Answer:
the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is
Step-by-step explanation:
1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1
y^2 is -1
y^1 is 5
x^2 is 8
x^1 is -4
-1 - 5 = -6
8 - (-4) = 12
-6/12 is -1/2 or -0.5
2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.
5= -0.5(-4) + b
5= 2 + b
3= b
The valid probability distributions are the ones in options C and D.
<h3>
Which of the following are valid probability distributions?</h3>
For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:
- All of these probabilities are numbers between 0 and 1.
- p₁ + p₂ + ... + pₙ = 1.
So, for the first rule we can discard the first option, where we have negative probabilities.
To check the other 4 options, just add the probabilities and see if the addition gives 1.
The options that add up to 1 are C and D, so these two are the correct options.
D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1
C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1
If you want to learn more about probability:
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Answer:
79 units²
Step-by-step explanation:
The area of a circle is found by using the formula A = π x r². Since we are not given the radius we can use the formula r = C / (2π). Substituting in the given values, we get r = 31.5/(2π). 2 times pi is 6.283185307. 31.5 divided by this will get you 5.013380707. Now, put that value in for r in the area equation. A = π x 5.013380707². Pi times 5.013380707² equals 78.96074613. This can be rounded to 79. (Or 80 if you need to the nearest whole number.)
Question # 55We can see the trend from the given graph. From Monday to Thursday the price kept on decreasing while on Friday it increased. So first the price decreased and then increased.
Therefore, the correct answer to this question is option C. The price decreased at the beginning of the week and then increased at the end of the week.
Question # 56.
The schedule of athlete allows no more than 75 minutes of training. This means the training time is 75 minutes or less. One round of strength training requires 8 minutes. So s rounds of strength training will require 8s minutes. One round of endurance training require 12 minutes, so e rounds of endurance training will require 12e minutes.
The total time of both these trainings can be written as:
8s + 12e
We know that the time can be 75 minutes or lesser. So we can write the inequality as:
8s + 12e ≤ 75
So, option H is the correct answerQuestion 57The given equation is:
2y = - 3(x - 2)
In order to identify the slope we need to write the equation if slope intercept form. When written in slope intercept form, the coefficient of x term is the slope of the line. In order to write in slope intercept form, isolate y on one side as shown below:
So, the slope of line is -3/2.
Hence option B is the correct answer
