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Alex_Xolod [135]
3 years ago
9

Question 5(Multiple Choice Worth 4 points)

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Hello!

The number 49 is similar to other numbers like 25, 81, 4, or 64. All these numbers are perfect squares. Perfect squares are numbers multiplied by itself. Here is a list of commonly used perfect squares.

  • 1 × 1 = 1
  • 2 × 2 = 4
  • 3 × 3 = 9
  • 4 × 4 = 16
  • 5 × 5 = 25
  • 6 × 6 = 36
  • 7 × 7 = 49
  • 8 × 8 = 64
  • 9 × 9 = 81
  • 10 × 10 = 100
  • 11 × 11 = 121
  • 12 × 12 = 144

From the list above, the square root of 49 is 7, but the question asks for the <u>negative</u><u> square root of 49</u>, which is written as: -√49.

To simplify this expression, first, simplify the radical, and then multiply the product by negative one.

7 × -1 = -7

Therefore, the negative square root of 49 is choice C, - 7.

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P=0.176  or 17.6%

b)eats between meals and drinks alcoholic beverages but doesn't smoke

P=0.062  or 6.2%

c.) neither smokes nor eats between meals

P=0.342  or 34.2%

Step-by-step explanation:

Using a Venn diagram with three circles, one for each bad health habit. Let us a for the students that only smoke, b for only drink alcoholic beverages, and c for only eat between meals. Following this logic, d represents smoke and drink alcoholic beverages but not eat between meals,  e drink alcoholic beverages and eat between meals but not smoke,f eat between meals and smoke but not drink alcoholic beverages. Finally g for having all the three, this means g=52.

To find f, subtract 52 (the three problems) from 97 because this last number represents all the students that smoke and eat between meals, including the students that have the three bad habits. The same goes for 'd' and 'e'.

f=97-52=45

e=83-52=31

d=122-52=70

To find a, subtract e, f, and g from the total of smokers. This is because e, f, and g represent smoke and at least another bad habit and a represents only smoking.

a=210-d-f-g=210-70-45-52=43

The same goes for b and c.

b=258-d-e-g=258-70-31-52=105

c=216-e-f.-g=216-31-45-52=88

Adding all letters and subtract from the total to see if there is any healthy student:

500-a+b+c+d+e+f+g =500-43+105+88+70+31+45+52=500- 434=66

a)Smoke but doesn't drink alcoholic beverages

This will be 'a' (only smokes) and 'f'  ( smokes and eats between meals but doesn't drink) divided by the total of students.

P=(43+45)/500=0.176

b)eats between meals and drinks alcoholic beverages but doesn't smoke

This probability is 'e' divided by the total of students.

P=31/500=0.062

c.) neither smokes nor eats between meals

This will be 'b' (only drinks) plus the healthy students (66) divided by the total of students.

P=(105+66)/500=0.342

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3 years ago
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