Answer:
5)30
6)491
Step-by-step explanation:
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The ratios of side lengths in a 30-60-90 triangle are 1 : √3 : 2.
The longer leg is ...
B: 2 times the length of the shorter leg
Using the binomial distribution, there is a 0.1201 = 12.01% probability that Alysha will win the bet.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the parameters are given as follows:
n = 20, p = 0.5.
She wins the bet if there are 12 boys, hence the probability is P(X = 12), found as follows:


0.1201 = 12.01% probability that Alysha will win the bet.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer: The expression 13÷5 is a fraction. Here the only option that makes sense as per this expression is:
B. Each of 5 cupcakes used 13 pound of sugar. What is the total amount of sugar used?
Therefore the option B is correct
Also please note:
A fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.
Answer:
x = 10
Step-by-step explanation:
45x - 15x = 300
Combine like terms
30x = 300
Divide each side by 30
30x/30 = 300/30
x = 10