(-5/8, 27/20) is the answer.
Answer:
About 41.5%
Step-by-step explanation:
<em>Given:</em>
<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>
<em>To Find:</em>
<em>What is the probability that both grapes are red?</em>
<em>Answer choices:</em>
<em>about 39.7%</em>
<em>about 41.5%</em>
<em>about 42.5%</em>
<em>about 44.5%</em>
<em>Solution:</em>
<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>
<em>As the red grapes are 15..</em>
<em>Thus,</em>
<em>The probability of choosing a red grape the first time is 15/23.</em>
<em>Because out of the total 23 grapes only 15 were red grape.</em>
<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>
<em>Hence, the probability of choosing or eating two red grapes will be :</em>
<em>15/23×14/22</em>
<em>=105/253</em>
<em>=0.415</em>
<em>= 41.5%</em>
<em>Therefore, the probability that both grapes are red is about 41.5%</em>
The midpoint of the segment shown below is (1, -3/2). Option A) is the correct answer.
<u>Step-by-step explanation</u>:
The two end points of the line segments are (1,2) and (1,-5).
<u>step 1</u> :
Midpoint formula = ((x1 + x2)/2 , (y1 +y 2)/2)
<u>step 2</u> :
(x1, y1) = (1, 2)
(x2, y2) = (1, -5)
<u>step 3</u> :
Substitute the values in the midpoint formula,
Midpoint = ((1 + 1)/2 , (2 -5)/2)
= ((2/2) , (-3/2))
= (1, -3/2)
8 books because 77 minus 13 is 64. 64 divided by 8 is 8.