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3 years ago

Is 5:20 and 15:60 equivalent

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Answer:

Yes! When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.

Step-by-step explanation:

Hope this helps <3

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40.25 is 40 1/4 as a decimal

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A population of caribou in a forest grows at a rate of 5% every year. If there are currently 248 caribou, which function represe

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Step-by-step explanation:

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3 years ago

The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged

Ganezh [65]

Answer:

a) P [ X < 24 mm ] = 0,3015 or P [ X < 24 mm ] = 30,15 %

b) P [ X > 32 mm ] = 0,1251 or P [ X > 32 mm ] = 12,51 %

c) P [ 25 < X < 30 ] = 0,4964 or P [ 25 < X < 30 ] = 49,64 %

d) z(s) = 0,84

Step-by-step explanation:

Normal Distribution N ( μ₀ ; σ ) is N ( 26,5 ; 4,8 )

a) P [ X < 24 mm ] = ( X - μ₀ ) / σ

P [ X < 24 mm ] = (24 - 26,5)/ 4,8 = - 0,5208 ≈ - 0,52

P [ X < 24 mm ] = - 0,52

And from z-table we find area for z score

P [ X < 24 mm ] = 0,3015 or P [ X < 24 mm ] = 30,15 %

b)P [ X > 32 mm ] = 1 - P [ X < 32 mm ]

P [ X < 32 mm ] = ( 32 - 26,5 ) / 4,8

P [ X < 32 mm ] = 5,5/4,8 = 1,1458 ≈ 1,15

P [ X < 32 mm ] = 1,15

And from z-table we get

P [ X < 32 mm ] = 0,8749

Then:

P [ X > 32 mm ] = 1 - 0,8749

P [ X > 32 mm ] = 0,1251 or P [ X > 32 mm ] = 12,51 %

c) P [ 25 < X < 30 ] = P [ X < 30 ] - P [ X < 25 ]

P [ X < 30 ] = 30 - 26,5 / 4,8 = 0,73

From z-table P [ X < 30 ] = 0,7673

P [ X < 25 ] = 25 - 26,5 / 4,8 = - 0,3125 ≈ - 0,31

From z-table P [ X < 25 ] = 0,2709

Then

P [ 25 < X < 30 ] = 0,7673 - 0,2709

P [ 25 < X < 30 ] = 0,4964 or P [ 25 < X < 30 ] = 49,64 %

d) If 20 %

z- score for 20% is from z-table

z(s) = 0,84

6 0

3 years ago