 120 pounds is  i =  119.9 \  pounds

upper limit of 120 pounds is  l =  120.1 \  pounds

Third  Question

lower limit of 187 pounds is  a =  186.75 \  pounds

upper limit of 187 pounds is  b =  187.25 \  pounds  

Step-by-step explanation:

From the question we are told that

  The amount of beer administered is  three 12-ounce beers

  The  amount of coffee administered is  two cups of coffee

  The  speed limit is   60-mph

  The smallest unit of scale is  1 mph

  The first subject scores 9 mph

Generally given that the smallest unit of scale is  1 mph then the deviation of  9 mph will be by \frac{1}{2} \ mph

Hence the lower limit of 9 mph is

    j =  9 - 0.5

    j =  8.5 \  mph

And  the upper  limit of 9 mph is

    q =  9 + 0.5

    q =  9.5 \  mph    

Generally given that the measuring weight on a scale that is accurate to the nearest 0.2 pound then 120 pounds will deviate by  \frac{1}{0.2} \ pounds

Hence the lower limit of 120 pounds is

    i =  120 - 0.1

    i =  119.9 \  pounds

And  the upper  limit of 120 pounds is

    l =  120 + 0.1

    l =  120.1 \  pounds    

Generally given that the measuring weight on a scale that is accurate to the nearest 0.5 pound then  187 pounds will deviate by  \frac{1}{0.5} \ pounds = 0.25 \ pounds

Hence the lower limit of 120 pounds is

    a =  187 - 0.25

    a =  186.75 \  pounds

And  the upper  limit of 120 pounds is

    b =  187 + 0.25

    b =  187.25 \  pounds      

5 0
4 years ago
A plane flies due East from A(lat.53°N, long. 25°E) to a point B(lat. 53.°N, Ilong. 85°E) at an average speed of 400 km/h. The p
aniked [119]

Answer:

  (a) 4035 km

  (b) 10 h

  (c) 35°

Step-by-step explanation:

For the purpose here, we assume the Earth is a sphere, the radius to the path of the airplane is 6400 km, and pi = 22/7. We further assume that each path is part of a circle of appropriate radius.

<h3>(a) Distance A-B</h3>

The distance from A to B will be the length of the latitude line between 25°E and 85°E, a change in longitude of 60°. The radius of the circular path along latitude line 53° is ...

  (6400 km)×cos(53°) ≈ 3851.616 km

The length of the path from A to B is given by ...

  s = rθ . . . . where θ is in radians

  s = (3851.616 km)(π/3) = (3851.616 km)(22/(7·3)) ≈ 4035 km

The distance from A to B is about 4035 km.

<h3>(b) Time A-B</h3>

The time is the ratio of distance to speed:

  t = d/r = (4035 km)/(400 km/h) = 10 h

The time taken to reach point B is 10 hours.

<h3>(c) Latitude of point C</h3>

Using the above relation for arc length, we can find the angle associated with an arc length of 2000 km.

  θ = s/r = (2000 km)/(6400 km) = 5/16 . . . . radians

The conversion to angle is ...

  degrees = radians × 180/π

  degrees = (5/16)(180/(22/7)) = 5·180·7/(16·22) = 17 79/88 ≈ 18

Point C is 18° closer to the equator than latitude 53°, at latitude 35°.

The latitude of C is 35°.

__

<em>Additional comment</em>

Using a different approximation for pi will change the AB distance by a few km.

6 0
2 years ago
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