Answer:
The 95% confidence interval estimate of the population mean life of the new light-bulb is (469.21 hours, 510.79 hours).
This confidence level means that we are 95% sure that the true population mean life of the new light bulb is in this interval.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now we find M as such:
In which 
is the standard deviation of the population and n is the length of the sample. So:
The lower end of the interval is the mean subtracted by M. So it is 490 - 20.79 = 469.21 hours.
The upper end of the interval is the mean added to M. So it is 490 + 20.79 = 510.79 hours.
The 95% confidence interval estimate of the population mean life of the new light-bulb is (469.21 hours, 510.79 hours).
This confidence level means that we are 95% sure that the true population mean life of the new light bulb is in this interval.
Step-by-step explanation:
Logarithm is basically the exponent - also called power - to which a base must be raised to produce a given number.
Mathematically, it can be displayed as:
is the logarithm of 
to the base 
, if 
, in which case we write
Lets take the first example,
as
Therefore, 4 is the logarithm of 16 to base 2.
Lets take the second example,
- Logarithmic functions are basically inverse of exponents.
Here is how they are related to each other:
Logarithm → Exponent
→ 
- Logarithms are helpful in displaying large number.
Answer:
y=-1/3x-2
Step-by-step explanation:
First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.
Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.
1) Plug slope and points into point slope form:
y+1=-1/3(x+3)
2) Distribute -1/3 to x and 3:
y+1=-1/3x-1
3) Subtract 1 from both sides:
y=-1/3x-2
Now we have our answer is slope intercept form!
Please let me know if you have any questions :)
Answer:
105
Step-by-step explanation:
-R and C are congruent
-B and S are congruent
- That means T and A are congruent
So that means C=19 B= 56 and A= 105
remember a triangle has 180 degrees
each of those marks represent congruent figures and angles.
