Answer:
The maximum value is 5
Step-by-step explanation:
Since this is an upside-down parabola, the maximum value occurs at the vertex. Using -b/2a, we can find the x-value of the vertex and use that x value to plug back into the original function to find the maximum value.
x = -b/2a = -(-12)/(2(-6)) = 12/-12 = -1
f(-1) = -6(-1)^2-12(-1)-1 = 5
Answer:
The probability that a randomly selected person from this sample liked recreational reading or disliked recreational reading is 1.
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.
Mutually exclusive events are those events which cannot occur together. They are also known as disjoint events.
If events <em>A</em> and <em>B</em> are mutually exclusive then:
The data provided is:
Opinion Like academic Dislike academic Total
reading reading
Liked recreational 136 40 176
reading
Disliked recreational 16 8 24
reading
Total 152 48 200
Denote the events as follows:
<em>X</em> = a person liked recreational reading.
<em>Y</em> = a person disliked recreational reading.
Compute the probability that a randomly selected person from this sample liked recreational reading or disliked recreational reading as follows:
Thus, the probability that a randomly selected person from this sample liked recreational reading or disliked recreational reading is 1.
Answer:
D. Both B and C
Step-by-step explanation:
The government will give the same amount of available social security number to each state. So the available social security number pool will be divided by the total number of states. There are a total of 50 states in the USA. If the number pool is 5 x 10^9, then each state going to have:
5 x 10^9 /50= 0.1 * 10^9 = 1*10^8
The answer will be D since 1 x 10^8 and 100,000,000 is the same number
One way to find the slope-intercept form is to plug the given values into point-slope form, y - y_{1} = m (x - x_{1}), where x_{1} and y_{1} are the coordinate points and m is the slope. Then, you solve for y.
y - y_{1} = m (x - x_{1}) Plug in the values
y - (-4) = 34 (x - 5) Fix the minus negative four
y + 4 = 34 (x - 5) Use the Distributive Property
y + 4 = 34x - 170 Subtract 4 from both sides
y = 34x - 174
The slope-intercept form of the equation that passes through (5, -4) and has a slope of 34 is y = 34x - 174.
