Suppose we have two bags with the numbers. Each bag has a total of 100 numbers. In the first bag there are 31 lucky numbers, in the second bag there are 18 lucky numbers. We want to add one more bag with 100 numbers to decrease the probability that a randomly selected number from a random bag is the lucky number. How many lucky numbers should be in the third bag?
Answers
Answer:
There should be at most 24 lucky numbers in the third bag.
Step-by-step explanation:
Initially, there are 200 numbers. Two bags with 100 each. There are 31+18 = 49 lucky numbers. So there is a 49/200 = 0.245 probability that a randomly selected number from a random bag is the lucky number.
Now with 300 numbers, we want this probability to be lower than 24.5%. So we should solve the following rule of three:
200 - 49
300 - x
With the third bag, the probability will be the same if 73.5-49 = 24.5 lucky numbers are added. So there should be at most 24 lucky numbers in the third bag.
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Does anyone have the answer for question 18?
Answers
2x(x + 7) -1(x + 7) = 2x² + 14x - x - 7 = 2x² + 13x - 7 ...//Ans ...
15.)
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Answers
26 divided by 53 equals 6 with a remainder of 8.
To solve 326 divided by 53 using long division, let's go step by step:
6
------------
53 | 326
1. First, we divide 53 into 32. The largest multiple of 53 that fits into 32 is 0. So, we bring down the next digit from 326, which is 6.
6
------------
53 | 326
-
2. We now have 326. We divide 53 into 326, which gives us 6. The quotient is written above the line.
6
------------
53 | 326
- 318
3. We subtract 318 from 326, which gives us 8.
6
------------
53 | 326
- 318
-----
8
4. We have a remainder of 8. Since there are no more digits to bring down, we have our final result.
Therefore, 326 divided by 53 equals 6 with a remainder of 8.
Learn more about division here
#SPJ6
Answer: 6.150943396
6.15 if rounded
Step-by-step explanation:
Answers
Answer:
1= 29
2= 61
3= 90
4= 29
5= 90
Step-by-step explanation:
A rectangle has 4 - 90 degree angles. This means angles 3 and 5 are 90. This means the other angle will be split into two parts that add together to 90. If one is 61 then the other is 29. This is angle 4. This means angle 2 is 61 and angle 1 is 29 because rectangles have parallel sides.
Answers
Answer:
Equivalent expression for (18x-12x) is 6x.
6x is the right answer.
Answers
Answer:
x = - 2 is confirmed to be the real solution of the equation.
Step-by-step explanation:
We are tasked with the following activities
Conjecture: How many solutions do have?
Find the real solution(s) of the equation.
Then use polynomial long division to find the other solution(s).
To start with the how many solutions that have
suppose that -2 happens to be a root of the equation, we can easily replace x = - 2 in the given equation. Then , we will have :
-8 - 20 + 28 = 0
-28 - 28 = 0
0 = 0
The equation resulted to 0 = 0 when x = -2 , as such -2 happens to be one root of the equation
So , as x = - 2
x + 2 = 0
x = - 2 is confirmed to be the real solution of the equation.
A picture showing the polynomial long division method used for solving the polynomial equation and other solution(s) can be found in the attached file below.
measures marked with
question marks.
Answers
Answer:
First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.
The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.
Step-by-step explanation:
Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.
Hope this helped im not sure if its right though.