Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
AB = BE = 5
BD = BE + ED = 5 + 3 = 8
BC = 8
BD = BC
CD = 5 which is not equal to 8.
Triangle BCD has exactly 2 congruent sides.
Answer: Triangle BCD is isosceles.
Answer:
y < x - 4
Step-by-step explanation:
First, move the x over to the other side by subtracting x from both sides. This will get you -y > -x + 4.
Divide both sides by -1 to get rid of the -1 in front of y. Since this is an inequality, dividing or multiplying by a negative number means that you have to flip the sign. We are dividing by a negative number, so flip > to <. The signs on both sides change to get y < x - 4.
Answer: a) There are 42% chances that both units will meet their objectives.
b) There are 88% chances that one or the other but not both of the units will be successful.
Step-by-step explanation:
Since we have given that
Probability that the Red unit will successfully meet its objectives = 60% = P(R)
Probability that Blue unit will successfully meet its objectives = 70% = P(B)
Probability that only Red unit will be successful = P(only Red) = 18%
As we know that
Hence, there are 42% chances that both units will meet their objectives.
the probability that one or the other but not both of the units will be successful is given by
Hence, there are 88% chances that one or the other but not both of the units will be successful.
The first should be 80 the second part of it should be 210 idk if thats completely right sorry if I'm wrong i hope i helped a little
