Answer:
(a) 0.28347
(b) 0.36909
(c) 0.0039
(d) 0.9806
Step-by-step explanation:
Given information:
n=12
p = 20% = 0.2
q = 1-p = 1-0.2 = 0.8
Binomial formula:
(a) Exactly two will be drunken drivers.
Therefore, the probability that exactly two will be drunken drivers is 0.28347.
(b)Three or four will be drunken drivers.
Using binomial we get
Therefore, the probability that three or four will be drunken drivers is 0.3691.
(c)
At least 7 will be drunken drivers.
![P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29%2BP%28x%3D6%29%5D)
![P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.06872%2B0.20616%2B0.28347%2B0.23622%2B0.13288%2B0.05315%2B0.0155%5D)
![P(x\leq 7)=1-[0.9961]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.9961%5D)
Therefore, the probability of at least 7 will be drunken drivers is 0.0039.
(d) At most 5 will be drunken drivers.
Therefore, the probability of at most 5 will be drunken drivers is 0.9806.
Answer:
<h2 /><h2>
<em>answe</em><em>r</em><em> will</em><em> be</em><em> </em><em>0</em><em>.</em><em>3</em><em>5</em><em>3</em><em>8</em></h2>
Step-by-step explanation:
m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.
<h3>
Further explanation</h3>
Follow the attached picture. I sincerely hope that's precisely a correct illustration.
We will use a graph of two intersecting straight lines.
Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see 
We continue to determine m ∠b and m ∠d.
Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.
Let us see the following steps.
Both sides subtracted by 47°.
Thus 
Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, 
<u>Conclusion:</u>
- m ∠a = 47°
- m ∠b = 133°
- m ∠c = 47°
- m ∠d = 133°
<u>Notes:</u>
- Supplementary angles are two angles when they add up to 180°.
- Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure.
<h3>Learn more</h3>
- About the measure of the central angle brainly.com/question/2115496
- Undefined terms needed to define angles brainly.com/question/3717797
- Find out the measures of the two angles in a right triangle brainly.com/question/4302397
Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent
Answer:
The product = 7
Step-by-step explanation:
7/8 * 8 = 7
(Multiplying a fraction by its denominator cancels the denominator out)
Answer:
25%
Step-by-step explanation:
ratio is 3B : 1G (this means, out of 4 sections, 3 are boys and 1 are girls)
this means that 3/4 of class is boys and 1/4 are girls
1/4 equals 25%
