GiveN:
To FinD:
Step-wise-Step Explanation:
We know that
In any parallelogram, the diagonals (lines linking opposite corners) bisect each other. Then, AE = EC for diagonal AC and BE = DE for diagonal BD.
⇒ BE = DE
⇒ x - 4 = 28 units
⇒ x = 32 units
Hence, The required value of x here is <u>3</u><u>2</u><u> </u><u>units</u><u>.</u>
Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)
Answer: $943.11
<u>Step-by-step explanation:</u>
Compound Interest formula is: where
It is given that; P = 800 r = 4.2% (0.042) t = 4
A = 800(1 + 0.042)⁴
A = 800(1.042)⁴
A = 943.106 → A = 943.11 (rounded to the nearest penny)
Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11
Answer:
B
Step-by-step explanation:
(Subtract 2L from both sides of the equation)
(Symmetric Property of Equality)
(Divide both sides of the equation by 2)
("Split" the fractions)
(Simplify)
Hope this helps!