1. Name the x- and y-intercepts for the equation: 2x + y = 6 (0, 3) and (60) (0, -3) and (-6,0) (3,0) and (0,6) (-3,0) and (0, -
6)
2 answers:
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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: Tthe tower is 129 feet tall.
Step-by-step explanation:
According to trigonometry in a right triangle:
Let x be the height of the tower.
Given ,
Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.
Hence, the tower is 129 feet tall.