First, let's define what an angle bisector is. Suppose you draw an angle labeled RST where the vertex is at point S, as shown in the attached picture. The angle bisector is a line segment that is drawn from the vertex S and extended outwards, such that it divides the angle into two equal parts. In this case, the angle bisector is line segment SV. The orange angle represents the total angle equal to (8x-14)°. The half of the angle, denoted as the red curve, represents (3x + 5)°. Th equation to be used is:
∠RST = 2×∠RSV
8x - 14 = 2(3x+5)
8x-14 = 6x + 10
8x - 6x = 10+14
2x = 24
x = 24/2
x = 12°
Answer:
D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Step-by-step explanation:
The result of a product is odd only when the two numbers are odds.
There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.
P(even) = 27/36 = 0.75
Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1
Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5
Answer:
<u>The correct answer is A. 16.5%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly and to calculate the trend:
2006 2007 Trend
Top Coats 297 223 -24.92%
Parkas 210 210 + 0%
Jackets 213 285 +33.80%
Raincoats 137 259 +89.05
Trench coats 103 127 +23.30%
Total 960 1,104 +15%
2. If the trend shown in these graphs stays constant, what percent of the market will parkas occupy in 2008?
Let's calculate the percent of the market occupied by parkas.
In 2006 = 210/960 = 21.88%
In 2007 = 210/1,104 = 19.02%
In 2008 = 210/1,270 = 16.54% (210 + 0 = 210; 1,104 + 15% = 1,270)
<u>The correct answer is A. 16.5%</u>
Celia bought a bag of 12 goldfish for $3, Cost of 1 goldfish is $0.25 .
<u>Step-by-step explanation:</u>
The goldfish is a freshwater fish in the family Cyprinidae of order Cypriniformes. It is one of the most commonly kept aquarium fish. A relatively small member of the carp family, the goldfish is native to East Asia.
Here we have , Celia bought a bag of 12 goldfish for $3 . We need to find the cost of 1 goldfish . Let's find out:
Celia have a bag of 12 goldfish which cost her $3 . So , cost of 1 goldfish is equivalent to
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Therefore, Celia bought a bag of 12 goldfish for $3 , Cost of 1 goldfish is $0.25 .
