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>
Given:
To find:
The 
.
Solution:
In circle B, 
is central angle and 
is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[Central angle theorem]
Divide both sides by 2.
Therefore, 
.
Answer: <em>(-3; -11)</em>
Step-by-step explanation:
Answer:
20,158 cases
Step-by-step explanation:
Let 
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:
To find number of cases in 2020, we will substitute 
in our decay function as:
Therefore, 20,158 cases will be reported in 2020.
11 days, 21 hours, and 52 minutes have elapsed
(this answer is assuming he would have a normal heart rate of 70 bpm)
First, you would divide 1,200,703 by 70:
1,200,703/70=17,152.9
This is the amount of minutes that have elapsed.
Then, you convert the minutes to hours by dividing by 60:
17,152.9/60=285.8816667 (285 hours and 52 minutes)
This gives you how many hours and minutes have elapsed.
Finally, you calculate the number of days that have elapsed by dividing 285 by 24 (there are 24 hours in a day):
285/24=11.875 (11 days and 21 hours).
Put all of the amounts together to get the final answer:
11 days, 21 hours, and 52 minutes have elapsed
