Since the problem states "at least" we need to also find probability of 3 H or 4 H or 5 H
Now find the probability of flipping a head 4 times;
⁴
= (1/16)
Now probability of flipping a head 3 times: (4C3)(1/2)⁴ = 4/16
Probability of flipping a head 2 times; (4C2)(1/2)⁴=6/16
(1/16)+(4/16)+(6/16)=11/16
Probability of flipping a fair coin 4 times with at least 2 heads is 11/16.
Hope I helped :)
A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. The distance of how far the fisherman row if the entire trip took 2 hours is 9.6 miles
<u />
The speed of an object refers to the change of the object's distance within a specified time.
Mathematically, we can have;
Distance = speed × time
From the information given;
- The fisherman row upstream for 4 miles/ hour.
- The distance covered by the fisherman = 4 × t₁ ----- (1)
- The fisherman row downstream at 6 miles/ hour
- The distance covered by the fisherman = 6 × t₂ ------ (2)
- SInce it took the entire trip 2 hours, we can infer that:
From equation (2), replace the above value of t₂ into equation (2)
- d = 6 t₂
- d = 6(2 - t₁)
- d = 12 - 6t₁
From equation (1)
Equation both distance together, we have:
- 12 - 6t₁ = 4t₁
- 12 = 4t₁ + 6t₁
- 12 = 10t₁
- t₁ = 12/10
- t₁ = 1.2 hours
From t₂ = 2 - t₁
- t₂ = 2 - 1.2
- t₂ = 0.8 hours
From d = 4t₁
Replace t₁ with 1.2 hours
- d = 4(1.2 hours)
- d = 4.8 miles
Also, from d = 6t₂
Therefore, we can conclude that the distance of how far the fisherman row if the entire trip took 2 hours is (4.8+4.8) miles = 9.6 miles
Learn more about distance here:
brainly.com/question/12319416?referrer=searchResults
Answer: option D: 11/12
Explanation:
1) The sample space is formed by 36 pairs: 6×6 = 36.
2) Roolling 4 or more is the same that not rolling 3 or less
3) Rolling 3 or less are (1,1), (1,2), and (2,1). Those are 3 outcomes out of 36.
4) Therefore, not rolling 3 or less (the same that rolling 4 or more) has 36 - 3 = 33 outcomes out of 36.
5) The probability of 33 out of 36 is 33/36
6) Simplify the fraction 33/36 = 11/12
And that is the answer.
Computing the <u>ratio of raisins to ounces</u>, it is found that due to the <u>higher computed ratio</u>, brand B advertises the greatest ratio of raisins per ounce.
---------------------------
- For <em>brand A</em>, there are 60 raisins in the 24-ounces box, thus the ratio is of
, that is, 2.5 raisins per ounce. - For <em>brand B</em>, there are 18 raisins in the 6-ounce box, 36 in the 12-ounce, and it follows this ratio, thus
, thus, 3 raisins per ounce. - For <em>brand C</em>, there are 20 raisins in the 10-ounce box, 30 in the 15-ounce, and so on, thus
, thus, 2 raisins per ounce. - Due to the <u>higher computed ratio</u>, brand B advertises the greatest ratio of raisins per ounce.
A similar problem is given at brainly.com/question/24622075
Angle A = 100 , Angle C = 100 , Angle D =80
