<h3>Given:</h3>
- w= 6 units
- h= 6 units
- l= 10 units
<h3>Note that:</h3>
- w: width
- h: height
- l: length
<h3>To find:</h3>
- The volume of the given triangular prism.
<h3>Solution:</h3>
- Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.
Let's solve!
First, let's multiply width and height.
Now, we'll have to divide the answer by 2.
Then, multiply the answer by length.
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>triangular</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>8</u><u>0</u><u> </u><u>cubic</u><u> </u><u>units</u><u>.</u>
This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125
Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125
Answer:
a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79
b) $0.57
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, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
So the answer for b) is $0.57.
The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65
The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79
The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79
We can figure out how many numbers there are from 368 to 500 by subtracting.
500 - 368 = 132
Now, we need to get it in word form. This can be done by looking at the place value of each number.. So your answer would be:
1 hundred, 3 tens, and 2 ones.
