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:
(a) The distribution of the sample proportion is Normal distribution.
(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.
Step-by-step explanation:
We are given that in the United States, 35% of households own a 4K television.
Suppose we take a random sample of 150 households.
<em>Let </em><em> = sample proportion of households who own a 4K television.</em>
The z-score probability distribution for sample proportion is given by;
Z = ~ N(0,1)
where, = sample proportion
p = population proportion of households own a 4K television = 35%
n = sample of households = 150
(a) The distribution of the sample proportion is related to the Normal distribution.
(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( > 0.50)
P( > 0.50) = P(
>
) = P(Z > 3.67) = 1 - P(Z
3.67)
= 1 - 0.99988 = 0.00012
<em>Now, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>
Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.
Answer:
0.29
Step-by-step explanation:
We are given that there are 4 couples i.e. 8 people
They decide to play as teams of two and to select the teams randomly
Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with
For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner
So, Choices For people 1 will be 6 person
So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with =
So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with =
Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29