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
<u>Define x:</u>
Let one of the numbers be x.
The other number is x + 2
<u>Construct equation:</u>
<span>twice the smaller is 16 more than the larger
</span>⇒2x = x + 2 - 16
<u>Solve x:</u>
2x = x + 2 - 16
x = -14
<u>Find the two numbers:</u>
Smaller number = x = -14
Larger number = x + 2 = -12
Answer: The two numbers are -14 and -12
Answer:
<h2>The fourth graph, from left to right, is the correct answer.</h2>
Step-by-step explanation:
The given piecewise function is
Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.
<em>So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.</em>
<em />
Therefore, the fourth graph, from left to right, is the correct answer.
Answer:
X= -11/4 + -1/4 √145 or X= -11/4 + 1/4 √145
Step-by-step explanation:
Hope this helped<3
