Answer:
C
Step-by-step explanation:
Hypotenuse = 9cm^2+ 13cm^2
=81 +169
=250
= \{250}(find the square root)
=16cm^2(hypotenuse)
Answer:

Step-by-step explanation:
These
ways are:
- The first die showing a 4 and the second die showing a different number
- The second die showing a 4 and the first die showing a different number
- Both dice showing 4s
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>