Let's find a.
We are given a right angle which is 90° and an angle marked by "a" next to it. We know that when they are added together, they make a supplementary angle so we can make a equationa and solve.
90 + a = 180
a = 90°
Let's find b.
By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.
Let's find c.
Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.
163 + b = 180
c = 27°
Let's find d.
Using the angle that measures 70°, we can solve it like we did with a and c.
70 + d = 180
d = 110°
Let's find e.
Now that we know what d equals, we know that d and e make a supplmentary angle. So, make an equation and solve.
110 + e = 180
e = 70°
Best of Luck!
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.
A = 8i + 6j
b = 4i + 5j
ab = (8i + 6j)(4i + 5j)
ab = 8i(4i + 5j) + 6j(4i + 5j)
ab = 8i(4i) + 8i(5j) + 6j(4i) + 6j(5j)
ab = 32i² + 40ij + 24ij + 30j²
ab = 32i² + 64ij + 30j²
ab = <32, 30>
The answer is D.
Slope= (Y2-Y1)/(X2-X1)
Slope=(3-(-4) ) /(-14-(-7) )
Slope= (3+4)/(-14+7)
Slope=7/-7
Slope= -1
B) D) and probably C) I’m not sure
