EXPLANATION:
Given;
We are given that in a class there are the following groups of students;
Required;
We are required to calculate the probability that a student selected at random will have Green eyes OR Blue eyes.
Step-by-step solution;
To calculate the probability of an event, we shall use the following formula;
![P[Event]=\frac{Number\text{ }of\text{ }required\text{ }outcomes}{Number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}](https://tex.z-dn.net/?f=P%5BEvent%5D%3D%5Cfrac%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Drequired%5Ctext%7B%20%7Doutcomes%7D%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dall%5Ctext%7B%20%7Dpossible%5Ctext%7B%20%7Doutcomes%7D)
To calculate the probability that a selected student will have green eyes;
![P[green]=\frac{6}{20}=\frac{3}{10}](https://tex.z-dn.net/?f=P%5Bgreen%5D%3D%5Cfrac%7B6%7D%7B20%7D%3D%5Cfrac%7B3%7D%7B10%7D)
To calculate the probability that a selected student will have blue eyes;
![P[blue]=\frac{5}{20}=\frac{1}{4}](https://tex.z-dn.net/?f=P%5Bblue%5D%3D%5Cfrac%7B5%7D%7B20%7D%3D%5Cfrac%7B1%7D%7B4%7D)
The probability of event A or event B will be the addition of probabilities.
Therefore, the probability that a randomly selected student will have green or blue eyes will be;
![P[G]+P[B]=\frac{3}{10}+\frac{1}{4}](https://tex.z-dn.net/?f=P%5BG%5D%2BP%5BB%5D%3D%5Cfrac%7B3%7D%7B10%7D%2B%5Cfrac%7B1%7D%7B4%7D)
![P[F]+P[B]=\frac{6}{20}+\frac{5}{20}=\frac{11}{20}](https://tex.z-dn.net/?f=P%5BF%5D%2BP%5BB%5D%3D%5Cfrac%7B6%7D%7B20%7D%2B%5Cfrac%7B5%7D%7B20%7D%3D%5Cfrac%7B11%7D%7B20%7D)
Therefore,
ANSWER:
![P[G\text{ }orB]=\frac{11}{20}](https://tex.z-dn.net/?f=P%5BG%5Ctext%7B%20%7DorB%5D%3D%5Cfrac%7B11%7D%7B20%7D)
Answer:
19%
Step-by-step explanation:
Last year:
Number of boys on honor roll = 96
Number of girls on honor roll = 60
Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll
= 96 + 60
= 156
This year:
The number of boys on the honor roll increased by 25%
Number of boys on honor roll = 25% of 96 + 96
= 0.25×96 + 96
= 24 + 96
= 120
The number of girls on the honor roll increased by 10%.
Number of girls on honor roll = 10% of 60 + 60
= 0.10 × 60 + 60
= 6 + 60
= 66
Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll
= 120 + 66
= 186
Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100
= 30 / 156 × 100
= 0.19 × 100
= 19% to the nearest tenth
The formula of a slope:
We have the points A(-7, a) and B(c, d).
Substitute:
Exception: c ≠ -7.
Answer:
1. I need to see the table to answer that
2. I think you need to find the probability of getting 1, H. That probability is 1/10 which is also 10%.
3. can't answer a, but b is 1/14 or 7%
4. as a fraction= 1/6
as a percent= 17% (rounded up)
Step-by-step explanation:
2. I just took the outcome needed and decided by the possible outcomes.
3. That was a compound event so I just got the probability of flipping tails (1/2) and multiplied it by the probability of getting a white ball (1/7)
4. another compound event, I got the probability of getting a medium (1/3) and multiplied it by getting yellow (1/2)
hope this helped!
Answer:
5 cases
10 additional units
Step-by-step explanation:
Given that :
Total number of units needed = 60 units
Total number of units per case = 14
Hence, the total number of cases required will be :
Number of units needed / number of units per case
Number of cases required = 60 / 14 = 4.285 (this means that 5 cases are required as 4 cases won't be up to 60 units)
With 5 cases, we have exceeded the required units needed :
Additional units will be : (14 * 5) - 60
Additional units = 70 - 60 = 10 units
