Answer:
42
Step-by-step explanation:
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Answer:
82
Step-by-step explanation:
solve a + (3a) + (a + 100)=510
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.
Answer:
Option C and D are correct.
Step-by-step explanation:
Area of rectangle = 144 cm^2
Width of rectangle = 9 cm
Length of rectangle = ?
We know,
Area of rectangle = Length * Width
144 = Length * 9
144/9 = Length
=> length = 16 cm
Option A is incorrect as 3 times width = 3* 9 = 27 but our length = 16 cm
Option B is incorrect as length = 16 cm and not 63 cm
Option C is correct as Length < 2(Width)
=> 16 < 2(9) => 16 < 18 which is true.
Option D is correct.
Perimeter = 2(Length + Width)
Perimeter = 2(16+9)
Perimeter = 50 cm
Option E is incorrect as Length ≠ Width
5)
Equilateral triangle, all sides are equal
So 2x + 5 = 11
2x = 6
x = 3
Answer is the first one
3; Equilateral theorem
6)
Isosceles triangle has at least two congruent sides.
So 6x = 24
x = 4
Answer x = 4
Converse of the Base Angle Theorem
7)
5x + 7 = 52
5x = 45
x = 9
Answer
x = 9
Base angle theorem
8)
5y - 14 = 3y
2y = 14
y = 7
Answer
7; Equiangular theorem