Answer:
At least 6907 people.
Step-by-step explanation:
Population std deviation = sigma= 10.6
Since population std deviation is known, we can use normal probability table to get sample size from confidence interval.
The sample mean weight loss is within 0.25 lb of the true population mean.
Hence margin of error < 0.25
Margin of error = z critical (std dev/n) where n = sample size
Z critical for 95% = 1.96
Hence 0.25 >1.96(10.6)/sq rt n
Simplify to get
sq rt n > 1.96(10.6)/0.25 = 83.104
Square both the sides to get
n > 83.104 square = 6906.27
i.e. sample size should be atleast 6907.
Answer:yes
Step-by-step explanation:
It has the y=mx+b format
Sum of complement angles = 90
<L + <M = 90
3x - 15 + x = 90
4x - 15 = 90
4x = 105
x = 26.25
<L = 3(18.5) - 15
<L = 63.75
Answer
<L = 63.75°
Answer:
x= 14
Step-by-step explanation:
sqrt( x-5) = x-11
Square each side
(sqrt( x-5))^2 = (x-11)^2
x-5 = x^2 - 22x +121
Subtract (x-5) from each side
x-5-x+5 = x^2 -22x +121 -x+5
0 = x^2 -23x +126
Factor
0 = ( x-14) ( x-9)
Using the zero product property
x-14 = 0 x-9=0
x=14 x=9
Check the solutions
sqrt( x-5) = x-11
sqrt( 14-5) = 14-11
sqrt(9) = 3
3=3
solution
sqrt( x-5) = x-11
sqrt(9-5) = 9-11
sqrt(4) =-2
2 = -2
not a solution
