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attashe74 [19]
2 years ago
5

Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.

Mathematics
1 answer:
lisov135 [29]2 years ago
7 0

Try this solution (note, the length of midsegment is (KG+FL)/2), all the details are in the attachment.

Answer is marked with green colour.

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Use a negative factor to factor the expression -5g + 15h - 25
Firdavs [7]

Answer:

<h2>-5g + 15h - 25 = -5 × (g - h + 5)</h2>

Step-by-step explanation:

-5g = -5 × g

15h = 5 × 3h

-25 = -5 × 5

-5g + 15h - 25 =  -5 × g - (-5 × 3h) + (-5 × 5) = -5 × (g - h + 5)

3 0
2 years ago
Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
Ray Of Light [21]

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

46=11

You will encounter 11 4s.

5 0
2 years ago
When a decision maker is faced with several alternatives and an uncertain set of future events, s/he uses __________ to develop
Step2247 [10]

Answer:

Option b: a decision analysis

Step-by-step explanation:

Option b: a decision analysis

Decision analysis is referred to that the strategic marketing planning process that consists of a systematic visual approach. it facilitates the use of all tools that can be needed to have a discussion on the decision process.  

An approach like a diagrammatic representation of available resources, choices are mentioned on influence to easily draw the decision.

4 0
2 years ago
An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot
Aleksandr-060686 [28]

Answer:

P_{bottom}=\frac{1}{4}=0.25

Step-by-step explanation:

Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4  again), the probability of taking a specific path is the multiplication of the probability of these two steps:

P_{2steps}=\frac{1}{4}*\frac{1}{4}=\frac{1}{16}

There are only 4 roads that can take the ant to the bottom in 2 steps, each road with a probability of 1/16, adding the probability of these 4 roads:

P_{bottom}=\frac{1}{16}+\frac{1}{16}+\frac{1}{16}+\frac{1}{16}=\frac{4}{16}=\frac{1}{4}

The probability of the ant ending up at the bottom is \frac{1}{4} or 0.25.

6 0
2 years ago
An online article about an opinion poll says that "41% of Americans own a gun." The poll is based on online survey interviews wi
sergejj [24]

Answer:

See below

Step-by-step explanation:

A) The population of the poll is the United States Population EXCLUDING New England States. In other words, the population is all USA population except the New England population. Remember that population is all the set of individuals from where you extract your sample. The sample are those 2,700 adults interviewed.

B) The sampling used is, as said in the statement, a randome sampling.

C) Yes! There could be a bias because of the exclusion of New England States if the people who lives there tends to have more guns than the average american population. This could be, for example, due to that those states have the least gun owning in America or, contrary, if they have the highest. If Rode Island is the most violent state and has the highest gun owning rate, the results could be biased.  However, we can't confirm it without seeing the data, but there is possible.

3 0
2 years ago
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