Answer:
X = 15
Step-by-step explanation:
We move all terms to the left:
<em>x+8+2x-(2x+13)=0</em>
We add all the numbers together, and all the variables:
<em>3x-(2x+13)+8=0</em>
We get rid of parentheses:
<em>3x-2x-13+8=0</em>
We add all the numbers together, and all the variables:
<em>x-5=0</em>
We move all terms containing x to the left, all other terms to the right:
<em>x=5</em>
Answer:
2a+3b+5=20
Step-by-step explanation:
The equation of the line in slope intercept form is y = 7x - 2
<h3>How to find the equation of a line?</h3>
The equation of the line can be solved with the following equation.
y = mx + b
where
Therefore,
m = -2 - 5 / 0 - 1 = -7 / -1
m = 7
Hence, using (1, 5)
y = 7x + b
5 = 7(1) + b
5 - 7 = b
b = -2
Therefore,
y = 7x - 2
Hence, the equation of the line in slope intercept form is y = 7x - 2
learn more on equation of a line here: brainly.com/question/14956513
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Answer:
Probability that deliberation will last between 12 and 15 hours is 0.1725.
Step-by-step explanation:
We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.
<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean time = 12.56 hours
= standard deviation = 6.7 hours
So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X
12)
P(X < 15) = P(
<
) = P(Z < 0.36) = 0.64058
P(X
12) = P(
) = P(Z
-0.08) = 1 - P(Z < 0.08)
= 1 - 0.53188 = 0.46812
<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>
Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.
Answer:
true.
Step-by-step explanation: