7x-55/40-x = 1/2
14x-110 = 40-x
15x = 150
x = 10
GJ = 40-x = 40-10 = 30
The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
<h3>What is a confidence interval?</h3>
In statistics, a confidence interval is a range to estimate for unknown terms.
The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
We need to find the 
= 0.645
So,
= 1.96 × 0.645
CI =1.26
C.I= 28±1.2652
Upper limit = 28+1.2652
=29.2625
Lower limit =28-1.2652
=26.7348
Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
Learn more about confidence intervals;
brainly.com/question/12899226
Total number of people in ward = 16
Number of nurses = 10
Number of male nurses = 4
Number of female nurses = 6
Number of doctors = 6
Number of male doctors = 3
Number of female doctors = 3
We are to find the probability of selecting a female or a doctor.
Probability of selecting a female or a doctor = Probability of selecting a female + probability of selecting a doctor - probability of selecting a female doctor
Probability of selecting a female or a doctor = 9/16 + 6/16 - 3/16 = 3/4
Thus, the probability of selecting a female or a doctor is 3/4
For the equation,
y = 1/2(x+3)^2 -5
The vertice is (-3,-5). Therefore the axis of symmetry is X = -3.