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Ainat [17]
3 years ago
7

Find the area to this figure

Mathematics
1 answer:
12345 [234]3 years ago
7 0

I think the answer is 62 cm2

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Alison is learning how to walk. 50% of the time that she takes a step she falls down. Her older brother wants to design a simula
MissTica

Answer with explanation:

Alison is learning how to walk.50% of times she takes a step she falls down.

Probability of falling down in next step =\frac{50}{100}=\frac{1}{2}

Probability of not falling down in next step =\frac{50}{100}=\frac{1}{2}

From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.

While Simulating the Probability of falling down should be =\frac{5}{7}

And , probability of not falling down1-\frac{5}{7}=\frac{2}{7}

→→⇒F=Falling, NF=Non Falling

A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.

P(F)=\frac{1}{6},P(NF)=\frac{5}{6}

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.  

B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.

P(F)=\frac{1}{6},P(NF)=\frac{5}{6}

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.

P(F)=\frac{1}{2},P(NF)=\frac{1}{2}

Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.  

D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.

P(F)=\frac{1}{2},P(NF)=\frac{1}{2}

Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.

Option D

4 0
3 years ago
Read 2 more answers
Alice and her friend Emma leave on different flights from the same airport. Alice's flight flies 100 miles due south, then turns
DaniilM [7]

9514 1404 393

Answer:

  Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

__

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

  d² = 100² +50² -2·100·50·cos(180° -T)

  d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)

  d = 100√(1.25+cos(T))

For Alice's 70° turn, the distance is ...

  d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

  d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

_____

The law of cosines formula is ...

  c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

3 0
3 years ago
An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles.
V125BC [204]

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

8 0
3 years ago
Below is the table of values for<br> the following function.<br> f(x) = 22 - 5x + 4
notsponge [240]

Answer:

Step-by-step explanation:

Thde y-intercept is the value oy y when x = 0.  The data table tells us the value of y when x=0 is 4.  The ordered pair is (0,4)

3 0
2 years ago
Every student in the senior class is taking history or science and 85 of them are taking both. If there are 106 seniors taking h
MissTica

Number of students in senior class is 130

<em><u>Solution:</u></em>

Given that Every student in the senior class is taking history or science

85 of them taking both history and science

106 seniors takes history

109 seniors takes science

To find: number of students in senior class

Let A be the set of the students of the senior class that take history

Let B be the set of students of senior class that they science

The number of students in senior class is given by:

|A \cup B|=|A|+|B|-|A \cap B|

Where,

A = 106 and B = 109 and |A n B| = 85

|A \cup B|=106+109-85=130

Thus number of students in senior class is 130

5 0
3 years ago
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