6x-2(x+1)>0
6x-2x+2>0
4x+2>0
4x+2-2>-2
4x<1/2
Answer: (97.63, 99.77)
Step-by-step explanation:
Given the data:
99.6 99.7 97.9 98.6 97.7
Using calculator, we can obtain the mean and standard deviation of the sample data:
Mean(m) = 98.7
Standard deviation = 0.93
Sample size (n) = 5
Using the relation to find confidence interval :
Mean ± Zcrit * (s/√n)
Zcrit at 99% = 2.576
98.7 ± 2.576 * (0.93 / √5)
Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)
Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)
(97.6, 99.8)
Answer:
-9x^2 - 16
Step-by-step explanation:
h(g(x)) = 3(-3x^2-5) - 1
= (-9x^2-15) - 1
Answer:
x=80
Step-by-step explanation:
39₂+b₂=89₂
1521+b₂=7921
7921-1521=6400
=80
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9514 1404 393
Answer:
(d) scale factor 1/2; center: the origin
Step-by-step explanation:
Consider point B(2, 6). That gets dilated to make point D(1, 3). These coordinates are different, so the center of dilation is not point B. The ratios of the coordinates of D to B are 1/2 and 3/6 = 1/2. This is the scale factor k. (The coordinates of other corresponding points also have the same ratio.)
k = 1/2; dilation center: the origin