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.
Simplify both sides of the equation
25d-14d+8d = 95
Simplify
19d = 95
Divide both sides by 19
19d/19 = 95/19
d = 5
I hope that's help !
Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape, then five different ways are shown.
<h3>Further explanation
</h3>
Area is the number of squares inside a two-dimensional shape.
Here are two important principles for finding area:
- If two figures can be placed one on top of the other, then they have the same area so that they match up exactly.
- We can decompose a figure (break a figure into pieces) and rearrange the pieces (move the pieces around) to find its area.
A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. For rectangle, shapes can be decomposed and rearranged back to rectangles to find the area. When decomposing and rearranging shapes the area of the polygon does not change.
The rectangle is shown in the picture below. After decompose the rectangle along the diagonal, we can varied the pieces to make various different shape. Picture below also shown the five different ways pieces from the rectangle.
<h3>Learn more</h3>
- Learn more about rectangle brainly.com/question/2810576
- Learn more about Decomposing and Rearranging brainly.com/question/3026941
- Learn more about Area and Surface Area brainly.com/question/9265968
<h3>Answer details</h3>
Grade: 9
Subject: Mathematics
Chapter: Area and Surface Area
Keywords: Area, Surface Area, Decomposing, Rearranging, rectangle
Answer:
Dividend- The number that is divided is called the dividend
Divisor- a number that divides a integer ( It is the number that is divided by the Dividend)
Quotient- is the result when dividing.
Remainder- is the amount that is left over after dividing
Step-by-step explanation:
Example
36 ÷ 6 = 6
36 is the Dividend
6 is the Divisor
6 is the Quotient
No remainder
Hopes this helps!
I think it is <span>Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles) im not that sure but it is the best i got</span>
