Answer: 9. triangles measure to 180 degrees
10. 90 degrees
11. 180 degrees
12. angles that measure to 90 degrees
13. angles that measure to 180 degrees
14. 148 degrees
15. 68 degrees
1. a fraction that uses the longest length on a shape
2. 0.3125
3. 0.33333333333
4. 30
5. 0.25
6. 60
7. 15
8. 18
Step-by-step explanation:
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The maximum value of the function is 10
<h3>How to determine the maximum value?</h3>
The function is given as:
P = 2x - y
The feasible regions are given as:
(1,0), (5,5) and (5,0)
Substitute these values in P = 2x - y
P = 2(1) - 0 = 2
P = 2(5) - 5 = 5
P = 2(5) - 0 = 10
The maximum value in the above computation is 10
Hence, the maximum value of the function is 10
Read more about maximum value at:
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Using conversions between odds and probabilities, we have that:
1. A) 4:21
2. 0.952 probability that a bag of flour passes inspection.
3. C) 1:39
4. 41:59.
5. 14:11
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- An odd is given by a:b, in which <u>a is the number of successes and b is the number of failures</u>.
Item 1:
- Probability of 0.16, thus, for 100 trials, <u>16 successes and 84 failures</u>, and the odd is:
16:84, which, simplifying by 4, is 4:21.
Item 2:
- Odd of 20:1 means that 20 + 1 = <u>21 trials, there are 20 successes</u>, thus, the probability is:

0.952 probability that a bag of flour passes inspection.
Item 3:
- Probability of 0.025, thus, for 100 trials, <u>2.5 successes and 97.5 failures</u>, and the odd is:
2.5:97.5, which, simplifying by 2.5, is 1:39.
Item 4:
- 59% probability that he will take the longest trail, thus 100 - 59 = 41% probability of him <u>not tanking the longest trail</u>, thus, the odds against him taking the longest trail is 41:59.
Item 5:
- Probability of 0.56, thus, for 100 trials, <u>56 successes and 44 failures</u>, and the odd is:
56:44, which, simplifying by 4, is 14:11.
A similar problem is given at brainly.com/question/21094006
Answer:
Step-by-step explanation: let Zara's money she earned last week be x.
money earned by Zara this week, x - 25 = 2875 AED
money earned by Zara last week, x - 25 = 2875
x = 2875 + 25 [-25 turns to 25 when transferred to RHS]
x= 2900 AED
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Given:
The ratio of the measures of the three sides of a triangle is
.
Its perimeter is 31.4 centimeters
To find:
The shortest side of the triangle.
Solution:
Let the measures of the three sides of a triangle are
respectively (in cm).
Its perimeter is 31.4 centimeters.




On further simplification, we get


Divide both sides by 3.


Now, the sides of triangle are



Therefore, the length of the shortest side is 6.978 cm.