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Mama L [17]
3 years ago
14

In dividing an irregular shape into polygons it is permissible for the polygons to overlap

Mathematics
1 answer:
masya89 [10]3 years ago
6 0
NO it is not possible when dividing an irregular shape to polygons to overlap. Every polygon would be broken up in piece.
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What equation represents the graphed function
Marina86 [1]

Answer: y=\dfrac{-1}{3}x+3

Step-by-step explanation:

The equation of ab line that passes through two points (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-c}{b-a}(x-a)

From the given picture , the line is passing through points (0,3) and (3,2).

Then, the equation of the line will be :-

(y-3)=\dfrac{2-3}{3-0}(x-0)

\Rightarrow y-3=\dfrac{-1}{3}x

\Rightarrow y=\dfrac{-1}{3}x+3

Hence, the required equation of the line that represents the graphed function : y=\dfrac{-1}{3}x+3

7 0
3 years ago
Read 2 more answers
Y = 4x - 6
Studentka2010 [4]

Answer:

B) 2x - 12x - 18 = 8

Step-by-step explanation:

2x - 3y = 8

If y = 4x - 6, then substitute and solve:

2x - 3(4x - 6) = 8

2x - 12x - 18 = 8

10x - 18 = 8

10x = 8 + 18

10x = 26

x = 26/10

x = 2.6

y = 4(2.6) - 6

y = 10.4 - 6

y = 4.4

8 0
3 years ago
Donna is running a track it takes her 10 minutes to run 6 laps if she keeps running at the same speed how long will it take her
kaheart [24]
To solve this problem we can make a proportion.
6      5
-- = ---
10    x

to solve this proportion we can cross multiply and divide.
5 times 10 is 50.  divided by 6 is 8.3
it will take her 8.3 minutes to run 5 laps
7 0
3 years ago
Read 2 more answers
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
2 years ago
the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?​
dmitriy555 [2]

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

4 0
3 years ago
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