Answer:
P(R) = 0.14
P(I) = 0.16
P(D) = 0.315
Step-by-step explanation:
Let Democrat = D
Republican = R
Independent = I
If 45% are Democrats, 35% are Republicans, and 20% are independents, then
Total registered voters = 100
In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,
D = 0.7 × 45 = 31.5
R = 0.4 × 35 = 14
I = 0.8 × 20 = 16
If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is
a Republican:
P(R) = 14 /100 = 0.14
an Independent
P(I) = 16/100 = 0.16
a Democrat
P(D) = 31.5/100 = 0.315
The degree of a polynomial is the highest power of its terms.
The power of a term is the sum of the powers of all the variables in a term.
A polynomial is written starting with the greatest power in standard form.
In the first case, the power of the first term is 3, the power of the second is 3 (2 from x + 1 from y) but the power of x has decreased so it is the second term, and then so on.
In the second case, the power is starting form 2 and then increasing to 3. This is incorrect.
Therefore, Marcus' suggestion is correct.
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
Answer:
perimeter: 26
area: 16 + 10 =26
perimeter: add all lengths.
area: multiply LxW
The test statistic <span>is
a value used in making a decision about the null hypothesis and is
found by converting the sample statistic to a score with the assumption
that the null hypothesis is true.
</span>
