9^2 (write it like a exponent)
Answer:
(1238.845 ;1285.376)
Step-by-step explanation:
Conditions for constructing a confidence interval :
Data must be random
Distribution should be normal and independent ;
Based on the conditions above ; data meets initial conditions ;
C. I = sample mean ± margin of error
Given the data :
1241 1210 1267 1314 1211 1299 1246 1280 1291
Mean, xbar = Σx / n = 11359 / 9 = 1262.11
The standard deviation, s = [√Σ(x - xbar)²/n - 1]
Using a calculator ; s = 37.525
The confidence interval :
C.I = xbar ± [Tcritical * s/√n]
Tcritical(0.10 ; df = n - 1 = 9 - 1 = 8)
Tcritical at 90% = 1.860
C. I = 1262.11 ± [1.860 * 37.525/√9]
C.I = 1262.11 ± 23.266
(1238.845 ;1285.376)
± 23.266
The margin of error :
[Tcritical * s/√n]
[1.860 * 37.525/√9]
C.I = ± 23.266
Answer:
(3a - 4 )^2
Step-by-step explanation:
(9a^2-24a+16)=(3a - 4 )^2
Therefore the length of each side of the square is (3a - 4 )^2
The expression that is equal to -4 is D 16/-4 which means option D is correct. ( it should be noted that option D is not written properly)
<h3>Why is that 4 is equals to 16
/-4?</h3>
In a mathematical expression when as negative vale is been used to multiply a negative value, then we will have a positive values , same thing with when a negative value is used to multiply a positive value, a negative value will be gotten.
In the case of the question, if positive value is used to divide a negative value, a negative value will be gotten, hence expression that is equal to -4 is 16/-4 which is means optionD is correct.
Therefore, option C is correct.
Learn more about mathematical expression at:
brainly.com/question/723406
#SPJ1
Answer:
the answer for ratio 16 to 14 = 1:3
Step-by-step explanation:
16:48
8:24
4:12
1:3
