Assuming that all the grapes have the same probability of being randomly picked:
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How to find the probabilities?</h3>
We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.
a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:
P = 8/23
But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:
P' = 7/22.
The joint probability is the product of the two individual probabilities:
prob = (8/23)*(7/22) = 0.11
b) For the first green grape we know that the probability is:
P = 8/23
Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:
P' = 15/22
Then the joint probability is:
prob = (8/23)*(15/22) = 0.24
If you want to learn more about probability:
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Steps involved in finding square root using division method:
- Group the digits of the number in pairs. You will start pairing from the decimal point and move away from the decimal point. E.g. for 201.64, first pair would be 2, second would be 01, and third would be 64 (see the attachment for visualizing)
- Now start with the first pair, and find the number whose square is equal to or just less than the first pair. So here, since first pair is 2, that number whose square is just less than or equal to 2 is 1. Now divide 2 by 1 , and also put 1 in the quotient.
- After this step, you will have 1 in quotient, and 1 in divisor with remainder of 2 - 1 = 1. Now bring down the next pair to join with the remainder. The resulting number now is 101
- Now, double the number that is there in the quotient (so 1 becomes 2) and use it to determine the new divisor for 101. The new divisor will be such that when the divisor is multiplied with its unit digit then the product is just less than or equal to 101 (i.e. 2x * x <= 101). So for x = 4, 24 *4 = 96, which is less than 101. Now append this 4 in the quotient. The quotient now become 14. And subtract 96 from 101 to find the remainder. The remainder now is 5
- We have now reached the decimal point in the dividend, so add a decimal point in the quotient
- Now bring down the next pair to join with the remainder. The resulting number now is 564
- Now, double the number that is there in the quotient (so 14 becomes 28) and use it to determine the new divisor for 564. The new divisor will be such that when the divisor is multiplied with its unit digit then the product is just less than or equal to 564 (i.e. 28x * x <= 564). So for x = 2, 282 *2 = 564. Now append this 2 in the quotient. The quotient now become 14.2. And subtract 564 from 564 to find the remainder. The remainder now is 0. Hence, we have completed the problem, and we have the square root with us
- The square root is the quotient obtained: 14.2
Please refer to the attached image to see how the calculations are done
Answer:
18 GIRLS
Step-by-step explanation:
1. Lets write a fraction (4 boys/12 girls)

2. Now lets plug the value in

3. In the original equation, the amount of girls is 3 times the amount of boys
4. multiply 6 and 3 = 18
5. 18 girls
Answer:
Step-by-step explanation:
A) Using the foil method and distribution, you should get x²+10x+7x+70 from (X×X)+(X×10)+(X×7)+(7×10). When you combine these like terms, you get x²+17x+70.
B) Using the same ideology from part A, when you multiply x-3 into x-9. you should get x²-9x-3x+27. Simplifying this will give you x²-12x+27.
Answer:
-57?
Step-by-step explanation: