Answer:
Step-by-step explanation:
There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.
a) Select 3 apples with replacement. Find the probability that all there are green.
- Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:
- = (Number of green apples/Total apples)
Therefore 0.0130 is the required probability here.
b) Select 3 apples with replacement. Find the probability that none are red
Probability that none are red is computed here as:
- = (Number of non red apples/Total apples)
Therefore 0.14838 is the required probability here
c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples
- Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
- = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
- = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
Therefore 0.6647 is the required probability here
d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.
- Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
Therefore 0.3125 is the required probability here
Answer:
Step-by-step explanation:
From the given figure, it can be seen that 
, thus ΔABC is an isosceles triangle.
Therefore,
⇒
Solving the above equation, we get
⇒
⇒
⇒
Now, substituting the value of x in AC, we have
⇒
⇒
⇒
⇒
Thus, the length of the side AC of the given triangle is 25 units.
Answer:
expression A hope this helps
Step-by-step explanation:
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Multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
<h3>How to verify if a triangle form Pythagorean triple?</h3>
Pythagoras's principle follows the rule:
c² = a² + b²
where
- a and b are the legs
- c is the hypotenuse side.
Therefore, Pythagorean triples are a² + b² = c² where a, b and c are the three positive integers. The most known and smallest triplets are (3,4,5).
If we reduced the length of the side of the triangle with the greatest common factor, it should give us 3, 4, 5.
Hence,
21, 28 and 35 has greatest common factor as 7
21 / 7 , 28 / 7 and 35 / 7
3, 4, 5
Hence, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
learn more on Pythagorean triple here: brainly.com/question/16246042
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By taking the quotient between the total length and the length needed for each step, we conclude that Luna can make 9 steps.
<h3>
How many steps can she make from the rope?</h3>
To find this, we need to take the quotient between the total length of the rope and the length needed for each step.
She has a total length of 30ft.
For each step she needs (2 + 1/3) ft plus (1/2) ft for each knot, and there are two knots, then each step needs: (2 + 1/3)ft + 2*(1/2)ft = (3 + 1/3) ft.
Then the number of steps that can be made is:
N = (30 ft)/(3 + 1/3) ft. = 9
She can make 9 steps or the lader.
If you want to learn more about quotients:
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