Answer:
11/12
Step-by-step explanation:
I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.
Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
Answer:
Option C is right
Step-by-step explanation:
Given are two samples
I group has sample size 90, mean = 9.2 and std dev =0,.37
II group has sample size 70, mean = 7.3 and std dev = 0.58
we find that mean difference i.e. difference between mean hours of sleep between two groups
= 9.2-7.3 = 1.9
Std error for difference = 0.0620
Since sample size is sufficiently large we can use Z critical for 99%
i.e. 2.58
Margin of error =±2.58(0.062)
=0.16
Hence confidence interval 99% for difference in hours of sleep
= (1.9-0.16,1.9+0.16)
=(1.74, 2.06)
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Answer:
x = -1±sqrt(5/3)
Step-by-step explanation:
3x^2+6x=2
We will use completing the square
Factor out a 3 on the left
3(x^2 +2x) = 2
Divide each side by 3
3/3(x^2 +2x) = 2/3
(x^2 +2x) = 2/3
2/2 = 1 1^2 =1
Add 1 to each side
(x^2 +2x+1) = 2/3+1
(x+1) ^2 = 2/3 +3/3
(x+1)^2 = 5/3
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(5/3)
x+1 = ±sqrt(5/3)
Subtract 1 from each side
x+1-1 = -1±sqrt(5/3)
x = -1±sqrt(5/3)
Answer:
3.60$
Step-by-step explanation:
if we bought 3 pens that would equal 1.20$ so we add 1.20$ to 2.40$ we get 3.60$
