The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
Rotations move lines to lines, rays to rays, segments<span> to</span>segments<span>, </span>angles<span> to </span>angles, and parallel lines to parallel lines, similar to translations and reflections. Rotations preservelengths<span> of </span>segments<span> and degrees of measures of </span>angles<span>similar to translations and reflections.</span>
Answer:
-4. (e) (2-7)(5–3)+32. (-5)(2) +9. -10+9. -8710. 913 - 12 - 13. Ex: Evaluate 4x-7 when x=5. 4(5)-7 ... Ex: In the following exercise we show how two linear expressions are ... equivalency of the two expressions you determined to be equivalent above? ... Ex: Determine an expression that is equivalent to 10x+15? lox+1. 5(2X+3).
Step-by-step explanation:
Here is my notes hope it helped
Divide until you get one moth alone then multiply then simplify if you don't know how to simplify please pm me.
Answer:
y = 4x+ 3
Step-by-step explanation:
