The equation is in slope-intercept form, so you can read the equation to find the y-intercept is (0, -1).
Since the slope is -1/2, the graph goes <em>up</em> 1 unit for each 2 units to the <em>left</em>. The x-axis is up 1 unit from the y-intercept, so the x-intercept is 2 units to the left of x=0, at (-2, 0).
The graph is the line that goes through the points (0, -1) and (-2, 0).
_____
If you like, you can put the equation into intercept form, which shows you both the x- and y-intercepts at once. That form is ...
... x/a + y/b = 1
where <em>a</em> and <em>b</em> are the x- and y-intercepts.
If we add 1-y to the given equation, we have ...
... 1 = (-1/2)x - y
... 1 = x/(-2) + y/(-1) . . . . intercept form
Answer:
37.70% probability that the student will pass the test
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of other questions. 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.
10 true/false questions.
10 questions, so 
True/false questions, 2 options, one of which is correct. So 
If a student guesses on each question, what is the probability that the student will pass the test?
37.70% probability that the student will pass the test
Answer:
Is this a question
Step-by-step explanation:
If so give more context
The z-score is given by the formula:
z=(x-μ)/σ
μ=1252
σ=129
The answer to the questions given will be as follows:
a] <span>what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
z=(1400-1252)/129
z=1.15625
P(x</span>≤<span>1400)=0.8770
z=(1100-1252)/129
z=0.1190
P(X</span>≤1100<span>)=0.1190
the answer will be:
P(1100</span>≤x≤1400<span>)=0.8770-0.1190=0.758
b]</span><span>what is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?
</span>z=(1000-1252)/129=-1.954
P(X≤1000)=0.0256
c] <span>what proportion of bags contains more than 1200 chocolate chips?
z=(1200-1252)/129
z=-0.4031
P(X</span>≥1200<span>)=1-P(X</span>≤1200<span>)=1-0.4031=0.5969
</span>
4x + 6 < 3x - 5 is our given inequality
4x < 3x -11 by subtracting 6 on both sides of the inequality sign
x < -11 by subtracting 3x on both sides.
Thus, x < -11 -- choice D -- is the solution.
