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Alona [7]
3 years ago
5

THE vertices of ABC are A(-2,2,B(6,2,and c(0,8). The perimeter of ABC is

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0
Using the distance formula:

AB^2 = (-2-6)^2 = (2-2)^2
          = 64
    AB = 8 units
BC^2 = (6-0)^2 + (2-8)^2
          = 36 + 36
          = 72
    BC = 6 root 2
AC^2 = (-2-0)^2 + (2-8)^2
          = 4 + 36
          = 40
    AC = 2 root 10

Perimeter = 8 + 6 root 2 + 2 root 10
                 = 2 (4 + 3 root 2 + root 10) units
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Answer:

a 25 questions, 4 points   b 19 questions

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a 96:100 = 24 : x

x = (100 x 24)/96 = 25 questions

100 : 25 = 4 points

b 76:100 = x : 25

x = (76 x 25)/100 = 19 questions

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3 years ago
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When you woke up this morning, the temperature was −3.4°C. At bedtime, the temperature was 1.7°C. Which expression and statement
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c, the third answer

Step-by-step explanation:

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3 years ago
1b. $1 6​− 1 3​ Lin said the value of this expression is $ 1 6​. Is she correct? Explain or show your reasoning to prove your an
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4 0
3 years ago
A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has
enot [183]

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Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

=\frac{8}{100}\times 10,000=800

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 =\frac{1}{100}\times 800=8

Also,  1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 =\frac{1}{100}\times 9200=92

1. Has condition Does not have condition totals  = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

=\frac{\text{1 percent of 9200}}{9200}\\\\ \frac{\frac{1}{100}\times 9200}{9200}=\frac{92}{9200}\\\\ =0.01

that is Probability equal to 0.01 or 1%.

7 0
3 years ago
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