We may answer the question above by dividing the expression y² - 10x + 24 with the given factor, y - 4. The division would give an answer of y - 6. Thus,
<span>y² - 10x + 24 = (y - 4)(y - 6)
The answer is the fourth choice, y - 6.</span>
1) 26 different outcomes are in the sample space.
2) 1 / 26 is the probability that the computer produces the first letter of your first name.
<u>Step-by-step explanation:</u>
<u>1) You have to find out the different outcomes in the sample space :</u>
- A "Sample space" is defined as the set of all the possible outcomes of an event.
- Here, the given event is randomly selecting a letter from the alphabets.
Therefore, the sample space must contain all the possible alphabets that can be chosen randomly.
The sample space is the set of all the 26 alphabets in English language.
⇒ Sample space = {A,B,C,D...........,Y,Z}
⇒ 26 different outcomes.
<u>2) The probability the computer produces the first letter of your first name :</u>
Here, the required outcome is getting the first letter of your first name.
Probability = No. of required outcomes / total no. of outcomes.
For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.
∴ Probability = 1 / 26
Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.
Answer:
Step-by-step explanation:
Given :
→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
i.e, The ratio of red paint to blue paint is 3:5
→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.
i.e, The ratio of red paint to blue paint is 4:7
To find :
1) Compare the ratios of red paint to blue paint.
2) The ratio for Purple People Eater can be expressed in fraction form as :
3) The ratio for Purple Majesty can be expressed in fraction form as :
4) To compare these fractions, rewrite them with a common denominator
For common denominator
Multiply numerator and denominator by 4 in 
Multiply numerator and denominator by 5 in 
Common denominator is 20
When putting data into a class for this case, 0.350 - 0.359, they should be within the class boundaries. The class boundaries are 0.3495 and 0.3595. So, the data that will go into that class are 0.356 and 0.358. The record 0.349 is not included since it is below 0.3495. Therefore, there are only two values in the class.
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