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dybincka [34]
3 years ago
5

A two-way frequency table shows baldness in men over 45 and men under 45:

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

Yes, Based on this data, baldness and being over 45 are independent events, because P(bald | over 45) = P(bald).

Step-by-step explanation:

The given data is as following:

                Under 45   Over 45    Total

Bald         :   24                16           40

Not Bald  :    36               24          60

Total        :    60               40          100

<u>We should know that:</u>

The events A and B are independent when If P(A∩B) = P(A) * Pr(B)

Using conditional probabilities this property can be written as:

P(A|B) = P(A∩B)/P(B) = P(A) * Pr(B)/ P(B) = P(A)

So, we will check baldness and being over 45 independent events.

From the given data:

1. P(man is bald) = 40/100 = 0.4

3. P(bald | over 45) = 16/40 = 0.4

So, P(man is bald) = P(bald | over 45) = 0.4

<u>So, The events are independent. </u>

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−6x+14&lt;−28 OR 9x+15≤−12
Serhud [2]

Answer:x>7 or x ≤ -3

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Simplify complex fraction 8 over 9/6 
DiKsa [7]
8/(9/6)
(8/1)/(9/6)
(8/1)*(6/9)
48/9
5 1/3
5 0
3 years ago
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
vfiekz [6]

Answer:

y=\frac{1}{2}x-5

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

x-2y=6

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

x-2y-x=6-x\\-2y=-x+6

Divide both sides by -2

y=\frac{1}{2} x-3

Now, we can identify clearly that the slope of the given line is \frac{1}{2} since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of \frac{1}{2} as well. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in the given point (-6,-8)

-8=\frac{1}{2}(-6)+b\\-8=-3+b

Add 3 to both sides to isolate b

-8+3=-3+b+3\\-5=b

Therefore, the y-intercept is -5. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x-5

I hope this helps!

7 0
3 years ago
Help me plz these are my last points and my las try the answer i did said its wrong
irga5000 [103]

Answer:

b=8h, not 8/h

tell me if it help

4 0
2 years ago
Read 2 more answers
Does anybody know how to do this please help meee
Mariulka [41]

Answer:

A

Step-by-step explanation: I believe it's A because It's the opposite but I'm not 100% certain, because I don't remember inverse statements.

6 0
2 years ago
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