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raketka [301]
3 years ago
9

Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit

h 40 students. What is the probability that exactly 5 of them have blue eyes? 0 0.0573 0.1023 0.1165 0.9020
Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

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PSYCHO15rus [73]

Answer:

The product = 7

Step-by-step explanation:

7/8 * 8 = 7

(Multiplying a fraction by its denominator cancels the denominator out)

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2 years ago
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inysia [295]

Answer:

C/3rd one. (y=2x+4)

Step-by-step explanation:

In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.

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3 years ago
Sam's van travels 208.8 miles on 9 gallons of gasoline. Hasan's small car travels 234.4 miles on 8 gallons of gasoline. What is
poizon [28]

Answer:

The difference between the vehicles is 0,009 gallons per mile.

Step-by-step explanation:

To know the difference between the vehicles in gallons per mile we need to obtain this information for each car:

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5 1
3 years ago
Read 2 more answers
Could someone help me with this please!
sertanlavr [38]
Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96

x = 16
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Angle 1, 2, and 3 also make up a straight line.
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6 0
3 years ago
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8p + 2q = -16<br> 2p - q=2
yKpoI14uk [10]

Answer:

p = -1  q = -4

Step-by-step explanation:

a system of eq and solve for p and q ???  can do  :)

Eq. 1)  8p + 2q = - 16

Eq. 2)  2p - q = 2

use Eq .2 and solve for q

2p - 2 = q

plug into Eq.1 with q

8p +2(2p - 2) = - 16

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p = -1

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2q = -8

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8 0
3 years ago
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