Answer:
The 95% confidence interval of the true mean.
(29.4261 ,36.9739)
Step-by-step explanation:
<u>Step :- (i)</u>
Given sample size 'n' =15
sample of the mean x⁻ = 33.2
The standard deviation of the sample 'S' = 8.3
<u>95% of confidence intervals</u>
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<u>Step:-(ii)</u>
<u>The degrees of freedom γ=n-1 = 15-1=14</u>
The tabulated value t = 1.761 at 0.05 level of significance.
now substitute all possible values, we get
After calculation , we get
(33.2-3.7739 , 33.2+3.7739
(29.4261 ,36.9739)
<u>Conclusion</u>:-
the 95% confidence interval of the true mean.
(29.4261 ,36.9739)
If we think about a normal curve / bell curve and the 68-95-99.7 rule, we know that the majority of data will lie within 1, 2, or 3 standard deviations from the mean. The mean is in the center of the curve, and to each side of the mean, 34% of the data lies 1 standard deviation on either side of the mean. Therefore, we need to add and subtract one standard deviation from the mean.
85 + 12 = 97
85 - 12 = 73
Correct Answer: B. 73 - 97
Hope this helps!! :)
By using the AAA congruence property of Triangles, △aec≅△deb is proved
It is given two triangles, Δaec and Δdeb, where e is the common point known as the midpoint of ad
Also, it is given that,
ca ║db
We need to prove that, △aec≅△deb
Then we'll use AAA congruence property of Triangles to prove the situation
As ca ║db
then, ∠cae = ∠ebd (Alternate angles)
∠ace = ∠edb (Alternate angles)
and ∠aec = ∠deb (common angles)
Thus, by AAA congruence property, △aec≅△deb
Hence, proved
To learn more about, congruence property, here
brainly.com/question/2039214
#SPJ4
Answer:
I hope this helps. If I misunderstood the question let me know
Step-by-step explanation:
1. When dividing a negative by a negative, your answer would be positive.
2. When dividing a negative by a positive, your answer will be negative.
3. When dividing a positive by a negative,your answer will be negative.
