The intersection of two sets is the set composed by the elements that the two sets have in common.
So, we have
![X\cap Y = \{100,\ 1000\}](https://tex.z-dn.net/?f=X%5Ccap%20Y%20%3D%20%5C%7B100%2C%5C%201000%5C%7D)
In this particular case, since Y is a subset of X, we have
![X\cap Y=Y](https://tex.z-dn.net/?f=X%5Ccap%20Y%3DY)
In fact, all elements of Y are elements of X as well, so in particular they are common elements.
Answer:
The answer is
<h3>2 to 1 significant figure</h3>
Step-by-step explanation:
![1 \frac{2}{5} + \frac{3}{4}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B2%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B4%7D%20)
To solve the question first convert the mixed fraction to an improper fraction
That's
![1 \frac{2}{5} = \frac{7}{5}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B2%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B7%7D%7B5%7D%20)
So we have
![\frac{7}{5} + \frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B4%7D%20)
Find the LCM of the fractions
The LCM of 5 and 4 is 20
That's
![\frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B7%284%29%20%2B%203%285%29%7D%7B20%7D%20%20%3D%20%20%5Cfrac%7B28%20%2B%2015%7D%7B20%7D%20)
![= \frac{43}{20}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B43%7D%7B20%7D%20)
= 2.15
We have the final answer as
<h3>2 to 1 significant figure</h3>
Hope this helps you
The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.
It doesn't matter if Shari starts with the spinner or the game piece
<h3>How to determine the tree diagram</h3>
The experiment involves:
- Rolling a 12-sided game piece
- Spinning the pointer of a 4-section spinner
If Shari starts with the game piece, the sample size (n) would be:
n = 12 * 4
n = 48
If Shari starts with the spinner, the sample size (n) would be:
n = 4 * 12
n = 48
Notice that the sample size remains unchanged irrespective of what he starts with
Hence, it doesn't matter if Shari starts with the spinner or the game piece
Read more about tree diagram at:
brainly.com/question/2581880
Using distributive property, it would become 14x.
To answer this item, we let x be the distance that Jimmy drove from his origin and back. Given the speeds, the time it takes for him to travel to and fro are,
t1 = x / 46
t2 = x / 52
respectively.
The equation that would best represent the scenario is,
x/46 - x/52 = 0.6
The value of x from the equation is 239.2.
The trip there takes x/46 which is equal to 239.2/46 which is also equal to 5.2 hours. The travel from the cabin back took 4.6 hours.