Answer:
624.102
Step-by-step explanation:
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Since the triangles make up a spinner, the triangles are isosceles.
The base is 2 cm and the perimeter is 10 cm.
The measure of the two legs can be determined from
2 + 2x = 10
Where is the length of the leg
Solving for x
x = 4
The area an isosceles is calculated using

where b is the length of the base
Substitute the values and multiply with the number of triangles in the spinner
Answer:
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.
This means that 
20 adults
This means that 
Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.
This is P(X = 12).


11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Let
x = # of <span>$5 dollar bills
y = </span># of <span>$10 dollar bills
x + y = 12 so x = 12 - y
5x + 10y = 95
substitute </span>x = 12 - y into 5x + 10y = 95
5x + 10y = 95
5(12 - y) + 10y = 95
60 - 5y + 10y = 95
5y = 35
y = 7
x = 12 - 7 = 5
answer
# of <span>$5 dollar bills = 5
</span># of $10 dollar bills = 7
Multiply (or distribute) the exponent outside the parenthesis with every exponent inside the parenthesis, remember that if there is no exponent shown, then the exponent is 1. Step 3: Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents.