Answer:
ninth grade teacher is going skipping 30 to each class
Step-by-step explanation:
Answer:
<u>13 Quarters and 18 Dimes</u>
Step-by-step explanation:
Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). Give x and y a break, and make it easier to remember which is which.
D + Q = 31
D = Q + 5
Therefore:
D + Q = 31
(Q+5) + Q = 31
2Q + 5 = 31
2Q = 26
<u>Q = 13</u>
<u>Then D = (13+5) or 18</u>
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Check:
D + Q = 31 ?
18 + 13 = 31 <u>YES</u>
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D = Q + 5 ?
18 = 13 + 5 <u>YES</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:
A 40
Step-by-step explanation:
We can find angle K
J + K + L = 180 The angles of a triangle add to 180
50 + K + 90 =180
140 +K = 180
Subtract 140 from each side
140-140 + K = 180-140
K = 40
Since the triangles are congruent
J = P
K = N
L = M
We want to find N
K = N = 40
K = N
First you add like terms in which this case is -.46x and .16x which equals -.3x then divide 6.6 into -.3 which is -22. x = -22