I need help on this please help!
1 answer:
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
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Hey!
There's two ways we can find the slope intercept form for this equation. Which would be to convert to standard form, or convert to slope intercept form. In this case, I'll be converting the equation to slope intercept form.
<em>Slope Intercept Form Formula :</em>
y = mx + b
Now, we'll write out our original equation and covert it.
<em>Original Equation :</em>
<span>y + 2 = 3 ( x - 7 )
<em>New Equation {Changed by Conversion} :</em>
y = 3x - 23
From here we can really just spot which number is </span>
and that number is 3.
If you want to know how that image is graphed, I attached an image to the answer.
<em>So, the slope of the equation y + 2 = 3 ( x - 7 ) is</em> 3.
Hope this helps!
- Lindsey Frazier ♥
There's two ways we can find the slope intercept form for this equation. Which would be to convert to standard form, or convert to slope intercept form. In this case, I'll be converting the equation to slope intercept form.
<em>Slope Intercept Form Formula :</em>
y = mx + b
Now, we'll write out our original equation and covert it.
<em>Original Equation :</em>
<span>y + 2 = 3 ( x - 7 )
<em>New Equation {Changed by Conversion} :</em>
y = 3x - 23
From here we can really just spot which number is </span>
If you want to know how that image is graphed, I attached an image to the answer.
<em>So, the slope of the equation y + 2 = 3 ( x - 7 ) is</em> 3.
Hope this helps!
- Lindsey Frazier ♥