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guapka [62]
3 years ago
9

Two way Frequency table question

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0
Answer: choice A

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Work Shown:

P(TV) = (number who watch tv)/(number total)
P(TV) = 30/100
P(TV) = 0.30

P(Girl) = (number of girls)/(number total)
P(Girl) = 55/100
P(Girl) = 0.55

P(TV)*P(Girl) = 0.30*0.55 = 0.165 which rounds to 0.17
We'll use this value later. So let's call this M = 0.17

Look in the "girl" row and "tv" column. The value 17 is here.
This is out of 100 people total, so
P(TV and Girl) = 17/100 = 0.17
Call this value N = 0.17

Because M = N = 0.17 approximately, this means that the two variables "TV" and "Girl" are approximately independent

So the equation P(TV and Girl) = P(TV)*P(Girl) is approximately true in this example.

This points to choice A being the answer.

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If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
Read 2 more answers
Simplify the expression:<br><br> –3(9 − x) =
steposvetlana [31]

Answer:

Expand  -3(9-x): -27 + 3x

Step-by-step explanation:

-3(9-x)

Apply the distributive law: a(b-c)=ab-ac

a = -3, b=9, c=x

=-3*9-(-3)x

Apply minus - plus rules:

-(-a)=a

= -3*9+3x

Multiply the numbers: 3 * 9 = 27

=-27+3x

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

6 0
3 years ago
Lucas made a recipe that needed five-
ser-zykov [4K]

Answer:

2/3 cup

Step-by-step explanation:

Well we see that they both have a common demonitator...6

Next we see the difference on the top of 5-1

After this we add 4 back mon top of the bottom(6)

It can be simplified from 4/6--> 2/3

7 0
3 years ago
*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).
earnstyle [38]

Diameter

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  • √2²+8²
  • √4+64
  • √68
  • 2√17

Radius

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  • √17units

Now

Centre

(h,k)

  • (-7-5/2,-1-9/2)
  • (-12/2,-10/2)
  • (-6,-5)

Equation

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Option A

8 0
2 years ago
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Which expression is equivalent to the expression below?
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Answer:

Step-by-step explanation:

3(7-22x) = 21-66x

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