Answer:
Step-by-step explanation:
The 6x^2 because 6 is not a perfect square.
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
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:
x + 7
Step-by-step explanation:
1+7=8
2+7+9
so on