43/9 and 24/9
Working
First rewrite the mixed numbers into improper fraction.
This gives:
43/9 and 8/3
Then find the lcm of the denominators of the fraction i.e 9 and 3
Express the fractions as x/lcm
This gives 43/9 and 24/9
Answer:
Clusters at 1 - 2 1/2 and 3 1/2 - 4
Gaps at 1/2 and 3
Spread from 0 - 4
Peak at 4
Graph is not symmetrical.
Explanation:
The clusters are where the data is grouped <em>without </em>gaps. So from 1 - 2 1/2 and 3 1/2 to 4. There are no gaps. Gaps are spaces <em>without</em> data. These spaces have to be within the spread of the data. The spaces without data within the spread are 1/2 and 3. The spread is the smallest data point to the largest one. The peak is the data point with the most dots. The place with the most dots is 4. A symmetrical graph has a center point that everything revolves around and everything is the same on both sides. There is no symmetry in this graph.
Answer:
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Step-by-step explanation:
![\pi](https://tex.z-dn.net/?f=%5Cpi)
Answer:
Given the information in the attached image;
The number of blue marbles is 5.
The total number of marbles is 10.
So, the probability of drawing blue as the first marble is;
![P_1=\frac{5}{10}=\frac{1}{2}](https://tex.z-dn.net/?f=P_1%3D%5Cfrac%7B5%7D%7B10%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Also, since there is a replacement, the probability of drawing blue as the second marble is;
![P_2=\frac{5}{10}=\frac{1}{2}](https://tex.z-dn.net/?f=P_2%3D%5Cfrac%7B5%7D%7B10%7D%3D%5Cfrac%7B1%7D%7B2%7D)
the probability of drawing two blue marbles will be;
![\begin{gathered} P=P_1\times P_2 \\ P=\frac{1}{2}\times\frac{1}{2} \\ P=\frac{1}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3DP_1%5Ctimes%20P_2%20%5C%5C%20P%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20P%3D%5Cfrac%7B1%7D%7B4%7D%20%5Cend%7Bgathered%7D)
Therefore, the probability of drawing two blue marbles is;
![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°.