Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same s
2 answers:
<h2>Answer:</h2>
A. cone
D. triangular pyramid
E. square pyramid
(Look at the photo at the bottom.)
<h2>Step-by-step explanation:</h2>First, know what a cross section is. A cross section is the exposed shape or surface when a straight cut is made through a 3D figure. For example, if I make a cross section, or cut, through a sphere, the cross section will be a circle. The newly exposed surface is in the shape of a circle.
We want to know which 3D figures can make 2 different cross sections, parallel to the base, that are congruent. Congruent means <em>same shape but different size.</em> <em>Parallel to the base</em> means the cut is completely horizontal.
- A cone is one, because no matter where you horizontally cut this, the cross section will always be a circle, but different sizes.
- A triangular pyramid is another, because no matter where you horizontally cut this, the cross section will always be a triangle, but different sizes.
- A square pyramid is another, because no matter where you horizontally cut this, the cross section will always be a square, but different sizes.
Here's a photo of Edge incase you're doubtful.
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Answer:
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Step-by-step explanation:
The results were roughly normal, so we can find the normal confidence interval.
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 M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 4.53 = $37.47.
The upper end of the interval is the sample mean added to M. So it is 42 + 4.53 = $46.53.
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.