In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.
In the problem, they multiplied the shortest leg by sqrt(3)
Hypotenuse = shortest leg x 2
Hypotenuse = 7 x 2 = 14 units
I dont know exactly what your asking but 145% of 24 is 34.8
and 24% of 145 is 34.8
i guess they came out the same lol
Answer:

Step-by-step explanation:

Using the quadratic formula:

Hope this helps!
60% is shaded because each box equals 10% and since 6 of them are shaded 10%*6= 60%
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get

The
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>