Answer:
f(0) = 3
Step-by-step explanation:
Step 1: Distribute
f(x) = -3x + 3
Step 2: Plug in
f(0) = -3(0) + 3
f(0) = 3
Answer:
With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months
Step-by-step explanation:
The lower bound of the confidence interval is 29.9%.
So, with 95% confidence, we know that at least 29.9% of the New York population tested for HIV.
Out of 6 million, that is:
0.299*6000000 = 1,794,000
With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months
Answer:
B. Divide 124 by 229.
Step-by-step explanation:
Given the table

The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.
The total number of males 
The number of males that like drama 
So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.
Answer:
b = a + 3.75
Step-by-step explanation:
a = 4b - 15
You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides
a (+15) = 4b - 15 (+15)
a + 15 = 4b
Next, divide 4 from both sides. Remember to divide from all terms.
(4a + 15)/4 = (4b)/4
b = (4a)/4 + (15)/4
b = a + 15/4
b = a + 3.75 is your answer
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Answer:
ab = 2
Step-by-step explanation:
Given equations
ax² +ax + 2 = 0
x² + x + b = 0
root of both the equation
x= 1
then we can plug in x = 1 in both the equation
ax² +ax + 2 = 0 x² + x + b = 0
a*1² +a*1 + 2 = 0 1² + 1 + b = 0
a +a + 2 = 0 1 + 1 + b = 0
2a + 2 = 0 2 + b = 0
2a = - 2 b = -2
a = -2/2 = -1
Thus,
a = -1
b = -2
a*b = -1*-2 = 2
ab = 2