The greatest common factor between 6 and 30 would be 6, but I need to see the problem on the original piece of paper of a picture to understand the distributive property part of your question.
The slope of a line hat contains the following points: (17, -12) and (7, 8) is -2.
<h3>How to find the slope of a line?</h3>
The slope of a line is the change in dependent variable with respect to the change in the independent variable.
The slope of a line is rise over run.
The slope of a line can be represented as follows;
m = slope = y₂ - y₁ / x₂ - x₁
Hence, using (17, - 12) and (7, 8)
x₁ = 17
x₂ = 7
y₁ = - 12
y₂ = 8
slope = 8 + 12 / 7 - 17
slope = 20 / - 10
slope = -2
learn more on slope here: brainly.com/question/26650191
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Answer:
(a) The probability distribution is valid.
(b) The histogram is attached below.
(c) The mean is 33.47.
Step-by-step explanation:
(a)
A probability distribution is valid if:
- P (X = x) ≥ 0 for all values of <em>x</em>.
- ∑ P (X = x) = 1
From the probability distribution table it can be seen that the probability for all <em>x</em> is greater than 0.
Compute the sum of all probabilities as follow:
Thus, the probability distribution is valid.
(b)
The histogram is attached below.
(c)
The formula of mean of a discrete probability distribution is:
Compute the mean as follows:
Thus, the mean is 33.47.
Answer:
x≥29
Step-by-step explanation:
25≤x−4
move terms
-x≤-4-25
calculate
-x≤-29
change signs
x≥29
Answer:
A) 14/27 cubic cm
Step-by-step explanation:
Volume of a rectangular prism is length x width x height
Volume = 2 1/3 x 2/3 x 1/3
I'd convert the 2 1/3 to an improper fraction to keep things consistent = 7/3
7/3 x 2/3 x 1/3
multiply the numerators: 7 x 2 x 1 = 14
multiply the denominators: 3 x 3 x 3 = 27
14/27 cubic cm