Answer:
Step-by-step explanation:
12x - 3 = 180 - (7x - 26) supplementary angles
19x = 209
x = 11
m∠DEC = 12(11) - 3 = 129°
m∠BCE = 7(11) - 26 = 51°
M∠ADE = 129 - 72 = 57° exterior angle rule
m∠EDB = 180 - 57 = 123° supplementary angles
m∠DBC = 57° corresponding angle to ADE
Answer:
The 95% CI for the difference of means is:

Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>
Process 1:
- Sample size: 10
- Mean: 200
- S.D.: 15
Process 2:
- Sample size: 4
- Mean: 300
- S.D.: 50
The difference of the sample means is:

The standard deviation can be estimated as:

The degrees of freedom are:

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.
Then, the confidence interval can be written as:

<span>Let be the length, and be the width.
If the length is 1.6 times the width, then
If the sum of the length and with (in feet) is 130, then
</span><span>Substituting in the equation above, the expression for , we get
--> --> -->
Ten, substituting the value found for in we find
-->
The two equations we set up at the start form a system of linear equations:
</span>
Answer:
, 12, 48, 192...
a. Write a recursive formula for the nth term of the sequence
Ans: a(n+1) = 4*a(n)
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b. Write a general formula for the nth term of the sequence
a(n) = 3*4^(n-1)
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c. Calculate S10 for this sequence
Geometric sequence with a(1) = 3 and r = 4
----?
Step-by-step explanation:
To do 130% increase you multiply by 1.3 so you do 810 × 1.3 = 1053