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Vikki [24]
3 years ago
5

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.

Mathematics
2 answers:
wlad13 [49]3 years ago
6 0

Step-by-step explanation:It says:

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.

Kate takes a yoghurt at random from the fridge.

She eats the yoghurt.

She then takes a second yoghurt at random from the fridge.

Work out the probability that both yoghurts were the same flavour.

Dafna11 [192]3 years ago
4 0
There is a 3/9 = 1/3 chance that she takes 1 strawberry. So there is a 1/3*1/3 = 1/9 chance that she gets two.
Peach== 2/9*2/9 = 4/81 chance of two
And cherry == 4/9*4/9 = 16/81 of two.

So 1/9 + 4/81 + 16/81
= 9/81 + 4/81 + 16/81
= 29/81
= 0,358 chance
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Step-by-step explanation:

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

brainly.com/question/28047791

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